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Related papers: A Formalism for Modelling Traction forces and Cell…

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Movement of cell clusters along extracellular matrices (ECM) during tissue development, wound healing, and early stage of cancer invasion involve various inter-connected migration modes such as: (1) cell movement within clusters, (2)…

Cell Behavior · Quantitative Biology 2023-02-14 Ivana Pajic-Lijakovic , Milan Milivojevic

Deformations of cell sheets during morphogenesis are driven by developmental processes such as cell division and cell shape changes. In morphoelastic shell theories of development, these processes appear as variations of the intrinsic…

Soft Condensed Matter · Physics 2021-03-03 Pierre A. Haas , Raymond E. Goldstein

We give a description of cell diffusion in a soft tissue, paying special attention to the coupling of force, matter, and microforce balance laws through a suitable dissipation principle. To this end, we cast our framework into a multi-level…

Soft Condensed Matter · Physics 2024-12-19 Amabile Tatone , Filippo Recrosi , Giuseppe Tomassetti

In this article, we propose a general framework to study the dynamics and topology of cellular networks that capture the geometry of cell packings in two-dimensional tissues. Such epithelia undergo large-scale deformation during…

Tissues and Organs · Quantitative Biology 2017-09-08 Matthias Merkel , Raphaël Etournay , Marko Popović , Guillaume Salbreux , Suzanne Eaton , Frank Jülicher

Confluent cell monolayers and epithelia tissues show remarkable patterns and correlations in structural arrangements and actively-driven collective flows. We simulate these properties using multiphase field models. The models are based on…

Soft Condensed Matter · Physics 2021-12-08 Dennis Wenzel , Axel Voigt

This paper develops a generative statistical model for representing, modeling, and comparing the morphological evolution of biological cells undergoing motility. It uses the elastic shape analysis to separate cell kinematics (overall…

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

The understanding of morphogenesis in living organisms has been renewed by tremendous progressin experimental techniques that provide access to cell-scale, quantitative information both on theshapes of cells within tissues and on the genes…

Biological Physics · Physics 2015-09-30 Sham Tlili , Cyprien Gay , Francois Graner , Philippe Marcq , François Molino , Pierre Saramito

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

Collective cell migration plays a central role in tissue development, morphogenesis, wound repair and cancer progression. With the growing realization that physical forces mediate cell motility in development and physiology, a key…

Biological Physics · Physics 2018-12-07 Shiladitya Banerjee , M. Cristina Marchetti

Single-cell trajectory analysis aims to reconstruct the biological developmental processes of cells as they evolve over time, leveraging temporal correlations in gene expression. During cellular development, gene expression patterns…

Applications · Statistics 2026-03-30 Junhao Zhu , Kevin Zhang , Zhaolei Zhang , Dehan Kong

T1 transitions, which are localised cell rearrangements, play an important role in the fluidization of epithelial monolayers. Using a multi-phase field model and an active elastic solid model, we show that although each cell undergoes T1…

Biological Physics · Physics 2025-02-11 Harish P. Jain , Richard D. J. G. Ho , Luiza Angheluta

The measurement of cellular traction forces on soft elastic substrates has become a standard tool for many labs working on mechanobiology. Here we review the basic principles and different variants of this approach. In general, the…

Quantitative Methods · Quantitative Biology 2015-06-09 Ulrich S. Schwarz , Jerome R. D. Soine

Cell migration in fibreous extracellular matrix (ECM) is crucial to many physiological and pathological processes such as tissue regeneration, immune response and cancer progression. During migration, individual cells can generate active…

Cell Behavior · Quantitative Biology 2019-10-16 Yu Zheng , Hanqing Nan , Qihui Fan , Xiaochen Wang , Liyu Liu , Ruchuan Liu , Fangfu Ye , Bo Sun , Yang Jiao

The migration of cells is relevant for processes such as morphogenesis, wound healing, and invasion of cancer cells. In order to move, single cells deform cyclically. However, it is not understood how these shape oscillations influence…

Biological Physics · Physics 2019-09-04 Matteo Campo , Simon K. Schnyder , John J. Molina , Thomas Speck , Ryoichi Yamamoto

The ability of eukaryotic cells to squeeze through constrictions is limited by the stiffness of their large and rigid nucleus. However, migrating cells are often able to overcome this limitation and pass through constrictions much smaller…

Biological Physics · Physics 2023-12-20 Sirine Amiri , Yirui Zhang , Andonis Gerardos , Cécile Sykes , Pierre Ronceray

The development of traction-force microscopy, in the past two decades, has created the unprecedented opportunity of performing direct mechanical measurements on living cells as they adhere or crawl on uniform or micro-patterned substrates.…

Biological Physics · Physics 2019-10-25 Luca Giomi

While it is commonly observed that the shape dynamics of mammalian cells can undergo large random fluctuations, theoretical models aiming at capturing cell mechanics often focus on the deterministic part of the motion. In this paper, we…

Biological Physics · Physics 2021-04-07 Vikram Deshpande , Antonio DeSimone , Robert McMeeking , Pierre Recho

Cell migration is an indispensable physiological and pathological process for normal tissue development and cancer metastasis, which is greatly regulated by intracellular signal pathways and extracellular microenvironment (ECM). However,…

Biological Physics · Physics 2020-10-27 Yanping Liu , Yang Jiao , Guoqiang Li , Gao Wang , Jingru Yao , Guo Chen , Silong Lou , Jianwei Shuai , Liyu Liu

Cellular morphodynamics requires solving systems of coupled partial differential equations on moving bulk and surface domains, where advection-dominant transport, structure preservation, and severe mesh distortions make robust simulation…

Numerical Analysis · Mathematics 2026-01-12 Alessandro Contri , André Massing , Padmini Rangamani