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Control of the cytoskeleton and mechanical contacts with the extracellular environment are essential component of motility in eukaryotic cells. In the absence of signals, cells continuously rebuild the cytoskeleton and periodically extend…

Cell Behavior · Quantitative Biology 2013-09-27 Varunyu Khamviwath , Hans G. Othmer

The motion of a eukaryotic cell presents a variety of interesting and challenging problems from both a modeling and a computational perspective. The processes span many spatial scales (from molecular to tissue) as well as disparate time…

Cell Behavior · Quantitative Biology 2010-11-25 Ben Vanderlei , James J. Feng , Leah Edelstein-Keshet

Chemotactic cells establish cell polarity in the absence of external guidance cues. Such self-organized polarity is induced by spontaneous symmetry breaking in the intracellular activities, which produces an emergent memory effect…

Cell Behavior · Quantitative Biology 2015-06-16 Tetsuya Hiraiwa , Akihiro Nagamatsu , Naohiro Akuzawa , Masatoshi Nishikawa , Tatsuo Shibata

Many cellular processes require a polarization axis which generally initially emerges as an inhomogeneous distribution of molecular markers in the cell. We present a simple analytical model of a general mechanism of cell polarization taking…

Cell Behavior · Quantitative Biology 2009-10-21 Rhoda J. Hawkins , Olivier Benichou , Matthieu Piel , Raphael Voituriez

During cell migration, cells become polarized, change their shape, and move in response to various internal and external cues. Cell polarization is defined through the spatio-temporal organization of molecules such as PI3K or small GTPases,…

Biological Physics · Physics 2016-07-07 Fabian Spill , Vivi Andasari , Michael Mak , Roger D. Kamm , Muhammad H. Zaman

Eukaryotic cells respond to a chemoattractant gradient by forming intracellular gradients of signaling molecules that reflect the extracellular chemical gradient - an ability called directional sensing. Quantitative experiments have…

Cell Behavior · Quantitative Biology 2017-02-08 Keita Kamino , Yohei Kondo

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

Several cellular activities, such as directed cell migration, are coordinated by an intricate network of biochemical reactions which lead to a polarised state of the cell, in which cellular symmetry is broken, causing the cell to have a…

Cell Behavior · Quantitative Biology 2018-09-13 Davide Cusseddu , Leah Edelstein-Keshet , John A. Mackenzie , Stéphanie Portet , Anotida Madzvamuse

Various molecules exclusively accumulate at the front or back of migrating eukaryotic cells in response to a shallow gradient of extracellular signals. Directional sensing and signal amplification highlight the essential properties in the…

Cell Behavior · Quantitative Biology 2015-06-26 Mikiya Otsuji , Shuji Ishihara , Carl Co , Kozo Kaibuchi , Atsushi Mochizuki , Shinya Kuroda

Cued and un-cued cell polarization is a fundamental mechanism in cell biology. As an alternative to the classical Turing bifurcation, it has been proposed that the cell polarity might onset by means of the well-known phenomenon of…

Molecular Networks · Quantitative Biology 2015-06-12 Sebastiano de Franciscis , Alberto d'Onofrio

We propose a model for cell polarization as a response to an external signal which results in a system of PDEs for different variants of a protein on the cell surface and interior respectively. We study stationary states of this model in…

Analysis of PDEs · Mathematics 2019-02-18 Barbara Niethammer , Matthias Röger , Juan J. L. Velázquez

We study a generic model for the polarisation and motility of self-propelled soft objects, biological cells or biomimetic systems, interacting with a viscous substrate. The active forces generated by the cell on the substrate are modelled…

Soft Condensed Matter · Physics 2015-06-23 M. Leoni , P. Sens

Cells are constantly exposed to diverse stimuli-chemical, mechanical, or electrical-that guide their movement. In physiological conditions, these signals often overlap, as seen during infections, where neutrophils and dendritic cells…

Biological Physics · Physics 2026-03-25 Emiliano Perez Ipiña , Brian A. Camley

Migrating cells possess intracellular gradients of Rho GTPases, but it is unknown whether these shallow gradients themselves can induce motility. Here we describe a new method to present cells with induced linear gradients of active,…

When it is polarised, a cell develops an asymmetric distribution of specific molecular markers, cytoskeleton and cell membrane shape. Polarisation can occur spontaneously or be triggered by external signals, like gradients of signalling…

Analysis of PDEs · Mathematics 2013-01-18 Vincent Calvez , Nicolas Meunier , Nicolas Muller , Raphael Voituriez

Eukaryotic cells possess a sensible chemical compass allowing them to orient toward sources of soluble chemicals. The extracellular chemical signal triggers separation of the cell membrane into two domains populated by different…

Statistical Mechanics · Physics 2009-11-13 A. Gamba , I. Kolokolov , V. Lebedev , G. Ortenzi

The polarisation of cells and tissues is fundamental for tissue morphogenesis during biological development and regeneration. A deeper understanding of biological polarity pattern formation can be gained from the consideration of pattern…

Cell Behavior · Quantitative Biology 2017-10-23 Karl B. Hoffmann , Anja Voss-Böhme , Jochen C. Rink , Lutz Brusch

A cell is polarised when it has developed a main axis of organisation through the reorganisation of its cytosqueleton and its intracellular organelles. Polarisation can occur spontaneously or be triggered by external signals, like gradients…

Analysis of PDEs · Mathematics 2013-01-17 Vincent Calvez , Nicolas Meunier , Nicolas Muller , Raphael Voituriez

The clarification of the motion alignment mechanism in collective cell migration is an important issue commonly in physics and biology. In analogy with the self-propelled disk, the polarity memory effect of eukaryotic cell is a fundamental…

Cell Behavior · Quantitative Biology 2019-10-02 Katsuyoshi Matsushita , Kazuya Horibe , Naoya Kamamoto , Koichi Fujimoto

Cell polarization is a critical process that separates molecular species into two distinct regions in prokaryotic and eukaryotic cells, guiding biological processes such as cell division and cell differentiation. Although several underlying…

Molecular Networks · Quantitative Biology 2025-01-28 Yixuan Chen , Guoye Guan , Lei-Han Tang , Chao Tang
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