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A major goal of modern computational biology is to simulate the collective behaviour of large cell populations starting from the intricate web of molecular interactions occurring at the microscopic level. In this paper we describe a…

Biological Physics · Physics 2007-05-23 Roberto Chignola , Edoardo Milotti

Amoeboid motion is a dynamic mode of cell motility essential for processes such as the immune response and wound healing. This review examines recent developments in the mathematical and computational modeling of amoeboid crawling, focusing…

Biological Physics · Physics 2026-03-17 Sergio Alonso , Carsten Beta

Substrate-based cell motility is essential for fundamental biological processes, such as tissue growth, wound healing and immune response. Even if a comprehensive understanding of this motility mode remains elusive, progress has been…

Cell Behavior · Quantitative Biology 2016-05-23 Wieland Marth , Axel Voigt

Understanding the mechanisms of interactions within cells, tissues, and organisms is crucial to driving developments across biology and medicine. Mathematical modeling is an essential tool for simulating biological systems and revealing…

Molecular Networks · Quantitative Biology 2024-08-13 Lingxia Qiao , Ali Khalilimeybodi , Nathaniel J Linden-Santangeli , Padmini Rangamani

All cells must keep time to consistently perform vital biological functions. To that end, the coupling and interrelatedness of diverse subsecond events in the complex cellular environment, such as protein folding or translation rates,…

Subcellular Processes · Quantitative Biology 2012-10-02 Sepehr Ehsani

Recent biological experiments have shown that certain types of cells are able to move in structured and confined environment even without the activation of focal adhesion. Focusing on this particular phenomenon and based on previous works,…

Analysis of PDEs · Mathematics 2022-12-05 Chiara Giverso , Gaspard Jankowiak , Luigi Preziosi , Christian Schmeiser

While it is commonly observed that the shape dynamics of mammalian cells can undergo large random fluctuations, theoretical models aiming at capturing cell mechanics often focus on the deterministic part of the motion. In this paper, we…

Biological Physics · Physics 2021-04-07 Vikram Deshpande , Antonio DeSimone , Robert McMeeking , Pierre Recho

The interactions between diffusing molecules and membrane-bound receptors drive numerous cellular processes. In this work, we develop a spatial model of molecular interactions with membrane receptors by homogenizing the cell membrane and…

Quantitative Methods · Quantitative Biology 2025-01-24 Anil Cengiz , Sean D Lawley

Cellular populations such as avascular tumors and microbial biofilms may "invade" or grow into surrounding populations. The invading population is often comprised of a heterogeneous mixture of cells with varying growth rates. The population…

Biological Physics · Physics 2025-12-05 Clarisa Castillo , Maxim O. Lavrentovich

Collective cell migration in cohesive units is vital for tissue morphogenesis, wound repair, and immune response. While the fundamental driving forces for collective cell motion stem from contractile and protrusive activities of individual…

The migratory dynamics of cells can be influenced by the complex micro-environment through which they move. It remains unclear how the motility machinery of confined cells responds and adapts to their micro-environment. Here, we propose a…

Biological Physics · Physics 2023-12-04 Johannes Flommersfeld , Stefan Stöberl , Omar Shah , Joachim O. Rädler , Chase P. Broedersz

We present a continuum model trained on molecular dynamics (MD) simulations for cellular membranes composed of an arbitrary number of lipid types. The model is constructed within the formalism of dynamic density functional theory and can be…

Collective cell motility is crucial to many biological processes including morphogenesis, wound healing, and cancer invasion. Recently, the biology and biophysics communities have begun to use the term cell jamming to describe the…

Biological Physics · Physics 2021-02-23 Elizabeth Lawson-Keister , M. Lisa Manning

Since its foundations, more than one hundred years ago, the field of structural biology has strived to understand and analyze the properties of molecules and their interactions by studying the structure that they take in 3D space. However,…

Biomolecules · Quantitative Biology 2023-02-27 Gabriele Corso

The knowledge of cell molecular mechanisms implicated in human diseases is expanding and should be converted into guidelines for deciphering pathological cell signaling and suggesting appropriate treatment. The basic assumption is that…

Molecular Networks · Quantitative Biology 2015-12-17 Inna Kuperstein

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

Mathematical and computational models can assist in gaining an understanding of cell behavior at many levels of organization. Here, we review models in the literature that focus on eukaryotic cell motility at 3 size scales: intracellular…

Cell Behavior · Quantitative Biology 2021-01-27 Andreas Buttenschön , Leah Edelstein-Keshet

The spatiotemporal coordination and regulation of cell proliferation is fundamental in many aspects of development and tissue maintenance. Cells have the ability to adapt their division rates in response to mechanical constraints, yet we do…

Quantitative Methods · Quantitative Biology 2024-04-25 Carles Falcó , Daniel J. Cohen , José A. Carrillo , Ruth E. Baker

Tumor cells invade individually or in groups, mediated by mechanical interactions between cells and their surrounding matrix. These multicellular dynamics are reminiscent of leader-follower coordination and epithelial-mesenchymal…

Cell Behavior · Quantitative Biology 2022-06-28 Alex M. Hruska , Haiqian Yang , Susan E. Leggett , Ming Guo , Ian Y. Wong

Exchange of biochemical substances is essential way in establishing communication between bacterial cells. It is noticeable that all phases of the process are heavily influenced by perturbations of either internal or external parameters.…

Chaotic Dynamics · Physics 2010-08-18 Igor Balaz , Dragutin T. Mihailovic