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We propose a simple mathematical model to describe the mechanical relaxation of cells within a curved epithelial tissue layer represented by an arbitrary curve in two-dimensional space. This model generalises previous one-dimensional models…

Cellular Automata and Lattice Gases · Physics 2025-01-09 Pascal R. Buenzli , Shahak Kuba , Ryan J. Murphy , Matthew J. Simpson

We demonstrate 'differential dynamic microscopy' (DDM) for the fast, high throughput characterization of the dynamics of active particles. Specifically, we characterize the swimming speed distribution and the fraction of motile cells in…

Quantitative Methods · Quantitative Biology 2011-07-12 Laurence G. Wilson , Vincent A. Martinez , Jana Schwarz-Linek , J. Tailleur , Peter N. Pusey , Gary Bryant , Wilson C. K. Poon

Two types of high-strength composite hydrogels possessing the structure of interpenetrating polymer networks were synthesized via free-radical polymerization of acrylamide carried out straight within the matrix of plant or bacterial…

Chemical Physics · Physics 2019-04-02 Alexander Buyanov , Iosif Gofman , Natalya Saprykina

A stochastic model is used to assess the effect of external parameters on the development of submerged biofilms on smooth and rough surfaces. The model includes basic cellular mechanisms, such as division and spreading, together with an…

Soft Condensed Matter · Physics 2024-01-17 David Rodriguez , Baldvin Einarsson , Ana Carpio

In this paper we present a derivation and multiscale analysis of a mathematical model for plant cell wall biomechanics that takes into account both the microscopic structure of a cell wall coming from the cellulose microfibrils and the…

Analysis of PDEs · Mathematics 2016-01-01 Mariya Ptashnyk , Brian Seguin

A model is presented from which the observed morphology of the inner mitochondrial membrane can be inferred as minimizing the system's free energy. Besides the usual energetic terms for bending, surface area, and pressure difference, our…

Soft Condensed Matter · Physics 2015-05-18 M. Ghochani , J. D. Nulton , P. Salamon , T. G. Frey , A. Rabinovitch , A. R. C. Baljon

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

Cell layers eliminate unwanted cells through the extrusion process, which underlines healthy versus flawed tissue behaviors. Although several biochemical pathways have been identified, the underlying mechanical basis including the forces…

Soft Condensed Matter · Physics 2023-04-20 Siavash Monfared , Guruswami Ravichandran , Jose E. Andrade , Amin Doostmohammadi

We present a continuum model trained on molecular dynamics (MD) simulations for cellular membranes composed of an arbitrary number of lipid types. The model is constructed within the formalism of dynamic density functional theory and can be…

A fundamental question in biology is to understand how patterns and shapes emerge from the collective interplay of large numbers of cells. Cells forming two-dimensional epithelial tissues behave as active materials that undergo remodeling…

Droplets are essential for spatially controlling biomolecules in cells. To work properly, cells need to control the emergence and morphology of droplets. On the one hand, driven chemical reactions can affect droplets profoundly. For…

Soft Condensed Matter · Physics 2024-03-14 Noah Ziethen , David Zwicker

Cell plasma membranes display a dramatically rich structural complexity characterized by functional sub-wavelength domains with specific lipid and protein composition. Under favorable experimental conditions, patterned morphologies can also…

Soft Condensed Matter · Physics 2018-10-02 Nicolas Destainville , Manoel Manghi , Julie Cornet

The collective motion of bacterial cells in a shallow circular pool is systematically studied using the bacterial species $Bacillus$ $subtilis$. The ratio of cell length to pool diameter (i.e., the reduced cell length) ranges from 0.06 to…

Biological Physics · Physics 2015-10-06 Jun-ichi Wakita , Shota Tsukamoto , Ken Yamamoto , Makoto Katori , Yasuyuki Yamada

Metabolic substrates, such as oxygen and glucose, are rapidly delivered to the cell through filtration across microvessels walls. Modelling this important process is complicated by the coupling between flow and transport equations, which…

Subcellular Processes · Quantitative Biology 2013-08-12 Laura Facchini , Alberto Bellin , Eleuterio F. Toro

Biological cells can actively tune their intracellular architecture according to their overall shape. Here we explore the rheological implication of such coupling in a minimal model of a dense cellular material where each cell exerts an…

Soft Condensed Matter · Physics 2022-04-13 Shao-Zhen Lin , Matthias Merkel , Jean-François Rupprecht

Hydrodynamics and confinement dominate bacterial mobility near solid or air-water boundaries, causing flagellated bacteria to move in circular trajectories. This phenomenon results from the counter-rotation between the bacterial body and…

Biological Physics · Physics 2018-10-09 George Araujo , Weijie Chen , Sridhar Mani , Jay X. Tang

Turbulence is ubiquitous, from oceanic currents to small-scale biological and quantum systems. Self-sustained turbulent motion in microbial suspensions presents an intriguing example of collective dynamical behavior amongst the simplest…

We consider a minimal computational model of tissue dynamics with two active ingredients: local particle division and apoptosis. We neglect other non-equilibrium effects such as self-propulsion. We simulated the steady state dynamics inside…

Soft Condensed Matter · Physics 2021-09-29 Emma Mitchell , Elsen Tjhung

The initiation of directional cell motion requires symmetry breaking that can happen both with or without external stimuli. During cell crawling, forces generated by the cytoskeleton and their transmission through mechanosensitive adhesions…

Cell Behavior · Quantitative Biology 2023-06-02 Yuzhu Chen , David Saintillan , Padmini Rangamani

Convergent extension of epithelial tissue is a key motif of animal morphogenesis. On a coarse scale, cell motion resembles laminar fluid flow; yet in contrast to a fluid, epithelial cells adhere to each other and maintain the tissue layer…

Biological Physics · Physics 2024-10-04 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman
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