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Shen Z, Zhou X, Zhao M, Li Y. A Structural Optimization Framework for Biodegradable Magnesium Interference Screws. Biomimetics (Basel) 2025; 10:210. [PMID: 40277609 PMCID: PMC12024998 DOI: 10.3390/biomimetics10040210] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/04/2025] [Revised: 03/20/2025] [Accepted: 03/24/2025] [Indexed: 04/26/2025] Open
Abstract
Biodegradable magnesium alloys have garnered increasing attention in recent years, with magnesium alloy-based biomedical devices being clinically used. Unlike biologically inert metallic materials, magnesium-based medical devices degrade during service, resulting in a mechanical structure that evolves over time. However, there are currently few computer-aided engineering methods specifically tailored for magnesium-based medical devices. This paper introduces a structural optimization framework for Mg-1Ca interference screws, accounting for degradation using a continuum damage model (CDM). The Optimal Latin Hypercube Sampling (OLHS) technique was employed to sample within the design space. Pull-out strengths were used as the optimization objective, which were calculated through finite element analysis (FEA). Both Response Surface Methodology (RSM) and Kriging models were employed as surrogate models and optimized using the Sequential Quadratic Programming (SQP) algorithm. The results from the Kriging model were validated through FEA, and were found to be acceptable. The relationships between the design parameters, the rationale behind the methodology, and its limitations are discussed. Finally, a final design is proposed along with recommendations for interference screw design.
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Affiliation(s)
- Zhenquan Shen
- Faculty of Artificial Intelligence in Education, Central China Normal University, Wuhan 430079, China
| | - Xiaochen Zhou
- School of Materials Science and Engineering, Peking University, Beijing 100871, China
| | - Ming Zhao
- Schlumberger Technology Corporation, Houston, TX 77054, USA
| | - Yafei Li
- School of Materials Science and Engineering, Zhengzhou University, Zhengzhou 450001, China
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2
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Carbonaro D, Ferro N, Mezzadri F, Gallo D, Audenino AL, Perotto S, Morbiducci U, Chiastra C. Easy-to-use formulations based on the homogenization theory for vascular stent design and mechanical characterization. COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE 2024; 257:108467. [PMID: 39488040 DOI: 10.1016/j.cmpb.2024.108467] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/21/2024] [Revised: 10/03/2024] [Accepted: 10/16/2024] [Indexed: 11/04/2024]
Abstract
BACKGROUND AND OBJECTIVES Vascular stents are scaffolding structures implanted in the vessels of patients with obstructive disease. Stents are typically designed as cylindrical lattice structures characterized by the periodic repetition of unit cells. Their design, including geometry and material characteristics, influences their mechanical performance and, consequently, the clinical outcomes. Computational optimization frameworks have proven to be effective in assisting the design phase of vascular stents, facilitating the achievement of enhanced mechanical performances. However, the reliance on time-consuming simulations and the challenge of automating the design process limit the number of design evaluations and reduce optimization efficiency. In this context, a rapid and automated method for the mechanical characterization of vascular stents is presented, taking the stent geometry, conceived as the periodic repetition of a unit cell, and material as input and providing the mechanical response of the stent as output. METHODS Vascular stents were assumed to be thin-walled hollow cylinders sharing the same macroscopic geometrical characteristics as the cylindrical lattice structure but composed of an anisotropic homogenized material. Homogenization theory was applied to average the microscopic inhomogeneities at the stent unit cell level into a homogenized material at the macro-scale, enabling the calculation of the associated homogenized material tensor. Analytical formulations were derived to relate the stent mechanical behavior to the homogenized stiffness tensor, considering linear elastic theory for thin-walled hollow cylinders and three loading scenarios of relevance for vascular stents: radial crimping; axial traction; torsion. Validation was conducted by comparing the derived analytical formulations with results obtained from finite element analyses on typical stent designs. RESULTS Homogenized stiffness tensors were computed for the unit cells of three stent designs, revealing insights into their mechanical performance, including whether they exhibit auxetic behavior. The derived analytical formulations were successfully validated with finite element analyses, yielding low relative differences in the computed values of foreshortening, radial, axial and torsional stiffnesses for all three stents. CONCLUSIONS The proposed method offers a rapid, fully automated procedure that facilitates the assessment of the mechanical behavior of vascular stents and is suitable for effective integration into computational optimization frameworks.
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Affiliation(s)
- Dario Carbonaro
- Department of Mechanical and Aerospace Engineering, Polito(BIO)Med Lab, Politecnico di Torino, Corso Duca degli Abruzzi, 24, Torino, Turin 10129, Italy
| | - Nicola Ferro
- MOX, Department of Mathematics, Politecnico di Milano, Milano, Italy
| | - Francesco Mezzadri
- Department of Engineering "Enzo Ferrari", University of Modena and Reggio Emilia, Modena, Italy
| | - Diego Gallo
- Department of Mechanical and Aerospace Engineering, Polito(BIO)Med Lab, Politecnico di Torino, Corso Duca degli Abruzzi, 24, Torino, Turin 10129, Italy
| | - Alberto L Audenino
- Department of Mechanical and Aerospace Engineering, Polito(BIO)Med Lab, Politecnico di Torino, Corso Duca degli Abruzzi, 24, Torino, Turin 10129, Italy
| | - Simona Perotto
- MOX, Department of Mathematics, Politecnico di Milano, Milano, Italy
| | - Umberto Morbiducci
- Department of Mechanical and Aerospace Engineering, Polito(BIO)Med Lab, Politecnico di Torino, Corso Duca degli Abruzzi, 24, Torino, Turin 10129, Italy
| | - Claudio Chiastra
- Department of Mechanical and Aerospace Engineering, Polito(BIO)Med Lab, Politecnico di Torino, Corso Duca degli Abruzzi, 24, Torino, Turin 10129, Italy.
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3
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Vanaei S, Hashemi M, Solouk A, Asghari Ilani M, Amili O, Hefzy MS, Tang Y, Elahinia M. Manufacturing, Processing, and Characterization of Self-Expanding Metallic Stents: A Comprehensive Review. Bioengineering (Basel) 2024; 11:983. [PMID: 39451359 PMCID: PMC11505524 DOI: 10.3390/bioengineering11100983] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/01/2024] [Revised: 08/31/2024] [Accepted: 09/03/2024] [Indexed: 10/26/2024] Open
Abstract
This paper aims to review the State of the Art in metal self-expanding stents made from nitinol (NiTi), showing shape memory and superelastic behaviors, to identify the challenges and the opportunities for improving patient outcomes. A significant contribution of this paper is its extensive coverage of multidisciplinary aspects, including design, simulation, materials development, manufacturing, bio/hemocompatibility, biomechanics, biomimicry, patency, and testing methodologies. Additionally, the paper offers in-depth insights into the latest practices and emerging trends, with a special emphasis on the transformative potential of additive manufacturing techniques in the development of metal stents. By consolidating existing knowledge and highlighting areas for future innovation, this review provides a valuable roadmap for advancing nitinol stents.
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Affiliation(s)
- Saeedeh Vanaei
- Mechanical Industrial and Manufacturing Engineering Department, University of Toledo, Toledo, OH 43606, USA; (O.A.); (M.S.H.); (M.E.)
| | - Mahdi Hashemi
- Department of Materials and Metallurgical Engineering, Amirkabir University of Technology, Tehran 1591634311, Iran;
| | - Atefeh Solouk
- Biomedical Engineering Department, Amirkabir University of Technology (Tehran Polytechnic), Tehran 1591634311, Iran;
| | - Mohsen Asghari Ilani
- School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran 1439957131, Iran;
| | - Omid Amili
- Mechanical Industrial and Manufacturing Engineering Department, University of Toledo, Toledo, OH 43606, USA; (O.A.); (M.S.H.); (M.E.)
| | - Mohamed Samir Hefzy
- Mechanical Industrial and Manufacturing Engineering Department, University of Toledo, Toledo, OH 43606, USA; (O.A.); (M.S.H.); (M.E.)
| | - Yuan Tang
- Department of Bioengineering, University of Toledo, Toledo, OH 43606, USA;
| | - Mohammad Elahinia
- Mechanical Industrial and Manufacturing Engineering Department, University of Toledo, Toledo, OH 43606, USA; (O.A.); (M.S.H.); (M.E.)
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4
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Psarras S, Skafidas AN, Kostopoulos V. In Silico Investigation of the Interlaminar and Mechanical Fracture of Arteries with Atheromatic Plaque during Angioplasty Treatment. Biomedicines 2024; 12:2105. [PMID: 39335617 PMCID: PMC11429184 DOI: 10.3390/biomedicines12092105] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/02/2024] [Revised: 09/02/2024] [Accepted: 09/11/2024] [Indexed: 09/30/2024] Open
Abstract
The reduction in the inner diameter of the artery due to the creation of atheromatic plaque on the artery lumen, known as artery stenosis, disrupts the blood flow, leading to medical complications, which can be fatal. The angioplasty procedure aims to reopen the artery and uses a stent to keep it open. In this study, an effort is made to determine the point of the stent, the plaque and the artery during the expansion phase of the angioplasty using the in silico Finite Element Analysis method. A literature-based design was chosen for the stent geometry, whereas simplified shapes of the balloon and the two artery layers were used. Additionally, two plaque designs were the benchmark for the eight distinct artery stenosis models within the Abaqus environment. In the context of stent angioplasty simulations, failure patterns were investigated. An inverse relationship was observed between artery stenosis and pressure at the artery failure point, while an increased danger of interlaminar failure was detected in models with larger artery stenosis. This study verifies the necessity for the inclusion of interlaminar failure in future angioplasty research.
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Affiliation(s)
- Spyridon Psarras
- Department of Mechanical Engineering and Aeronautics, University of Patras, 26504 Patras, Greece
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5
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Ayechu-Abendaño A, Pérez-Jiménez A, Sánchez-Matás C, López-Villalobos JL, Díaz-Jiménez C, Fernández-Parra R, Malvè M. Computational Analysis of Polymeric Biodegradable and Customizable Airway Stent Designs. Polymers (Basel) 2024; 16:1691. [PMID: 38932041 PMCID: PMC11207808 DOI: 10.3390/polym16121691] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/11/2024] [Revised: 06/05/2024] [Accepted: 06/11/2024] [Indexed: 06/28/2024] Open
Abstract
The placement of endotracheal prostheses is a procedure used to treat tracheal lesions when no other surgical options are available. Unfortunately, this technique remains controversial. Both silicon and metallic stents are used with unpredictable success rates, as they have advantages but also disadvantages. Typical side effects include restenosis due to epithelial hyperplasia, obstruction and granuloma formation. Repeat interventions are often required. Biodegradable stents are promising in the field of cardiovascular biomechanics but are not yet approved for use in the respiratory system. The aim of the present study is to summarize important information and to evaluate the role of different geometrical features for the fabrication of a new tracheo-bronchial prosthesis prototype, which should be biodegradable, adaptable to the patient's lesion and producible by 3D printing. A parametric design and subsequent computational analysis using the finite element method is carried out. Two different stent designs are parameterized and analyzed. The biodegradable material chosen for simulations is polylactic acid. Experimental tests are conducted for assessing its mechanical properties. The role of the key design parameters on the radial force of the biodegradable prosthesis is investigated. The computational results allow us to elucidate the role of the pitch angle, the wire thickness and the number of cells or units, among other parameters, on the radial force. This work may be useful for the design of ad hoc airway stents according to the patient and type of lesion.
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Affiliation(s)
- Ada Ayechu-Abendaño
- Department of Engineering, Public University of Navarra (UPNA), Campus Arrosadía, s/n, E-31006 Pamplona, Spain; (A.A.-A.); (A.P.-J.)
| | - Aurora Pérez-Jiménez
- Department of Engineering, Public University of Navarra (UPNA), Campus Arrosadía, s/n, E-31006 Pamplona, Spain; (A.A.-A.); (A.P.-J.)
- AIN—Asociación de la Industria Navarra, Ctra. Pamplona, 1. Edif. AIN, E-31191 Cordovilla, Spain;
| | - Carmen Sánchez-Matás
- Department of Thoracic Surgery, University Hospital Virgen de la Arrixaca, Ctra. Madrid-Cartagena, s/n, E-30120 El Palmar, Spain;
| | - José Luis López-Villalobos
- Department of Thoracic Surgery, University Hospital Virgen del Rocío, Avenida Manuel Siurot, s/n, E-41013 Sevilla, Spain;
| | - Cristina Díaz-Jiménez
- AIN—Asociación de la Industria Navarra, Ctra. Pamplona, 1. Edif. AIN, E-31191 Cordovilla, Spain;
| | - Rocío Fernández-Parra
- Department of Small Animal Medicine and Surgery, Faculty of Veterinary Medicine, Catholic University of Valencia San Vicente Mártir, E-46001 Valencia, Spain;
| | - Mauro Malvè
- Department of Engineering, Public University of Navarra (UPNA), Campus Arrosadía, s/n, E-31006 Pamplona, Spain; (A.A.-A.); (A.P.-J.)
- Research Networking in Bioengineering, Biomaterials & Nanomedicine (CIBER-BBN), Av. Monforte de Lemos, 3-5, Pabellón 11, Planta 0, E-28029 Madrid, Spain
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Forkmann C, Pritsch M, Baumann-Zumstein P, Lootz D, Joner M. In vivo chronic scaffolding force of a resorbable magnesium scaffold. J Biomech 2024; 164:111988. [PMID: 38364489 DOI: 10.1016/j.jbiomech.2024.111988] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/19/2023] [Revised: 01/31/2024] [Accepted: 02/05/2024] [Indexed: 02/18/2024]
Abstract
The aim of this study is to qualitatively characterize the in vivo chronic scaffolding force of the Magmaris® Resorbable Magnesium Scaffold (RMS). This important parameter of scaffolds must be balanced between sufficient radial support during the healing period of the vessel and avoidance of long-term vessel caging. A finite element model was established using preclinical animal data and used to predict the device diameter and scaffolding force up to 90 days after implantation. To account for scaffold resorption, it included backbone degradation as well as formation of discontinuities as observed in vivo. The predictions of the model regarding acute recoil and chronic development of the device diameter were in good agreement with the preclinical data, supporting the validity of the model. It was found that after 28 and 90 days, the Magmaris® RMS retained 90 % and 47 % of its initial scaffolding force, respectively. The reduction in scaffolding force was mainly driven by discontinuities in the meandering segments. Finite element analysis combined with preclinical data is a reliable method to characterize the chronic scaffolding force.
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Affiliation(s)
| | | | | | - Daniel Lootz
- Biotronik AG, Ackerstraße 6, 8180 Bülach, Switzerland.
| | - Michael Joner
- German Heart Center Munich, Lazarettstraße 36, 80636 München, Germany.
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7
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Liu D, Yang K, Chen S. Development and Future Trends of Protective Strategies for Magnesium Alloy Vascular Stents. MATERIALS (BASEL, SWITZERLAND) 2023; 17:68. [PMID: 38203922 PMCID: PMC10779993 DOI: 10.3390/ma17010068] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/21/2023] [Revised: 12/09/2023] [Accepted: 12/20/2023] [Indexed: 01/12/2024]
Abstract
Magnesium alloy stents have been extensively studied in the field of biodegradable metal stents due to their exceptional biocompatibility, biodegradability and excellent biomechanical properties. Nevertheless, the specific in vivo service environment causes magnesium alloy stents to degrade rapidly and fail to provide sufficient support for a certain time. Compared to previous reviews, this paper focuses on presenting an overview of the development history, the key issues, mechanistic analysis, traditional protection strategies and new directions and protection strategies for magnesium alloy stents. Alloying, optimizing stent design and preparing coatings have improved the corrosion resistance of magnesium alloy stents. Based on the corrosion mechanism of magnesium alloy stents, as well as their deformation during use and environmental characteristics, we present some novel strategies aimed at reducing the degradation rate of magnesium alloys and enhancing the comprehensive performance of magnesium alloy stents. These strategies include adapting coatings for the deformation of the stents, preparing rapid endothelialization coatings to enhance the service environment of the stents, and constructing coatings with self-healing functions. It is hoped that this review can help readers understand the development of magnesium alloy cardiovascular stents and solve the problems related to magnesium alloy stents in clinical applications at the early implantation stage.
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Affiliation(s)
- Dexiao Liu
- Shi-Changxu Innovation Center for Advanced Materials, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China
- School of Materials Science and Engineering, University of Science and Technology of China, Shenyang 110016, China
| | - Ke Yang
- Shi-Changxu Innovation Center for Advanced Materials, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China
| | - Shanshan Chen
- Shi-Changxu Innovation Center for Advanced Materials, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China
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8
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Carbonaro D, Lucchetti A, Audenino AL, Gries T, Vaughan TJ, Chiastra C. Multi-objective design optimization of bioresorbable braided stents. COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE 2023; 242:107781. [PMID: 37683458 DOI: 10.1016/j.cmpb.2023.107781] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/20/2023] [Revised: 08/18/2023] [Accepted: 08/25/2023] [Indexed: 09/10/2023]
Abstract
BACKGROUND AND OBJECTIVES Bioresorbable braided stents, typically made of bioresorbable polymers such as poly-l-lactide (PLLA), have great potential in the treatment of critical limb ischemia, particularly in cases of long-segment occlusions and lesions with high angulation. However, the successful adoption of these devices is limited by their low radial stiffness and reduced elastic modulus of bioresorbable polymers. This study proposes a computational optimization procedure to enhance the mechanical performance of bioresorbable braided stents and consequently improve the treatment of critical limb ischemia. METHODS Finite element analyses were performed to replicate the radial crimping test and investigate the implantation procedure of PLLA braided stents. The stent geometry was characterized by four design parameters: number of wires, wire diameter, initial stent diameter, and braiding angle. Manufacturing constraints were considered to establish the design space. The mechanical performance of the stent was evaluated by defining the radial force, foreshortening, and peak maximum principal stress of the stent as objectives and constraint functions in the optimization problem. An approximate relationship between the objectives, constraint, and the design parameters was defined using design of experiment coupled with surrogate modelling. Surrogate models were then interrogated within the design space, and a multi-objective design optimization was conducted. RESULTS The simulation of radial crimping was successfully validated against experimental data. The radial force was found to be primarily influenced by the number of wires, wire diameter, and braiding angle, with the wire diameter having the most significant impact. Foreshortening was predominantly affected by the braiding angle. The peak maximum principal stress exhibited contrasting behaviour compared to the radial force for all parameters, with the exception of the number of wires. Among the Pareto-optimal design candidates, feasible peak maximum principal stress values were observed, with the braiding angle identified as the differentiating factor among these candidates. CONCLUSIONS The exploration of the design space enabled both the understanding of the impact of design parameters on the mechanical performance of bioresorbable braided stents and the successful identification of optimal design candidates. The optimization framework contributes to the advancement of innovative bioresorbable braided stents for the effective treatment of critical limb ischemia.
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Affiliation(s)
- Dario Carbonaro
- PoliTo(BIO)Med Lab, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Turin, Italy
| | - Agnese Lucchetti
- Institut für Textiltechnik of RWTH Aachen University, Aachen, Germany
| | - Alberto L Audenino
- PoliTo(BIO)Med Lab, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Turin, Italy
| | - Thomas Gries
- Institut für Textiltechnik of RWTH Aachen University, Aachen, Germany
| | - Ted J Vaughan
- Biomechanics Research Centre (BioMEC), School of Engineering, College of Science and Engineering, University of Galway, Ireland
| | - Claudio Chiastra
- PoliTo(BIO)Med Lab, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Turin, Italy.
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Huang YT, Hung FY, Yen CW. Microstructure and fracture toughness of hot-rolling biomedical degradable ZKX500 magnesium bone plates. Micron 2023; 172:103500. [PMID: 37329768 DOI: 10.1016/j.micron.2023.103500] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/13/2023] [Revised: 05/19/2023] [Accepted: 06/12/2023] [Indexed: 06/19/2023]
Abstract
In this study, the microstructure and fracture toughness of ZKX500 magnesium alloy under different processing were investigated. The results show that the as-extruded (FH) consists of coarsen and fine grains with higher residual stress. The fracture toughness and crack propagation are significantly distinct along different directions. By contrast, the rolled specimen (FRH) shows an equiaxed grain structure and precipitation dispersion in the matrix. After hot-rolling and heat treatment, less texture effect affected on the fracture toughness and rupture energy absorption. These renders the higher attractive on the rolled ZKX500 magnesium alloy in the applications of orthopedic bone plates.
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Affiliation(s)
- Ying-Ting Huang
- Department of Materials Science and Engineering, National Cheng Kung University, Tainan 701, Taiwan
| | - Fei-Yi Hung
- Department of Materials Science and Engineering, National Cheng Kung University, Tainan 701, Taiwan.
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10
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Kovacevic S, Ali W, Martínez-Pañeda E, LLorca J. Phase-field modeling of pitting and mechanically-assisted corrosion of Mg alloys for biomedical applications. Acta Biomater 2023; 164:641-658. [PMID: 37068554 DOI: 10.1016/j.actbio.2023.04.011] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/24/2022] [Revised: 03/21/2023] [Accepted: 04/07/2023] [Indexed: 04/19/2023]
Abstract
A phase-field model is developed to simulate the corrosion of Mg alloys in body fluids. The model incorporates both Mg dissolution and the transport of Mg ions in solution, naturally predicting the transition from activation-controlled to diffusion-controlled bio-corrosion. In addition to uniform corrosion, the presented framework captures pitting corrosion and accounts for the synergistic effect of aggressive environments and mechanical loading in accelerating corrosion kinetics. The model applies to arbitrary 2D and 3D geometries with no special treatment for the evolution of the corrosion front, which is described using a diffuse interface approach. Experiments are conducted to validate the model and a good agreement is attained against in vitro measurements on Mg wires. The potential of the model to capture mechano-chemical effects during corrosion is demonstrated in case studies considering Mg wires in tension and bioabsorbable coronary Mg stents subjected to mechanical loading. The proposed methodology can be used to assess the in vitro and in vivo service life of Mg-based biomedical devices and optimize the design taking into account the effect of mechanical deformation on the corrosion rate. The model has the potential to advocate further development of Mg alloys as a biodegradable implant material for biomedical applications. STATEMENT OF SIGNIFICANCE: A physically-based model is developed to simulate the corrosion of bioabsorbable metals in environments that resemble biological fluids. The model captures pitting corrosion and incorporates the role of mechanical fields in enhancing the corrosion of bioabsorbable metals. Model predictions are validated against dedicated in vitro corrosion experiments on Mg wires. The potential of the model to capture mechano-chemical effects is demonstrated in representative examples. The simulations show that the presence of mechanical fields leads to the formation of cracks accelerating the failure of Mg wires, whereas pitting severely compromises the structural integrity of coronary Mg stents. This work extends phase-field modeling to bioengineering and provides a mechanistic tool for assessing the service life of bioabsorbable metallic biomedical devices.
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Affiliation(s)
- Sasa Kovacevic
- Department of Civil and Environmental Engineering, Imperial College London, London SW7 2AZ, UK.
| | - Wahaaj Ali
- IMDEA Materials Institute, C/Eric Kandel 2, Getafe 28906, Madrid, Spain; Department of Material Science and Engineering, Universidad Carlos III de Madrid, Leganes 28911, Madrid, Spain
| | - Emilio Martínez-Pañeda
- Department of Civil and Environmental Engineering, Imperial College London, London SW7 2AZ, UK.
| | - Javier LLorca
- IMDEA Materials Institute, C/Eric Kandel 2, Getafe 28906, Madrid, Spain; Department of Materials Science, Polytechnic University of Madrid, E. T. S. de Ingenieros de Caminos, 28040 Madrid, Spain.
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11
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Lin LH, Ho KL, Jian YM, Chiang KH, Hsiao HM. Effects of Tapered-Strut Design on Fatigue Life Enhancement of Peripheral Stents. Bioengineering (Basel) 2023; 10:bioengineering10040443. [PMID: 37106630 PMCID: PMC10136194 DOI: 10.3390/bioengineering10040443] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/21/2023] [Revised: 03/20/2023] [Accepted: 03/29/2023] [Indexed: 04/05/2023] Open
Abstract
Peripheral stent could fracture from cyclic loadings as a result of our blood pressures or daily activities. Fatigue performance has therefore become a key issue for peripheral stent design. A simple yet powerful tapered-strut design concept for fatigue life enhancement was investigated. This concept is to move the stress concentration away from the crown and re-distribute the stresses along the strut by narrowing the strut geometry. Finite element analysis was performed to evaluate the stent fatigue performance under various conditions consistent with the current clinical practice. Thirty stent prototypes were manufactured in-house by laser with a series of post-laser treatments, followed by the validation of bench fatigue tests for proof of concept. FEA simulation results show that the fatigue safety factor of the 40% tapered-strut design increased by 4.2 times that of a standard counterpart, which was validated by bench tests with 6.6-times and 5.9-times fatigue enhancement at room temperature and body temperature, respectively. Bench fatigue test results agreed very well with the increasing trend predicted by FEA simulation. The effects of the tapered-strut design were significant and could be considered as an option for fatigue optimization of future stent designs.
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Affiliation(s)
- Li-Han Lin
- Department of Mechanical Engineering, National Taiwan University, Taipei City 106, Taiwan
| | - Kuang-Lei Ho
- Department of Mechanical Engineering, National Taiwan University, Taipei City 106, Taiwan
| | - Yu-Min Jian
- Department of Mechanical Engineering, National Taiwan University, Taipei City 106, Taiwan
| | - Kuang-Hsing Chiang
- Division of Cardiology and Cardiovascular Research Center, Department of Internal Medicine, Taipei Medical University Hospital, Taipei City 110, Taiwan
| | - Hao-Ming Hsiao
- Department of Mechanical Engineering, National Taiwan University, Taipei City 106, Taiwan
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12
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van Gaalen K, Quinn C, Benn F, McHugh PE, Kopp A, Vaughan TJ. Linking the effect of localised pitting corrosion with mechanical integrity of a rare earth magnesium alloy for implant use. Bioact Mater 2023; 21:32-43. [PMID: 36017069 PMCID: PMC9396051 DOI: 10.1016/j.bioactmat.2022.08.004] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/31/2022] [Revised: 07/20/2022] [Accepted: 08/04/2022] [Indexed: 01/05/2023] Open
Abstract
This study presents a computational framework that investigates the effect of localised surface-based corrosion on the mechanical performance of a magnesium-based alloy. A finite element-based phenomenological corrosion model was used to generate a wide range of corrosion profiles, with subsequent uniaxial tensile test simulations to predict the mechanical response to failure. The python-based detection framework PitScan provides detailed quantification of the spatial phenomenological features of corrosion, including a full geometric tracking of corroding surface. Through this approach, this study is the first to quantitatively demonstrate that a surface-based non-uniform corrosion model can capture both the geometrical and mechanical features of a magnesium alloy undergoing corrosion by comparing to experimental data. Using this verified corrosion modelling approach, a wide range of corrosion scenarios was evaluated and enabled quantitative relationships to be established between the mechanical integrity and key phenomenological corrosion features. In particular, we demonstrated that the minimal cross-sectional area parameter was the strongest predictor of the remaining mechanical strength (R2 = 0.98), with this relationship being independent of the severity or spatial features of localised surface corrosion. Interestingly, our analysis demonstrated that parameters described in ASTM G46-94 showed weaker correlations to the mechanical integrity of corroding specimens, compared to parameters determined by Pitscan. This study establishes new mechanistic insight into the performance of the magnesium-based materials undergoing corrosion.
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Affiliation(s)
- Kerstin van Gaalen
- Biomechanics Research Centre (BioMEC), Biomedical Engineering, School of Engineering, National University of Ireland Galway, Galway, Ireland
- Meotec GmbH, Aachen, Germany
| | - Conall Quinn
- Biomechanics Research Centre (BioMEC), Biomedical Engineering, School of Engineering, National University of Ireland Galway, Galway, Ireland
| | - Felix Benn
- Meotec GmbH, Aachen, Germany
- School of Mechanical and Aerospace Engineering, Queen's University Belfast, Belfast, United Kingdom
| | - Peter E. McHugh
- Biomechanics Research Centre (BioMEC), Biomedical Engineering, School of Engineering, National University of Ireland Galway, Galway, Ireland
| | | | - Ted J. Vaughan
- Biomechanics Research Centre (BioMEC), Biomedical Engineering, School of Engineering, National University of Ireland Galway, Galway, Ireland
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Lu YC, Hsu LI, Lin CF, Hsu CP, Chang TK, Cheng CC, Huang CH. Biomechanical characteristics of self-expanding sinus stents during crimping and deployment_A comparison between different biomaterials. J Mech Behav Biomed Mater 2023; 138:105669. [PMID: 36634436 DOI: 10.1016/j.jmbbm.2023.105669] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/08/2022] [Revised: 01/04/2023] [Accepted: 01/05/2023] [Indexed: 01/09/2023]
Abstract
Self-expanding sinus stents are often used in functional endoscopic sinus surgery to treat inflamed sinuses. The PROPEL self-expanding sinus stent offers mechanical support to the sinus cavity to prevent restenosis. The stent is made of a bioabsorbable material (PLGA) that disappears after wound healing. However, complications such as foreign body sensation and severe stent migration/expulsion have been reported after implantation. Little is known about the contact characteristics of self-expanding sinus stents from when the stent is crimped into the insertion device through to deployment into the sinus cavity. This current study developed a test platform to analyze the biomechanical behavior of the stent during this process. Three common bioabsorbable materials, PLGA, PCL and Mg alloy, were evaluated to understand how the choice of material affects the biomechanical characteristics of self-expanding sinus stents. The results showed that the material can have a considerable influence on the contact characteristics during crimping and deployment. When crimped, the PLGA and Mg alloy stents showed much higher plastic strain and contact stress than the PCL stent. When deployed, the PCL stent had the largest contact area (4.3 mm2) and the lowest contact pressure (0.1 MPa) on the inner surface of the sinus canal. The results indicate that PCL could be a suitable choice for self-expanding sinus stents. This current study provides a method for observing the biomechanical characteristics of sinus stents during stent crimping and deployment.
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Affiliation(s)
- Yung-Chang Lu
- Biomechanics Research Laboratory, Department of Medical Research, MacKay Memorial Hospital, Taiwan; Department of Medicine, MacKay Medical College, Taipei, Taiwan
| | - Lin-I Hsu
- Biomechanics Research Laboratory, Department of Medical Research, MacKay Memorial Hospital, Taiwan; Department of Physical Therapy and Assistive Technology, National Yang Ming Chiao Tung University, Taipei, Taiwan
| | - Chih-Feng Lin
- Department of Otolaryngology, National Taiwan University Hospital, Taipei, Taiwan
| | - Chi-Pin Hsu
- High Speed 3D Printing Research Center, National Taiwan University of Science and Technology, Taipei, Taiwan
| | - Ting-Kuo Chang
- Biomechanics Research Laboratory, Department of Medical Research, MacKay Memorial Hospital, Taiwan; Department of Otolaryngology, National Taiwan University Hospital, Taipei, Taiwan
| | - Chung-Chih Cheng
- Medical and Pharmaceutical Industry Technology and Development Center, New Taipei City, Taiwan
| | - Chang-Hung Huang
- Biomechanics Research Laboratory, Department of Medical Research, MacKay Memorial Hospital, Taiwan; Department of Medicine, MacKay Medical College, Taipei, Taiwan; Department of Physical Therapy and Assistive Technology, National Yang Ming Chiao Tung University, Taipei, Taiwan; School of Dentistry, National Yang Ming Chiao Tung University, Taipei, Taiwan.
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14
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A Comparison of Vessel Patch Materials in Tetralogy of Fallot Patients Using Virtual Surgery Techniques. Ann Biomed Eng 2023:10.1007/s10439-023-03144-x. [PMID: 36723833 DOI: 10.1007/s10439-023-03144-x] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/13/2022] [Accepted: 12/25/2022] [Indexed: 02/02/2023]
Abstract
Tetralogy of Fallot (ToF) is characterized by stenosis causing partial obstruction of the right ventricular outflow tract, typically alleviated through the surgical application of a vessel patch made from a biocompatible material. In this study, we use computational simulations to compare the mechanical performance of four patch materials for various stenosis locations. Nine idealized pre-operative ToF geometries were created by imposing symmetrical stenoses on each of three anatomical sub-regions of the pulmonary arteries of three patients with previously repaired ToF. A virtual surgery methodology was implemented to replicate the steps of vessel de-pressurization, surgical patching, and subsequent vessel expansion after reperfusion. Significant differences in patch average stress (p < 0.001) were found between patch materials. Biological patch materials (porcine xenopericardium, human pericardium) exhibited higher patch stresses in comparison to synthetic patch materials (Dacron and PTFE). Observed differences were consistent across the various stenosis locations and were insensitive to patient anatomy.
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15
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Li Y, Wang Y, Shen Z, Miao F, Wang J, Sun Y, Zhu S, Zheng Y, Guan S. A biodegradable magnesium alloy vascular stent structure: Design, optimisation and evaluation. Acta Biomater 2022; 142:402-412. [PMID: 35085798 DOI: 10.1016/j.actbio.2022.01.045] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/22/2021] [Revised: 01/05/2022] [Accepted: 01/18/2022] [Indexed: 02/07/2023]
Abstract
The existing biodegradable magnesium alloy stent (BMgS) structure is prone to problems, such as insufficient support capacity and early fracture at areas of concentrated stress. Herein, a stent structural design, which reduced the cross section of the traditional sin-wave stent by nearly 30% and introduces a regular arc structure in the middle of the support ring. The influence of the dual-parameter design of bending radius (r) and ring length (L) on plastic deformation, expansion and compression resistance performances are discussed. The non-dominated sorting genetic algorithm II (NSGA-II) was used to search for the optimal solution. It was found that the introduction of parameter r effectively improved the plastic deformation and expansion performance, and the reduction of L improved stent compression resistance. Finally, an optimized stent configuration was obtained. In vitro mechanical tests, including balloon inflation, radial strength and flexibility, verified the simulation results. The radial strength for the optimised stent increases by approximately 40% compared with that for the sinusoidal stent. Microarea X-ray diffraction result shows that the circumferential residual stress for the optimised stent decreases by half compared with that for the sinusoidal stent, thus effectively reducing the stress concentration phenomenon. STATEMENT OF SIGNIFICANCE: Despite current progress in BMgS research, the optimal design of the structure is limited. We present a new type of structurally designed stent. The performance of this stent was analysed by a finite element method and experimentally verified. The structural design positively influenced stent performance.
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Affiliation(s)
- Yafei Li
- School of Materials Science and Engineering, Zhengzhou University, Zhengzhou 450001, China
| | - Yan Wang
- School of Materials Science and Engineering, Zhengzhou University, Zhengzhou 450001, China
| | - Zhenquan Shen
- Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, China
| | - Fulong Miao
- School of Materials Science and Engineering, Zhengzhou University, Zhengzhou 450001, China
| | - Jianfeng Wang
- School of Materials Science and Engineering, Zhengzhou University, Zhengzhou 450001, China; Henan Key Laboratory of Advanced Magnesium Alloys, Zhengzhou 450002, China; Key Laboratory of Advanced Materials Processing & Mold Ministry of Education, Zhengzhou 450002, China
| | - Yufeng Sun
- School of Materials Science and Engineering, Zhengzhou University, Zhengzhou 450001, China; Henan Key Laboratory of Advanced Magnesium Alloys, Zhengzhou 450002, China; Key Laboratory of Advanced Materials Processing & Mold Ministry of Education, Zhengzhou 450002, China
| | - Shijie Zhu
- School of Materials Science and Engineering, Zhengzhou University, Zhengzhou 450001, China; Henan Key Laboratory of Advanced Magnesium Alloys, Zhengzhou 450002, China; Key Laboratory of Advanced Materials Processing & Mold Ministry of Education, Zhengzhou 450002, China
| | - Yufeng Zheng
- School of Materials Science and Engineering, College of Engineering, Peking University, Beijing 100871, China
| | - Shaokang Guan
- School of Materials Science and Engineering, Zhengzhou University, Zhengzhou 450001, China; Henan Key Laboratory of Advanced Magnesium Alloys, Zhengzhou 450002, China; Key Laboratory of Advanced Materials Processing & Mold Ministry of Education, Zhengzhou 450002, China.
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16
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Russ JB, Li RL, Herschman AR, Waisman H, Vedula V, Kysar JW, Kalfa D. Design optimization of a cardiovascular stent with application to a balloon expandable prosthetic heart valve. MATERIALS & DESIGN 2021; 209:109977. [PMID: 34366534 PMCID: PMC8336925 DOI: 10.1016/j.matdes.2021.109977] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/13/2023]
Abstract
A cardiovascular stent design optimization method is proposed with application to a pediatric balloon-expandable prosthetic heart valve. The prosthetic valved conduit may be expanded to a larger permanent diameter in vivo via subsequent transcatheter balloon dilation procedures. While multiple expandable prosthetic heart valves are currently at different stages of development, this work is focused on one particular design in which a stent is situated inside of an expandable polymeric valved conduit. Since the valve and conduit must be joined with a robust manufacturing technique, a polymeric glue layer is inserted between the two, which results in radial retraction of the valved region after expansion. Design of an appropriate stent is proposed to counteract this phenomenon and maintain the desired permanent diameter throughout the device after a single non-compliant balloon dilation procedure. The finite element method is used to compute performance metrics related to the permanent expansion diameter and required radial force. Additionally, failure due not only to high cycle fatigue but also due to ductile fracture is incorporated into the design study through the use of an existing ductile fracture criterion for metals. Surrogate models are constructed with the results of the high fidelity simulations and are subsequently used to numerically obtain a set of Pareto-optimal stent designs. Finally, a single design is identified by optimizing a normalized aggregate objective function with equal weighting of all design objectives.
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Affiliation(s)
- Jonathan B. Russ
- Columbia University, Department of Civil Engineering and Engineering Mechanics, New York, NY, USA
| | - Richard L. Li
- Columbia University, Department of Mechanical Engineering, New York, NY, USA
- Division of Cardiac, Thoracic and Vascular Surgery, Section of Pediatric and Congenital Cardiac Surgery, New-York Presbyterian - Morgan Stanley Children’s Hospital, Columbia University Medical Center, New York, NY, USA
| | - Abigail R. Herschman
- Columbia University, Department of Mechanical Engineering, New York, NY, USA
- Division of Cardiac, Thoracic and Vascular Surgery, Section of Pediatric and Congenital Cardiac Surgery, New-York Presbyterian - Morgan Stanley Children’s Hospital, Columbia University Medical Center, New York, NY, USA
| | - Haim Waisman
- Columbia University, Department of Civil Engineering and Engineering Mechanics, New York, NY, USA
| | - Vijay Vedula
- Columbia University, Department of Mechanical Engineering, New York, NY, USA
| | - Jeffrey W. Kysar
- Columbia University, Department of Mechanical Engineering, New York, NY, USA
- Department of Otolaryngology Head and Neck Surgery, Columbia University Medical Center, New York, NY, USA
| | - David Kalfa
- Division of Cardiac, Thoracic and Vascular Surgery, Section of Pediatric and Congenital Cardiac Surgery, New-York Presbyterian - Morgan Stanley Children’s Hospital, Columbia University Medical Center, New York, NY, USA
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Patient-specific computational simulation of coronary artery bifurcation stenting. Sci Rep 2021; 11:16486. [PMID: 34389748 PMCID: PMC8363606 DOI: 10.1038/s41598-021-95026-2] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/10/2020] [Accepted: 07/16/2021] [Indexed: 01/09/2023] Open
Abstract
Patient-specific and lesion-specific computational simulation of bifurcation stenting is an attractive approach to achieve individualized pre-procedural planning that could improve outcomes. The objectives of this work were to describe and validate a novel platform for fully computational patient-specific coronary bifurcation stenting. Our computational stent simulation platform was trained using n = 4 patient-specific bench bifurcation models (n = 17 simulations), and n = 5 clinical bifurcation cases (training group, n = 23 simulations). The platform was blindly tested in n = 5 clinical bifurcation cases (testing group, n = 29 simulations). A variety of stent platforms and stent techniques with 1- or 2-stents was used. Post-stenting imaging with micro-computed tomography (μCT) for bench group and optical coherence tomography (OCT) for clinical groups were used as reference for the training and testing of computational coronary bifurcation stenting. There was a very high agreement for mean lumen diameter (MLD) between stent simulations and post-stenting μCT in bench cases yielding an overall bias of 0.03 (− 0.28 to 0.34) mm. Similarly, there was a high agreement for MLD between stent simulation and OCT in clinical training group [bias 0.08 (− 0.24 to 0.41) mm], and clinical testing group [bias 0.08 (− 0.29 to 0.46) mm]. Quantitatively and qualitatively stent size and shape in computational stenting was in high agreement with clinical cases, yielding an overall bias of < 0.15 mm. Patient-specific computational stenting of coronary bifurcations is a feasible and accurate approach. Future clinical studies are warranted to investigate the ability of computational stenting simulations to guide decision-making in the cardiac catheterization laboratory and improve clinical outcomes.
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Duenas J, Garcia J, Castro F, Munoz J, Sierra-Pallares J. Estimation of degradation velocity of biocompatible damaged stents due to blood flow. IEEE Trans Biomed Eng 2021; 68:3525-3533. [PMID: 33909557 DOI: 10.1109/tbme.2021.3076242] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
OBJECTIVE Bioresorbable materials represent a promising technology for the treatment of coronary disease. Among the different materials employed, magnesium stents display favourable mechanical properties. One of the main uncertainties regarding use is their behaviour when deployed on coronary bifurcations, especially when their retardant coating has been damaged during the implantation process. This paper analyses the temporal evolution of the degradation of a damaged magnesium stent inserted into a coronary bifurcation. METHODS The rate of erosion-corrosion and the effect of the flow configuration on the mass transfer coefficient were estimated on the basis of previous experimental studies and numerical simulations. This coefficient has been employed to reproduce the conditions that can appear in real stent configurations, and computational fluid dynamics simulations were performed. RESULTS The diffusion coefficient for this particular case has been calculated from the mass transfer coefficient and the Sherwood number. The results of the simulation show how the presence of the inner artery wall has a positive effect, preventing a premature degradation of the stent, and how the distal strut is protected by the presence of the proximal struts. CONCLUSIONS This study demonstrates the usefulness of the proposed methodology to evaluate the temporal evolution of the degradation of struts made of magnesium alloys. In addition, this methodology can be applied to a study of different materials and geometric configurations. SIGNIFICANCE The proposed technique can contribute to expanding existing knowledge concerning bioresorbable stent flow-corrosion, thus improving their design and implantation.
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Computational and experimental mechanical performance of a new everolimus-eluting stent purpose-built for left main interventions. Sci Rep 2021; 11:8728. [PMID: 33888765 PMCID: PMC8062511 DOI: 10.1038/s41598-021-87908-2] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/09/2020] [Accepted: 04/06/2021] [Indexed: 12/31/2022] Open
Abstract
Left main (LM) coronary artery bifurcation stenting is a challenging topic due to the distinct anatomy and wall structure of LM. In this work, we investigated computationally and experimentally the mechanical performance of a novel everolimus-eluting stent (SYNERGY MEGATRON) purpose-built for interventions to large proximal coronary segments, including LM. MEGATRON stent has been purposefully designed to sustain its structural integrity at higher expansion diameters and to provide optimal lumen coverage. Four patient-specific LM geometries were 3D reconstructed and stented computationally with finite element analysis in a well-validated computational stent simulation platform under different homogeneous and heterogeneous plaque conditions. Four different everolimus-eluting stent designs (9-peak prototype MEGATRON, 10-peak prototype MEGATRON, 12-peak MEGATRON, and SYNERGY) were deployed computationally in all bifurcation geometries at three different diameters (i.e., 3.5, 4.5, and 5.0 mm). The stent designs were also expanded experimentally from 3.5 to 5.0 mm (blind analysis). Stent morphometric and biomechanical indices were calculated in the computational and experimental studies. In the computational studies the 12-peak MEGATRON exhibited significantly greater expansion, better scaffolding, smaller vessel prolapse, and greater radial strength (expressed as normalized hoop force) than the 9-peak MEGATRON, 10-peak MEGATRON, or SYNERGY (p < 0.05). Larger stent expansion diameters had significantly better radial strength and worse scaffolding than smaller stent diameters (p < 0.001). Computational stenting showed comparable scaffolding and radial strength with experimental stenting. 12-peak MEGATRON exhibited better mechanical performance than the 9-peak MEGATRON, 10-peak MEGATRON, or SYNERGY. Patient-specific computational LM stenting simulations can accurately reproduce experimental stent testing, providing an attractive framework for cost- and time-effective stent research and development.
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20
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PENG KUN, QIAO AIKE, WANG JUNJIE, OHTA MAKOTO, CUI XINYANG, MU YONGLIANG. A NOVEL STRUCTURE DESIGN OF BIODEGRADABLE ZINC ALLOY STENT AND ITS EFFECTS ON RESHAPING STENOTIC VESSEL. J MECH MED BIOL 2020. [DOI: 10.1142/s0219519420500220] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Biodegradable zinc alloy stents offer a prospective solution to mitigate incompatibility between artery and permanent stents. However, biodegradable stents are restricted in clinical therapy mainly because of their insufficient support for opening of stenotic vessel. As an effort to resolve this challenging problem, a novel structure of zinc alloy stent which significantly enhanced scaffold performance is proposed in this paper. Subsequently, the functionality of the new stent on reshaping vessels with 40% of stenosis was investigated in contrast with a common stent via finite element analysis. The simulation results show that radial recoiling ratio and dog-boning ratio of the new stent are decreased by 43.2% and 16.3%, respectively, compared with those of the common stent. A larger and flatter lumen is found in the plaque-vessel system deployed with the new stent. It suggests that the geometry of stent has strong influence on its mechanical performance. With strong scaffold capability and brilliant effect on reshaping stenotic vessel, the biodegradable zinc alloy stent-based novel structure is highly promised to be an alternative choice in interventional surgeries.
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Affiliation(s)
- KUN PENG
- Beijing University of Technology, Beijing 100124, P. R. China
| | - AIKE QIAO
- Beijing University of Technology, Beijing 100124, P. R. China
- College of Life Science and Bioengineering, Beijing University of Technology, No.100, Pingleyuan, Chaoyang District, Beijing 100124, P. R. China
| | - JUNJIE WANG
- Beijing University of Technology, Beijing 100124, P. R. China
| | - MAKOTO OHTA
- Tohoku University, Sendai, Miyagi 980-8577, Japan
| | - XINYANG CUI
- Beijing University of Technology, Beijing 100124, P. R. China
| | - YONGLIANG MU
- Northeastern University, Shenyang, Liaoning 110819, P. R. China
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21
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Ni X, Zhang Y, Pan C. The degradable performance of bile-duct stent based on a continuum damage model: A finite element analysis. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING 2020; 36:e3370. [PMID: 32449607 DOI: 10.1002/cnm.3370] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/06/2019] [Revised: 02/28/2020] [Accepted: 05/16/2020] [Indexed: 06/11/2023]
Abstract
Biomedical magnesium alloy stents have become a hot bed of research focus in interventional therapy for nonvascular diseases. In this study, a numerical model for a balloon-expandable bile duct stent made of magnesium alloy with laser sculpture is developed to predict the effects of the degradation of the stent on the biomechanical behavior in the stent-bile duct coupling system. Based on a continuum damage model, the degradable model of the stent is built to understand its performance in an idealized bile duct as it is subject to corrosion over time. The degradation model developed in this study addresses the uniform corrosion and pitting corrosion. By means of the secondary development function of commercial numerical software ANSYS, the finite element analysis procedures were written to control the degradation process based on the technology of element "birth and death," and it is shown how the three-dimensional model and approach give the possibility of analyzing for the degradation mechanism of a magnesium alloy stent in the bile duct or other nonvascular cavities.
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Affiliation(s)
- Xiaoyu Ni
- School of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing, China
| | - Yanhong Zhang
- School of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing, China
| | - Changwang Pan
- Jiangsu Key Laboratory for Design and Manufacture of Micro/Nano Biomedical Instruments, Micro-Tech (Nanjing) Co., Ltd., Nanjing, China
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22
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Shi W, Li H, Zhu T, Jin Y, Wang H, Yang J, Zhao D. Study on the bending behavior of biodegradable metal cerebral vascular stents using finite element analysis. J Biomech 2020; 108:109856. [PMID: 32635992 DOI: 10.1016/j.jbiomech.2020.109856] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/04/2019] [Revised: 01/01/2020] [Accepted: 05/21/2020] [Indexed: 11/25/2022]
Abstract
Excellent bending behavior is evaluated as the primary factor during the design of biodegradable metal cerebral vascular stents (BMCVSs), which enables vascular stents to be successfully delivered to the targeted location and avoids unnecessary damage to blood vessels. Unfortunately, this bending behavior has been barely investigated which limits the design of BMCVSs with optimal structures. Herein, six BMCVSs were designed and their bending process were simulated using finite element analysis (FEA). Then, the effects of the stent bridge connection type and structure on the bending behavior were systematically analyzed and an universal mathematical model was further established, in which the influence of the structure parameters of the stent bridge on the flexibility of stents was considered. After that, the bending mechanism of the high-stress zone of the bridge was investigated. Finally, the causes and effects of the self-contacting phenomenon as well as the inner-stent protrusion phenomenon in the bending state were analyzed theoretically, and corresponding solutions were proposed to optimize the design of stents. The numerical results show that the stents with the dislocation-line W-shaped unit have better flexibility than the other stents. The flexibility is positively correlated to the cube of the length of linear part and to the square of the curvature of curved part. The self-contacting phenomenon of the bridge during bending can constrain the formation of inner-stent protrusion, which can eliminate the negative effects of the implanted stents on the hemodynamics in blood vessels. This study is expected to provide practical guidance for the structural design of BMCVSs for clinical applications.
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Affiliation(s)
- Weiliang Shi
- Key Laboratory for Precision & Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, Liaoning 116023, China
| | - Hongxia Li
- Key Laboratory for Precision & Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, Liaoning 116023, China
| | - Tingzhun Zhu
- Department of Neurosurgery, The Second Affiliated Hospital of Dalian Medical University, Dalian, Liaoning 116023, China
| | - Yifei Jin
- Department of Mechanical Engineering, University of Nevada Reno, Reno, NV 89557, USA
| | - Hairui Wang
- Key Laboratory for Precision & Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, Liaoning 116023, China
| | - Jianbing Yang
- Key Laboratory for Precision & Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, Liaoning 116023, China
| | - Danyang Zhao
- Key Laboratory for Precision & Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, Liaoning 116023, China.
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Chen C, Chen J, Wu W, Shi Y, Jin L, Petrini L, Shen L, Yuan G, Ding W, Ge J, Edelman ER, Migliavacca F. In vivo and in vitro evaluation of a biodegradable magnesium vascular stent designed by shape optimization strategy. Biomaterials 2019; 221:119414. [PMID: 31419654 PMCID: PMC6732791 DOI: 10.1016/j.biomaterials.2019.119414] [Citation(s) in RCA: 64] [Impact Index Per Article: 10.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/17/2019] [Revised: 07/30/2019] [Accepted: 08/03/2019] [Indexed: 01/25/2023]
Abstract
The performance of biodegradable magnesium alloy stents (BMgS) requires special attention to non-uniform residual stress distribution and stress concentration, which can accelerate localized degradation after implantation. We now report on a novel concept in stent shape optimization using a finite element method (FEM) toolkit. A Mg-Nd-Zn-Zr alloy with uniform degradation behavior served as the basis of our BMgS. Comprehensive in vitro evaluations drove stent optimization, based on observed crimping and balloon inflation performance, measurement of radial strength, and stress condition validation via microarea-XRD. Moreover, a Rapamycin-eluting polymer coating was sprayed on the prototypical BMgS to improve the corrosion resistance and release anti-hyperplasia drugs. In vivo evaluation of the optimized coated BMgS was conducted in the iliac artery of New Zealand white rabbit with quantitative coronary angiography (QCA), optical coherence tomography (OCT) and micro-CT observation at 1, 3, 5-month follow-ups. Neither thrombus or early restenosis was observed, and the coated BMgS supported the vessel effectively prior to degradation and allowed for arterial healing thereafter. The proposed shape optimization framework based on FEM provides an novel concept in stent design and in-depth understanding of how deformation history affects the biomechanical performance of BMgS. Computational analysis tools can indeed promote the development of biodegradable magnesium stents.
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Affiliation(s)
- Chenxin Chen
- National Engineering Research Center of Light Alloy Net Forming & State Key Laboratory of Metal Matrix Composite, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, 200240, China; Laboratory of Biological Structure Mechanics (LaBS), Department of Chemistry, Materials and Chemical Engineering "Giulio Natta", Politecnico di Milano, Piazza Leonardo da Vinci, 32, Milan, 20133, Italy
| | - Jiahui Chen
- Shanghai Institute of Cardiovascular Diseases, Department of Cardiology, Zhongshan Hospital, Fudan University, Shanghai, 200032, China
| | - Wei Wu
- Laboratory of Biological Structure Mechanics (LaBS), Department of Chemistry, Materials and Chemical Engineering "Giulio Natta", Politecnico di Milano, Piazza Leonardo da Vinci, 32, Milan, 20133, Italy; Department of Mechanical Engineering, The University of Texas at San Antonio, One UTSA Circle, San Antonio, TX, 78249-0669, USA
| | - Yongjuan Shi
- National Engineering Research Center of Light Alloy Net Forming & State Key Laboratory of Metal Matrix Composite, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, 200240, China
| | - Liang Jin
- National Engineering Research Center of Light Alloy Net Forming & State Key Laboratory of Metal Matrix Composite, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, 200240, China
| | - Lorenza Petrini
- Department of Civil and Environmental Engineering, Politecnico di Milano, Piazza Leonardo da Vinci, 32, Milan, 20133, Italy
| | - Li Shen
- Shanghai Institute of Cardiovascular Diseases, Department of Cardiology, Zhongshan Hospital, Fudan University, Shanghai, 200032, China
| | - Guangyin Yuan
- National Engineering Research Center of Light Alloy Net Forming & State Key Laboratory of Metal Matrix Composite, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, 200240, China.
| | - Wenjiang Ding
- National Engineering Research Center of Light Alloy Net Forming & State Key Laboratory of Metal Matrix Composite, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, 200240, China
| | - Junbo Ge
- Shanghai Institute of Cardiovascular Diseases, Department of Cardiology, Zhongshan Hospital, Fudan University, Shanghai, 200032, China
| | - Elazer R Edelman
- Institute for Medical Engineering and Science, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA; Cardiovascular Division, Department of Medicine, Brigham and Women's Hospital, Harvard Medical School, Boston, MA, 02115, USA
| | - Francesco Migliavacca
- Laboratory of Biological Structure Mechanics (LaBS), Department of Chemistry, Materials and Chemical Engineering "Giulio Natta", Politecnico di Milano, Piazza Leonardo da Vinci, 32, Milan, 20133, Italy.
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Chen C, Xiong Y, Jiang W, Wang Y, Wang Z, Chen Y. Experimental and Numerical Simulation of Biodegradable Stents with Different Strut Geometries. Cardiovasc Eng Technol 2019; 11:36-46. [DOI: 10.1007/s13239-019-00433-2] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 06/04/2019] [Accepted: 10/09/2019] [Indexed: 10/25/2022]
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Peng K, Cui X, Qiao A, Mu Y. Mechanical analysis of a novel biodegradable zinc alloy stent based on a degradation model. Biomed Eng Online 2019; 18:39. [PMID: 30940146 PMCID: PMC6444843 DOI: 10.1186/s12938-019-0661-2] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/11/2019] [Accepted: 03/26/2019] [Indexed: 11/10/2022] Open
Abstract
BACKGROUND Biodegradable stents display insufficient scaffold performance due to their poor Young's Modulus. In addition, the corresponding biodegradable materials harbor weakened structures during degradation processes. Consequently, such stents have not been extensively applied in clinical therapy. In this study, the scaffold performance of a patented stent and its ability to reshape damaged vessels during degradation process were evaluated. METHODS A common stent was chosen as a control to assess the mechanical behavior of the patented stent. Finite element analysis was used to simulate stent deployment into a 40% stenotic vessel. A material corrosion model involving uniform and stress corrosion was implemented within the finite element framework to update the stress state following degradation. RESULTS The results showed that radial recoiling ratio and mass loss ratio of the patented stent is 7.19% and 3.1%, respectively, which are definitely lower than those of the common stent with the corresponding values of 22.6% and 14.1%, respectively. Moreover, the patented stent displayed stronger scaffold performance in a corrosive environment and the plaque treated with patented stents had a larger and flatter lumen. CONCLUSION Owing to its improved mechanical performance, the novel biodegradable zinc alloy stent reported here has high potential as an alternative choice in surgery.
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Affiliation(s)
- Kun Peng
- College of Life Science and Bioengineering, Beijing University of Technology, No.100, Pingleyuan, Chaoyang District, Beijing, 100124 China
| | - Xinyang Cui
- College of Life Science and Bioengineering, Beijing University of Technology, No.100, Pingleyuan, Chaoyang District, Beijing, 100124 China
| | - Aike Qiao
- College of Life Science and Bioengineering, Beijing University of Technology, No.100, Pingleyuan, Chaoyang District, Beijing, 100124 China
| | - Yongliang Mu
- Northeastern University, Shenyang, 110819 Liaoning China
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Riaz U, Shabib I, Haider W. The current trends of Mg alloys in biomedical applications-A review. J Biomed Mater Res B Appl Biomater 2018; 107:1970-1996. [PMID: 30536973 DOI: 10.1002/jbm.b.34290] [Citation(s) in RCA: 40] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/25/2018] [Revised: 11/10/2018] [Accepted: 11/15/2018] [Indexed: 01/25/2023]
Abstract
Magnesium (Mg) has emerged as an ideal alternative to the permanent implant materials owing to its enhanced properties such as biodegradation, better mechanical strengths than polymeric biodegradable materials and biocompatibility. It has been under investigation as an implant material both in cardiovascular and orthopedic applications. The use of Mg as an implant material reduces the risk of long-term incompatible interaction of implant with tissues and eliminates the second surgical procedure to remove the implant, thus minimizes the complications. The hurdle in the extensive use of Mg implants is its fast degradation rate, which consequently reduces the mechanical strength to support the implant site. Alloy development, surface treatment, and design modification of implants are the routes that can lead to the improved corrosion resistance of Mg implants and extensive research is going on in all three directions. In this review, the recent trends in the alloying and surface treatment of Mg have been discussed in detail. Additionally, the recent progress in the use of computational models to analyze Mg bioimplants has been given special consideration. © 2018 Wiley Periodicals, Inc. J Biomed Mater Res Part B: Appl Biomater 107B: 1970-1996, 2019.
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Affiliation(s)
- Usman Riaz
- School of Engineering and Technology, Central Michigan University, Mount Pleasant, Michigan, 48859
| | - Ishraq Shabib
- School of Engineering and Technology, Central Michigan University, Mount Pleasant, Michigan, 48859.,Science of Advanced Materials, Central Michigan University, Mount Pleasant, Michigan, 48859
| | - Waseem Haider
- School of Engineering and Technology, Central Michigan University, Mount Pleasant, Michigan, 48859.,Science of Advanced Materials, Central Michigan University, Mount Pleasant, Michigan, 48859
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Improvement of Mechanical Performance of Bioresorbable Magnesium Alloy Coronary Artery Stents through Stent Pattern Redesign. APPLIED SCIENCES-BASEL 2018. [DOI: 10.3390/app8122461] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
Optimized stent pattern design can effectively enhance the mechanical performance of magnesium alloy stents by adjusting strain distribution and evolution during stent deformation, thereby overcoming the limitations imposed by the intrinsic mechanical properties of magnesium alloys. In the present study, a new stent design pattern for magnesium alloys was proposed and compared to two existing stent design patterns. Measures of the mechanical performance of these three stents, including crimping and expanding deformability, radial scaffolding capacity, radial recoil and bending flexibility, were determined. Three-dimensional finite element (FE) models were built to predict the mechanical performance of the stents with the three design patterns and to assist in understanding the experimental results. The results showed that, overall, the stent with the new design pattern was superior to the stents based on the existing designs, though the expanding capacity of the newly designed stent still needed to be improved.
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Biodegradable stents for coronary artery disease treatment: Recent advances and future perspectives. MATERIALS SCIENCE & ENGINEERING. C, MATERIALS FOR BIOLOGICAL APPLICATIONS 2018; 91:163-178. [DOI: 10.1016/j.msec.2018.04.100] [Citation(s) in RCA: 84] [Impact Index Per Article: 12.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/23/2017] [Revised: 04/11/2018] [Accepted: 04/28/2018] [Indexed: 12/24/2022]
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Chen C, Tan J, Wu W, Petrini L, Zhang L, Shi Y, Cattarinuzzi E, Pei J, Huang H, Ding W, Yuan G, Migliavacca F. Modeling and Experimental Studies of Coating Delamination of Biodegradable Magnesium Alloy Cardiovascular Stents. ACS Biomater Sci Eng 2018; 4:3864-3873. [DOI: 10.1021/acsbiomaterials.8b00700] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023]
Affiliation(s)
- Chenxin Chen
- National Engineering Research Center of Light Alloy Net Forming & State Key Laboratory of Metal Matrix Composite, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, China, 200240
| | - Jinyun Tan
- Department of Vascular Surgery, Huashan Hospital of Fudan University, No. 12 Mid-Wulumuqi Road, Shanghai 200040, China
| | - Wei Wu
- Department of Mechanical Engineering, The University of Texas at San Antonio, One UTSA Circle, San Antonio, Texas 78249-0669, United States
| | | | - Lei Zhang
- National Engineering Research Center of Light Alloy Net Forming & State Key Laboratory of Metal Matrix Composite, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, China, 200240
| | - Yongjuan Shi
- National Engineering Research Center of Light Alloy Net Forming & State Key Laboratory of Metal Matrix Composite, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, China, 200240
| | | | - Jia Pei
- National Engineering Research Center of Light Alloy Net Forming & State Key Laboratory of Metal Matrix Composite, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, China, 200240
| | - Hua Huang
- National Engineering Research Center of Light Alloy Net Forming & State Key Laboratory of Metal Matrix Composite, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, China, 200240
| | - Wenjiang Ding
- National Engineering Research Center of Light Alloy Net Forming & State Key Laboratory of Metal Matrix Composite, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, China, 200240
| | - Guangyin Yuan
- National Engineering Research Center of Light Alloy Net Forming & State Key Laboratory of Metal Matrix Composite, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, China, 200240
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Howe C, Mishra S, Kim YS, Chen Y, Ye SH, Wagner WR, Jeong JW, Byun HS, Kim JH, Chun Y, Yeo WH. Stretchable, Implantable, Nanostructured Flow-Diverter System for Quantification of Intra-aneurysmal Hemodynamics. ACS NANO 2018; 12:8706-8716. [PMID: 30021063 DOI: 10.1021/acsnano.8b04689] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
Random weakening of an intracranial blood vessel results in abnormal blood flow into an aneurysmal sac. Recent advancements show that an implantable flow diverter, integrated with a medical stent, enables a highly effective treatment of cerebral aneurysms by guiding blood flow into the normal vessel path. None of such treatment systems, however, offers post-treatment monitoring to assess the progress of sac occlusion. Therefore, physicians rely heavily on either angiography or magnetic resonance imaging. Both methods require a dedicated facility with sophisticated equipment settings and time-consuming, cumbersome procedures. In this paper, we introduce an implantable, stretchable, nanostructured flow-sensor system for quantification of intra-aneurysmal hemodynamics. The open-mesh membrane device is capable of effective implantation in complex neurovascular vessels with extreme stretchability (500% radial stretching) and bendability (180° with 0.75 mm radius of curvature) for monitoring of the treatment progress. A collection of quantitative mechanics, fluid dynamics, and experimental studies establish the fundamental aspects of design criteria for a highly compliant, implantable device. Hemocompatibility study using fresh ovine blood captures the device feasibility for long-term insertion in a blood vessel, showing less platelet deposition compared to that in existing implantable materials. In vitro demonstrations of three types of flow sensors show quantification of intra-aneurysmal blood flow in a pig aorta and the capability of observation of aneurysm treatment with a great sensitivity (detection limit as small as 0.032 m/s). Overall, this work describes a mechanically soft flow-diverter system that offers an effective treatment of aneurysms with an active monitoring of intra-aneurysmal hemodynamics.
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Affiliation(s)
- Connor Howe
- Department of Mechanical and Nuclear Engineering, Institute for Engineering and Medicine, Center for Rehabilitation Science and Engineering , Virginia Commonwealth University , Richmond , Virginia 23284 , United States
| | - Saswat Mishra
- George W. Woodruff School of Mechanical Engineering, College of Engineering , Georgia Institute of Technology , Atlanta , Georgia 30332 , United States
| | - Yun-Soung Kim
- George W. Woodruff School of Mechanical Engineering, College of Engineering , Georgia Institute of Technology , Atlanta , Georgia 30332 , United States
| | - Yanfei Chen
- Department of Industrial Engineering , University of Pittsburgh , Pittsburgh , Pennsylvania 15261 , United States
| | - Sang-Ho Ye
- Department of Bioengineering , University of Pittsburgh , Pittsburgh , Pennsylvania 15261 , United States
| | - William R Wagner
- Department of Bioengineering , University of Pittsburgh , Pittsburgh , Pennsylvania 15261 , United States
| | - Jae-Woong Jeong
- School of Electrical Engineering , Korea Advanced Institute of Science and Technology , Daejeon , Republic of Korea 34141
| | - Hun-Soo Byun
- Department of Chemical and Biomolecular Engineering , Chonnam National University , Yeosu , Jeonnam 59626 , South Korea
| | - Jong-Hoon Kim
- School of Engineering and Computer Science , Washington State University , Vancouver , Washington 98686 , United States
| | - Youngjae Chun
- Department of Industrial Engineering , University of Pittsburgh , Pittsburgh , Pennsylvania 15261 , United States
- Department of Bioengineering , University of Pittsburgh , Pittsburgh , Pennsylvania 15261 , United States
| | - Woon-Hong Yeo
- Department of Mechanical and Nuclear Engineering, Institute for Engineering and Medicine, Center for Rehabilitation Science and Engineering , Virginia Commonwealth University , Richmond , Virginia 23284 , United States
- George W. Woodruff School of Mechanical Engineering, College of Engineering , Georgia Institute of Technology , Atlanta , Georgia 30332 , United States
- Institute for Electronics and Nanotechnology, Bioengineering Interdisciplinary Program, Petit Institute for Bioengineering & Bioscience, and Center for Flexible Electronics , Georgia Institute of Technology , Atlanta , Georgia 30332 , United States
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Gao Y, Wang L, Gu X, Chu Z, Guo M, Fan Y. A quantitative study on magnesium alloy stent biodegradation. J Biomech 2018; 74:98-105. [DOI: 10.1016/j.jbiomech.2018.04.027] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/10/2017] [Revised: 03/14/2018] [Accepted: 04/14/2018] [Indexed: 11/26/2022]
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Bahreinizad H, Salimi Bani M, Khosravi A, Karimi A. A numerical study on the application of the functionally graded bioabsorbable materials in the stent design. Artery Res 2018. [DOI: 10.1016/j.artres.2018.09.001] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022] Open
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Alaimo G, Auricchio F, Conti M, Zingales M. Multi-objective optimization of nitinol stent design. Med Eng Phys 2017; 47:13-24. [DOI: 10.1016/j.medengphy.2017.06.026] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/16/2017] [Revised: 06/06/2017] [Accepted: 06/14/2017] [Indexed: 11/27/2022]
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35
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A strain-mediated corrosion model for bioabsorbable metallic stents. Acta Biomater 2017; 55:505-517. [PMID: 28433790 DOI: 10.1016/j.actbio.2017.04.020] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/19/2017] [Revised: 03/28/2017] [Accepted: 04/18/2017] [Indexed: 11/24/2022]
Abstract
This paper presents a strain-mediated phenomenological corrosion model, based on the discrete finite element modelling method which was developed for use with the ANSYS Implicit finite element code. The corrosion model was calibrated from experimental data and used to simulate the corrosion performance of a WE43 magnesium alloy stent. The model was found to be capable of predicting the experimentally observed plastic strain-mediated mass loss profile. The non-linear plastic strain model, extrapolated from the experimental data, was also found to adequately capture the corrosion-induced reduction in the radial stiffness of the stent over time. The model developed will help direct future design efforts towards the minimisation of plastic strain during device manufacture, deployment and in-service, in order to reduce corrosion rates and prolong the mechanical integrity of magnesium devices. STATEMENT OF SIGNIFICANCE The need for corrosion models that explore the interaction of strain with corrosion damage has been recognised as one of the current challenges in degradable material modelling (Gastaldi et al., 2011). A finite element based plastic strain-mediated phenomenological corrosion model was developed in this work and was calibrated based on the results of the corrosion experiments. It was found to be capable of predicting the experimentally observed plastic strain-mediated mass loss profile and the corrosion-induced reduction in the radial stiffness of the stent over time. To the author's knowledge, the results presented here represent the first experimental calibration of a plastic strain-mediated corrosion model of a corroding magnesium stent.
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36
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Boland EL, Grogan JA, McHugh PE. Computational Modeling of the Mechanical Performance of a Magnesium Stent Undergoing Uniform and Pitting Corrosion in a Remodeling Artery. J Med Device 2017. [DOI: 10.1115/1.4035895] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023] Open
Abstract
Coronary stents made from degradable biomaterials such as magnesium alloy are an emerging technology in the treatment of coronary artery disease. Biodegradable stents provide mechanical support to the artery during the initial scaffolding period after which the artery will have remodeled. The subsequent resorption of the stent biomaterial by the body has potential to reduce the risk associated with long-term placement of these devices, such as in-stent restenosis, late stent thrombosis, and fatigue fracture. Computational modeling such as finite-element analysis has proven to be an extremely useful tool in the continued design and development of these medical devices. What is lacking in computational modeling literature is the representation of the active response of the arterial tissue in the weeks and months following stent implantation, i.e., neointimal remodeling. The phenomenon of neointimal remodeling is particularly interesting and significant in the case of biodegradable stents, when both stent degradation and neointimal remodeling can occur simultaneously, presenting the possibility of a mechanical interaction and transfer of load between the degrading stent and the remodeling artery. In this paper, a computational modeling framework is developed that combines magnesium alloy degradation and neointimal remodeling, which is capable of simulating both uniform (best case) and localized pitting (realistic) stent corrosion in a remodeling artery. The framework is used to evaluate the effects of the neointima on the mechanics of the stent, when the stent is undergoing uniform or pitting corrosion, and to assess the effects of the neointimal formation rate relative to the overall stent degradation rate (for both uniform and pitting conditions).
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Affiliation(s)
- Enda L. Boland
- Biomechanics Research Centre (BMEC), Biomedical Engineering, College of Engineering and Informatics, National University of Ireland Galway, Galway H91 HX31, Ireland e-mail:
| | - James A. Grogan
- Biomechanics Research Centre (BMEC), Biomedical Engineering, College of Engineering and Informatics, National University of Ireland Galway, Galway H91 HX31, Ireland
| | - Peter E. McHugh
- Professor Biomechanics Research Centre (BMEC), Biomedical Engineering, College of Engineering and Informatics, National University of Ireland Galway, Galway H91 HX31, Ireland e-mail:
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37
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Karanasiou GS, Papafaklis MI, Conway C, Michalis LK, Tzafriri R, Edelman ER, Fotiadis DI. Stents: Biomechanics, Biomaterials, and Insights from Computational Modeling. Ann Biomed Eng 2017; 45:853-872. [PMID: 28160103 DOI: 10.1007/s10439-017-1806-8] [Citation(s) in RCA: 40] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/14/2016] [Accepted: 01/28/2017] [Indexed: 01/02/2023]
Abstract
Coronary stents have revolutionized the treatment of coronary artery disease. Improvement in clinical outcomes requires detailed evaluation of the performance of stent biomechanics and the effectiveness as well as safety of biomaterials aiming at optimization of endovascular devices. Stents need to harmonize the hemodynamic environment and promote beneficial vessel healing processes with decreased thrombogenicity. Stent design variables and expansion properties are critical for vessel scaffolding. Drug-elution from stents, can help inhibit in-stent restenosis, but adds further complexity as drug release kinetics and coating formulations can dominate tissue responses. Biodegradable and bioabsorbable stents go one step further providing complete absorption over time governed by corrosion and erosion mechanisms. The advances in computing power and computational methods have enabled the application of numerical simulations and the in silico evaluation of the performance of stent devices made up of complex alloys and bioerodible materials in a range of dimensions and designs and with the capacity to retain and elute bioactive agents. This review presents the current knowledge on stent biomechanics, stent fatigue as well as drug release and mechanisms governing biodegradability focusing on the insights from computational modeling approaches.
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Affiliation(s)
- Georgia S Karanasiou
- Unit of Medical Technology and Intelligent Information Systems, Department of Materials Science, University of Ioannina, University Campus of Ioannina, Ioannina, 45100, Greece
- Foundation for Research and Technology-Hellas (FORTH), Ioannina, Greece
| | - Michail I Papafaklis
- Second Department of Cardiology, Medical School, University of Ioannina, Ioannina, Greece
- Michailideion Cardiac Center, University of Ioannina, Ioannina, Greece
- Institute for Medical Engineering and Science, Massachusetts Institute of Technology, Cambridge, MA, USA
| | - Claire Conway
- Institute for Medical Engineering and Science, Massachusetts Institute of Technology, Cambridge, MA, USA
| | - Lampros K Michalis
- Second Department of Cardiology, Medical School, University of Ioannina, Ioannina, Greece
- Michailideion Cardiac Center, University of Ioannina, Ioannina, Greece
| | - Rami Tzafriri
- Institute for Medical Engineering and Science, Massachusetts Institute of Technology, Cambridge, MA, USA
- CBSET, Lexington, MA, USA
| | - Elazer R Edelman
- Institute for Medical Engineering and Science, Massachusetts Institute of Technology, Cambridge, MA, USA
- Cardiovascular Division, Brigham and Women's Hospital, Harvard Medical School, Boston, MA, USA
| | - Dimitrios I Fotiadis
- Unit of Medical Technology and Intelligent Information Systems, Department of Materials Science, University of Ioannina, University Campus of Ioannina, Ioannina, 45100, Greece.
- Foundation for Research and Technology-Hellas (FORTH), Ioannina, Greece.
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Liu Y, Zhang P. Characterization of compression behaviors of fully covered biodegradable polydioxanone biliary stent for human body: A numerical approach by finite element model. J Mech Behav Biomed Mater 2016; 62:128-138. [DOI: 10.1016/j.jmbbm.2016.04.029] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/21/2016] [Revised: 04/11/2016] [Accepted: 04/12/2016] [Indexed: 10/21/2022]
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39
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A Review of Material Degradation Modelling for the Analysis and Design of Bioabsorbable Stents. Ann Biomed Eng 2015; 44:341-56. [DOI: 10.1007/s10439-015-1413-5] [Citation(s) in RCA: 46] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/15/2015] [Accepted: 07/30/2015] [Indexed: 12/20/2022]
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40
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Design Optimisation of Coronary Artery Stent Systems. Ann Biomed Eng 2015; 44:357-67. [DOI: 10.1007/s10439-015-1373-9] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/22/2015] [Accepted: 06/23/2015] [Indexed: 10/23/2022]
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Bozsak F, Gonzalez-Rodriguez D, Sternberger Z, Belitz P, Bewley T, Chomaz JM, Barakat AI. Optimization of Drug Delivery by Drug-Eluting Stents. PLoS One 2015; 10:e0130182. [PMID: 26083626 PMCID: PMC4470631 DOI: 10.1371/journal.pone.0130182] [Citation(s) in RCA: 46] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/22/2014] [Accepted: 05/18/2015] [Indexed: 01/30/2023] Open
Abstract
Drug-eluting stents (DES), which release anti-proliferative drugs into the arterial wall in a controlled manner, have drastically reduced the rate of in-stent restenosis and revolutionized the treatment of atherosclerosis. However, late stent thrombosis remains a safety concern in DES, mainly due to delayed healing of the endothelial wound inflicted during DES implantation. We present a framework to optimize DES design such that restenosis is inhibited without affecting the endothelial healing process. To this end, we have developed a computational model of fluid flow and drug transport in stented arteries and have used this model to establish a metric for quantifying DES performance. The model takes into account the multi-layered structure of the arterial wall and incorporates a reversible binding model to describe drug interaction with the cells of the arterial wall. The model is coupled to a novel optimization algorithm that allows identification of optimal DES designs. We show that optimizing the period of drug release from DES and the initial drug concentration within the coating has a drastic effect on DES performance. Paclitaxel-eluting stents perform optimally by releasing their drug either very rapidly (within a few hours) or very slowly (over periods of several months up to one year) at concentrations considerably lower than current DES. In contrast, sirolimus-eluting stents perform optimally only when drug release is slow. The results offer explanations for recent trends in the development of DES and demonstrate the potential for large improvements in DES design relative to the current state of commercial devices.
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Affiliation(s)
- Franz Bozsak
- Laboratoire d’Hydrodynamique (LadHyX), École Polytechnique—CNRS, Palaiseau cedex, France
| | | | - Zachary Sternberger
- Laboratoire d’Hydrodynamique (LadHyX), École Polytechnique—CNRS, Palaiseau cedex, France
| | - Paul Belitz
- UCSD Flow Control and Coordinated Robotics Labs Dept of MAE, UC San Diego, La Jolla, CA, USA
| | - Thomas Bewley
- UCSD Flow Control and Coordinated Robotics Labs Dept of MAE, UC San Diego, La Jolla, CA, USA
| | - Jean-Marc Chomaz
- Laboratoire d’Hydrodynamique (LadHyX), École Polytechnique—CNRS, Palaiseau cedex, France
| | - Abdul I. Barakat
- Laboratoire d’Hydrodynamique (LadHyX), École Polytechnique—CNRS, Palaiseau cedex, France
- * E-mail:
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Li J, Tan L, Wan P, Yu X, Yang K. Study on microstructure and properties of extruded Mg–2Nd–0.2Zn alloy as potential biodegradable implant material. MATERIALS SCIENCE & ENGINEERING. C, MATERIALS FOR BIOLOGICAL APPLICATIONS 2015; 49:422-429. [DOI: 10.1016/j.msec.2015.01.029] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/22/2014] [Revised: 11/26/2014] [Accepted: 01/06/2015] [Indexed: 01/27/2023]
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Aghion E, Jan L, Meshi L, Goldman J. Increased corrosion resistance of the AZ80 magnesium alloy by rapid solidification. J Biomed Mater Res B Appl Biomater 2014; 103:1541-8. [PMID: 25491147 DOI: 10.1002/jbm.b.33335] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/20/2014] [Revised: 10/06/2014] [Accepted: 11/04/2014] [Indexed: 12/26/2022]
Abstract
Magnesium (Mg) and Mg-alloys are being considered as implantable biometals. Despite their excellent biocompatibility and good mechanical properties, their rapid corrosion is a major impediment precluding their widespread acceptance as implantable biomaterials. Here, we investigate the potential for rapid solidification to increase the corrosion resistance of Mg alloys. To this end, the effect of rapid solidification on the environmental and stress corrosion behavior of the AZ80 Mg alloy vs. its conventionally cast counterpart was evaluated in simulated physiological electrolytes. The microstructural characteristics were examined by optical microscopy, SEM, TEM, and X-ray diffraction analysis. The corrosion behavior was evaluated by immersion, salt spraying, and potentiodynamic polarization. Stress corrosion resistance was assessed by Slow Strain Rate Testing. The results indicate that the corrosion resistance of rapidly solidified ribbons is significantly improved relative to the conventional cast alloy due to the increased Al content dissolved in the α-Mg matrix and the correspondingly reduced presence of the β-phase (Mg17 Al12 ). Unfortunately, extrusion consolidated solidified ribbons exhibited a substantial reduction in the environmental performance and stress corrosion resistance. This was mainly attributed to the detrimental effect of the extrusion process, which enriched the iron impurities and increased the internal stresses by imposing a higher dislocation density. In terms of immersion tests, the average corrosion rate of the rapidly solidified ribbons was <0.4 mm/year compared with ∼2 mm/year for the conventionally cast alloy and 26 mm/year for the rapidly solidified extruded ribbons.
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Affiliation(s)
- E Aghion
- Department of Materials Engineering, Ben-Gurion University of the Negev, Beer-Sheva, 84105, Israel
| | - L Jan
- Department of Materials Engineering, Ben-Gurion University of the Negev, Beer-Sheva, 84105, Israel
| | - L Meshi
- Department of Materials Engineering, Ben-Gurion University of the Negev, Beer-Sheva, 84105, Israel
| | - J Goldman
- Biomedical Engineering Department, Michigan Technological University, Houghton, Michigan, 49931
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Finite element analyses for optimization design of biodegradable magnesium alloy stent. MATERIALS SCIENCE & ENGINEERING. C, MATERIALS FOR BIOLOGICAL APPLICATIONS 2014; 42:705-14. [DOI: 10.1016/j.msec.2014.05.078] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/25/2014] [Revised: 05/07/2014] [Accepted: 05/13/2014] [Indexed: 11/23/2022]
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45
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Computational micromechanics of bioabsorbable magnesium stents. J Mech Behav Biomed Mater 2014; 34:93-105. [DOI: 10.1016/j.jmbbm.2014.01.007] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/21/2013] [Revised: 01/10/2014] [Accepted: 01/13/2014] [Indexed: 11/22/2022]
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46
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Comparative study of CW, nanosecond- and femtosecond-pulsed laser microcutting of AZ31 magnesium alloy stents. Biointerphases 2014; 9:029004. [DOI: 10.1116/1.4866589] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
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Paryab N, Cronin DS, Lee-Sullivan P. Finite element methods to analyze helical stent expansion. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING 2014; 30:339-352. [PMID: 24123985 DOI: 10.1002/cnm.2605] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/15/2013] [Revised: 08/23/2013] [Accepted: 09/17/2013] [Indexed: 06/02/2023]
Abstract
Helical polymeric stents have been proposed as a suitable geometry for biodegradable drug-eluting polymer-based stents. However, helical stents often experience nonuniform local expansion (dog boning), which can prohibit full stent expansion using conventional methods. The development of stents and deployment methods is challenging and can be supported by numerical analysis; however, this complex problem is often approached with simplified boundary conditions that may not be appropriate for helical stents. The finite element method (explicit and implicit) was used to investigate three common stent expansion approaches with a focus on helical stent geometry, which differs from traditional wire mesh stent expansion. Although each of the three methods considered provided some insight into the expansion characteristics, common displacement controlled, and uniform expansion methods were not able to demonstrate the characteristic local deformations observed in expansion. A coupled stent-balloon model, although computationally expensive, was able to demonstrate the expected nonuniform deformation. To address nonuniform expansion, a progressive expansion approach has been investigated and verified numerically. This method may also provide a suitable solution for nonuniform expansion in other stent designs by minimizing loading and potential damage to the artery that can occur during stent deployment.
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Affiliation(s)
- Nasim Paryab
- University of Waterloo, Waterloo, Ontario, Canada
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Iivarinen JT, Korhonen RK, Jurvelin JS. Experimental and numerical analysis of soft tissue stiffness measurement using manual indentation device--significance of indentation geometry and soft tissue thickness. Skin Res Technol 2013; 20:347-54. [PMID: 24267492 DOI: 10.1111/srt.12125] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 10/21/2013] [Indexed: 11/30/2022]
Abstract
BACKGROUND Indentation techniques haves been applied to measure stiffness of human soft tissues. Tissue properties and geometry of the indentation instrument control the measured response. METHODS Mechanical roles of different soft tissues were characterized to understand the performance of the indentation instrument. An optimal instrument design was investigated. Experimental indentations in forearm of human subjects (N = 11) were conducted. Based on peripheral quantitative computed tomography imaging, a finite element (FE) model for indentation was created. The model response was matched with the experimental data. RESULTS Optimized values for the elastic modulus of skin and adipose tissue were 130.2 and 2.5 kPa, respectively. The simulated indentation response was 3.9 ± 1.2 (mean ± SD) and 4.9 ± 2.0 times more sensitive to changes in the elastic modulus of the skin than to changes in the elastic modulus of adipose tissue and muscle, respectively. Skin thickness affected sensitivity of the instrument to detect changes in stiffness of the underlying tissues. CONCLUSION Finite element modeling provides a feasible method to quantitatively evaluate the geometrical aspects and the sensitivity of an indentation measurement device. Systematically, the skin predominantly controlled the indentation response regardless of the indenter geometry or variations in the volume of different soft tissues.
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Affiliation(s)
- J T Iivarinen
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland; Department of Physical and Rehabilitation Medicine, Kuopio University Hospital, Kuopio, Finland
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Grogan JA, Leen SB, McHugh PE. Optimizing the design of a bioabsorbable metal stent using computer simulation methods. Biomaterials 2013; 34:8049-60. [DOI: 10.1016/j.biomaterials.2013.07.010] [Citation(s) in RCA: 50] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/16/2013] [Accepted: 07/01/2013] [Indexed: 12/21/2022]
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Wu W, Chen S, Gastaldi D, Petrini L, Mantovani D, Yang K, Tan L, Migliavacca F. Experimental data confirm numerical modeling of the degradation process of magnesium alloys stents. Acta Biomater 2013; 9:8730-9. [PMID: 23128160 DOI: 10.1016/j.actbio.2012.10.035] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/18/2012] [Revised: 09/29/2012] [Accepted: 10/28/2012] [Indexed: 11/30/2022]
Abstract
Biodegradable magnesium alloy stents (MAS) could present improved long-term clinical performances over commercial bare metal or drug-eluting stents. However, MAS were found to show limited mechanical support for diseased vessels due to fast degradation. Optimizing stent design through finite element analysis (FEA) is an efficient way to improve such properties. Following previous FEA works on design optimization and degradation modeling of MAS, this work carried out an experimental validation for the developed FEA model, thus proving its practical applicability of simulating MAS degradation. Twelve stent samples of AZ31B were manufactured according to two MAS designs (an optimized one and a conventional one), with six samples of each design. All the samples were balloon expanded and subsequently immersed in D-Hanks' solution for a degradation test lasting 14 days. The experimental results showed that the samples of the optimized design had better corrosion resistance than those of the conventional design. Furthermore, the degradation process of the samples was dominated by uniform and stress corrosion. With the good match between the simulation and the experimental results, the work shows that the FEA numerical modeling constitutes an effective tool for design and thus the improvement of novel biodegradable MAS.
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Affiliation(s)
- Wei Wu
- Laboratory of Biological Structure Mechanics, Structural Engineering Department, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milan, Italy.
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