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Epithelial cell layers on soft elastic substrates or pillar arrays are commonly used as model systems for investigating the role of force in tissue growth, maintenance and repair. Here we show analytically that the experimentally observed…

Tissues and Organs · Quantitative Biology 2012-01-16 Carina M. Edwards , Ulrich S. Schwarz

We study the surface fluctuations of a tissue with a dynamics dictated by cell-rearrangement, cell-division, and cell-death processes. Surface fluctuations are calculated in the homeostatic state, where cell division and cell death…

Biological Physics · Physics 2015-12-22 Thomas Risler , Aurélien Peilloux , Jacques Prost

Mechanical cues like the rigidity of the substrate are main determinants for the decision making of adherent cells. Here we use a mechano-chemical model to predict the cellular response to varying substrate stiffness. The model equations…

Cell Behavior · Quantitative Biology 2010-07-08 A. Besser , U. S. Schwarz

A constitutive relation between stress and strain relative to a reference state is the basic assumption of elasticity theory. However, in living matter, force generation is governed by motor molecule activity, which does not depend on…

Soft Condensed Matter · Physics 2026-03-17 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

Interactions between crawling cells, which are essential for many biological processes, can be quantified by measuring cell-cell collisions. Conventionally, experiments of cell-cell collisions are conducted on two-dimensional flat…

Biological Physics · Physics 2025-10-24 Yongtian Luo , Amrinder S. Nain , Brian A. Camley

Many of the chemical reactions that take place within a living cell are irreversible. Due to evolutionary pressures, the number of allowable reactions within these systems are highly constrained and thus the resulting metabolic networks…

Molecular Networks · Quantitative Biology 2013-03-04 Jonathan J Crofts , Ernesto Estrada

A mathematical model is proposed for shape evolution and locomotion of fish epidermal keratocytes on elastic substrates. The model is based on mechanosensing concepts: cells apply contractile forces onto the elastic substrate, while cell…

Biological Physics · Physics 2021-02-19 Zhiwen Zhang , Phoebus Rosakis , Thomas Y. Hou , Guruswami Ravichandran

Many cellular processes require a polarization axis which generally initially emerges as an inhomogeneous distribution of molecular markers in the cell. We present a simple analytical model of a general mechanism of cell polarization taking…

Cell Behavior · Quantitative Biology 2009-10-21 Rhoda J. Hawkins , Olivier Benichou , Matthieu Piel , Raphael Voituriez

Vertex Models, as used to describe cellular tissue, have an energy controlled by deviations of each cell area and perimeter from target values. The constrained nonlinear relation between area and perimeter leads to new mechanical response.…

Soft Condensed Matter · Physics 2022-07-04 Arthur Hernandez , Michael F. Staddon , Mark J. Bowick , M. Cristina Marchetti , Michael Moshe

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…

Micropatterned substrates are often used to standardize cell experiments and to quantitatively study the relation between cell shape and function. Moreover, they are increasingly used in combination with traction force microscopy on soft…

Cell Behavior · Quantitative Biology 2015-06-19 Philipp J. Albert , Ulrich S. Schwarz

Animal cells are active, contractile objects. While bioassays address the molecular characterization of cell contractility, the mechanical characterization of the active forces in cells remains challenging. Here by confronting theoretical…

Cell Behavior · Quantitative Biology 2022-09-14 Hélène Delanoë-Ayari , Nicolas Bouchonville , Marie Courçon , Alice Nicolas

We propose a non-local model for contact guidance and steric hindrance depending on a single external cue, namely the extracellular matrix, that affects in a twofold way the polarization and speed of motion of the cells. We start from a…

Cell Behavior · Quantitative Biology 2022-07-06 Martina Conte , Nadia Loy

Mounting evidence shows that oscillatory activity is widespread in cell signaling. Here we review some of this recent evidence, focusing on both the molecular mechanisms that potentially underlie such dynamical behavior, and the potential…

Cell Behavior · Quantitative Biology 2022-04-15 Pablo Casani-Galdon , Jordi Garcia-Ojalvo

Many morphogenetic processes involve mechanical rearrangement of epithelial tissues that is driven by precisely regulated cytoskeletal forces and cell adhesion. The mechanical state of the cell and intercellular adhesion are not only the…

Cell Behavior · Quantitative Biology 2015-06-03 Kevin K. Chiou , Lars Hufnagel , Boris I. Shraiman

Small inhibitory neuronal circuits have long been identified as key neuronal motifs to generate and modulate the coexisting rhythms of various motor functions. Our paper highlights the role of a cellular switching mechanism to orchestrate…

Neurons and Cognition · Quantitative Biology 2018-02-20 Guillaume Drion , Alessio Franci , Rodolphe Sepulchre

Mechanical properties of the cell are important biomarkers for probing its architectural changes caused by cellular processes and/or pathologies. The development of microfluidic technologies have enabled measuring cell mechanics at…

Soft Condensed Matter · Physics 2021-05-19 Moslem Moradi , Ehssan Nazockdast

The ability of a cell to communicate with its environment is essential for key cellular functions like replication, metabolism, or cell fate decisions. The involved molecular mechanisms are highly dynamic and difficult to capture…

Human-Computer Interaction · Computer Science 2025-09-11 Lena Cibulski , Fiete Haack , Adelinde Uhrmacher , Stefan Bruckner

Motility initiation in crawling cells requires transformation of a symmetric state into a polarized state. In contrast, motility arrest is associated with re-symmetrization of the internal configuration of a cell. Experiments on keratocytes…

Biological Physics · Physics 2015-10-28 Pierre Recho , Thibaut Putelat , Lev Truskinovsky

Living cells adapt and respond actively to the mechanical properties of their environment. In addition to biochemical mechanotransduction, evidence exists for a myosin-dependent, purely mechanical sensitivity to the stiffness of the…

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