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In this paper, we bring together our efforts in identifying and understanding nonequilibrium phase segregation driven by active processes in the living cell, with special focus on the segregation of cell membrane components driven by active…

Soft Condensed Matter · Physics 2022-05-04 Ajay Bansal , Amit Das , Madan Rao

Although cell shape can reflect the mechanical and biochemical properties of the cell and its environment, quantification of 3D cell shapes within 3D tissues remains difficult, typically requiring digital reconstruction from a stack of 2D…

Quantitative Methods · Quantitative Biology 2019-03-06 Tristan A. Sharp , Matthias Merkel , M. Lisa Manning , Andrea J. Liu

Biological cells can actively tune their intracellular architecture according to their overall shape. Here we explore the rheological implication of such coupling in a minimal model of a dense cellular material where each cell exerts an…

Soft Condensed Matter · Physics 2022-04-13 Shao-Zhen Lin , Matthias Merkel , Jean-François Rupprecht

Connecting cell behavior to tissue shape and mechanics is a key challenge in the physics of morphogenesis. Cytoskeletal turnover precludes a fixed reference state, and tensions are actively generated independently of strain; so conventional…

Soft Condensed Matter · Physics 2026-05-28 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

In this communication, we propose a model to study the non-equilibrium process by which actin stress fibers develop force in contractile cells. The emphasis here is on the non-equilibrium thermodynamics, which is necessary to address the…

Subcellular Processes · Quantitative Biology 2014-04-25 Mirko Maraldi , Krishna Garikipati

The production of mechanical stresses in living organisms largely relies on localized, force-generating active units embedded in filamentous matrices. Numerical simulations of discrete fiber networks with fixed boundaries have shown that…

Biological Physics · Physics 2018-05-10 Pierre Ronceray , Chase Broedersz , Martin Lenz

Diffraction-based stress analysis of textured materials depends on understanding their elastic heterogeneity and its influence on microscopic strain distributions, which is generally done by using simplifying assumptions for crystallite…

Materials Science · Physics 2025-05-23 Maximilian Krause , Nicola Simon , Claudius Klein , Jens Gibmeier , Thomas Böhlke

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

Directly examining subcellular mechanics whilst avoiding excessive strain of a live cell requires the precise control of light stress on very small areas, which is fundamentally difficult. Here we use a glass nanopipet out of contact with…

Experiments of cell migration and chemotaxis assays have been classically performed in the so-called Boyden Chambers. A recent technology, xCELLigence Real Time Cell Analysis, is now allowing to monitor the cell migration in real time. This…

Cellular form and function emerge from complex mechanochemical systems within the cytoplasm. No systematic strategy currently exists to infer large-scale physical properties of a cell from its many molecular components. This is a…

A two-dimensional mathematical model for cells migrating without adhesion capabilities is presented and analyzed. Cells are represented by their cortex, which is modelled as an elastic curve, subject to an internal pressure force. Net…

Analysis of PDEs · Mathematics 2020-12-14 Gaspard Jankowiak , Diane Peurichard , Anne Reversat , Christian Schmeiser , Michael Sixt

Mathematical models are vital interpretive and predictive tools used to assist in the understanding of cell migration. There are typically two approaches to modelling cell migration: either micro-scale, discrete or macro-scale, continuum.…

Cell Behavior · Quantitative Biology 2018-08-16 Enrico Gavagnin , Christian A. Yates

The evolution of various competing cell types in tissues, and the resulting persistent tissue population, is studied numerically and analytically in a particle-based model of active tissues. Mutations change the properties of cells in…

Populations and Evolution · Quantitative Biology 2024-06-03 Tobias Büscher , Nirmalendu Ganai , Gerhard Gompper , Jens Elgeti

There is increasing interest in the analysis of biological tissue, its organization and its dynamics with the help of mathematical models. In the ideal case emergent properties on the tissue scale can be derived from the cellular scale.…

Tissues and Organs · Quantitative Biology 2009-11-13 Tilo Beyer , Michael Meyer-Hermann

The constant interplay and information exchange between cells and their micro-environment are essential to their survival and ability to execute biological functions. To date, a few leading technologies such as traction force microscopy,…

Cell Behavior · Quantitative Biology 2023-06-29 Feng Xu , Shuxiang Zhang , Linjie Ma , Yong Hou , Jie Li , Andrej Denisenko , Zifu Li , Joachim Spatz , Jörg Wrachtrup , Qiang Wei , Zhiqin Chu

Cell motility is one of the most fundamental phenomena underlying biological processes that maintain living organisms alive. Here we introduce a simple model to describe the motility of cells which include not only time-correlated internal…

Biological Physics · Physics 2022-07-13 T. N. Azevedo , L. G. Rizzi

Micro-Electro-Mechanical Systems (MEMS) normally have fixed or moving structures with cross-sections of the order of microns ($\mu m$) and lengths of the order of tens or hundreds of microns. These structures are often plates or array of…

Computational Physics · Physics 2007-05-23 N. Majumdar , S. Mukhopadhyay

Our understanding of the elasticity and rheology of disordered materials, such as granular piles, foams, emulsions or dense suspensions relies on improving experimental tools to characterize their behaviour at the particle scale. While 2D…

Soft Condensed Matter · Physics 2010-09-24 Mohammad Saadatfar , Adrian P. Sheppard , Tim J. Senden , Alexandre J. Kabla

Recent biological experiments have shown that certain types of cells are able to move in structured and confined environment even without the activation of focal adhesion. Focusing on this particular phenomenon and based on previous works,…

Analysis of PDEs · Mathematics 2022-12-05 Chiara Giverso , Gaspard Jankowiak , Luigi Preziosi , Christian Schmeiser
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