Cited by 100Cellular Mechanics and InteractionsMathematical Biology Tumor GrowthCancer Cells and Metastasis

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Multi-scale models of cell and tissue dynamics

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Stolarska, Magdalena A., Kim, Yangjin, Othmer, Hans G.·2009·Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

DOI 10.1098/rsta.2009.0095PMC PMC3263796

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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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Authors: Stolarska, M. A., Kim, Y., & Othmer, H. G.
Affiliations: University of St. Thomas - Minnesota (US)
Corresponding author: Othmer, Hans G.
ORCID: Stolarska, Magdalena A.
Kim, Yangjin
Othmer, Hans G.
Venue: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Publisher: The Royal Society
Published: 2009-09-13
Volume: 367
Issue: 1902
Pages: 3525-3553
ISSN: 1364-503X (ISSN-L)
1471-2962
DOI: 10.1098/rsta.2009.0095
PMC: PMC3263796
OpenAlex: W2101405933
Cited by: 100
References: 67
Citations by year: 2026: 2 · 2025: 1 · 2024: 4 · 2023: 5 · 2022: 2 · 2021: 4 · 2020: 2 · 2019: 6 · 2018: 4 · 2017: 4 · 2016: 7 · 2015: 7 · 2014: 9 · 2013: 15 · 2012: 7
FWCI: 4.15
Type: journal article
Language: en
Open access: green
www.ncbi.nlm.nih.gov
Licence: royalsociety.org/journals/ethics-policies/data-sharing-mining/ (tdm)
Locations: Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences (publishedVersion)
PubMed Central (publishedVersion)
PubMed (publishedVersion)
Topics: Life Sciences › Biochemistry, Genetics and Molecular Biology › Cell Biology › Cellular Mechanics and Interactions
Physical Sciences › Mathematics › Modeling and Simulation › Mathematical Biology Tumor Growth
Health Sciences › Medicine › Oncology › Cancer Cells and Metastasis
Keywords: cell mechanics, tissue mechanics, collective cell migration, tumor growth, discrete cell model, actin polymerization, molecular motors, tumor invasion and metastasis, leukocyte migration, multiscale modeling
MeSH terms: Animals, Biomechanical Phenomena, Cell Movement, Elasticity, Humans, Models, Biological, Neoplasms, Mechanotransduction, Cellular, Cell Proliferation

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