PMID: 8374530Sep 1, 1993Paper

Growth factors and growth control of heterogeneous cell populations

Bulletin of Mathematical Biology
S Michelson, J T Leith

Abstract

In an earlier work a model of the autocrine and paracrine pathways of tumor growth control was developed (Michelson and Leith. 1991. Autocrine and paracrine growth factors in tumor growth. Bull. math. Biol. 53, 639-656). The target population, a generic tumor, was modeled as a single, homogeneous population using the standard Verhulst equation of logistic growth. Mitogenic signals were represented by modifications to the Malthusian growth parameter and adaptational signals were represented by modifications to the carrying capacity. Three growth scenarios were described: (1) normal tissue wound healing, (2) unperturbed tumor growth, and (3) tumor growth in a radiation damaged environment, a phenomenon termed the Tumor Bed Effect (TBE). In this paper, we extend those results to include a "triad" of growth factor controls (autocrine, paracrine and endocrine) and heterogeneity of the target population. The heterogeneous factors in the model represent either intrinsic, epigenetic or environmental differences in both normally differentiating tissues and tumors. Three types of growth are modeled: (1) normal tissue differentiation or wound healing, assuming no communication between differentiated and undifferentiated cell compartments;...Continue Reading

References

Jan 1, 1991·Bulletin of Mathematical Biology·S Michelson, J Leith
Jan 1, 1990·Bulletin of Mathematical Biology·J A Adam, S A Maggelakis
Sep 21, 1987·Journal of Theoretical Biology·S MichelsonJ T Leith
Jan 1, 1985·Proceedings of the National Academy of Sciences of the United States of America·A B RobertsM B Sporn
Feb 6, 1985·Nature·M B Sporn, A B Roberts
Jan 1, 1983·Advances in Experimental Medicine and Biology·J P Freyer, R M Sutherland
Jan 1, 1984·Journal of Cellular Physiology·J P FreyerR M Sutherland
Oct 9, 1980·The New England Journal of Medicine·M B Sporn, G J Todaro

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Citations

Dec 20, 2000·Transplantation Proceedings·Y IchikawaS Nagano
Jan 2, 2007·Medical Hypotheses·Thomas S Deisboeck, Zhihui Wang
Mar 1, 1997·Bulletin of Mathematical Biology·S Michelson, J T Leith
Sep 1, 1995·Bulletin of Mathematical Biology·S Michelson, J T Leith
Jun 11, 2008·Journal of Cellular Biochemistry·Sunny J-S YooPhilip A Gruppuso
Mar 13, 2010·Bulletin of Mathematical Biology·Raluca EftimieDavid J D Earn
May 10, 2013·ANZ Journal of Surgery·José G TralhãoFrancisco Castro-Sousa
Mar 1, 1995·Bulletin of Mathematical Biology·S Michelson, J T Leith
Dec 3, 2008·Physics in Medicine and Biology·Adrienne CampbellEugene Wong

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