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Amoeboid motion is a dynamic mode of cell motility essential for processes such as the immune response and wound healing. This review examines recent developments in the mathematical and computational modeling of amoeboid crawling, focusing…

生物物理 · 物理学 2026-03-17 Sergio Alonso , Carsten Beta

Cell migration plays a fundamental role in numerous physiological processes, including embryonic development, wound healing, and cancer metastasis. While cell-cell adhesion is known to regulate motion by shaping cell morphology and…

生物物理 · 物理学 2026-03-09 Anh Q. Nguyen , Pradip K. Bera , Jacob Notbohm , Dapeng Bi

The migratory dynamics of cells in physiological processes, ranging from wound healing to cancer metastasis, rely on contact-mediated cell-cell interactions. These interactions play a key role in shaping the stochastic trajectories of…

Stochastic agent-based models can account for millions of cells with spatiotemporal movement that can be a function of different factors. However, these simulations can be computationally expensive. In this work, we develop a novel…

数值分析 · 数学 2019-09-11 Michael A. Yereniuk , Sarah D. Olson

The collective chemotaxis of multicellular clusters is an important phenomenon in various physiological contexts, ranging from embryonic development to cancer metastasis. Such clusters often display interesting shape dynamics and…

组织与器官 · 定量生物学 2025-06-03 Monika Sanoria , Gema Malet-Engra , Giorgio Scita , Nir Gov , Ajay Gopinathan

The dynamics of active matter driven by interacting molecular motors has a non-potential structure at the local scale. However, we show that there exists a quasi-potential effectively describing the collective self-organization of the…

生物物理 · 物理学 2022-06-15 Haythem Chelly , Pierre Recho

The space-time dynamics of rigid inhomogeneities (inclusions) free to move in a randomly fluctuating fluid bio-membrane is derived and numerically simulated as a function of the membrane shape changes. Both vertically placed (embedded)…

计算物理 · 物理学 2007-05-23 H. Rafii-Tabar , H. R. Sepangi

We give a description of cell diffusion in a soft tissue, paying special attention to the coupling of force, matter, and microforce balance laws through a suitable dissipation principle. To this end, we cast our framework into a multi-level…

软凝聚态物质 · 物理学 2024-12-19 Amabile Tatone , Filippo Recrosi , Giuseppe Tomassetti

The mechanics of crawling cells on a substrate is investigated by using a minimal model that satisfies the force-free condition. A cell is described by two subcellular elements connected by a linear actuator that changes the length of the…

软凝聚态物质 · 物理学 2018-04-18 Mitsusuke Tarama , Ryoichi Yamamoto

The motility of eukaryotic cells is strongly influenced by their environment, with confined cells often developing qualitatively different motility patterns from those migrating on simple two-dimensional substrates. Recent experiments,…

细胞行为 · 定量生物学 2024-12-24 Pedrom Zadeh , Brian A. Camley

The dynamic interplay between collective cell movement and the various molecules involved in the accompanying cell signalling mechanisms plays a crucial role in many biological processes including normal tissue development and pathological…

细胞行为 · 定量生物学 2016-07-20 Pia Domschke , Dumitru Trucu , Alf Gerisch , Mark A. J. Chaplain

Bacterial cells exhibit a diverse array of shapes and sizes, largely governed by their cell walls in conjunction with cytoskeletal proteins and internal turgor pressure. The present study develops a theoretical framework for modeling the…

生物物理 · 物理学 2024-09-25 Joydip Chaudhuri

Biological cells are able to adapt their behaviour in response to environmental cues. Durotaxis is a phenomenon in which cells adjust their migration depending on the mechanical properties of a surrounding substrate. Although durotaxis has…

生物物理 · 物理学 2026-05-11 Sohei Nakamura , Mitsusuke Tarama

Phenotypic variation is a hallmark of cellular physiology. Metabolic heterogeneity, in particular, underpins single-cell phenomena such as microbial drug tolerance and growth variability. Much research has focussed on transcriptomic and…

分子网络 · 定量生物学 2019-01-31 Mona K. Tonn , Philipp Thomas , Mauricio Barahona , Diego A Oyarzún

Biological tissues have been observed to display emergent fluid-like properties, owing to physical interactions between cells. However, it remains unclear in general how these fluid-like properties affect tissue structure and function.…

软凝聚态物质 · 物理学 2026-02-24 Giulia L. Celora , Benjamin J. Walker , Mohit P. Dalwadi , Philip Pearce

The behaviour of an organism often reflects a strategy for coping with its environment. Such behaviour in higher organisms can often be reduced to a few stereotyped modes of movement due to physiological limitations, but finding such modes…

细胞行为 · 定量生物学 2013-08-26 Luke Tweedy , Börn Meier , Jürgen Stephan , Doris Heinrich , Robert G. Endres

The chemotactic pathway allows bacteria to respond and adapt to environmental changes, by tuning the tumbling and running motions that are due to clockwise and counterclockwise rotations of their flagella. The pathway is tightly regulated…

分子网络 · 定量生物学 2009-10-09 Daniela Besozzi , Paolo Cazzaniga , Matteo Dugo , Dario Pescini , Giancarlo Mauri

Chemical signaling is one of the ubiquitous mechanisms by which inter-cellular communication takes place at the microscopic level, particularly via chemotaxis. Such multi-cellular systems are popularly studied using continuum, mean-field…

细胞行为 · 定量生物学 2009-11-11 Ramon Grima

Cell motility is one of the most fundamental phenomena underlying biological processes that maintain living organisms alive. Here we introduce a simple model to describe the motility of cells which include not only time-correlated internal…

生物物理 · 物理学 2022-07-13 T. N. Azevedo , L. G. Rizzi

A model of multicellular systems with several types of cells is developed from the phase field model. The model is presented as a set of partial differential equations of the field variables, each of which expresses the shape of one cell.…

生物物理 · 物理学 2015-05-30 Makiko Nonomura