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Collective cell migration is a multicellular phenomenon that arises in various biological contexts, including cancer and embryo development. "Collectiveness" can be promoted by cell-cell interactions such as co-attraction and contact…

Cell Behavior · Quantitative Biology 2023-10-03 Viktoria Freingruber , Kevin J. Painter , Mariya Ptashnyk , Linus Schumacher

Multicellular migration and pattern formation play important roles in developmental biology, cancer metastasis and wound healing. To understand the collective cell dynamics in three dimensional extracellular matrix (ECM), we have developed…

Tissues and Organs · Quantitative Biology 2016-08-25 Amani A. Alobaidi , Bo Sun

Growth drives cellular dynamics in dense aggregates including bacterial colonies, developing tissues, and tumors. We investigate the underlying physical principles emerging from the interplay of growth, steric repulsion, and motility in a…

Soft Condensed Matter · Physics 2025-02-11 Torben Sunkel , Lukas Hupe , Philip Bittihn

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…

We formulate a cell-scale model for the degradation of the extra-cellular matrix by membrane-bound and soluble matrix degrading enzymes produced by cancer cells. Based on the microscopic model and using tools from the theory of…

Analysis of PDEs · Mathematics 2025-09-17 Mariya Ptashnyk , Chandrasekhar Venkataraman

Central to the quest for a deeper understanding of the cancer growth and spread process, the naturally multiscale character of cancer invasion demands appropriate multiscale modelling and analysis approach. The cross-talk between the tissue…

Numerical Analysis · Mathematics 2018-05-22 Thomas Carraro , Sven E. Wetterauer , Ana Victoria Ponce Bobadilla , Dumitru Trucu

Cancer is a systemic heterogeneous disease involving complex molecular networks. Tumor formation involves epithelial-mesenchymal transition (EMT), which promotes both metastasis and plasticity of cancer cells. Recent experiments proposed…

Molecular Networks · Quantitative Biology 2023-05-23 Zihao Chen , Jia Lu , Xing-Ming Zhao , Haiyang Yu , Chunhe Li

Collective motion of cells is common in many physiological processes, including tissue development, repair, and tumor formation. Recent experiments have shown that certain malignant cancer cells form clusters in a chemoattractant gradient,…

Biological Physics · Physics 2017-05-02 Katherine Copenhagen , Gema Malet-Engra , Weimiao Yu , Giorgio Scita , Nir Gov , Ajay Gopinathan

Collective cell migration is essential for a wide range of biological processes such as: morphogenesis, wound healing, and cancer spreading. However, it is well known that migrating epithelial collectives frequently undergo jamming, stay…

Cell Behavior · Quantitative Biology 2023-06-05 Ivana Pajic-Lijakovic , Milan Milivojevic

Tumor metastasis is one of the main factors responsible for the high fatality rate of cancer. Metastasis can occur after malignant cells transition from the epithelial phenotype to the mesenchymal phenotype. This transformation allows cells…

Molecular Networks · Quantitative Biology 2020-05-15 M. Ali Al-Radhawi , Eduardo D. Sontag

Adhesion-independent migration is a prominent mode of cell motility in confined environments, yet the physical principles that guide such movement remain incompletely understood. We present a phase-field model for simulating the motility of…

Phenotypic heterogeneity along the epithelial-mesenchymal (E-M) axis contributes to cancer metastasis and drug resistance. Recent experimental efforts have collated detailed time-course data on the emergence and dynamics of E-M…

Analysis of PDEs · Mathematics 2023-09-19 Jules Guilberteau , Paras Jain , Mohit Kumar Jolly , Nastassia Pouradier Duteil , Camille Pouchol

Cellular migration is crucial for biological processes including embryonic development, immune response, and wound healing. The myosin-clutch model is a framework that describes how cells control migration through the interactions between…

Biological Physics · Physics 2024-02-29 Beibei Shen , Yunxin Zhang

One of the essential functions of living organisms is spontaneous migration through the deformation of their body, such as crawling, swimming, and walking. Depending on the size of the object, the efficient migratory mode should be altered…

Soft Condensed Matter · Physics 2024-02-07 H. Ebata , Y. Nishigami , H. Fujiwara , S. Kidoaki , M. Ichikawa

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

The aim of this work is to quantify the spatio-temporal dynamics of flow-driven amoeboid locomotion in small ($\sim$100 $\mu$m) fragments of the true slime mold \phys {\it polycephalum}. In this model organism, cellular contraction drives…

Cell Behavior · Quantitative Biology 2017-05-24 Shun Zhang , Robert D. Guy , Juan C. Lasheras , Juan C. del Alamo

We deduce a model for glioma invasion making use of DTI data and accounting for the dynamics of brain tissue being actively degraded by tumor cells via excessive acidity production, but also according to the local orientation of tissue…

Tissues and Organs · Quantitative Biology 2020-06-23 G. Corbin , C. Engwer , A. Klar , J. Nieto , J. Soler , C. Surulescu , M. Wenske

Biofilm infections on medical implants are difficult to eradicate because insufficient nutrient availability promotes antibiotic-tolerant persister cells that survive treatment and reseed growth. Existing mathematical models usually omit…

Populations and Evolution · Quantitative Biology 2025-09-23 Parna Mandal , Nigel J. Mottram , Sean McGinty

A detailed understanding of the interface between living cells and substrate materials is of rising importance in many fields of medicine, biology and biotechnology. Cells at interfaces often form epithelia. The physical barrier that they…

Collective cell migration governs a range of physiological and pathological processes, from tissue morphogenesis to cancer invasion, in which topological defects arise as an inevitable consequence of frequent cellular rearrangement and…

Soft Condensed Matter · Physics 2026-04-01 Jiusi Zhang , Chung Wing Chan , Bo Li , Rui Zhang