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We study the vertex model for epithelial tissue mechanics extended to include coupling between the cell shapes and tensions in cell-cell junctions. This coupling represents an active force which drives the system out of equilibrium and…

Soft Condensed Matter · Physics 2022-12-22 Jan Rozman , Rastko Sknepnek , Julia M. Yeomans

Tuning cell rearrangements is essential in collective cell movement that underlies cancer progression, wound repair, and embryonic development. A key question is how tissue material properties and morphology emerge from cellular factors…

Biological Physics · Physics 2025-07-15 Soumyadipta Ray , Santidan Biswas , Dipjyoti Das

The virtual element method (VEM) is a stabilized Galerkin method that is robust and accurate on general polygonal meshes. This feature makes it an appealing candidate for simulations involving meshes with embedded interfaces and evolving…

Numerical Analysis · Mathematics 2025-10-03 Ramsharan Rangarajan , N. Sukumar

Healing of soft biological tissue is the process of self-recovering or self-repairing the injured or damaged extracellular matrix (ECM). Healing is assumed to be stress-driven, with the objective of returning to a homeostatic stress metrics…

Medical Physics · Physics 2019-12-17 Yiqian He , Di Zuo , Klaus Hackl , Haitian Yang , S. Jamaleddin Mousavi , Stéphane Avril

Embryonic tissues deform across broad spatial and temporal scales and relax stress through active rearrangements. A quantitative link between cell-scale activity, spatial forcing, and emergent tissue-scale mechanics remains incomplete.…

Biological Physics · Physics 2025-12-18 Sahil Islam , Mohd. Suhail Rizvi , Anupam Gupta

A novel finite element method (FEM) is developed to study mechanical response of axons embedded in extra cellular matrix (ECM) when subjected to harmonic uniaxial stretch under purely non-affine kinematic boundary conditions. The proposed…

Biological Physics · Physics 2022-05-06 Mohit Agarwal , Assimina A. Pelegri

Agent-based cellular models simulate tissue evolution by capturing the behavior of individual cells, their interactions with neighboring cells, and their responses to the surrounding microenvironment. An important challenge in the field is…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-06 Jose-Luis Estragues-Muñoz , Carlos Alvarez , Arnau Montagud , Daniel Jimenez-Gonzalez , Alfonso Valencia

The Active Flux scheme is a Finite Volume scheme with additional point values distributed along the cell boundary. It is third order accurate and does not require a Riemann solver: the continuous reconstruction serves as initial data for…

Numerical Analysis · Mathematics 2021-08-09 Wasilij Barsukow , Jonas P. Berberich , Christian Klingenberg

Cellular contractility, migration, and extracellular matrix (ECM) mechanics are critical for a wide range of biological processes including embryonic development, wound healing, tissue morphogenesis, and regeneration. Even though the…

Biological Physics · Physics 2023-10-17 Jaemin Kim , Mahmut Selman Sakar , Nikolaos Bouklas

Membrane-type Acoustic Metamaterials (MAMs) have demonstrated unusual capacity in controlling low-frequency sound transmission/reflection. In this paper, an analytical vibroacoustic membrane model is developed to study sound transmission…

Soft Condensed Matter · Physics 2015-06-17 Yangyang Chen , Xiaoming Zhou , Gengkai Hu , Chin-Teh Sun , Guoliang Huang

High-resolution and anatomically realistic computer models of biological soft tissues play a significant role in the understanding of the function of cardiovascular components in health and disease. However, the computational effort to…

Medical Physics · Physics 2015-08-12 Christoph M. Augustin , Gerhard A. Holzapfel , Olaf Steinbach

The simulation of morphogenetic problems requires the simultaneous and coupled simulation of signalling and tissue dynamics. A cellular resolution of the tissue domain is important to adequately describe the impact of cell-based events,…

Quantitative Methods · Quantitative Biology 2015-03-29 Simon Tanaka , David Sichau , Dagmar Iber

Metastatic tumors often invade healthy neighboring tissues by forming multicellular finger-like protrusions emerging from the cancer mass. To understand the mechanical context behind this phenomenon, we here develop a minimalist fluid model…

Biological Physics · Physics 2018-09-18 Michał Bogdan , Thierry Savin

The shape that stem cells reach at the end of adhesion process influences their differentiation. Rearrangement of cytoskeleton and modification of intracellular tension may activate mechanotransduction pathways controlling cell commitment.…

Continuum robots offer high flexibility and multiple degrees of freedom, making them ideal for navigating narrow lumens. However, accurately modeling their behavior under large deformations and frequent environmental contacts remains…

Robotics · Computer Science 2025-03-11 Hao Chen , Jian Chen , Xinran Liu , Zihui Zhang , Yuanrui Huang , Zhongkai Zhang , Hongbin Liu

Medical image segmentation is evolving from task-specific models toward generalizable frameworks. Recent research leverages Multi-modal Large Language Models (MLLMs) as autonomous agents, employing reinforcement learning with verifiable…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Shengyuan Liu , Liuxin Bao , Qi Yang , Wanting Geng , Boyun Zheng , Chenxin Li , Wenting Chen , Houwen Peng , Yixuan Yuan

Tissue fluidity regulates many critical biological processes, including embryonic development, wound healing, and cancer metastasis. In confluent epithelia, where cell packing fraction is effectively fixed, the prevailing paradigm…

Biological Physics · Physics 2026-03-09 Pradip K. Bera , Anh Q. Nguyen , Molly McCord , Dapeng Bi , Jacob Notbohm

Foam is a canonical example of disordered soft matter where local force balance leads to the competition of many metastable configurations. Here we present an experimental and theoretical framework for "active foam" where an individual…

Soft Condensed Matter · Physics 2022-04-05 Laurel A. Kroo , Matthew Storm Bull , Manu Prakash

Animal morphogenesis often involves significant shape changes of epithelial tissue sheets. Great progress has been made in understanding the underlying cellular driving forces and their coordination through biomechanical feedback loops.…

Soft Condensed Matter · Physics 2024-09-23 Nikolas H. Claussen , Fridtjof Brauns

Cell-cell adhesion is one the most fundamental mechanisms regulating collective cell migration during tissue development, homeostasis and repair, allowing cell populations to self-organize and eventually form and maintain complex tissue…

Cell Behavior · Quantitative Biology 2022-11-16 Carles Falcó , Ruth E. Baker , José A. Carrillo
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