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In proliferating epithelia of mammalian skin, cells of irregular polygonal-like shapes pack into complex nearly flat two-dimensional structures that are pliable to deformations. In this work, we employ various sensitive correlation…

Statistical Mechanics · Physics 2016-12-07 Duyu Chen , Wen Yih Aw , Danelle Devenport , Salvatore Torquato

Statistical and mathematical modeling are crucial to describe, interpret, compare and predict the behavior of complex biological systems including the organization of hematopoietic stem and progenitor cells in the bone marrow environment.…

Quantitative Methods · Quantitative Biology 2018-09-07 Walter de Back , Thomas Zerjatke , Ingo Roeder

Developing epithelial tissues coordinate cell proliferation and mechanical forces to achieve proper size and shape. As epithelial cells tightly adhere together to form the confluent tissue, the distribution of cell areas significantly…

Biological Physics · Physics 2026-01-22 Michael F. Staddon , Natalie A. Dye , Marko Popović , Frank Jülicher

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…

Cooperation is prevalent in nature, not only in the context of social interactions within the animal kingdom, but also on the cellular level. In cancer for example, tumour cells can cooperate by producing growth factors. The evolution of…

Populations and Evolution · Quantitative Biology 2018-12-07 Jessie Renton , Karen M. Page

How far is neuroepithelial cell proliferation in the developing central nervous system a deterministic process? Or, to put it in a more precise way, how accurately can it be described by a deterministic mathematical model? To provide tracks…

Analysis of PDEs · Mathematics 2010-05-04 Jean Clairambault , Vladimir Flores , Benoit Perthame , Melina Rapacioli , Edmundo Rofman , Rafael Verdes

We investigate morphologies of proliferating cellular tissue using a newly developed numerical simulation model for mechanical cell division. The model reproduces structures of simple multi-cellular organisms via simple rules for selective…

Soft Condensed Matter · Physics 2018-11-20 Pranav Madhikar , Jan Åström , Björn Baumeier , Mikko Karttunen

The spatiotemporal coordination and regulation of cell proliferation is fundamental in many aspects of development and tissue maintenance. Cells have the ability to adapt their division rates in response to mechanical constraints, yet we do…

Quantitative Methods · Quantitative Biology 2024-04-25 Carles Falcó , Daniel J. Cohen , José A. Carrillo , Ruth E. Baker

Control of cell proliferation is a fundamental aspect of tissue physiology central to morphogenesis, wound healing and cancer. Although many of the molecular genetic factors are now known, the system level regulation of growth is still…

Tissues and Organs · Quantitative Biology 2015-06-03 Alberto Puliafito , Lars Hufnagel , Pierre Neveu , Sebastian Streichan , Alex Sigal , Deborah K. Fygenson , Boris I. Shraiman

In mammals, female germ cells are sheltered within somatic structures called ovarian follicles, which remain in a quiescent state until they get activated, all along reproductive life. We investigate the sequence of somatic cell events…

Cell Behavior · Quantitative Biology 2020-12-10 Frédérique Clément , Frédérique Robin , Romain Yvinec

The dispersal of cells from an initially constrained location is a crucial aspect of many physiological phenomena ranging from morphogenesis to tumour spreading. In such processes, the way cell-cell interactions impact the motion of single…

Epigenetic Tracking is a mathematical model of biological cells, originally conceived to study embryonic development. Computer simulations proved the capacity of the model to generate complex 3-dimensional cellular structures, and the…

Cell Behavior · Quantitative Biology 2015-07-07 Alessandro Fontana

Although random cell complexes occur throughout the physical sciences, there does not appear to be a standard way to quantify their statistical similarities and differences. The various proposals in the literature are usually motivated by…

Computational Geometry · Computer Science 2016-06-15 Benjamin Schweinhart , Jeremy Mason , Robert MacPherson

Coordinated movements of epithelia tissue are linked with active matter processes. We here consider the influence of curvature on the spatiotemporal arrangements and the shapes of the cells. The cells are represented by a multiphase field…

Soft Condensed Matter · Physics 2023-04-18 Lea Happel , Dennis Wenzel , Axel Voigt

Embryonic healing in epithelial tissues is distinct from adult wound healing, as it lacks inflammatory responses or immune cell recruitments, making it ideal to test models of wound healing driven primarily by epithelial dynamics. Many…

Soft Condensed Matter · Physics 2026-03-10 Rafael Almada , Nuno Araújo , Pedro Patrício

Different cell types aggregate and sort into hierarchical architectures during the formation of animal tissues. The resulting spatial organization depends (in part) on the strength of adhesion of one cell type to itself relative to other…

Quantitative Methods · Quantitative Biology 2023-08-02 Dhananjay Bhaskar , William Y. Zhang , Alexandria Volkening , Björn Sandstede , Ian Y. Wong

The majority of solid tumours arise in epithelia and therefore much research effort has gone into investigating the growth, renewal and regulation of these tissues. Here we review different mathematical and computational approaches that…

Tissues and Organs · Quantitative Biology 2019-12-23 O. J. Maclaren , A. G. Fletcher , H. M. Byrne , P. K. Maini

Segregation of different cell types is a crucial process for the pattern formation in tissues, in particular during embryogenesis. Since the involved cell interactions are complex and difficult to measure individually in experiments,…

Cell Behavior · Quantitative Biology 2022-09-21 Florian Franke , Sebatian Aland , Hans-Joachim Böhme , Anja Voss-Böhme , Steffen Lange

As the cover of embryos and adult organisms, epithelial tissues are subjected to substantial mechanical forces in tissue morphogenesis. However, the finite deformation behaviors of epithelial tissues remain largely unexplored. This study…

Biological Physics · Physics 2025-12-29 Yuan He , Shi-Lei Xue

Over the last two decades, scientific literature has been blooming with various means of simulating epithelial cell colonies. Each of these simulations can be separated by their respective efficiency (expressed in terms of consumed…

Computational Physics · Physics 2022-12-20 Kevin Höllring , Ana-Sunčana Smith
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