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The alignment of fibers and cells in living tissues affect their mechanical properties and functionality. In this context, one can draw an analogy between tissues and nematic liquid crystal elastomers. We explore this analogy by growing…

Soft Condensed Matter · Physics 2025-10-08 Kirsten Endresen , Aniruddh Murali , Birte Geerds , Daniel J. G. Pearce , Francesca Serra

How can dense biological tissue maintain sharp boundaries between coexisting cell populations? We explore this question within a simple vertex model for cells, focusing on the role of topology and tissue surface tension. We show that the…

Soft Condensed Matter · Physics 2018-02-07 Daniel M. Sussman , J. M. Schwarz , M. Cristina Marchetti , M. Lisa Manning

The phenomenological model for cell shape deformation and cell migration (Chen et.al. 2018; Vermolen and Gefen 2012) is extended with the incorporation of cell traction forces and the evolution of cell equilibrium shapes as a result of cell…

Cell Behavior · Quantitative Biology 2021-04-27 Qiyao Peng , Fred Vermolen , Daphne Weihs

During embryonic morphogenesis, tissues undergo dramatic deformations in order to form functional organs. Similarly, in adult animals, living cells and tissues are continually subjected to forces and deformations. Therefore, the success of…

Soft Condensed Matter · Physics 2024-05-06 Michael J. Hertaeg , Suzanne M. Fielding , Dapeng Bi

Investigations of natural variation among cells within a population are essential for understanding the stochastic nature of tissue cell deformation under applied load. In the existing literature, the population variation of single-cell…

Cell Behavior · Quantitative Biology 2011-07-14 John M. Maloney , Krystyn J. Van Vliet

We use a minimal model for a dense suspension undergoing thickening and thinning to investigate microstructural changes in 2d simulations. Our simulations show that in steady flow the contact network contains distinct building blocks which…

Soft Condensed Matter · Physics 2026-04-15 William C. J. Buchholtz , Daniel L. Blair , Jeffrey S. Urbach , H. A. Vinutha , Emanuela Del Gado

We propose a simple mathematical model to describe the mechanical relaxation of cells within a curved epithelial tissue layer represented by an arbitrary curve in two-dimensional space. This model generalises previous one-dimensional models…

Cellular Automata and Lattice Gases · Physics 2025-01-09 Pascal R. Buenzli , Shahak Kuba , Ryan J. Murphy , Matthew J. Simpson

Cells self-organize into functional, ordered structures during tissue morphogenesis, a process that is evocative of colloidal self-assembly into engineered soft materials. Understanding how inter-cellular mechanical interactions may drive…

In processes such as embryo shaping, wound healing, and malignant cell invasion, epithelial cells transition between dispersed phases, where the cells move independently, and condensed phases, where they aggregate and deform to close gaps,…

Soft Condensed Matter · Physics 2024-09-25 Anshuman Pasupalak , Zeng Wu , Massimo Pica Ciamarra

We apply a recently developed model of cytoskeletal force generation to study a cell intrinsic contractility, as well as its response to external loading. The model is based on a non-equilibrium thermodynamic treatment of the…

Subcellular Processes · Quantitative Biology 2015-06-19 Mirko Maraldi , Clara Valero , Krishna Garikipati

In dense biological tissues, cell types performing different roles remain segregated by maintaining sharp interfaces. To better understand the mechanisms for such sharp compartmentalization, we study the effect of an imposed heterotypic…

Soft Condensed Matter · Physics 2021-10-27 Preeti Sahu , J. M. Schwarz , M. Lisa Manning

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

Convergent extension of epithelial tissue is a key motif of animal morphogenesis. On a coarse scale, cell motion resembles laminar fluid flow; yet in contrast to a fluid, epithelial cells adhere to each other and maintain the tissue layer…

Biological Physics · Physics 2024-10-04 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

One of the most unique physical features of cell adhesion to external surfaces is the active generation of mechanical force at the cell-material interface. This includes pulling forces generated by contractile polymer bundles and networks,…

Cell Behavior · Quantitative Biology 2013-09-12 Ulrich S. Schwarz , Samuel S. Safran

The evolution of the force distributions during the isotropic compression of two dimensional packings of soft frictional particles is investigated numerically. Regardless of the applied deformation, the normal contact force distribution can…

Soft Condensed Matter · Physics 2014-02-25 Jens Boberski , M. Reza Shaebani , Dietrich E. Wolf

We report detailed theoretical investigations of the micro-mechanics and bulk elastic properties of composites consisting of randomly distributed stiff fibers embedded in an elastic matrix in two and three dimensions. Recent experiments…

Soft Condensed Matter · Physics 2013-05-29 Moumita Das , F. C. MacKintosh

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

Coordinated and cooperative motion of cells is essential for embryonic development, tissue morphogenesis, wound healing and cancer invasion. A predictive understanding of the emergent mechanical behaviors in collective cell motion is…

Biological Physics · Physics 2022-10-04 Michael F. Staddon , Michael P. Murrell , Shiladitya Banerjee

Living cells respond to mechanical changes in the matrix surrounding them by applying contractile forces that are in turn transmitted to distant cells. We calculate the mechanical work that each cell performs in order to deform the matrix,…

Soft Condensed Matter · Physics 2021-08-17 Chaviva Sirote , Yair Shokef

In these Lecture Notes we aim at clarifying how soft matter physics, and herein notably statistical mechanics and fluid mechanics, can be engaged to understand and manipulate non-equilibrium systems consisting of numerous (microscopic)…

Soft Condensed Matter · Physics 2025-05-27 Jean-François Joanny , Joseph O. Indekeu