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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

A hallmark of biological tissues, viewed as complex cellular materials, is the active generation of mechanical stresses by cellular processes, such as cell divisions. Each cellular event generates a force dipole that deforms the surrounding…

Autologous chemotaxis, in which cells secrete and detect molecules to determine the direction of fluid flow, is thwarted at high cell density because molecules from other cells interfere with a given cell's signal. Using a minimal model of…

Biological Physics · Physics 2022-09-14 Michael Vennettilli , Louis Gonzalez , Nicholas Hilgert , Andrew Mugler

We investigate the hydrodynamic stability and the formation of patterns in a continuum model of epithelial layers, able to account for the interplay between mechanical activity, lateral adhesion and the $6-$fold orientational order…

Soft Condensed Matter · Physics 2025-02-19 Josep-Maria Armengol-Collado , Leonardo Puggioni , Livio N. Carenza , Luca Giomi

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

Interfaces in tissues are ubiquitous, both between tissue and environment as well as between populations of different cell types. The propagation of an interface can be driven mechanically. % e.g. by a difference in the respective…

Tissues and Organs · Quantitative Biology 2024-06-03 Tobias Büscher , Angel L. Diez , Gerhard Gompper , Jens Elgeti

A single solid tumor, composed of nearly identical cells, exhibits heterogeneous dynamics. Cells dynamics in the core is glass-like whereas those in the periphery undergo diffusive or super-diffusive behavior. Quantification of…

Biological Physics · Physics 2020-11-24 Sumit Sinha , D. Thirumalai

Recent observations demonstrate that densely packed tissues exhibit features of glassy dynamics, such as caging behavior and dynamical heterogeneities, although it has remained unclear how single-cell properties control this behavior. Here…

Soft Condensed Matter · Physics 2014-02-19 Dapeng Bi , J. H. Lopez , J. M. Schwarz , M. Lisa Manning

Epithelial cell tissues have a slow relaxation dynamics resembling that of supercooled liquids. Yet, they also have distinguishing features. These include an extended short-time sub-diffusive transient, as observed in some experiments and…

Soft Condensed Matter · Physics 2021-02-17 Yan-Wei Li , Leon Loh Yeong Wei , Matteo Paoluzzi , Massimo Pica Ciamarra

Stem cell regeneration is a vital biological process in self-renewing tissues, governing development and tissue homeostasis. Gene regulatory network dynamics are pivotal in controlling stem cell regeneration and cell type transitions.…

Molecular Networks · Quantitative Biology 2024-04-19 Yakun Li , Xiyin Liang , Jinzhi Lei

Hematopoietic stem cells in mammals are known to reside mostly in the bone marrow, but also transitively passage in small numbers in the blood. Experimental findings have suggested that they exist in a dynamic equilibrium, continuously…

Populations and Evolution · Quantitative Biology 2017-10-12 Peter Ashcroft , Markus G. Manz , Sebastian Bonhoeffer

We present a hydrodynamic theory to describe shear flows in developing epithelial tissues. We introduce hydrodynamic fields corresponding to state properties of constituent cells as well as a contribution to overall tissue shear flow due to…

Living tissue is able to withstand large stresses in everyday life, yet it also actively adapts to dynamic loads. This remarkable mechanical behaviour emerges from the interplay between living cells and their non-living extracellular…

Biological Physics · Physics 2022-02-02 Iain Muntz , Michele Fenu , Gerjo J. V. M. van Osch , Gijsje H. Koenderink

In this paper we use a continuous model to describe the development of a single cell lineage following the committal of stem cells. Three separate controls are implemented in the model, namely the proliferative control of stem cells, the…

Tissues and Organs · Quantitative Biology 2007-05-23 Ivana Drobnjak , A. C. Fowler , Michael C. Mackey

In contexts ranging from embryonic development to bacterial ecology, cell populations migrate chemotactically along self-generated chemical gradients, often forming a propagating front. Here, we theoretically show that the stability of such…

Biological Physics · Physics 2022-06-07 Ricard Alert , Alejandro Martínez-Calvo , Sujit S. Datta

In this paper we propose an existence and uniqueness theory for the solutions of a system of non-linear hyperbolic conservation laws, structured in age and maturity variables, representing a tissue environment. In particular we are…

Analysis of PDEs · Mathematics 2014-08-22 Di Bernardo Laura , Donatella Donatelli

We introduce a particle-based model of self-replicating cells on a deformable substrate composed of the dermis and the basement membrane and investigate the relationship between dermal deformations and stem cell pattering on it. We show…

Tissues and Organs · Quantitative Biology 2018-08-22 Yasuaki Kobayashi , Yusuke Yasugahira , Hiroyuki Kitahata , Mika Watanabe , Ken Natsuga , Masaharu Nagayama

The self-organization of cells into complex tissues relies on a tight coordination of cell behavior. Identifying the cellular processes driving tissue growth is key to understanding the emergence of tissue forms and devising targeted…

Quantitative Methods · Quantitative Biology 2024-03-27 Ruslan Mukhamadiarov , Matteo Ciarchi , Fabrizio Olmeda , Steffen Rulands

Mechanics and biochemical signaling are both often deregulated in cancer, leading to cancer cell phenotypes that exhibit increased invasiveness, proliferation, and survival. The dynamics and interactions of cytoskeletal components control…

Biological Physics · Physics 2018-07-27 Fabian Spill , Chris Bakal , Michael Mak

Populations of mammalian stem cells commonly exhibit considerable cell-cell variability. However, the functional role of this diversity is unclear. Here, we analyze expression fluctuations of the stem cell surface marker Sca1 in mouse…

Cell Behavior · Quantitative Biology 2015-10-20 Sonya J. Ridden , Hannah H. Chang , Konstantinos C. Zygalakis , Ben D. MacArthur