ArticlePhilosophical transactions. Series A, Mathematical, physical, and engineering sciences2009
Multi-scale models of cell and tissue dynamics.
Article in Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 37 papers.
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Who cites it
37 citing papers in PubMed.
- Fundamental constraints to the logic of living systems.Interface focus · 2024Review
- A multiscale computational framework for the development of spines in molluscan shells.PLoS computational biology · 2024Article
- Generative models of morphogenesis in developmental biology.Seminars in cell & developmental biology · 2023Review
- Data-driven spatio-temporal modelling of glioblastoma.Royal Society open science · 2023Review
- Optimal regulation of tumour-associated neutrophils in cancer progression.Royal Society open science · 2022Article
- Role of neutrophil extracellular traps in regulation of lung cancer invasion and metastasis: Structural insights from a computational model.PLoS computational biology · 2021Article
- Navigating Multi-Scale Cancer Systems Biology Towards Model-Driven Clinical Oncology and Its Applications in Personalized Therapeutics.Frontiers in oncology · 2021Review
- A unified rheological model for cells and cellularised materials.Royal Society open science · 2020Article
- Multiscale phenomena and patterns in biological systems: special issue in honour of Hans Othmer.Journal of mathematical biology · 2020Article
- Synergistic Effects of Bortezomib-OV Therapy and Anti-Invasive Strategies in Glioblastoma: A Mathematical Model.Cancers · 2019Article
- Article
- Role of extracellular matrix and microenvironment in regulation of tumor growth and LAR-mediated invasion in glioblastoma.PloS one · 2018Article
- Comparison of cell migration mechanical strategies in three-dimensional matrices: a computational study.Interface focus · 2016Article
- Mathematical models of wound healing and closure: a comprehensive review.Medical & biological engineering & computing · 2016Review
- Hybrid models of cell and tissue dynamics in tumor growth.Mathematical biosciences and engineering : MBE · 2015Review
- Differentiated cell behavior: a multiscale approach using measure theory.Journal of mathematical biology · 2015Article
- Glioma follow white matter tracts: a multiscale DTI-based model.Journal of mathematical biology · 2015Article
- Cell resolved, multiparticle model of plastic tissue deformations and morphogenesis.Physical biology · 2014Article
- The effects of cell compressibility, motility and contact inhibition on the growth of tumor cell clusters using the Cellular Potts Model.Journal of theoretical biology · 2014Article
- Choindroitinase ABC I-mediated enhancement of oncolytic virus spread and anti tumor efficacy: a mathematical model.PloS one · 2014Article
Corrections and comments
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Cell and tissue movement are essential processes at various stages in the life cycle of most organisms. The early development of multi-cellular organisms involves individual and collective cell movement; leukocytes must migrate towards sites of infection as part of the immune response; and in cancer, directed movement is involved in invasion and metastasis. The forces needed to drive movement arise from actin polymerization, molecular motors and other processes, but understanding the cell- or tissue-level organization of these processes that is needed to produce the forces necessary for directed movement at the appropriate point in the cell or tissue is a major challenge. In this paper, we present three models that deal with the mechanics of cells and tissues: a model of an arbitrarily deformable single cell, a discrete model of the onset of tumour growth in which each cell is treated individually, and a hybrid continuum-discrete model of the later stages of tumour growth. While the models are different in scope, their underlying mechanical and mathematical principles are similar and can be applied to a variety of biological systems.
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