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A continuum model of epithelial tissue mechanics was formulated using cellular-level mechanical ingredients and cell morphogenetic processes, including cellular shape changes and cellular rearrangements. This model can include finite…

Tissues and Organs · Quantitative Biology 2017-09-06 Shuji Ishihara , Philippe Marcq , Kaoru Sugimura

Morphogenesis, the process by which an adult organism emerges from a single cell, has fascinated humans for a long time. Modelling this process can provide novel insights into development and the principles that orchestrate the…

Tissues and Organs · Quantitative Biology 2018-06-13 M. D. Peters , L. D. Wittwer , A. Stopka , D. Barac , C. Lang , D. Iber

In silico, cell based approaches for modeling biological morphogenesis are used to test and validate our understanding of the biological and mechanical process that are at work during the growth and the organization of multi-cell tissues.…

Biological Physics · Physics 2026-01-06 Raphaël Conradin , Christophe Coreixas , Jonas Latt , Bastien Chopard

How morphogenesis depends on cell properties is an active direction of research. Here, we focus on mechanical models of growing plant tissues, where microscopic (sub)cellular structure is taken into account. In order to establish links…

Analysis of PDEs · Mathematics 2023-11-21 Arezki Boudaoud , Annamaria Kiss , Mariya Ptashnyk

Much of our mechanistic understanding of the functions of biological macromolecules is based on static structural experiments, which can be modelled either as single structures or conformational ensembles. While these provide us with…

Biomolecules · Quantitative Biology 2025-10-02 Daria Gusew , Carl G. Henning Hansen , Kresten Lindorff-Larsen

The organization of cells within tissues plays a vital role in various biological processes, including development and morphogenesis. As a result, understanding how cells self-organize in tissues has been an active area of research. In our…

Soft Condensed Matter · Physics 2023-10-09 Kanaya Malakar , Rafael I. Rubenstein , Dapeng Bi , Bulbul Chakraborty

The importance of molecular-scale forces in sculpting biological form and function has been acknowledged for more than a century. Accounting for forces in biology is a problem that lies at the intersection of soft condensed matter physics,…

Soft Condensed Matter · Physics 2025-12-10 K. Vijay Kumar , Mandar M. Inamdar , Pramod A. Pullarkat , Gautam I. Menon

Purpose: From the myofibrils to the whole muscle scale, muscle micro-constituents exhibit passive and active mechanical properties, potentially coupled to electrical, chemical, and thermal properties. Experimental characterization of some…

Medical Physics · Physics 2024-06-25 Aude Loumeaud , Philippe Pouletaut , Sabine Bensamoun , Daniel George , Simon Chatelin

The applicability of computational and dynamical systems models to organisms is scrutinized, using examples from developmental biology and cognition. Developmental morphogenesis is dependent on the inherent material properties of developing…

Neurons and Cognition · Quantitative Biology 2023-10-24 Stuart A. Newman

The mechanical behaviour of solid biological tissues has long been described using models based on classical continuum mechanics. However, the classical continuum theories of elasticity and viscoelasticity cannot easily capture the…

Biological Physics · Physics 2017-05-16 Shakti N. Menon , Cameron L. Hall , Scott W. McCue , D. L. Sean McElwain

We propose a three dimensional mechanical model of embryonic tissue dynamics. Mechanically coupled adherent cells are represented as particles interconnected with elastic beams which can exert non-central forces and torques. Tissue…

Biological Physics · Physics 2015-06-22 Andras Czirok , Dona Greta Isai

In this paper homogenization of a mathematical model for biomechanics of a plant tissue with randomly distributed cells is considered. Mechanical properties of a plant tissue are modelled by a strongly coupled system of…

Analysis of PDEs · Mathematics 2020-10-28 Andrey Piatnitski , Mariya Ptashnyk

A distinguishing feature of a multicellular living system is that it operates at various scales, from the intracellular to organismal. Very little is known at present on how tissue level properties are related to cell and subcellular…

Biological Physics · Physics 2007-06-26 Elijah Flenner , Francoise Marga , Adrian Neagu , Ioan Kosztin , Gabor Forgacs

Animal morphogenesis often involves significant shape changes of epithelial tissue sheets. Great progress has been made in understanding the underlying cellular driving forces and their coordination through biomechanical feedback loops.…

Soft Condensed Matter · Physics 2024-09-23 Nikolas H. Claussen , Fridtjof Brauns

Morphogenetic dynamics of tissue sheets require coordinated cell shape changes regulated by global patterning of mechanical forces. Inspired by such biological phenomena, we propose a minimal mechanochemical model based on the notion that…

Soft Condensed Matter · Physics 2021-01-01 Andrei Zakharov , Kinjal Dasbiswas

Understanding the mechanisms of interactions within cells, tissues, and organisms is crucial to driving developments across biology and medicine. Mathematical modeling is an essential tool for simulating biological systems and revealing…

Molecular Networks · Quantitative Biology 2024-08-13 Lingxia Qiao , Ali Khalilimeybodi , Nathaniel J Linden-Santangeli , Padmini Rangamani

Connecting cell behavior to tissue shape and mechanics is a key challenge in the physics of morphogenesis. Cytoskeletal turnover precludes a fixed reference state, and tensions are actively generated independently of strain; so conventional…

Soft Condensed Matter · Physics 2026-05-28 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

As an effective method to deliver external materials into biological cells, microinjection has been widely applied in the biomedical field. However, the cognition of cell mechanical property is still inadequate, which greatly limits the…

Robotics · Computer Science 2022-11-29 Shengzheng Kang , Zhicheng Song , Xiaolong Yang , Yao Li , Hongtao Wu , Tao Li

We propose a two-scale model to resolve essential features of developmental tissue deformations. The model couples individual cellular behavior to the mechanics at tissue scale. This is realized by a multiphase-field model addressing the…

Soft Condensed Matter · Physics 2025-06-25 Lea Happel , Axel Voigt

A central question in developmental biology is how size and position are determined. The genetic code carries instructions on how to control these properties in order to regulate the pattern and morphology of structures in the developing…

Cell Behavior · Quantitative Biology 2016-12-05 Krishna Garikipati
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