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A model of the urban agglomeration and segregation is formulated, in which two types of agents move around on the square-lattice aligned cells. The model is shown to exhibit, when the density of agents are varied as the control parameter,…

Physics and Society · Physics 2023-07-24 Taksu Cheon , Michikazu Kobayashi

We consider a system of clusters made of elementary building blocks, monomers, and evolving via collisions between diffusing monomers and immobile composite clusters. In our model, the cluster-monomer collision can lead to the attachment of…

Statistical Mechanics · Physics 2017-10-25 P. L. Krapivsky , W. Otieno , N. V. Brilliantov

Although collective cell migration (CCM) is a highly coordinated and fine-tuned migratory mode, instabilities in the form of cell swirling motion (CSM) often occur. The CSM represents a product of the active turbulence obtained at low…

Tissues and Organs · Quantitative Biology 2021-11-01 Ivana Pajic-Lijakovic , Milan Milivojevic

We present a simple model that describes the motion of a single chemotactic cell exposed to a traveling wave of the chemoattractant. The model incorporates two types of responses to stimulation by the chemoattractant, i.e., change in…

Biological Physics · Physics 2011-10-26 Masatomo Iwasa , Ryosuke Ishiwata

Cells are dynamic systems characterized by temporal variations in biophysical properties such as stiffness and contractility. Recent studies show that the recruitment and release of actin filaments into and out of the cell cortex - a…

Biological Physics · Physics 2023-02-13 Garrett Zills , Trinanjan Datta , Abdul N Malmi-Kakkada

Collective cell migration governs a range of physiological and pathological processes, from tissue morphogenesis to cancer invasion, in which topological defects arise as an inevitable consequence of frequent cellular rearrangement and…

Soft Condensed Matter · Physics 2026-04-01 Jiusi Zhang , Chung Wing Chan , Bo Li , Rui Zhang

Most human tumors result from the accumulation of multiple genetic and epigenetic alterations in a single cell. Mutations that confer a fitness advantage to the cell are known as driver mutations and are causally related to tumorigenesis.…

Probability · Mathematics 2010-07-15 Rick Durrett , Jasmine Foo , Kevin Leder , John Mayberry , Franziska Michor

Collective epithelial migration leverages on topological rearrangements of the intercellular junctions, which allow cells to intercalate without loosing confluency. In silico studies have provided a clear indication that this process could…

Soft Condensed Matter · Physics 2025-02-14 Leonardo Puggioni , Dimitrios Krommydas , Luca Giomi

Myxococcus xanthus cells self-organize into aligned groups, clusters, at various stages of their lifecycle. Formation of these clusters is crucial for the complex dynamic multi-cellular behavior of these bacteria. However, the mechanism…

Biological Physics · Physics 2016-02-17 Rajesh Balagam , Oleg A. Igoshin

Proliferation and motility are ubiquitous drivers of activity in biological systems. Here, we study a dense binary mixture of motile and proliferating particles with exclusively repulsive interactions, where homeostasis in the proliferating…

Soft Condensed Matter · Physics 2025-06-11 Lukas Hupe , Joanna M. Materska , David Zwicker , Ramin Golestanian , Bartlomiej Waclaw , Philip Bittihn

Coherent angular rotation of epithelial cells is thought to contribute to many vital physiological processes including tissue morphogenesis and glandular formation. However, factors regulating this motion, and the implications of this…

Cell Behavior · Quantitative Biology 2016-05-10 S. S. Soumya , Animesh Gupta , Andrea Cugno , Luca Deseri , Kaushik Dayal , Dibyendu Das , Shamik Sen , Mandar M. Inamdar

Contact inhibition plays a crucial role in the motility of cells, the process of wound healing, and the formation of tumors. By mimicking the mechanical motion of calls crawling on a substrate using a pseudopod, we constructed a minimal…

Soft Condensed Matter · Physics 2016-11-28 Simon Kaspar Schnyder , Yuki Tanaka , John Jairo Molina , Ryoichi Yamamoto

Cell migration is a fundamental process involved in physiological phenomena such as the immune response and morphogenesis, but also in pathological processes, such as the development of tumor metastasis. These functions are effectively…

Cell Behavior · Quantitative Biology 2018-12-26 Christèle Etchegaray , Nicolas Meunier

Cancer cells exhibit increased motility and proliferation, which are instrumental in the formation of tumours and metastases. These pathological changes can be traced back to malfunctions of cellular signalling pathways, and calcium…

Cell Behavior · Quantitative Biology 2020-03-03 Katerina Kaouri , Vasiliki Bitsouni , Andreas Buttenschön , Rüdiger Thul

We demonstrate that active rotations in chemically signalling particles, such as autochemotactic {\it E. coli} close to walls, create a route for pattern formation based on a nonlinear yet deterministic instability mechanism. For slow…

Soft Condensed Matter · Physics 2016-08-19 Benno Liebchen , Michael E. Cates , Davide Marenduzzo

Biologists have long observed periodic-like oxygen consumption oscillations in yeast populations under certain conditions and several unsatisfactory explanations for this phenomenon have been proposed. These "autonomous oscillations" have…

Dynamical Systems · Mathematics 2011-12-02 Erik M. Boczko , Tomas Gedeon , Chris C. Stowers , Todd Young

Transitions from quiescence to collective migration in epithelia underlie wound healing and cancer invasion, yet their physical origin remains poorly understood. Here we show that quiescent epithelial monolayers store spatially contractile…

Soft Condensed Matter · Physics 2026-05-25 Richard Ho , Anna Lång , Emma Lång , Stig Ove Bøe , Luiza Angheluta

Cells in tissues can organize into a broad spectrum of structures according to their function. Drastic changes of organization, such as epithelial-mesenchymal transitions or the formation of spheroidal aggregates, are often associated…

Biological Physics · Physics 2016-12-22 Bart Smeets , Ricard Alert , Jiri Pesek , Ignacio Pagonabarraga , Herman Ramon , Romaric Vincent

Many organisms in nature use local interactions to generate global cooperative phenomena. To unravel how the behavior of individuals generates effective interactions within a group, we introduce a simple model, wherein each agent senses the…

Statistical Mechanics · Physics 2024-02-20 Samudrajit Thapa , Bat-El Pinchasik , Yair Shokef

The coupling of the internal mechanisms of cell polarization to cell shape deformations and subsequent cell crawling poses many interdisciplinary scientific challenges. Several mathematical approaches have been proposed to model the…

Cell Behavior · Quantitative Biology 2023-11-08 Eduardo Moreno , Robert Großmann , Carsten Beta , Sergio Alonso
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