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There is a widening recognition that cancer cells are products of complex developmental processes. Carcinogenesis and metastasis formation are increasingly described as systems-level, network phenomena. Here we propose that malignant…

Molecular Networks · Quantitative Biology 2013-09-18 David M. Gyurko , Daniel V. Veres , Dezso Modos , Katalin Lenti , Tamas Korcsmaros , Peter Csermely

Toxoplasma gondii is the causative agent responsible for toxoplasmosis and serves as one of the most common parasites in the world. For a successful lytic cycle, T. gondii must traverse biological barriers in order to invade host cells, and…

Quantitative Methods · Quantitative Biology 2017-08-21 Mojtaba Sedigh Fazli , Stephen Andrew Vella , Silvia N. J. Moreno , Shannon Quinn

Proteins' fuzziness are features for communicating changes in cell signaling instigated by binding with secondary messengers, such as calcium ions, associated with the coordination of muscle contraction, neurotransmitter release, and gene…

Quantitative Methods · Quantitative Biology 2024-07-25 Pengzhi Zhang , Jules Nde , Yossi Eliaz , Nathaniel Jennings , Piotr Cieplak , Margaret. S. Cheung

Cell migration is an indispensable physiological and pathological process for normal tissue development and cancer metastasis, which is greatly regulated by intracellular signal pathways and extracellular microenvironment (ECM). However,…

Biological Physics · Physics 2020-10-27 Yanping Liu , Yang Jiao , Guoqiang Li , Gao Wang , Jingru Yao , Guo Chen , Silong Lou , Jianwei Shuai , Liyu Liu

A number of biological processes, such as embryo development, cancer metastasis or wound healing, rely on cells moving in concert. The mechanisms leading to the emergence of coordinated motion remain however largely unexplored. Although…

Cell Behavior · Quantitative Biology 2011-08-23 Alexandre J Kabla

Intracellular cargo transport can arise from passive diffusion, active motor-driven transport along cytoskeletal filament networks, and passive advection by fluid flows entrained by such motor/cargo motion. Active and advective transport…

Biological Physics · Physics 2012-07-24 P. Khuc Trong , J. Guck , R. E. Goldstein

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

Knowledge regarding the kinetics of metastatic tumor formation, as related to the growth of the primary tumor, represents a fundamental issue in cancer biology. Using an in vivo mammalian model, we show here that one can obtain useful…

Tissues and Organs · Quantitative Biology 2007-05-23 Steve P. Lee , Ji-Rong Sun , Hong Qian , William H. McBride , H. Rodney Withers

Cellular self-assembly and organization are fundamental steps for the development of biological tissues. In this paper, within the framework of a cellular automata model, we address how an ordered tissue pattern spontaneously emerges from a…

Biological Physics · Physics 2019-10-24 Debangana Mukhopadhyay , Rumi De

Notch signaling is an evolutionary conserved cell-cell communication pathway. Besides regulating cell-fate decisions at an individual cell level, Notch signaling coordinates the emergent spatiotemporal patterning in a tissue through…

Molecular Networks · Quantitative Biology 2020-05-13 Federico Bocci , Jose Nelson Onuchic , Mohit Kumar Jolly

In this work, we present a coupled 3D-1D model of solid tumor growth within a dynamically changing vascular network to facilitate realistic simulations of angiogenesis. Additionally, the model includes erosion of the extracellular matrix,…

Tissues and Organs · Quantitative Biology 2021-06-23 Marvin Fritz , Prashant K. Jha , Tobias Köppl , J. Tinsley Oden , Andreas Wagner , Barbara Wohlmuth

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

Collective cell migration plays a central role in tissue development, morphogenesis, wound repair and cancer progression. With the growing realization that physical forces mediate cell motility in development and physiology, a key…

Biological Physics · Physics 2018-12-07 Shiladitya Banerjee , M. Cristina Marchetti

In this paper, we investigate the tumor instability by employing both analytical and numerical techniques to validate previous results and extend the analytical findings presented in a prior study by Feng et al 2023. Building upon the…

Analysis of PDEs · Mathematics 2024-01-11 Jian-Guo Liu , Thomas Witelski , Xiaoqian Xu , Jiaqi Zhang

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

Cells exhibit qualitatively different behaviors on substrates with different rigidities. The fact that cells are more polarized on the stiffer substrate motivates us to construct a two-dimensional cell with the distribution of focal…

Biological Physics · Physics 2017-07-26 Guangyuan Yu , Jingchen Feng , Haoran Man , Herbert Levine

The behaviour and fate of tissue cells is controlled by the rigidity and geometry of their adhesive environment, possibly through forces localized to sites of adhesion. We introduce a mechanical model that predicts cellular force…

Cell Behavior · Quantitative Biology 2009-07-24 Ilka B. Bischofs , Sebastian S. Schmidt , Ulrich S. Schwarz

In this work, we present and analyze a mathematical model for tumor growth incorporating ECM erosion, interstitial flow, and the effect of vascular flow and nutrient transport. The model is of phase-field or diffused-interface type in which…

Analysis of PDEs · Mathematics 2021-06-23 Marvin Fritz , Prashant K. Jha , Tobias Köppl , J. Tinsley Oden , Barbara Wohlmuth

The motor part of a crawling eukaryotic cell can be represented schematically as an active continuum layer. The main active processes in this layer are protrusion, originating from non-equilibrium polymerization of actin fibers,…

Biological Physics · Physics 2015-01-29 Pierre Recho , Lev Truskinovsky

In embryogenesis, epithelial cells, acting as individual entities or as coordinated aggregates in a tissue, exhibit strong coupling between chemical signalling and mechanical responses to internally or externally applied stresses.…

Tissues and Organs · Quantitative Biology 2023-06-27 Katerina Kaouri , Paul E. Méndez , Ricardo Ruiz-Baier