Non-Linear Mathematical Model of the Interaction between Tumor and Oncolytic Viruses

Affiliation(s)

Department of Mathematics, The Madura College, Madurai, India.

Department of Mathematics, V V College of Engineering, Tisaiyanvilai, India.

Department of Mathematics, The Madura College, Madurai, India.

Department of Mathematics, V V College of Engineering, Tisaiyanvilai, India.

Abstract

A mathematical modeling of tumor therapy with oncolytic viruses is discussed. The model consists of two coupled, deterministic differential equations allowing for cell reproduction and death, and cell infection. The model is one of the conceptual mathematical models of tumor growth that treat a tumor as a dynamic society of interacting cells. In this paper, we obtain an approximate analytical expression of uninfected and infected cell population by solving the non-linear equations using Homotopy analysis method (HAM). Furthermore, the results are compared with the numerical simulation of the problem using Matlab program. The obtained results are valid for the whole solution domain.

A mathematical modeling of tumor therapy with oncolytic viruses is discussed. The model consists of two coupled, deterministic differential equations allowing for cell reproduction and death, and cell infection. The model is one of the conceptual mathematical models of tumor growth that treat a tumor as a dynamic society of interacting cells. In this paper, we obtain an approximate analytical expression of uninfected and infected cell population by solving the non-linear equations using Homotopy analysis method (HAM). Furthermore, the results are compared with the numerical simulation of the problem using Matlab program. The obtained results are valid for the whole solution domain.

Cite this paper

S. Usha, V. Abinaya, S. Loghambal and L. Rajendran, "Non-Linear Mathematical Model of the Interaction between Tumor and Oncolytic Viruses,"*Applied Mathematics*, Vol. 3 No. 9, 2012, pp. 1089-1096. doi: 10.4236/am.2012.39160.

S. Usha, V. Abinaya, S. Loghambal and L. Rajendran, "Non-Linear Mathematical Model of the Interaction between Tumor and Oncolytic Viruses,"

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