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Hunter I, Norton MM, Chen B, Simonetti C, Moustaka ME, Touboul J, Fraden S. Pattern formation in a four-ring reaction-diffusion network with heterogeneity. Phys Rev E 2022; 105:024310. [PMID: 35291089 DOI: 10.1103/physreve.105.024310] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/19/2021] [Accepted: 01/28/2022] [Indexed: 11/07/2022]
Abstract
In networks of nonlinear oscillators, symmetries place hard constraints on the system that can be exploited to predict universal dynamical features and steady states, providing a rare generic organizing principle for far-from-equilibrium systems. However, the robustness of this class of theories to symmetry-disrupting imperfections is untested in free-running (i.e., non-computer-controlled) systems. Here, we develop a model experimental reaction-diffusion network of chemical oscillators to test applications of the theory of dynamical systems with symmeries in the context of self-organizing systems relevant to biology and soft robotics. The network is a ring of four microreactors containing the oscillatory Belousov-Zhabotinsky reaction coupled to nearest neighbors via diffusion. Assuming homogeneity across the oscillators, theory predicts four categories of stable spatiotemporal phase-locked periodic states and four categories of invariant manifolds that guide and structure transitions between phase-locked states. In our experiments, we observed that three of the four phase-locked states were displaced from their idealized positions and, in the ensemble of measurements, appeared as clusters of different shapes and sizes, and that one of the predicted states was absent. We also observed the predicted symmetry-derived synchronous clustered transients that occur when the dynamical trajectories coincide with invariant manifolds. Quantitative agreement between experiment and numerical simulations is found by accounting for the small amount of experimentally determined heterogeneity in intrinsic frequency. We further elucidate how different patterns of heterogeneity impact each attractor differently through a bifurcation analysis. We show that examining bifurcations along invariant manifolds provides a general framework for developing intuition about how chemical-specific dynamics interact with topology in the presence of heterogeneity that can be applied to other oscillators in other topologies.
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Affiliation(s)
- Ian Hunter
- Brandeis University Physics, Waltham, Massachusetts 02453, USA
| | - Michael M Norton
- Center for Neural Engineering, Department of Engineering Science and Mechanics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
| | - Bolun Chen
- Volen National Center for Complex Systems, Brandeis University, Waltham, Massachusetts 02453, USA.,Department of Physics, Boston University, Boston Massachusetts 02215, USA
| | - Chris Simonetti
- Brandeis University Physics, Waltham, Massachusetts 02453, USA
| | | | - Jonathan Touboul
- Volen National Center for Complex Systems, Brandeis University, Waltham, Massachusetts 02453, USA.,Brandeis University Mathematics Department, Waltham, Massachusetts 02453, USA
| | - Seth Fraden
- Brandeis University Physics, Waltham, Massachusetts 02453, USA
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Onken A, Schütte H, Wulff A, Lenz-Strauch H, Kreienmeyer M, Hild S, Stieglitz T, Gassmann S, Lenarz T, Doll T. Predicting Corrosion Delamination Failure in Active Implantable Medical Devices: Analytical Model and Validation Strategy. Bioengineering (Basel) 2021; 9:bioengineering9010010. [PMID: 35049719 PMCID: PMC8773110 DOI: 10.3390/bioengineering9010010] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/01/2021] [Revised: 12/20/2021] [Accepted: 12/25/2021] [Indexed: 11/16/2022] Open
Abstract
The ingress of body fluids or their constituents is one of the main causes of failure of active implantable medical devices (AIMDs). Progressive delamination takes its origin at the junctions where exposed electrodes and conductive pathways enter the implant interior. The description of this interface is considered challenging because electrochemically-diffusively coupled processes are involved. Furthermore, standard tests and specimens, with clearly defined 3-phase boundaries (body fluid-metal-polymer), are lacking. We focus on polymers as substrate and encapsulation and present a simple method to fabricate reliable test specimens with defined boundaries. By using silicone rubber as standard material in active implant encapsulation in combination with a metal surface, a corrosion-triggered delamination process was observed that can be universalised towards typical AIMD electrode materials. Copper was used instead of medical grade platinum since surface energies are comparable but corrosion occurs faster. The finding is that two processes are superimposed there: First, diffusion-limited chemical reactions at interfaces that undermine the layer adhesion. The second process is the influx of ions and body fluid components that leave the aqueous phase and migrate through the rubber to internal interfaces. The latter observation is new for active implants. Our mathematical description with a Stefan-model coupled to volume diffusion reproduces the experimental data in good agreement and lends itself to further generalisation.
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Affiliation(s)
- Adrian Onken
- Department of Engineering, Jade University of Applied Sciences, 26382 Wilhelmshaven, Germany; (A.O.); (H.S.); (H.L.-S.); (S.G.)
- Department of Otolaryngology, Hannover Medical School MHH, 30625 Hannover, Germany; (A.W.); (M.K.); (T.L.)
| | - Helmut Schütte
- Department of Engineering, Jade University of Applied Sciences, 26382 Wilhelmshaven, Germany; (A.O.); (H.S.); (H.L.-S.); (S.G.)
| | - Anika Wulff
- Department of Otolaryngology, Hannover Medical School MHH, 30625 Hannover, Germany; (A.W.); (M.K.); (T.L.)
| | - Heidi Lenz-Strauch
- Department of Engineering, Jade University of Applied Sciences, 26382 Wilhelmshaven, Germany; (A.O.); (H.S.); (H.L.-S.); (S.G.)
| | - Michaela Kreienmeyer
- Department of Otolaryngology, Hannover Medical School MHH, 30625 Hannover, Germany; (A.W.); (M.K.); (T.L.)
| | - Sabine Hild
- Institute of Polymer Chemistry, Johannes Kepler University, 4010 Linz, Austria;
| | - Thomas Stieglitz
- Department of Microsystems Engineering—IMTEK, University of Freiburg, 79110 Freiburg, Germany;
| | - Stefan Gassmann
- Department of Engineering, Jade University of Applied Sciences, 26382 Wilhelmshaven, Germany; (A.O.); (H.S.); (H.L.-S.); (S.G.)
| | - Thomas Lenarz
- Department of Otolaryngology, Hannover Medical School MHH, 30625 Hannover, Germany; (A.W.); (M.K.); (T.L.)
| | - Theodor Doll
- Department of Engineering, Jade University of Applied Sciences, 26382 Wilhelmshaven, Germany; (A.O.); (H.S.); (H.L.-S.); (S.G.)
- Department of Otolaryngology, Hannover Medical School MHH, 30625 Hannover, Germany; (A.W.); (M.K.); (T.L.)
- Institute of Polymer Chemistry, Johannes Kepler University, 4010 Linz, Austria;
- Fraunhofer Institute of Toxicology and Experimental Medicine ITEM, 30625 Hannover, Germany
- Correspondence: ; Tel.: +49-511-532-1530
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Sun W, Liu J, Hao Q, Lu K, Wu Z, Chen H. A novel Y-shaped photoiniferter used for the construction of polydimethylsiloxane surfaces with antibacterial and antifouling properties. J Mater Chem B 2021; 10:262-270. [PMID: 34889346 DOI: 10.1039/d1tb01968f] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
Abstract
The simultaneous introduction of two new functionalities into the same polymeric substrate under mild reaction conditions is an interesting and important topic. Herein, dual-functional polydimethylsiloxane (PDMS) surfaces with antibacterial and antifouling properties were conveniently developed via a novel Y-shaped asymmetric dual-functional photoiniferter (Y-iniferter). The Y-iniferter was initially immobilized onto the PDMS surface by radical coupling under visible light irradiation. Afterwards, poly(2-hydroxyethyl methacrylate) (PHEMA) brushes and antibacterial ionic liquid (IL) fragments were simultaneously immobilized on the Y-iniferter-modified PDMS surfaces by combining the sulfur(VI)-fluoride exchange (SuFEx) click reaction and UV-photoinitiated polymerization. Experiments using E. coli as a model bacterium demonstrated that the modified PDMS surfaces had both the expected antibacterial properties of the IL fragments and the excellent antifouling properties of PHEMA brushes. Furthermore, the cytotoxicity of the modified PDMS surfaces to L929 cells was examined in vitro with a CCK-8 assay, which showed that the modified surfaces maintained excellent cytocompatibility. Briefly, this strategy of constructing an antibacterial and antifouling PDMS surface has the advantages of simplicity and convenience and might inspire the construction of diverse dual-functional surfaces by utilizing PDMS more effectively.
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Affiliation(s)
- Wei Sun
- College of Chemistry, Chemical Engineering and Materials Science, Soochow University, Suzhou 215123, P. R. China.
| | - Jingrui Liu
- College of Chemistry, Chemical Engineering and Materials Science, Soochow University, Suzhou 215123, P. R. China.
| | - Qing Hao
- College of Chemistry, Chemical Engineering and Materials Science, Soochow University, Suzhou 215123, P. R. China.
| | - Kunyan Lu
- College of Chemistry, Chemical Engineering and Materials Science, Soochow University, Suzhou 215123, P. R. China.
| | - Zhaoqiang Wu
- College of Chemistry, Chemical Engineering and Materials Science, Soochow University, Suzhou 215123, P. R. China.
| | - Hong Chen
- College of Chemistry, Chemical Engineering and Materials Science, Soochow University, Suzhou 215123, P. R. China.
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