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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…

A novel local evolution equation for one-dimensional interfaces is derived in the context of erosion by ion beam sputtering. We present numerical simulations of this equation which show interrupted coarsening in which an ordered cell…

Statistical Mechanics · Physics 2009-11-13 Javier Muñoz-García , Rodolfo Cuerno , Mario Castro

It has been suggested recently that growth and division of a protocell could be modeled by a chemically active droplet with simple chemical reactions driven by an external fuel supply. This model is called the continuum model. Indeed it's…

Biological Physics · Physics 2018-12-07 Mohammad Abu Hamed , Alexander A. Nepomnyashchy

The macroscopic behaviour of active matter arises from nonequilibrium microscopic processes. In soft materials, active stresses typically drive macroscopic shape changes, which in turn alter the geometry constraining the microscopic…

Soft Condensed Matter · Physics 2024-11-26 Tim Dullweber , Roman Belousov , Anna Erzberger

In view of ever-changing conditions both in the external world and in intrinsic brain states, maintaining the robustness of computations poses a challenge, adequate solutions to which we are only beginning to understand. At the level of…

Neurons and Cognition · Quantitative Biology 2022-03-29 Nelson Niemeyer , Jan-Hendrik Schleimer , Susanne Schreiber

During morphogenesis, the shape of a tissue emerges from collective cellular behaviors, which are in part regulated by mechanical and biochemical interactions between cells. Quantification of force and stress is therefore necessary to…

Tissues and Organs · Quantitative Biology 2014-02-19 K. Sugimura , Y. Bellaïche , F. Graner , P. Marcq , S. Ishihara

Rigidity transitions in simple models of confluent cells have been a powerful organizing principle in understanding the dynamics and mechanics of dense biological tissue. In this work we explore the interplay between geometry and rigidity…

Soft Condensed Matter · Physics 2020-07-08 Daniel M. Sussman

Robust stability and stochastic stability have separately seen intense study in control theory for many decades. In this work we establish relations between these properties for discrete-time systems and employ them for robust control…

Dynamical Systems · Mathematics 2020-04-20 Benjamin Gravell , Peyman Mohajerin Esfahani , Tyler Summers

How internal forces are transduced into motion through soft, fluid membranes remains a fundamental question in the study of active systems. To investigate this coupling, we develop a minimal system consisting of a single ferromagnetic…

Soft Condensed Matter · Physics 2025-07-11 Paula Magrinya , Arin Escobar Ortiz , Juan L. Aragones , Laura R. Arriaga

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

The physics of micron-scale biological colonies usually benefits from different out-of-equilibrium sources. In bacterial colonies and cellular tissues, the growth process is among the important active sources that determine the dynamics. In…

Soft Condensed Matter · Physics 2023-06-16 Forouh Maleki , Ali Najafi

We study the dynamics of weakly deformed interfaces separating two stable phases, starting from the fluctuating hydrodynamics of the phase-separating fields. Using a well-chosen definition for the interface and the dynamical-action…

Statistical Mechanics · Physics 2026-05-19 Lila Sarfati , Julien Tailleur , Frédéric van Wijland

Liquids spreading over a solid substrate under the action of various forces are known to exhibit a long wavelength contact line instability. We use an example of thermally driven spreading on a horizontal surface to study how the stability…

Pattern Formation and Solitons · Physics 2017-04-05 Roman O. Grigoriev

Aging remains a fundamental open problem in modern biology. Although there exist a number of theories on aging on the cellular scale, nearly nothing is known about how microscopic failures cascade to macroscopic failures of tissues, organs…

Tissues and Organs · Quantitative Biology 2017-07-10 Aylin Acun , Dervis Can Vural , Pinar Zorlutuna

Motivated by questions in biology and distributed computing, we investigate the behaviour of particular cellular automata, modelled as one-dimensional arrays of identical finite automata. We investigate what sort of self-stabilising…

Formal Languages and Automata Theory · Computer Science 2009-11-14 Alan Gibbons , Martyn Amos

Biological tissues exhibit diverse mechanical and rheological behaviors during morphogenesis. While much is known about tissue phase transitions controlled by structural order and cell mechanics, key questions regarding how tissue-scale…

Soft Condensed Matter · Physics 2026-04-29 Pengyu Yu , Fridtjof Brauns , M. Cristina Marchetti

The transition from static to dynamic friction when an elastic body is slid over another is now known to result from the motion of interface rupture fronts. These fronts may be either crack-like or pulse-like, with the latter involving…

Soft Condensed Matter · Physics 2024-03-06 Vineet Dawara , Koushik Viswanathan

The mechanosensitivity of cells, which determines how they are able to respond to mechanical signals received from their environment, is crucial for the functioning of all biological systems. In experiments, cells placed on cyclically…

Biological Physics · Physics 2019-01-17 John J. Molina , Ryoichi Yamamoto

Advances in synthetic biology allow us to engineer bacterial collectives with pre-specified characteristics. However, the behavior of these collectives is difficult to understand, as cellular growth and division as well as extra-cellular…

Cell Behavior · Quantitative Biology 2017-09-13 James J. Winkle , Oleg Igoshin , Matthew R. Bennett , Krešimir Josić , William Ott

Cellular biology exists embedded in a world dominated by random dynamics and chance. Many vital molecules and pieces of cellular machinery diffuse within cells, moving along random trajectories as they collide with the other biomolecular…

Cell Behavior · Quantitative Biology 2012-08-13 Iain G. Johnston
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