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Qiu H, Yue G, Fan H, Liu X, Tian J. Measure synchronization transition and its critical behavior in coupled camphor rotors. CHAOS (WOODBURY, N.Y.) 2025; 35:033135. [PMID: 40085674 DOI: 10.1063/5.0251807] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/05/2024] [Accepted: 01/27/2025] [Indexed: 03/16/2025]
Abstract
Building upon prior experimental research on measure synchronization (MS) in two coupled camphor rotors [Jain et al., Phys. Rev. E 108, 024217 (2023)], this paper presents an extensive theoretical study on MS transitions in both two and three coupled camphor rotors. For modelling, each camphor rotor is represented by a point particle that is confined to move along a unit circle around their centers, the camphor rotors are coupled with each other through interaction terms described by the repulsive Yukawa potential in between any two point particles. We find that by increasing the coupling intensity in between the camphor rotors, above certain critical coupling intensities, the camphor rotors achieve MS, including partial MS (PMS) and complete MS (CMS). The energy characteristics of MS in the camphor rotors are discussed. The results show that both phase locking and frequency locking are achieved at MS transitions. In addition, through Poincaré cross section analysis, we reveal the dynamic mechanism of various MS transitions.
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Affiliation(s)
- Haibo Qiu
- School of Science, Xi'an University of Posts Telecommunications, 710121 Xi'an, China
| | - Gangmin Yue
- School of Science, Xi'an University of Posts Telecommunications, 710121 Xi'an, China
| | - Huawei Fan
- School of Science, Xi'an University of Posts Telecommunications, 710121 Xi'an, China
| | - Xiaojun Liu
- School of Science, Xi'an University of Posts Telecommunications, 710121 Xi'an, China
| | - Jing Tian
- School of Science, Xi'an University of Posts Telecommunications, 710121 Xi'an, China
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Carlantoni C, Liekfeld LMH, Beerens M, Frye M. Same same but different? How blood and lymphatic vessels induce cell contact inhibition. Biochem Soc Trans 2025; 53:BST20240573. [PMID: 39912714 DOI: 10.1042/bst20240573] [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: 11/08/2024] [Revised: 01/07/2025] [Accepted: 01/14/2025] [Indexed: 02/07/2025]
Abstract
Endothelial cells (ECs) migrate, sprout, and proliferate in response to (lymph)angiogenic mitogens, such as vascular endothelial growth factors. When ECs reach high confluency and encounter spatial confinement, they establish mature cell-cell junctions, reduce proliferation, and enter a quiescent state through a process known as contact inhibition. However, EC quiescence is modulated not only by spatial confinement but also by other mechano-environmental factors, including blood or lymph flow and extracellular matrix properties. Changes in physical forces and intracellular signaling can disrupt contact inhibition, resulting in aberrant proliferation and vascular dysfunction. Therefore, it is critical to understand the mechanisms by which endothelial cells regulate contact inhibition. While contact inhibition has been well studied in blood endothelial cells (BECs), its regulation in lymphatic endothelial cells (LECs) remains largely unexplored. Here, we review the current knowledge on extrinsic stimuli and intrinsic molecular pathways that govern endothelial contact inhibition and highlight nuanced differences between BECs and LECs. Furthermore, we provide perspectives for future research on lymphatic contact inhibition. A deeper understanding of the BEC and LEC-specific pathways underlying contact inhibition may enable targeted modulation of this process in blood or lymphatic vessels with relevance to lymphatic or blood vascular-specific disorders.
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Affiliation(s)
- Claudia Carlantoni
- Institute of Clinical Chemistry and Laboratory Medicine, University Medical Center Hamburg-Eppendorf, Hamburg 20246, Germany
- German Centre of Cardiovascular Research (DZHK), Partner Site Hamburg, Luebeck, Kiel, Hamburg, Germany
| | - Leon M H Liekfeld
- Institute of Clinical Chemistry and Laboratory Medicine, University Medical Center Hamburg-Eppendorf, Hamburg 20246, Germany
| | - Manu Beerens
- Institute of Clinical Chemistry and Laboratory Medicine, University Medical Center Hamburg-Eppendorf, Hamburg 20246, Germany
- German Centre of Cardiovascular Research (DZHK), Partner Site Hamburg, Luebeck, Kiel, Hamburg, Germany
| | - Maike Frye
- Institute of Clinical Chemistry and Laboratory Medicine, University Medical Center Hamburg-Eppendorf, Hamburg 20246, Germany
- German Centre of Cardiovascular Research (DZHK), Partner Site Hamburg, Luebeck, Kiel, Hamburg, Germany
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Lange S, Schmied J, Willam P, Voss-Böhme A. Minimal cellular automaton model with heterogeneous cell sizes predicts epithelial colony growth. J Theor Biol 2024; 592:111882. [PMID: 38944379 DOI: 10.1016/j.jtbi.2024.111882] [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: 03/12/2024] [Revised: 06/04/2024] [Accepted: 06/14/2024] [Indexed: 07/01/2024]
Abstract
Regulation of cell proliferation is a crucial aspect of tissue development and homeostasis and plays a major role in morphogenesis, wound healing, and tumor invasion. A phenomenon of such regulation is contact inhibition, which describes the dramatic slowing of proliferation, cell migration and individual cell growth when multiple cells are in contact with each other. While many physiological, molecular and genetic factors are known, the mechanism of contact inhibition is still not fully understood. In particular, the relevance of cellular signaling due to interfacial contact for contact inhibition is still debated. Cellular automata (CA) have been employed in the past as numerically efficient mathematical models to study the dynamics of cell ensembles, but they are not suitable to explore the origins of contact inhibition as such agent-based models assume fixed cell sizes. We develop a minimal, data-driven model to simulate the dynamics of planar cell cultures by extending a probabilistic CA to incorporate size changes of individual cells during growth and cell division. We successfully apply this model to previous in-vitro experiments on contact inhibition in epithelial tissue: After a systematic calibration of the model parameters to measurements of single-cell dynamics, our CA model quantitatively reproduces independent measurements of emergent, culture-wide features, like colony size, cell density and collective cell migration. In particular, the dynamics of the CA model also exhibit the transition from a low-density confluent regime to a stationary postconfluent regime with a rapid decrease in cell size and motion. This implies that the volume exclusion principle, a mechanical constraint which is the only inter-cellular interaction incorporated in the model, paired with a size-dependent proliferation rate is sufficient to generate the observed contact inhibition. We discuss how our approach enables the introduction of effective bio-mechanical interactions in a CA framework for future studies.
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Affiliation(s)
- Steffen Lange
- DataMedAssist Group, HTW Dresden-University of Applied Sciences, Dresden, 01069, Germany; OncoRay-National Center for Radiation Research in Oncology, Faculty of Medicine and University Hospital Carl Gustav Carus, Technische Universität Dresden, Helmholtz-Zentrum Dresden-Rossendorf, Dresden, 01307, Germany.
| | - Jannik Schmied
- DataMedAssist Group, HTW Dresden-University of Applied Sciences, Dresden, 01069, Germany; Faculty of Informatics/Mathematics, HTW Dresden-University of Applied Sciences, Dresden, 01069, Germany
| | - Paul Willam
- DataMedAssist Group, HTW Dresden-University of Applied Sciences, Dresden, 01069, Germany
| | - Anja Voss-Böhme
- DataMedAssist Group, HTW Dresden-University of Applied Sciences, Dresden, 01069, Germany; Faculty of Informatics/Mathematics, HTW Dresden-University of Applied Sciences, Dresden, 01069, Germany
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Happel L, Voigt A. Coordinated Motion of Epithelial Layers on Curved Surfaces. PHYSICAL REVIEW LETTERS 2024; 132:078401. [PMID: 38427891 DOI: 10.1103/physrevlett.132.078401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/03/2023] [Accepted: 12/21/2023] [Indexed: 03/03/2024]
Abstract
Coordinated cellular movements are key processes in tissue morphogenesis. Using a cell-based modeling approach we study the dynamics of epithelial layers lining surfaces with constant and varying curvature. We demonstrate that extrinsic curvature effects can explain the alignment of cell elongation with the principal directions of curvature. Together with specific self-propulsion mechanisms and cell-cell interactions this effect gets enhanced and can explain observed large-scale, persistent, and circumferential rotation on cylindrical surfaces. On toroidal surfaces the resulting curvature coupling is an interplay of intrinsic and extrinsic curvature effects. These findings unveil the role of curvature and postulate its importance for tissue morphogenesis.
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Affiliation(s)
- L Happel
- Institute of Scientific Computing, TU Dresden, 01062 Dresden, Germany
| | - A Voigt
- Institute of Scientific Computing, TU Dresden, 01062 Dresden, Germany
- Center for Systems Biology Dresden, Pfotenhauerstr. 108, 01307 Dresden, Germany
- Cluster of Excellence, Physics of Life, TU Dresden, Arnoldstr. 18, 01307 Dresden, Germany
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Nakamura F. The Role of Mechanotransduction in Contact Inhibition of Locomotion and Proliferation. Int J Mol Sci 2024; 25:2135. [PMID: 38396812 PMCID: PMC10889191 DOI: 10.3390/ijms25042135] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/19/2023] [Revised: 01/30/2024] [Accepted: 02/01/2024] [Indexed: 02/25/2024] Open
Abstract
Contact inhibition (CI) represents a crucial tumor-suppressive mechanism responsible for controlling the unbridled growth of cells, thus preventing the formation of cancerous tissues. CI can be further categorized into two distinct yet interrelated components: CI of locomotion (CIL) and CI of proliferation (CIP). These two components of CI have historically been viewed as separate processes, but emerging research suggests that they may be regulated by both distinct and shared pathways. Specifically, recent studies have indicated that both CIP and CIL utilize mechanotransduction pathways, a process that involves cells sensing and responding to mechanical forces. This review article describes the role of mechanotransduction in CI, shedding light on how mechanical forces regulate CIL and CIP. Emphasis is placed on filamin A (FLNA)-mediated mechanotransduction, elucidating how FLNA senses mechanical forces and translates them into crucial biochemical signals that regulate cell locomotion and proliferation. In addition to FLNA, trans-acting factors (TAFs), which are proteins or regulatory RNAs capable of directly or indirectly binding to specific DNA sequences in distant genes to regulate gene expression, emerge as sensitive players in both the mechanotransduction and signaling pathways of CI. This article presents methods for identifying these TAF proteins and profiling the associated changes in chromatin structure, offering valuable insights into CI and other biological functions mediated by mechanotransduction. Finally, it addresses unanswered research questions in these fields and delineates their possible future directions.
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Affiliation(s)
- Fumihiko Nakamura
- School of Pharmaceutical Science and Technology, Tianjin University, 92 Weijin Road, Nankai District, Tianjin 300072, China
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Jain HP, Voigt A, Angheluta L. Robust statistical properties of T1 transitions in a multi-phase field model of cell monolayers. Sci Rep 2023; 13:10096. [PMID: 37344548 DOI: 10.1038/s41598-023-37064-6] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/27/2023] [Accepted: 06/15/2023] [Indexed: 06/23/2023] Open
Abstract
Large-scale tissue deformation which is fundamental to tissue development hinges on local cellular rearrangements, such as T1 transitions. In the realm of the multi-phase field model, we analyse the statistical and dynamical properties of T1 transitions in a confluent monolayer. We identify an energy profile that is robust to changes in several model parameters. It is characterized by an asymmetric profile with a fast increase in energy before the T1 transition and a sudden drop after the T1 transition, followed by a slow relaxation. The latter being a signature of the fluidity of the cell monolayer. We show that T1 transitions are sources of localised large deformation of the cells undergoing the neighbour exchange, and they induce other T1 transitions in the nearby cells leading to a chaining of events that propagate local cell deformation to large scale tissue flows.
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Affiliation(s)
- Harish P Jain
- Njord Centre, Department of Physics, University of Oslo, 0371, Oslo, Norway.
| | - Axel Voigt
- Institute of Scientific Computing, Technische Universität Dresden, 01062, Dresden, Germany
- Center of Systems Biology Dresden, Pfotenhauerstr. 108, 01307, Dresden, Germany
- Cluster of Excellence - Physics of Life, TU Dresden, 01062, Dresden, Germany
| | - Luiza Angheluta
- Njord Centre, Department of Physics, University of Oslo, 0371, Oslo, Norway
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Lu X, Zou H, Liao X, Xiong Y, Hu X, Cao J, Pan J, Li C, Zheng Y. Construction of PCL-collagen@PCL@PCL-gelatin three-layer small diameter artificial vascular grafts by electrospinning. Biomed Mater 2022; 18. [PMID: 36374009 DOI: 10.1088/1748-605x/aca269] [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: 07/23/2022] [Accepted: 11/14/2022] [Indexed: 11/16/2022]
Abstract
The demand for artificial vascular grafts in clinical applications is increasing, and it is urgent to design a tissue-engineered vascular graft with good biocompatibility and sufficient mechanical strength. In this study, three-layer small diameter artificial vascular grafts were constructed by electrospinning. Polycaprolactone (PCL) and collagen (COL) were used as the inner layer to provide good biocompatibility and cell adhesion, the middle layer was PCL to improve the mechanical properties, and gelatin (GEL) and PCL were used to construct the outer layer for further improving the mechanical properties and biocompatibility of the vascular grafts in the human body environment. The electrospun artificial vascular graft had good biocompatibility and mechanical properties. Its longitudinal maximum stress reached 2.63 ± 0.12 MPa, which exceeded the maximum stress that many natural blood vessels could withstand. The fiber diameter of the vascular grafts was related to the proportion of components that made up the vascular grafts. In the inner structure of the vascular grafts, the hydrophilicity of the vascular grafts was enhanced by the addition of COL to the PCL, and human umbilical vein endothelial cells (HUVECs) adhered more easily to the vascular grafts. In particular, the cytocompatibility and proliferation of HUVECs on the scaffold with an inner structure PCL:COL = 2:1 was superior to other ratios of vascular grafts. The vascular grafts did not cause hemolysis of red blood cells. Thus, the bionic PCL-COL@PCL@PCL-GEL composite graft is a promising material for vascular tissue engineering.
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Affiliation(s)
- Xingjian Lu
- Department of Physics, and Key Laboratory of ATMMT Ministry of Education, Zhejiang Sci-Tech University, Hangzhou 310018, People's Republic of China
| | - Hao Zou
- Department of Physics, and Key Laboratory of ATMMT Ministry of Education, Zhejiang Sci-Tech University, Hangzhou 310018, People's Republic of China
| | - Xiaokun Liao
- Department of Physics, and Key Laboratory of ATMMT Ministry of Education, Zhejiang Sci-Tech University, Hangzhou 310018, People's Republic of China
| | - Yue Xiong
- Department of Physics, and Key Laboratory of ATMMT Ministry of Education, Zhejiang Sci-Tech University, Hangzhou 310018, People's Republic of China
| | - Xiaoyan Hu
- Department of Physics, and Key Laboratory of ATMMT Ministry of Education, Zhejiang Sci-Tech University, Hangzhou 310018, People's Republic of China
| | - Jun Cao
- Department of Physics, and Key Laboratory of ATMMT Ministry of Education, Zhejiang Sci-Tech University, Hangzhou 310018, People's Republic of China
| | - Jiaqi Pan
- Department of Physics, and Key Laboratory of ATMMT Ministry of Education, Zhejiang Sci-Tech University, Hangzhou 310018, People's Republic of China
| | - Chaorong Li
- Department of Physics, and Key Laboratory of ATMMT Ministry of Education, Zhejiang Sci-Tech University, Hangzhou 310018, People's Republic of China
| | - Yingying Zheng
- Department of Physics, and Key Laboratory of ATMMT Ministry of Education, Zhejiang Sci-Tech University, Hangzhou 310018, People's Republic of China
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