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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

The dispersal of cells from an initially constrained location is a crucial aspect of many physiological phenomena ranging from morphogenesis to tumour spreading. In such processes, the way cell-cell interactions impact the motion of single…

A large number of biological systems - from bacteria to sheep - can be described as ensembles of self-propelled agents (active particles) with a complex internal dynamic that controls the agent's behavior: resting, moving slow, moving fast,…

Biological Physics · Physics 2021-09-03 L. Gómez-Nava , T. Goudon , F. Peruani

We propose a two-component reaction-transport model for the migration-proliferation dichotomy in the spreading of tumor cells. By using a continuous time random walk (CTRW) we formulate a system of the balance equations for the cancer cells…

Cell Behavior · Quantitative Biology 2015-06-26 Sergei Fedotov , Alexander Iomin

The capability of cells to form surface extensions to non-locally probe the surrounding environment plays a key role in cell migration. The existing mathematical models for migration of cell populations driven by this non-local form of…

Cell Behavior · Quantitative Biology 2025-12-24 Tommaso Lorenzi , Nadia Loy , Chiara Villa

Cell motility in higher organisms (eukaryotes) is crucial to biological functions ranging from wound healing to immune response, and also implicated in diseases such as cancer. For cells crawling on hard surfaces, significant insights into…

Soft Condensed Matter · Physics 2015-06-24 E. Tjhung , A. Tiribocchi , D. Marenduzzo , M. E. Cates

Resistance switching memory cells such as electrochemical metallization cells and valence change mechanism cells have the potential to revolutionize information processing and storage. However, the creation of deterministic resistance…

Mesoscale and Nanoscale Physics · Physics 2023-10-03 V. A. Slipko , Y. V. Pershin

The one-dimensional crawling movement of a cell is considered in this theoretical study. Our active gel model shows that for a cell with weakly mechanosensitive adhesion complexes, as myosin contractility increases, a cell starts to move at…

Soft Condensed Matter · Physics 2023-01-05 Jen-Yu Lo , Yuan-Heng Tseng , Hsuan-Yi Chen

Intracellular transport of organelles is fundamental to cell function and health. The mounting evidence suggests that this transport is in fact anomalous. However, the reasons for the anomaly is still under debate. We examined experimental…

Subcellular Processes · Quantitative Biology 2018-12-10 Nickolay Korabel , Thomas A. Waigh , Sergei Fedotov , Viki J. Allan

Movement of cell clusters along extracellular matrices (ECM) during tissue development, wound healing, and early stage of cancer invasion involve various inter-connected migration modes such as: (1) cell movement within clusters, (2)…

Cell Behavior · Quantitative Biology 2023-02-14 Ivana Pajic-Lijakovic , Milan Milivojevic

We study time continuous branching processes with exponentially distributed lifetimes, with two types of cells that proliferate according to binary fission. A range of possible system dynamics are considered, each of which is characterized…

Probability · Mathematics 2022-04-27 Nam H Nguyen , Marek Kimmel

Multicellular tissues are the building blocks of many biological systems and organs. These tissues are not static, but dynamically change over time. Even if the overall structure remains the same there is a turnover of cells within the…

Tissues and Organs · Quantitative Biology 2021-02-12 Domenic P. J. Germano , James M. Osborne

Virus trafficking is fundamental for infection success and plasmid cytosolic trafficking is a key step of gene delivery. Based on the main physical properties of the cellular transport machinery such as microtubules, motor proteins, our…

Quantitative Methods · Quantitative Biology 2007-12-21 Thibault Lagache , David Holcman

Tumor-immune interactions are shaped by both antigenic heterogeneity and stochastic perturbations in the tumor microenvironment, yet the mathematical mechanisms underlying immune phase transitions remain poorly understood. We propose a…

Populations and Evolution · Quantitative Biology 2025-09-16 Mengfan Tan , Shaoqing Chen , Chunjin Wei , Da Zhou

T cells undergo large shape changes (morphodynamics) when migrating. While progress has been made elucidating the molecular basis of cell migration, statistical characterization of morphodynamics and migration has been limited, particularly…

Cell Behavior · Quantitative Biology 2024-08-09 Yeeren I. Low

We have recorded the swarming-like collective migration of a large number of keratocytes (tissue cells obtained from the scales of goldfish) using long-term videomicroscopy. By increasing the overall density of the migrating cells, we have…

Cell Behavior · Quantitative Biology 2009-11-13 Balint Szabo , Gergely J. Szollosi , Balazs Gonci , Zsofi Juranyi , David Selmeczi , Tamas Vicsek

Cell migration in morphogenesis and cancer metastasis typically involves interplay between different cell types. We construct and study a minimal, one-dimensional model comprised of two different motile cells with each cell represented as…

Soft Condensed Matter · Physics 2017-09-20 David Mayett , Nicholas Bitten , Moumita Das , J. M. Schwarz

The mechanics of crawling cells on a substrate is investigated by using a minimal model that satisfies the force-free condition. A cell is described by two subcellular elements connected by a linear actuator that changes the length of the…

Soft Condensed Matter · Physics 2018-04-18 Mitsusuke Tarama , Ryoichi Yamamoto

The large scale behaviour of a population of cells that grow and interact through the concentration field of the chemicals they secrete is studied using dynamical renormalization group methods. The combination of the effective long-range…

Cell Behavior · Quantitative Biology 2015-01-19 Anatolij Gelimson , Ramin Golestanian

We study a stochastic epidemic model consisting of elements (organisms in a community or cells in tissue) with fixed positions, in which damage or disease is transmitted by diffusing agents ("signals") emitted by infected individuals. The…

Populations and Evolution · Quantitative Biology 2015-06-05 Fernando P. Faria , Ronald Dickman