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Navigation of microorganisms is controlled by internal processes ultimately sensitive to mechanical or chemical signaling encountered along the path. In many natural environments, such as porous soils or physiological ducts, motile species…

Lipid membranes form the barrier between the inside and outside of cells and many of their subcompartments. As such, they bind to a wide variety of nano- and micrometer sized objects and, in the presence of strong adhesive forces, strongly…

Soft Condensed Matter · Physics 2021-08-31 Hendrik T. Spanke , Jaime Agudo-Canalejo , Daniel Tran , Robert W. Style , Eric R. Dufresne

Chronic wounds represent a major public health problem affecting 6.5 million people in the United States. Ischemia represents a serious complicating factor in wound healing. In this paper we analyze a recently developed mathematical model…

Analysis of PDEs · Mathematics 2010-06-11 Avner Friedman , Bei Hu , Chuan Xue

Understanding how cells escape from embedded spheroids requires a mechanical framework linking stress generation within cells, across cells, and between cells and the surrounding extracellular matrix (ECM). We develop such a framework by…

Epithelial cells can assemble into cohesive colonies and collectively interact with substrates by generating extracellular forces through focal adhesions. Recently, a molecularly based thermodynamic model, which integrates both the…

Soft Condensed Matter · Physics 2023-05-09 Tiankai Zhao , Hongyan Yuan

We formulate a Hele-Shaw type free boundary problem for a tumor growing under the combined effects of pressure forces, cell multiplication and active motion, the latter being the novelty of the present paper. This new ingredient is…

Analysis of PDEs · Mathematics 2014-01-14 Benoît Perthame , Fernando Quirós , Min Tang , Nicolas Vauchelet

Using a minimal model of cells or cohesive cell layers as continuum active elastic media, we examine the effect of substrate thickness and stiffness on traction forces exerted by strongly adhering cells. We obtain a simple expression for…

Soft Condensed Matter · Physics 2015-06-04 Shiladitya Banerjee , M. Cristina Marchetti

Recent work on particle-based models of tissues has suggested that any finite rate of cell division and cell death is sufficient to fluidize an epithelial tissue. At the same time, experimental evidence has indicated the existence of glassy…

Soft Condensed Matter · Physics 2019-05-07 Michael Czajkowski , Daniel M. Sussman , M. Cristina Marchetti , M. Lisa Manning

We study the influence of cell-level mechanical heterogeneity in epithelial tissues using a vertex-based model. Heterogeneity in single cell stiffness is introduced as a quenched random variable in the preferred shape index($p_0$) for each…

Biological Physics · Physics 2019-08-07 Xinzhi Li , Amit Das , Dapeng Bi

In this paper, we propose a tumor growth model to incorporate and investigate the spatial effects of autophagy. The cells are classified into two phases: normal cells and autophagic cells, whose dynamics are also coupled with the nutrients.…

Analysis of PDEs · Mathematics 2021-08-31 Xu'an Dou , Jian-Guo Liu , Zhennan Zhou

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

Wounds in the embryo show a remarkable ability to heal quickly without leaving a scar. Previous studies have found that an actomyosin ring ("purse string") forms around the wound perimeter and contracts to close the wound over the course of…

Tissues and Organs · Quantitative Biology 2015-06-15 Matthew A. Wyczalkowski , Victor D. Varner , Larry A. Taber

We study the mechanics of a reversible decohesion (unzipping) of an elastic layer subjected to quasi-static end-point loading. At the micro level the system is simulated by an elastic chain of particles interacting with a rigid foundation…

Other Quantitative Biology · Quantitative Biology 2015-05-13 F. Maddalena , D. Percivale , G. Puglisi , L. Truskinovsky

Membrane wrapping underlies nanoparticle uptake during endocytosis, whereas the reverse process of membrane unwrapping accompanies particle expulsion and membrane fusion events. Existing theoretical descriptions typically focus on adhesion…

Biological Physics · Physics 2026-04-16 Yasin Ranjbar , Yujun Teng , Haleh Alimohammadi , Huajian Gao , Mattia Bacca

Tumor spheroids are in vitro three-dimensional, cellular collectives consisting of cancerous cells. Embedding these spheroids in an in vitro fibrous environment, such as a collagen network, to mimic the extracellular matrix (ECM) provides…

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

In multicellular organisms, epithelial cells form layers separating compartments responsible for different physiological functions. At the early stage of epithelial layer formation, each cell of an aggregate defines an inner and an outer…

Cell Behavior · Quantitative Biology 2010-02-09 A. Veglio , A. Gamba , M. Nicodemi , F. Bussolino , G. Serini

We simulate a two dimensional model of self-propelled particles confined by a deformable boundary. The particles tend to accumulate near the boundary and the shape of the boundary deforms upon the collisions. We find that there are two…

Soft Condensed Matter · Physics 2018-05-18 Wen-de Tian , Yong-kun Guo , Kang Chen , Yu-qiang Ma

A number of factors, such as, cell-cell interactions and self-propulsion of cells driven by cytoskeletal forces determine tissue morphologies and dynamics. To explore the interplay between these factors in controlling the dynamics at the…

Soft Condensed Matter · Physics 2025-05-12 Rajsekhar Das , Xin Li , Sumit Sinha , D. Thirumalai

As a fundamental force, friction exerts a profound influence on various aspects of our daily lives across multiple disciplines. To understand why adhesive friction is associated with the contact area, here we investigate the generic sliding…

Soft Condensed Matter · Physics 2025-10-29 Puyu Cao , Meicheng Yao , Bin Chen