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Migratory and tissue resident cells exhibit highly branched morphologies to perform their function and to adapt to the microenvironment. Immune cells, for example, display transient branched shapes while exploring the surrounding tissues.…

Biological Physics · Physics 2024-04-02 Jiayi Liu , Javier Boix-Campos , Jonathan E. Ron , Johan M. Kux , Nir S. Gov , Pablo J. Sáez

A fundamental feature of collective cell migration is phenotypic heterogeneity which, for example, influences tumour progression and relapse. While current mathematical models often consider discrete phenotypic structuring of the cell…

Cell Behavior · Quantitative Biology 2024-06-12 Rebecca M. Crossley , Kevin J. Painter , Tommaso Lorenzi , Philip K. Maini , Ruth E. Baker

Cell-to-cell variability is inherent to numerous biological processes, including cell migration. Quantifying and characterizing the variability of migrating cells is challenging, as it requires monitoring many cells for long time windows…

Biological Physics · Physics 2021-05-06 David B. Brückner , Alexandra Fink , Joachim O. Rädler , Chase P. Broedersz

The interplay between tumor cells and macrophages plays a central regulatory role in cancer progression. In this study, we developed a mathematical model that incorporates tumor cells, M1 type macrophages, M2 type macrophages and an M3 type…

Populations and Evolution · Quantitative Biology 2026-03-04 Haifeng Zhang , Yipu Qu , Wuyue Yang , Chenghang Li

Cancer cells have the plasticity to adjust their metabolic phenotypes for survival and metastasis. During metastasis, a developmental program known as the epithelial-mesenchymal transition (EMT) plays a critical role. There is extensive…

Current biological knowledge supports the existence of a secondary group of cancer cells within the body of the tumour that exhibits stem cell-like properties. These cells are termed Cancer Stem Cells (CSCs}, and as opposed to the more…

Cell Behavior · Quantitative Biology 2015-05-19 Nadja Hellmann , Niklas Kolbe , Nikolaos Sfakianakis

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

The behaviour of an organism often reflects a strategy for coping with its environment. Such behaviour in higher organisms can often be reduced to a few stereotyped modes of movement due to physiological limitations, but finding such modes…

Cell Behavior · Quantitative Biology 2013-08-26 Luke Tweedy , Börn Meier , Jürgen Stephan , Doris Heinrich , Robert G. Endres

Collective cell migration is a hallmark of developmental and patho-physiological states, including wound healing and invasive cancer growth. The integrity of the expanding epithelial sheets can be influenced by extracellular cues, including…

Directed collective cell migration is central in morphogenesis, wound healing and cancer progression1,2. Although it is well-accepted that the molecular anisotropy of the micro-environment guides this migration3,4, its impact on the pattern…

Cancer cell migration between different body parts is the driving force behind cancer metastasis, which is the main cause of mortality of patients. Migration of cancer cells often proceeds by penetration through narrow cavities in locally…

Cell Behavior · Quantitative Biology 2023-05-02 Qiyao Peng , Fred J Vermolen , Daphne Weihs

We provide a short review of existing models with multiple taxis performed by (at least) one species and consider a new mathematical model for tumor invasion featuring two mutually exclusive cell phenotypes (migrating and proliferating).…

Analysis of PDEs · Mathematics 2020-05-05 Niklas Kolbe , Nikolaos Sfakianakis , Christian Stinner , Christina Surulescu , Jonas Lenz

We study the effect of intratumor heterogeneity in the likelihood of cancer cells moving from a primary tumor to other sites in the human body, generating a metastatic process. We model different scenarios of competition between tumor cells…

Populations and Evolution · Quantitative Biology 2025-10-28 André Rocha , Claudia Manini , José I López , Annick Laruelle

Although a good comprehension of how cancer cells collectively migrate by following molecular rules which influence the state of cell-cell adhesion contacts has been generated, the impact of collective migration on cellular rearrangement…

Cell Behavior · Quantitative Biology 2021-09-21 Ivana Pajic-Lijakovic , Milan Milivojevic

The unwelcome evolution of malignancy during cancer progression emerges through a selection process in a complex heterogeneous population structure. In the present work, we investigate evolutionary dynamics in a phenotypically heterogeneous…

Populations and Evolution · Quantitative Biology 2018-02-07 Ali Mahdipour Shirayeh , Kamran Kaveh , Mohammad Kohandel , Siv Sivaloganathan

Collective cell migration plays a crucial role in numerous biological processes, including tumour growth, wound healing, and the immune response. Often, the migrating population consists of cells with various different phenotypes. This…

Populations and Evolution · Quantitative Biology 2025-04-01 Rebecca M. Crossley , Philip K. Maini , Ruth E. Baker

Tumor growth, which plays a central role in cancer evolution, depends on both the internal features of the cells, such as their ability for unlimited duplication, and the external conditions, e.g., supply of nutrients, as well as the…

Biological Physics · Physics 2018-06-19 Youness Azimzade , Abbas Ali Saberi , Muhammad Sahimi

Cell migration is crucial to many physiological and pathological processes. During migration, a cell adapts its morphology, including the overall morphology and nucleus morphology, in response to various cues in complex microenvironments,…

Biological Physics · Physics 2023-08-28 Yanping Liu , Yang Jiao , Qihui Fan , Xinwei Li , Zhichao Liu , Jun Hu , Jianwei Shuai , Liyu Liu , Zhangyong Li

We present the epithelial-to-mesenchymal transition (EMT) from two perspectives: experimental/technological and theoretical. We review the state of the current understanding of the regulatory networks that underlie EMT in three…

In this thesis we develop minimal models of the relationship between motility, growth, and evolution of cancer cells. We utilise simple simulations of a population of individual cells in space to examine how changes in mechanical properties…

Populations and Evolution · Quantitative Biology 2020-05-20 Chay Paterson