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During the spreading of epithelial tissues, the advancing tissue front often develops fingerlike protrusions. Their resemblance to traditional viscous fingering patterns in driven fluids suggests that epithelial fingers could arise from an…

Biological Physics · Physics 2019-03-05 Ricard Alert , Carles Blanch-Mercader , Jaume Casademunt

Treating the epithelium as an incompressible fluid adjacent to a viscoelastic stroma, we find a novel hydrodynamic instability that leads to the formation of protrusions of the epithelium into the stroma. This instability is a candidate for…

Biological Physics · Physics 2012-03-09 Markus Basan , Jean-Francois Joanny , Jacques Prost , Thomas Risler

Invasiveness, one of the hallmarks of tumor progression, represents the tumor's ability to expand into the host tissue by means of several complex biochemical and biomechanical processes. Since certain aspects of the problem present a…

Biological Physics · Physics 2009-11-13 Caterina Guiot , Nicola Pugno , Pier Paolo Delsanto , Thomas S. Deisboeck

Morphological instabilities of growing tissues that impinge on passive materials are typical of invasive cancers. To explain these instabilities in experiments on breast epithelial spheroids in an extracellular matrix, we develop a…

Soft Condensed Matter · Physics 2026-02-12 Sumit Sinha , Haiqian Yang , L Mahadevan

Interfacial instability is highly relevant to many important biological processes. A key example arises in wound healing experiments, which observe that an epithelial layer with an initially straight edge does not heal uniformly. We…

Soft Condensed Matter · Physics 2017-12-27 David Nesbitt , Gunnar Pruessner , Chiu Fan Lee

From the mitotic spindle up to tissues and biofilms, many biological systems behave as active droplets, which often break symmetry and change shape spontaneously. Here, I show that active nematic droplets can experience a fingering…

Soft Condensed Matter · Physics 2022-06-07 Ricard Alert

When a fluid is pumped into a cavity in a confined elastic layer, at a critical pressure, destabilizing fingers of fluid invade the elastic solid along its meniscus (Saintyves, Dauchot, and Bouchaud, 2013). These fingers occur without…

Soft Condensed Matter · Physics 2015-06-11 J. S. Biggins , Z. Wei , L. Mahadevan

Collective cell migration plays a crucial role in many developmental processes that underlie morphogenesis, wound healing, or cancer progression. In such coordinated behaviours, cells are organised in coherent structures and actively…

Soft Condensed Matter · Physics 2021-06-16 Carolina Trenado , Luis L. Bonilla , Alejandro Martínez-Calvo

Tumour cells have to acquire a number of capabilities if a neoplasm is to become a cancer. One of these key capabilities is increased motility which is needed for invasion of other tissues and metastasis. This paper presents a qualitative…

Tissues and Organs · Quantitative Biology 2009-09-29 David Basanta , Haralambos Hatzikirou , Andreas Deutsch

We present an analogy between two unrelated instabilities. One is caused by the impact of a drop of water on a solid surface while the other one concerns a tumor that develops invasive cellular branches into the surrounding host tissue. In…

Medical Physics · Physics 2007-05-23 Caterina Guiot , Pier Paolo Delsanto , Thomas S. Deisboeck

Known as one of the hallmarks of cancer [30], cancer cell invasion of human body tissue is a complicated spatio-temporal multiscale process which enables a localised solid tumour to transform into a systemic, metastatic and fatal disease.…

Dynamical Systems · Mathematics 2016-03-25 Lu Peng , Dumitru Trucu , Ping Lin , Alastair Thompson , Mark A. J. Chaplain

Complex tumor-host interactions can significantly affect the growth dynamics and morphologies of progressing neoplasms. The growth of a confined solid tumor induces mechanical pressure and deformation of the surrounding microenvironment,…

Biological Physics · Physics 2012-01-05 Yang Jiao , Sal Torquato

Cancer is a disease of cellular regulation, often initiated by genetic mutation within cells, and leading to a heterogeneous cell population within tissues. In the competition for nutrients and growth space within the tumors the phenotype…

Populations and Evolution · Quantitative Biology 2017-08-08 András Szabó , Roeland M. H. Merks

Double-diffusive instabilities are often invoked to explain enhanced transport in stably-stratified fluids. The most-studied natural manifestation of this process, fingering convection, commonly occurs in the ocean's thermocline and…

Fluid Dynamics · Physics 2015-05-19 A. Traxler , S. Stellmach , P. Garaud , T. Radko , N. Brummell

We study a tumor growth model in two space dimensions, where proliferation of the tumor cells leads to expansion of the tumor domain and migration of surrounding normal tissues into the exterior vacuum. The model features two moving…

Analysis of PDEs · Mathematics 2020-02-11 Inwon Kim , Jiajun Tong

The spread of metastases is a crucial process in which some questions remain unanswered. In this work, we focus on tumor cells circulating in the bloodstream, the so-called Circulating Tumor Cells (CTCs). Our aim is to characterize their…

Tissues and Organs · Quantitative Biology 2025-01-22 Giorgia Ciavolella , Julien Granet , Jacky Goetz , Nael Osmani , Christèle Etchegaray , Annabelle Collin

Brain-related experiments are limited by nature, and so biological insights are often restricted or absent. This is particularly problematic in the context of brain cancers, which have very poor survival rates. To generate and test new…

Dynamical Systems · Mathematics 2021-08-10 Szabolcs Suveges , Kismet Hossain-Ibrahim , J. Douglas Steele , Raluca Eftimie , Dumitru Trucu

Collective cell migration is crucial in many biological processes such as wound healing, tissue morphogenesis, and tumor progression. The leading front of a collective migrating epithelial cell layer often destabilizes into multicellular…

Biological Physics · Physics 2020-05-07 Yanjun Yang , Herbert Levine

The acid-mediated tumor invasion hypothesis proposes that altered glucose metabolism exhibited by the vast majority of tumors leads to increased acid (H+ ion) production which subsequently facilitates tumor invasion [1-3]. The…

Tissues and Organs · Quantitative Biology 2019-06-10 Ahmed M. Fouad

We derive a course grained, continuum model of the 2D vertex model, applicable for different underlying geometries, and allowing for analytical analysis of an otherwise numerical model. Using a geometric approach and out--of--equilibrium…

Soft Condensed Matter · Physics 2022-08-31 Doron Grossman , Jean-Francois Joanny
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