International Journal of applied mathematics and computer science

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Paper details

Number 3 - September 2008
Volume 18 - 2008

Immunotherapy with interleukin-2: A study based on mathematical modeling

Sandip Banerjee

Abstract
The role of interleukin-2 (IL-2) in tumor dynamics is illustrated through mathematical modeling, using delay differential equations with a discrete time delay (a modified version of the Kirshner-Panetta model). Theoretical analysis gives an expression for the discrete time delay and the length of the time delay to preserve stability. Numerical analysis shows that interleukin-2 alone can cause the tumor cell population to regress.

Keywords
effector cells, tumor cells, interleukin-2, discrete time delay

DOI
10.2478/v10006-008-0035-6