Non-linear model of cancer growth and metastasis: a limiting nutrient as a major determinant of tumor shape and diffusion

A new approach for modelling the spatio-temporal evolution of tumors is presented. To test its validity, a very basic model is considered, which, in spite of its simplicity, is capable of generating a multiplicity of morphologies and growth and migration rates. From an in-vivo scenario of basic life...

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Bibliographic Details
Published in:Medical hypotheses 1999-12, Vol.53 (6), p.497-503
Main Authors: Pescarmona, G.P., Scalerandi, M., Delsanto, P.P., Condat, C.A.
Format: Article
Language:English
Subjects:
Biological and medical sciences
Cell Division
General aspects (metabolism, cell proliferation, established cell line...)
Humans
Medical sciences
Models, Biological
Neoplasm Metastasis
Neoplasms - etiology
Neoplasms - metabolism
Neoplasms - pathology
Nonlinear Dynamics
Tumor cell
Tumors
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Summary:A new approach for modelling the spatio-temporal evolution of tumors is presented. To test its validity, a very basic model is considered, which, in spite of its simplicity, is capable of generating a multiplicity of morphologies and growth and migration rates. From an in-vivo scenario of basic life processes, cancer cell proliferation is described as a competition for basic nutrients. The chosen mathematical treatment and simulation techniques permit a direct implementation of the local nonlinear couplings existing between the various cell populations and the free and bound nutrient concentration. A discussion of the results and proposed improvements and applications of the model is also presented.
ISSN:0306-9877
1532-2777
DOI:10.1054/mehy.1999.0798