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Many types of cells are able to accurately sense shallow gradients of chemicals across their diameters, allowing the cells to move towards or away from chemical sources. This chemotactic ability relies on the remarkable capacity of cells to…

Cell Behavior · Quantitative Biology 2015-05-13 Robert G. Endres , Ned S. Wingreen

This paper gives an in-depth theoretical analysis of the direction and speed selectivity properties of idealized models of the spatio-temporal receptive fields of simple cells and complex cells, based on the generalized Gaussian derivative…

Neurons and Cognition · Quantitative Biology 2026-01-15 Tony Lindeberg

Essentially all biology is active and dynamic. Biological entities autonomously sense, com- pute, and respond using energy-coupled ratchets that can produce force and do work. The cytoskeleton, along with its associated proteins and motors,…

Soft Condensed Matter · Physics 2017-03-28 Kasimira T. Stanhope , Vikrant Yadav , Christian D. Santangelo , Jennifer L. Ross

We present a generic model of cell motility generated by acto-myosin contraction of the cell cortex. We identify analytically dynamical instabilities of the cortex and show that they trigger spontaneous cortical flows which in turn can…

Cell Behavior · Quantitative Biology 2015-05-20 R. J. Hawkins , R. Poincloux , O. Bénichou , M. Piel , P. Chavrier , R. Voituriez

Cell motility in higher organisms (eukaryotes) is crucial to biological functions ranging from wound healing to immune response, and also implicated in diseases such as cancer. For cells crawling on hard surfaces, significant insights into…

Soft Condensed Matter · Physics 2015-06-24 E. Tjhung , A. Tiribocchi , D. Marenduzzo , M. E. Cates

Cells move by run and tumble, a kind of dynamics in which the cell alternates runs over straight lines and re-orientations. This erratic motion may be influenced by external factors, like chemicals, nutrients, the extra-cellular matrix, in…

Cell Behavior · Quantitative Biology 2019-07-02 Nadia Loy , Luigi Preziosi

Collective cell migration plays an essential role in vertebrate development, yet the extent to which dynamically changing microenvironments influence this phenomenon remains unclear. Observations of the distribution of the extracellular…

The combination of protrusions and retractions in the movement of polarized cells leads to understand the effect of possible synchronisation between the two ends of the cells. This synchronisation, in turn, could lead to different dynamics…

Cell Behavior · Quantitative Biology 2021-09-21 Gissell Estrada-Rodriguez , Benoit Perthame

A classical problem describing the collective motion of cells, is the movement driven by consumption/depletion of a nutrient. Here we analyze one of the simplest such model written as a coupled Partial Differential Equation/Ordinary…

Analysis of PDEs · Mathematics 2022-09-02 Pierre-Emmanuel Jabin , Benoît Perthame

Collective cell migration in epithelia relies on cell intercalation: a local remodelling of the cellular network that allows neighbouring cells to swap their positions. Unlike foams and passive cellular fluid, in epithelial intercalation…

Soft Condensed Matter · Physics 2025-10-31 Dimitrios Krommydas , Livio Nicola Carenza , Luca Giomi

Collagen fibers, an important component of the extracellular matrix (ECM), can both inhibit and promote cellular migration. {\it In-vitro} studies have revealed that the fibers' orientations are crucial to cellular invasion, while {\it…

Cell Behavior · Quantitative Biology 2019-07-01 Youness Azimzade , Abbas Ali Saberi , Muhammad Sahimi

The ability of many living systems to actively self-propel underlies critical biomedical, environmental, and industrial processes. While such active transport is well-studied in uniform settings, environmental complexities such as geometric…

Biological Physics · Physics 2021-08-23 Alejandro Martínez-Calvo , Carolina Trenado-Yuste , Sujit S. Datta

In the Drosophila melanogaster egg chamber, the collective migration of border cells toward the oocyte is guided by spatial gradients of chemoattractants. While cellular responses to these cues are well characterized, the spatial…

Analysis of PDEs · Mathematics 2026-04-03 Naghmeh Akhavan , Alexander George , Michelle Starz-Gaiano , Bradford E. Peercy

The motility of a cell can be triggered or inhibited not only by an applied force but also by a mechanically neutral force couple. This type of loading, represented by an applied stress and commonly interpreted as either squeezing or…

Soft Condensed Matter · Physics 2018-01-24 Thibaut Putelat , Pierre Recho , Lev Truskinovsky

Interactions between crawling cells, which are essential for many biological processes, can be quantified by measuring cell-cell collisions. Conventionally, experiments of cell-cell collisions are conducted on two-dimensional flat…

Biological Physics · Physics 2025-10-24 Yongtian Luo , Amrinder S. Nain , Brian A. Camley

Intracellular transport is essential for maintaining proper cellular function in most eukaryotic cells, with perturbations in active transport resulting in several types of disease. Efficient delivery of critical cargos to specific…

Biological Physics · Physics 2016-08-16 David Ando , Nickolay Korabel , Kerwyn Casey Huang , Ajay Gopinathan

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

Amoeboid cell migration is characterized by frequent changes of the direction of motion and resembles a persistent random walk on long time scales. Although it is well known that cell migration is typically driven by the actin cytoskeleton,…

Biological Physics · Physics 2021-06-09 Nicolas Ecker , Karsten Kruse

Cell polarity and movement are fundamental to many biological functions. Experimental and theoretically studies have indicated that interactions of certain proteins lead to the cell polarization which plays a key role in controlling the…

Dynamical Systems · Mathematics 2022-08-12 Shuang Liu , Li-Tien Cheng , Bo 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
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