<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Immunotherapy with Interleukin-2: A Study Based on Mathematical Modeling

Indian Institute of Technology and Science Rooorkee (IITR), Roorkee 247667, Uttarakhand, India

International Journal of Applied Mathematics and Computer Science

{"article-title":"Immunotherapy with Interleukin-2: A Study Based on Mathematical Modeling"}

The role of interleukin-2 (IL-2) in tumor dynamics is illustrated through mathematical modeling, using delay differential equations with a discrete time delay...

Immunotherapy with Interleukin-2: A Study Based on Mathematical Modeling

Publié en ligne: 06 oct. 2008

Pages: 389 - 398

DOI: https://doi.org/10.2478/v10006-008-0035-6

Mots clés
effector cells, tumor cells, interleukin-2, discrete time delay

This content is open access.

Immunotherapy with Interleukin-2: A Study Based on Mathematical Modeling

Publié en ligne: 06 oct. 2008

Pages: 389 - 398

DOI: https://doi.org/10.2478/v10006-008-0035-6

Mots cléseffector cells, tumor cells, interleukin-2, discrete time delay

This content is open access.

Mots clés
effector cells, tumor cells, interleukin-2, discrete time delay