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Mathematical Biosciences and Engineering

2013, Volume 10, Issue 3: 925-938. doi: 10.3934/mbe.2013.10.925
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T model of growth and its application in systems of tumor-immunedynamics

  • 1.
    Department of Mathematical Sciences, Cameron University, Lawton, OK 73505
  • 2.
    School of Medicine, University of Alabama at Birmingham, Birmingham AL 35294
  • Received: 01 May 2012 Accepted: 29 June 2018 Published: 01 April 2013

  • MSC : 91B62, 62P10.

  • In this paper we introduce a new growth model called Tgrowth model. This model is capable of representing sigmoidal growth as wellas biphasic growth. This dual capability is achieved without introducingadditional parameters. The T model is useful in modeling cellularproliferation or regression of cancer cells, stem cells, bacterial growth anddrug dose-response relationships. We recommend usage of the T growth model forthe growth of tumors as part of any system of differential equations. Use ofthis model within a system will allow more flexibility in representing thenatural rate of tumor growth. For illustration, we examine some systems oftumor-immune interaction in which the T growth rate is applied. We also applythe model to a set of tumor growth data.

    Citation: Mohammad A. Tabatabai, Wayne M. Eby, Karan P. Singh, Sejong Bae. T model of growth and its application in systems of tumor-immunedynamics[J]. Mathematical Biosciences and Engineering, 2013, 10(3): 925-938. doi: 10.3934/mbe.2013.10.925

    Related Papers:

  • In this paper we introduce a new growth model called Tgrowth model. This model is capable of representing sigmoidal growth as wellas biphasic growth. This dual capability is achieved without introducingadditional parameters. The T model is useful in modeling cellularproliferation or regression of cancer cells, stem cells, bacterial growth anddrug dose-response relationships. We recommend usage of the T growth model forthe growth of tumors as part of any system of differential equations. Use ofthis model within a system will allow more flexibility in representing thenatural rate of tumor growth. For illustration, we examine some systems oftumor-immune interaction in which the T growth rate is applied. We also applythe model to a set of tumor growth data.


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  • © 2013 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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