Journal
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE
Volume 18, Issue 3, Pages 389-398Publisher
UNIV ZIELONA GORA PRESS
DOI: 10.2478/v10006-008-0035-6
Keywords
effector cells; tumor cells; interleukin-2; discrete time delay
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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.
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