Article citationsMore>>
F. R. Khuri, J. Nemunaitis, I. Ganly, J. Arseneau, I. F. Tannock, L. Romel, M. Gore, J. Ironside, R. H. MacDougall, C. Heise, B. Randlev, A. M. Gillenwater, P. Bruso, S. B. Kaye, W. K. Hong and D. H. Kirn, “A Controlled Trial of Intratumoral ONYX-015, a SelectivelyReplicating Adenovirus, in Combination with Cisplatin and 5-Fluorouracil in Patients with Recurrent Head and Neck Cancer,” Nature Medicine, Vol. 6, No. 8, 2000, pp. 879-885. doi:10.1038/78638
has been cited by the following article:
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TITLE:
Non-Linear Mathematical Model of the Interaction between Tumor and Oncolytic Viruses
AUTHORS:
Seetharaman Usha, Vairamani Abinaya, Shunmugham Loghambal, Lakshmanan Rajendran
KEYWORDS:
Mathematical Modeling; Non-Linear Differential Equations; Numerical Simulation; Homotopy Analysis Method; Tumor Cells; Oncolytic Viruses
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.9,
September
27,
2012
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.
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