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.
Non-linear model of cancer growth and metastasis: a limiting nutrient as a major determinant of tumor shape and diffusion / G.P. Pescarmona; M. Scalerandi; P.P. Delsanto; C.A. Condat. - In: MEDICAL HYPOTHESES. - ISSN 0306-9877. - 53:6(1999), pp. 497-503.
|Titolo:||Non-linear model of cancer growth and metastasis: a limiting nutrient as a major determinant of tumor shape and diffusion|
|Data di pubblicazione:||1999|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1054/mehy.1999.0798|
|Appare nelle tipologie:||1.1 Articolo in rivista|