title: T model of growth and its application in systems of tumor-immune dynamics.
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.
authors.affiliation: Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA. mtabatabai@cameron.edu
authors.forename: Mohammad A
authors.initials: MA
authors.lastname: Tabatabai
authors.forename: Wayne M
authors.initials: WM
authors.lastname: Eby
authors.forename: Karan P
authors.initials: KP
authors.lastname: Singh
authors.forename: Sejong
authors.initials: S
authors.lastname: Bae
mesh_terms: D000818:Animals; D049109:Cell Proliferation; D006801:Humans; D016015:Logistic Models; D055641:Mathematical Concepts; D008954:Models, Biological; D009369:Neoplasms / Q000276:immunology* / Q000473:pathology* / Q000628:therapy; D017711:Nonlinear Dynamics; D011157:Population Dynamics; D034622:RNA Interference; D049490:Systems Biology
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