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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…

动力系统 · 数学 2022-08-12 Shuang Liu , Li-Tien Cheng , Bo Li

Cell migration plays essential roles in development, wound healing, diseases, and in the maintenance of a complex body. Experiments in collective cell migration generally measure quantities such as cell displacement and velocity. The…

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…

偏微分方程分析 · 数学 2013-01-17 Vincent Calvez , Nicolas Meunier , Nicolas Muller , Raphael Voituriez

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…

偏微分方程分析 · 数学 2013-01-18 Vincent Calvez , Nicolas Meunier , Nicolas Muller , Raphael Voituriez

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…

细胞行为 · 定量生物学 2017-10-23 Karl B. Hoffmann , Anja Voss-Böhme , Jochen C. Rink , Lutz Brusch

Ordered polarity alignment of a cell population plays a vital role in biology, such as in hair follicle alignment and asymmetric cell division. Here, we propose a theoretical framework for the understanding of generic dynamical properties…

斑图形成与孤子 · 物理学 2016-12-13 Kaori Sugimura , Hiroshi Kori

Recent advancements in the ability to construct three-dimensional (3D) tissues and organoids from stem cells and biomaterials have not only opened abundant new research avenues in disease modeling and regenerative medicine but also have…

组织与器官 · 定量生物学 2017-07-27 Richard J. McMurtrey

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…

细胞行为 · 定量生物学 2010-11-25 Ben Vanderlei , James J. Feng , Leah Edelstein-Keshet

The migratory dynamics of cells can be influenced by the complex micro-environment through which they move. It remains unclear how the motility machinery of confined cells responds and adapts to their micro-environment. Here, we propose a…

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…

细胞行为 · 定量生物学 2009-10-21 Rhoda J. Hawkins , Olivier Benichou , Matthieu Piel , Raphael Voituriez

This paper studies a bulk-surface reaction-diffusion system for cell polarization in two-dimensional domains. The model describes the formation of localized patterns through the wave-pinning mechanism, while explicitly incorporating the…

偏微分方程分析 · 数学 2026-05-12 Riku Watanabe

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…

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…

偏微分方程分析 · 数学 2019-02-18 Barbara Niethammer , Matthias Röger , Juan J. L. Velázquez

Cell migration in confining physiological environments relies on the concerted dynamics of several cellular components, including protrusions, adhesions with the environment, and the cell nucleus. However, it remains poorly understood how…

Planar cell polarity (PCP), the coherent in-plane polarization of a tissue on multicellular length scales, provides directional information that guides a multitude of developmental processes at cellular and tissue levels. While it is…

生物物理 · 物理学 2020-07-01 Shahriar Shadkhoo , Madhav Mani

Some dividing cells sense their shape by becoming polarized along their long axis. Cell polarity is controlled in part by polarity proteins like Rho GTPases cycling between active membrane-bound forms and inactive cytosolic forms, modeled…

生物物理 · 物理学 2022-09-13 Amit R. Singh , Travis Leadbetter , Brian A. Camley

Intracellular protein patterns regulate a variety of vital cellular processes such as cell division and motility, which often involve dynamic changes of cell shape. These changes in cell shape may in turn affect the dynamics of…

斑图形成与孤子 · 物理学 2023-07-19 Laeschkir Würthner , Andriy Goychuk , Erwin Frey

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…

生物物理 · 物理学 2025-10-24 Yongtian Luo , Amrinder S. Nain , Brian A. Camley

Cells collectively migrate as a cluster in three-dimensional (3D) tissues, such as in embryogenesis and cancer invasion. Here, numerical simulations using a 3D vertex model show that polarized interfacial tension, expressing cell adhesion…

生物物理 · 物理学 2022-05-10 Satoru Okuda , Katsuhiko Sato

How the cells break symmetry and organize their edge activity to move directionally is a fun- damental question in cell biology. Physical models of cell motility commonly rely on gradients of regulatory factors and/or feedback from the…

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