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Transport at small scales is classically understood within an equilibrium framework, where dispersion theory successfully describes shear-enhanced diffusion for passive particles in the continuum limit. However, as most bacteria can move on…

Fluid Dynamics · Physics 2026-05-29 Mingyang Guan , Bowen Ling , Enhao Liu , Guoqian Chen , Zhan Wang

Electroporation is increasingly used as a percutaneous ablation technique for tumours located near vital structures. Although effective, tumour regrowth may still occur. At the same time, in vitro studies on cell monolayers have shown that…

Quantitative Methods · Quantitative Biology 2026-03-09 Emma Leschiera , Nicolas Mattei , Marie-Pierre Rols , Muriel Golzio , Jelena Kolosnjaj-Tabi , Clair Poignard

Coordinated cellular movements are key processes in tissue morphogenesis. Using a cell-based modeling approach we study the dynamics of epithelial layers lining surfaces with constant and varying curvature. We demonstrate that extrinsic…

Soft Condensed Matter · Physics 2024-03-21 Lea Happel , Axel Voigt

Active force generation by actin-myosin cortex coupled to the cell membrane allows the cell to deform, respond to the environment, and mediate cell motility and division. Several membrane-bound activator proteins move along it and couple to…

Soft Condensed Matter · Physics 2021-12-23 Subhadip Ghosh , Sashideep Gutti , Debasish Chaudhuri

Bacterial swarming is a rapid mass-migration, in which thousands of cells spread collectively to colonize a surface. Physically, swarming is a natural example of active particles that use energy to generate motion. Accordingly,…

Soft Condensed Matter · Physics 2019-11-14 Avraham Be`er , Bella Ilkanaiv , Renan Gross , Daniel B. Kearns , Sebastian Heidenreich , Markus Bär , Gil Ariel

Transport of colloid particles through narrow channels is ubiquitous in cell biology as well as becoming increasingly important for microfluidic applications or targeted drug delivery. Membrane channels in cells are useful models for…

Soft Condensed Matter · Physics 2017-06-26 S. D. Goldt , E. M. Terentjev

We investigate the dynamics of a nonlinear system modeling tumor growth with drug application. The tumor is viewed as a mixture consisting of proliferating, quiescent and dead cells as well as a nutrient in the presence of a drug. The…

Analysis of PDEs · Mathematics 2015-06-22 Donatella Donatelli , Konstantina Trivisa

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…

Cell colonies of bacteria, tumour cells and fungi, under nutrient limited growth conditions, exhibit complex branched growth patterns. In order to investigate this phenomenon we present a simple hybrid cellular automaton model of cell…

Biological Physics · Physics 2007-05-23 P. Gerlee , A. R. A Anderson

Uncontrolled growth of tumor cells in confined spaces leads to the accumulation of compressive stress within the tumor. Although the effects of tension within 3D extracellular matrices on tumor growth and invasion are well established, the…

Cell Behavior · Quantitative Biology 2024-04-08 Mrinal Pandey , Young Joon Suh , Minha Kim , Hannah Jane Davis , Jeffrey E Segall , Mingming Wu

Topological defects in nematically aligned cell populations play a critical role in modulating collective motion, from microbial colonies to epithelial tissues. Despite the potential of manipulating such topological defects to control…

Soft Condensed Matter · Physics 2023-07-25 Ryo Ienaga , Kazusa Beppu , Yusuke T. Maeda

We theoretically explore fluidization of epithelial tissues by active T1 neighbor exchanges. We show that the geometry of cell-cell junctions encodes important information about the local features of the energy landscape, which we support…

Soft Condensed Matter · Physics 2018-08-31 Matej Krajnc , Sabyasachi Dasgupta , Primož Ziherl , Jacques Prost

In this paper, a two-dimensional model for the growth of multi-layer tumors is presented. The model consists of a free boundary problem for the tumor cell membrane and the tumor is supposed to grow or shrink due to cell proliferation or…

Analysis of PDEs · Mathematics 2013-06-11 Martin Kohlmann

When the motion of a motile cell is observed closely, it appears erratic, and yet the combination of nonequilibrium forces and surfaces can produce striking examples of organization in microbial systems. While most of our current…

Membrane bending is an extensively studied problem from both modeling and experimental perspectives because of the wide implications of curvature generation in cell biology. Many of the curvature generating aspects in membranes can be…

Soft Condensed Matter · Physics 2021-07-21 Arijit Mahapatra , David Saintillan , Padmini Rangamani

The physics of solid tumor growth can be considered at three distinct size scales: the tumor scale, the cell-extracellular matrix (ECM) scale and the sub-cellular scale. In this paper we consider the tumor scale in the interest of…

Cell Behavior · Quantitative Biology 2010-04-27 H Narayanan , S N Verner , K. L. Mills , R. Kemkemer , K. Garikipati

Heterogeneity within tumour cell populations is associated with an increase in malignancy and appears to play an important role during cancer metastasis. Using in silico experiments, we study the interplay between collective behaviours and…

Tissues and Organs · Quantitative Biology 2015-01-05 Adrien Hallou , Joel Jennings , Alexandre Kabla

Curvature plays a central role in the proper function of many biological processes. With active matter being a standard framework for understanding many aspects of the physics of life, it is natural to ask what effect curvature has on the…

Soft Condensed Matter · Physics 2026-01-27 Euan D. Mackay , Giulia Janzen , D. A. Matoz Fernandez , Rastko Sknepnek

Understanding to what extent stem cell potential is a cell-intrinsic property, or an emergent behavior coming from global tissue dynamics and geometry, is a key outstanding question of systems and stem cell biology. Here, we propose a…

We propose a mathematical kinetic framework to investigate interactions between tumor cells and the immune system, focusing on the spatial dynamics of tumor progression and immune responses. We develop two kinetic models: one describes a…

Cell Behavior · Quantitative Biology 2026-02-24 Martina Conte , Romina Travaglini
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