The DOI matches its Crossref record; 65 of the 67 references it cites were found in a registry or an index.
Multi-scale models of cell and tissue dynamics
Open accessAbstract
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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“Despite its limitations [222], new theories inspired in physics have validated many of those intuitions [223–225].”
From Fundamental constraints to the logic of living systems (2024) · cites this paper as [224]
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Cites
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Cited by
Nonlinear modelling of cancer: bridging the gap between cells and tumours
Lowengrub, J. S., Frieboes, H. B., Jin, F., Chuang, Y.-L., Li, X., Macklin, P., Wise, S. M., & Vittorio Cristini, C. (2009) · Nonlinearity · doi:10.1088/0951-7715/23/1/r01 · Cited by 565
Deisboeck, T. S., Wang, Z., Macklin, P., & Vittorio Cristini, C. (2011) · Annual Review of Biomedical Engineering · doi:10.1146/annurev-bioeng-071910-124729 · Cited by 477
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Three-dimensional multispecies nonlinear tumor growth—II: Tumor invasion and angiogenesis
Frieboes, H. B., Jin, F., Chuang, Y.-L., Wise, S. M., Lowengrub, J. S., & Vittorio Cristini, C. (2010) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2010.02.036 · Cited by 236
Model for self-polarization and motility of keratocyte fragments
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Metadata
- Authors
- Stolarska, M. A., Kim, Y., & Othmer, H. G.
- Affiliations
- University of St. Thomas - Minnesota (US)
- Corresponding author
- 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
- 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
- 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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- Stolarska, M. A., Kim, Y., & Othmer, H. G. (2009). Multi-scale models of cell and tissue dynamics. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. https://doi.org/10.1098/rsta.2009.0095
