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A big challenge in current biology is to understand the exact self-organization mechanism underlying complex multi-physics coupling developmental processes. With multiscale computations of from subcellular gene expressions to cell…

Cell Behavior · Quantitative Biology 2021-05-18 Xiaoliang Wang , Dongyun Bai

We study the effect of correlations in generation times on the dynamics of population growth of microorganisms. We show that any non-zero correlation that is due to cell-size regulation, no matter how small, induces long-term oscillations…

Populations and Evolution · Quantitative Biology 2019-03-27 Farshid Jafarpour

We take up the challenge of designing realistic computational models of large interacting cell populations. The goal is essentially to bring Gillespie's celebrated stochastic methodology to the level of an interacting population of cells.…

Computational Engineering, Finance, and Science · Computer Science 2018-10-26 Stefan Engblom

We introduce two 2D mechanical models reproducing the evolution of two viscous tissues in contact. Their main property is to model the swirling cell motions while keeping the tissues segregated, as observed during vertebrate embryo…

Analysis of PDEs · Mathematics 2022-03-25 Pierre Degond , Sophie Hecht , Michèle Romanos , Ariane Trescases

Cells control their size to cope with noise during growth and division. Eukaryotic cells exhibiting "sizer" control (targeting a specific size before dividing) may rely on molecular concentration thresholds, but simple implementations of…

Biological Physics · Physics 2026-05-08 Motasem ElGamel , Lucas Ribaudo , Andrew Mugler

Integrating experimental data into ecological models plays a central role in understanding biological mechanisms that drive tumor progression where such knowledge can be used to develop new therapeutic strategies. While the current studies…

Biological Physics · Physics 2021-04-21 Youness Azimzade , Abbas Ali Saberi , Robert A. Gatenby

Vegetation patterns, a natural phenomenon observed worldwide, are typically driven by spatially distributed feedback. However, the spatial colonization mechanisms of clonal plants, driven by the growth of a rhizome, are usually not…

Populations and Evolution · Quantitative Biology 2020-07-01 Daniel Ruiz-Reynés , Francesca Schönsberg , Emilio Hernández-García , Damià Gomila

We use a model whose rules were inspired by population genetics, the random capability growth model, to describe the statistical details observed in experiments of fragmentation of brittle platelike objects, and in particular the existence…

Statistical Mechanics · Physics 2016-12-21 M. A. F. Gomes , Viviane M. de Oliveira

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

To understand how the mechanical properties of tissues emerge from interactions of multiple cells, we measure traction stresses of cohesive colonies of 1-27 cells adherent to soft substrates. We find that traction stresses are generally…

Cell growth, division and death are defining features of biological tissues that contribute to morphogenesis. In hydrodynamic descriptions of cohesive tissues, their occurrence implies a non-zero rate of variation of cell density. We show…

Tissues and Organs · Quantitative Biology 2017-08-23 Shunsuke Yabunaka , Philippe Marcq

Development combines three basic processes asymmetric --- cell division, signaling and gene regulation --- in a multitude of ways to create an overwhelming diversity of multicellular life-forms. Here, we attempt to chart this diversity…

Molecular Networks · Quantitative Biology 2020-01-01 Somya Mani , Tsvi Tlusty

Most microorganisms regulate their cell size. We review here some of the mathematical formulations of the problem of cell size regulation. We focus on coarse-grained stochastic models and the statistics they generate. We review the…

Cell Behavior · Quantitative Biology 2018-01-03 Po-Yi Ho , Jie Lin , Ariel Amir

Based on symmetry consideration of migration and shape deformations, we formulate phenomenologically the dynamics of cell crawling in two dimensions. Forces are introduced to change the cell shape. The shape deformations induce migration of…

Biological Physics · Physics 2016-03-23 Takao Ohta , Mitsusuke Tarama , Masaki Sano

The growth and scaling of organs is a fundamental aspect of animal development. However, how organs grow to the right size and shape required by physiological demands, remains largely unknown. Here, we provide a framework combining theory…

Biological Physics · Physics 2026-02-04 Christian Hanauer , Amrutha Palavalli , Baiqun An , Efe Ilker , Jochen C. Rink , Frank Jülicher

The simulation of growth processes within soft biological tissues is of utmost importance for many applications in the medical sector. Within this contribution we propose a new macroscopic approach fro modelling stress-driven volumetric…

Computational Engineering, Finance, and Science · Computer Science 2022-01-21 L. Lamm , H. Holthusen , T. Brepols , S. Jockenhövel , S. Reese

Mechanical interactions among cells in a growing microbial colony can significantly influence the colony's spatial genetic structure and, thus, evolutionary outcomes such as the fates of rare mutations. Here, we computationally investigate…

Soft Condensed Matter · Physics 2025-01-22 Mateusz Ratman , Jimmy Gonzalez Nuñez , Daniel A. Beller

Morphogenesis of complex body shapes is reproducible despite the noise inherent in the underlying morphogenetic processes. However, how these morphogenetic processes work together to achieve this reproducibility remains unclear. Here, we…

Cell Behavior · Quantitative Biology 2025-12-24 Dominic K Devlin , Austen RD Ganley , Nobuto Takeuchi

Ever since the ground breaking work of Trepat et al. in 2009, we know that cell colonies growing on a substrate can be under tensile mechanical stress. The origin of tension has so far been attributed to cellular motility forces being…

Biological Physics · Physics 2025-02-07 Chenyun Yao , Jens Elgeti

Collective cell migration is a key driver of embryonic development, wound healing, and some types of cancer invasion. Here we provide a physical perspective of the mechanisms underlying collective cell migration. We begin with a catalogue…

Biological Physics · Physics 2019-10-08 Ricard Alert , Xavier Trepat