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A living cell actively generates traction forces on its environment with its actin cytoskeleton. These forces deform the cell elastic substrate which, in turn, affects the traction forces exerted by the cell and can consequently modify the…

Biological Physics · Physics 2022-02-03 H. Chelly , A. Jahangiri , M. Mireux , J. Étienne , D. K. Dysthe , C. Verdier , P. Recho

We extend a model for the morphology and dynamics of a crawling eukaryotic cell to describe cells on micropatterned substrates. This model couples cell morphology, adhesion, and cytoskeletal flow in response to active stresses induced by…

Cell Behavior · Quantitative Biology 2015-06-17 Brian A. Camley , Yanxiang Zhao , Bo Li , Herbert Levine , Wouter-Jan Rappel

Spatiotemporal patterns are common in biological systems. For electrically-coupled cells previous studies of pattern formation have mainly used external forcing as the main bifurcation parameter. The purpose of this paper is to show that…

Dynamical Systems · Mathematics 2021-11-02 H. O. Fatoyinbo , R. G. Brown , D. J. W. Simpson , B. van Brunt

While disproven by S. Carnot 200 years ago, corpuscularianism (the philosophy that the states of individual molecules determine the state of a system of those molecules) is still widely used to describe biological function. Nowhere is this…

Cell Behavior · Quantitative Biology 2025-06-11 Josh Baker

Cellular cargo can be bound to cytoskeletal filaments by one or multiple active or passive molecular motors. Recent experiments have shown that the presence of auxiliary, nondriving motors, results in an enhanced processivity of the cargo,…

Biomolecules · Quantitative Biology 2019-03-27 Filippo Posta , Maria R. D'Orsogna , Tom Chou

Based on symmetry consideration of migration and shape deformations, we formulate phenomenologically the dynamics of cell crawling in two dimensions. Forces are introduced to change the cell shape. The shape deformations induce migration of…

Biological Physics · Physics 2016-03-23 Takao Ohta , Mitsusuke Tarama , Masaki Sano

Material renewability in active living systems, such as in cells and tissues, can drive the large-scale patterning of forces, with distinctive phenotypic consequences. This is especially significant in the cell cytoskeleton, where multiple…

Soft Condensed Matter · Physics 2025-04-25 Ayan Roychowdhury , Saptarshi Dasgupta , Madan Rao

The reaction-diffusion models have been extensively applied to explain the mechanism of pattern formations in early embryogenesis based on geometrically confined microtissues consisting of human pluripotent stem cells. Recently, mechanical…

Biological Physics · Physics 2022-11-22 Tiankai Zhao , Hongyan Yuan

The growth of a tissue, which depends on cell-cell interactions and biologically relevant process such as cell division and apoptosis, is regulated by a mechanical feedback mechanism. We account for these effects in a minimal…

Soft Condensed Matter · Physics 2022-07-06 Sumit Sinha , Xin Li , Rajsekhar Das , D. Thirumalai

In Part I of this article we have developed a novel mechanobiological model of a Tissue Engineering process that accounts for the mechanisms through which an isotropic or anisotropic adherence condition regulates the active functions of the…

Numerical Analysis · Mathematics 2015-12-14 Chiara Lelli , Riccardo Sacco , Paola Causin , Manuela T. Raimondi

Active gels perform key mechanical roles inside the cell, such as cell division, motion and force sensing. The unique mechanical properties required to perform such functions arise from the interactions between molecular motors and…

Soft Condensed Matter · Physics 2022-08-16 Andrés Córdoba

We discuss theoretical models for the cooperative binding dynamics of ligands to substrates, such as dimeric motor proteins to microtubules or more extended macromolecules like tropomyosin to actin filaments. We study the effects of steric…

Soft Condensed Matter · Physics 2007-05-23 Erwin Frey , Andrej Vilfan

Neither of the two prevalent theories, namely thermodynamic stability and kinetic stability, provides a comprehensive understanding of protein folding. The thermodynamic theory is misleading because it assumes that free energy is the…

Biological Physics · Physics 2013-07-22 Ji Xu , Mengzhi Han , Ying Ren , Jinghai Li

Protein-ligand interactions are crucial for a wide range of physiological processes. Many cellular functions result in these non-covalent `bonds' being mechanically strained, and this can be integral to proper cellular function. Broadly,…

Soft Condensed Matter · Physics 2022-03-31 Willmor J. Peña Ccoa , Glen M. Hocky

Active solids such as cell collectives, colloidal clusters, and active metamaterials exhibit diverse collective phenomena, ranging from rigid body motion to shape-changing mechanisms. The nonlinear dynamics of such active materials remains…

Soft Condensed Matter · Physics 2024-06-21 Claudio Hernández-López , Paul Baconnier , Corentin Coulais , Olivier Dauchot , Gustavo Düring

The motion involved in barrier crossing for protein folding are investigated in terms of the chain dynamics of the polymer backbone, completing the microscopic description of protein folding presented in the previous paper. Local reaction…

Soft Condensed Matter · Physics 2009-10-31 John J. Portman , Shoji Takada , Peter G. Wolynes

The interaction of the actin cytoskeleton with cell-substrate adhesions is necessary for cell migration. While the trajectories of motile cells have a stochastic character, investigations of cell motility mechanisms rarely elaborate on the…

Quantitative Methods · Quantitative Biology 2019-03-21 Aydar Uatay

Simple two-state folding kinetics of many small single-domain proteins are characterized by chevron plots with linear folding and unfolding arms consistent with a two-state description of equilibrium thermodynamics. This phenomenon is…

Soft Condensed Matter · Physics 2007-05-23 Huseyin Kaya , Hue Sun Chan

The theory of biochemical processes needs simple but realistic models of phenomena underlying microscopic dynamics of proteins. Many experiments performed in the 1980s have demonstrated that within the protein native state, apart from usual…

Condensed Matter · Physics 2007-05-23 Michal Kurzynski

We propose four novel mathematical models, describing the microscopic mechanisms of force generation in the cardiac muscle tissue, which are suitable for multiscale numerical simulations of cardiac electromechanics. Such models are based on…

Subcellular Processes · Quantitative Biology 2021-01-27 Francesco Regazzoni , Luca Dedè , Alfio Quarteroni