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Math Biosci Eng. 2013 Jun;10(3):925-38. doi: 10.3934/mbe.2013.10.925.

T model of growth and its application in systems of tumor-immune dynamics.

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1
Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA. mtabatabai@cameron.edu

Abstract

In this paper we introduce a new growth model called T growth model. This model is capable of representing sigmoidal growth as well as biphasic growth. This dual capability is achieved without introducing additional parameters. The T model is useful in modeling cellular proliferation or regression of cancer cells, stem cells, bacterial growth and drug dose-response relationships. We recommend usage of the T growth model for the growth of tumors as part of any system of differential equations. Use of this model within a system will allow more flexibility in representing the natural rate of tumor growth. For illustration, we examine some systems of tumor-immune interaction in which the T growth rate is applied. We also apply the model to a set of tumor growth data.

PMID:
23906156
PMCID:
PMC4476034
[Indexed for MEDLINE]
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