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Although continuous advances in theoretical modelling of Molecular Communications (MC) are observed, there is still an insuperable gap between theory and experimental testbeds, especially at the microscale. In this paper, the development of…

The effect of mechanical interactions between cells in the spreading of bacterial populations was investigated in one-dimensional space. A continuum-mechanics approach, comprising cell migration, proliferation, and exclusion processes, was…

Biological Physics · Physics 2015-12-15 Waipot Ngamsaad , Suthep Suantai

A new class of micromechanically motivated chain network models for soft biological tissues is presented. On the microlevel, it is based on the statistics of long chain molecules. A wormlike chain model is applied to capture the behavior of…

Quantitative Methods · Quantitative Biology 2009-11-10 E. Kuhl , K. Garikipati , E. M. Arruda , K. Grosh

Diverse processes--e.g. bioremediation, biofertilization, and microbial drug delivery--rely on bacterial migration in disordered, three-dimensional (3D) porous media. However, how pore-scale confinement alters bacterial motility is unknown…

Soft Condensed Matter · Physics 2019-05-09 Tapomoy Bhattacharjee , Sujit S. Datta

The organization of live cells to tissues is associated with the mechanical interaction between cells, which is mediated through their elastic environment. We model cells as spherical active force dipoles surrounded by an infinite elastic…

Biological Physics · Physics 2017-06-08 Roman Golkov , Yair Shokef

Cell cultures exhibit rich and complex behaviors driven by dynamic metabolic interactions among cells. In this work, we present a model that captures these interactions through a framework inspired by statistical mechanics. Using Monte…

Biological Physics · Physics 2025-09-25 A. R. Batista-Tomás , C. Díaz-Faloh , R. Mulet

We consider a continuum mechanical model for the migration of multiple cell populations through parts of tissue separated by thin membranes. In this model, cells belonging to different populations may be characterised by different…

Analysis of PDEs · Mathematics 2021-09-28 Chiara Giverso , Tommaso Lorenzi , Luigi Preziosi

Cell movement in the early phase of C. elegans development is regulated by a highly complex process in which a set of rules and connections are formulated at distinct scales. Previous efforts have shown that agent-based, multi-scale…

Quantitative Methods · Quantitative Biology 2018-05-11 Zi Wang , Dali Wang , Chengcheng Li , Yichi Xu , Husheng Li , Zhirong Bao

As an effective method to deliver external materials into biological cells, microinjection has been widely applied in the biomedical field. However, the cognition of cell mechanical property is still inadequate, which greatly limits the…

Robotics · Computer Science 2022-11-29 Shengzheng Kang , Zhicheng Song , Xiaolong Yang , Yao Li , Hongtao Wu , Tao Li

We present a new kinetic equation for cell migration driven by mechanical interactions with the substrate, an effect not previously captured in kinetic models, and essential for explaining observed collective behaviors such as those in…

Analysis of PDEs · Mathematics 2026-01-12 Benoît Perthame , Francesco Salvarani , Shugo Yasuda

During animal development and homeostasis, the structure of tissues, including muscles, blood vessels and connective tissues adapts to mechanical strains in the extracellular matrix (ECM). These strains originate from the differential…

Cell Behavior · Quantitative Biology 2017-03-06 Elisabeth G. Rens , Roeland M. H. Merks

The migratory dynamics of cells in physiological processes, ranging from wound healing to cancer metastasis, rely on contact-mediated cell-cell interactions. These interactions play a key role in shaping the stochastic trajectories of…

After injury, if regeneration can be observed in hydra, planaria and some vertebrates, regeneration is rare in mammals and particularly in humans. In this paper, we investigate the mechanisms by which biological tissues recover after…

Tissues and Organs · Quantitative Biology 2019-03-05 Diane Peurichard , Marielle Ousset , Jenny Paupert , Benjamin Aymard , Anne Lorsignol , Louis Casteilla , Pierre Degond

Living cells are soft bodies of a characteristic form, but endowed with a capacity for a steady turnover of their structures. Both of these material properties, i.e. recovery of the shape after an external stress has been imposed and…

Soft Condensed Matter · Physics 2007-05-23 Erwin Frey , Klaus Kroy , Jan Wilhelm

Cell migration is essential for regulating many biological processes in physiological or pathological conditions, including embryonic development and cancer invasion. In vitro and in silico studies suggest that collective cell migration is…

Diffusive transport of small molecules within the internal structures of biological and synthetic material systems is complex because the crowded environment presents chemical and physical barriers to mobility. We explored this mobility…

Soft Condensed Matter · Physics 2020-09-29 Rajarshi Guha , Subhadip Ghosh , Darrell Velegol , Peter J. Butler , Ayusman Sen , Jennifer L. Ross

Biological nanomachines are nanometer-size macromolecular complexes that catalyze chemical reactions in the presence of substrate molecules. The catalytic functions carried out by such nanomachines in the cytoplasm, and biological membranes…

Soft Condensed Matter · Physics 2022-11-22 Yuto Hosaka , Shigeyuki Komura

Cell migration is an indispensable physiological and pathological process for normal tissue development and cancer metastasis, which is greatly regulated by intracellular signal pathways and extracellular microenvironment (ECM). However,…

Biological Physics · Physics 2020-10-27 Yanping Liu , Yang Jiao , Guoqiang Li , Gao Wang , Jingru Yao , Guo Chen , Silong Lou , Jianwei Shuai , Liyu Liu

Intracellular transport processes are essential to the healthy development of many organisms as well as more generally to healthy cellular function. The complex dynamics and interactions between protein molecules and filaments on different…

Dynamical Systems · Mathematics 2022-07-27 Maria-Veronica Ciocanel

We present a hybrid vertex/cell-centred model for mechanically simulating planar cellular monolayers undergoing cell reorganisation. Cell centres are represented by a triangular nodal network, while the cell boundaries are formed by an…

Cell Behavior · Quantitative Biology 2017-05-17 Payman Mosaffa , Antonio Rodríguez-Ferran , José J. Muñoz