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We present a theory of pattern formation in growing domains inspired by biological examples of tissue development. Gradients of signaling molecules regulate growth, while growth changes these graded chemical patterns by dilution and…

Rigidity transitions in simple models of confluent cells have been a powerful organizing principle in understanding the dynamics and mechanics of dense biological tissue. In this work we explore the interplay between geometry and rigidity…

Soft Condensed Matter · Physics 2020-07-08 Daniel M. Sussman

Force transmission at large length scales is crucial for such biological functions as cell motility and morphogenesis. The networks that transmit these forces are malleable, patterned by active forces generated at the microscale by…

Biological Physics · Physics 2025-11-27 Kanaya Malakar , Albert Countryman , Bulbul Chakraborty

A powerful experimental approach for investigating computation in networks of biological neurons is the use of cultured dissociated cortical cells grown into networks on a multi-electrode array. Such preparations allow investigation of…

Neurons and Cognition · Quantitative Biology 2008-05-23 M. Stiber , F. Kawasaki , D. Xu

The morphogenesis of cells and tissues involves an interplay between chemical signals and active forces on their surrounding surface layers. The complex interaction of hydrodynamics and material flows on such active surfaces leads to…

Cell Behavior · Quantitative Biology 2023-06-30 Sebastian Aland , Claudia Wohlgemuth

During the early-stages of embryo development, morphogenesis--- the emergence of shape and form in living organisms--- is almost exclusively associated with monolayers of tightly bound epithelial cells. To understand how such tissues change…

Soft Condensed Matter · Physics 2019-08-28 Richard G. Morris , Madan Rao

The technique presented here identifies tethered mould designs, optimised for growing cultured tissue with very highly-aligned cells. It is based on a microscopic biophysical model for polarised cellular hydrogels. There is an unmet need…

Biological Physics · Physics 2023-06-26 James P. Hague , Allison E. Andrews , Hugh Dickinson

Cells forming various epithelial tissues have a strikingly universal distribution for the number of their edges. It is generally assumed that this topological feature is predefined by the statistics of individual cell divisions in growing…

Dynamics maintaining diversity of cell types in a multi-cellular system are studied in relationship with the plasticity of cellular states. By adopting a simple theoretical framework for intra-cellular chemical reaction dynamics with…

Cell Behavior · Quantitative Biology 2007-05-23 Hiroaki Takagi , Kunihiko Kaneko

Graph-based representation approaches have been proven to be successful in the analysis of biomedical data, due to their capability of capturing intricate dependencies between biological entities, such as the spatial organization of…

Machine Learning · Computer Science 2023-10-11 Manuel Madeira , Dorina Thanou , Pascal Frossard

Biological cells in soft materials can be modeled as anisotropic force contraction dipoles. The corresponding elastic interaction potentials are long-ranged ($\sim 1/r^3$ with distance $r$) and depend sensitively on elastic constants,…

Soft Condensed Matter · Physics 2009-11-07 U. S. Schwarz , S. A. Safran

A long-standing challenge is designing multi-scale structures with good connectivity between cells while optimizing each cell to reach close to the theoretical performance limit. We propose a new method for direct multi-scale topology…

Neural and Evolutionary Computing · Computer Science 2025-02-21 Hongrui Chen , Xingchen Liu , Levent Burak Kara

Cellular structures must organize themselves within strict physical constraints, operating with finite resources and well-defined boundaries. Classical systems demonstrate only passive responses to boundaries, from surface energy…

The maintenance of tissue and organ structures during dynamic homeostasis is often not well understood. In order for a system to be stable, cell renewal, cell migration and cell death must be finely balanced. Moreover, a tissue's shape must…

Tissues and Organs · Quantitative Biology 2022-05-11 Domenic P. J. Germano , Stuart T. Johnston , Edmund J. Crampin , James M. Osborne

In this survey article, a variety of systems modeling tumor growth are discussed. In accordance with the hallmarks of cancer, the described models incorporate the primary characteristics of cancer evolution. Specifically, we focus on…

Dynamical Systems · Mathematics 2023-03-21 Marvin Fritz

Studying cell morphology changes in time is critical to understanding cell migration mechanisms. In this work, we present a deep learning-based workflow to segment cancer cells embedded in 3D collagen matrices and imaged with phase-contrast…

Computer Vision and Pattern Recognition · Computer Science 2021-12-17 Estibaliz Gómez-de-Mariscal , Hasini Jayatilaka , Özgün Çiçek , Thomas Brox , Denis Wirtz , Arrate Muñoz-Barrutia

Effective wound repair treatments rely on a clear picture of how cell proliferation and migration are coordinated during tissue restoration. Fibroblasts are key contributors to tissue restoration in the dermis, and modern imaging tools…

Cell Behavior · Quantitative Biology 2026-03-03 Erik Blom , Qiyao Peng , Leah Pomfret , Richard Mort , Stefan Engblom

Cell invasion and spatial pattern formation are two distinct manifestations of cellular self-organisation in development, regeneration, and disease. Here, we develop and analyse a unified theoretical framework that links these two seemingly…

Tissues and Organs · Quantitative Biology 2026-04-30 Carles Falcó , Samuel W. S. Johnson , Mohit P. Dalwadi , Philip K. Maini

Based on numerical simulation and local stability analysis we describe the structure of the phase space of the edge/triangle model of random graphs. We support simulation evidence with mathematical proof of continuity and discontinuity for…

Combinatorics · Mathematics 2017-10-25 Richard Kenyon , Charles Radin , Kui Ren , Lorenzo Sadun

Cell neighbor exchanges play a critical role in regulating tissue fluidity during epithelial morphogenesis and repair. In vivo, these neighbor exchanges are often hindered by the formation of transiently stable four-fold vertices, which can…

Biological Physics · Physics 2023-10-17 Fernanda Pérez-Verdugo , Shiladitya Banerjee