Sep 13, 2005

Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations

Journal of Theoretical Biology
L G de PillisA E Radunskaya

Abstract

We develop and analyze a mathematical model, in the form of a system of ordinary differential equations (ODEs), governing cancer growth on a cell population level with combination immune, vaccine and chemotherapy treatments. We characterize the ODE system dynamics by locating equilibrium points, determining stability properties, performing a bifurcation analysis, and identifying basins of attraction. These system characteristics are useful not only to gain a broad understanding of the specific system dynamics, but also to help guide the development of combination therapies. Numerical simulations of mixed chemo-immuno and vaccine therapy using both mouse and human parameters are presented. We illustrate situations for which neither chemotherapy nor immunotherapy alone are sufficient to control tumor growth, but in combination the therapies are able to eliminate the entire tumor.

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  • Citations90

Citations

Mentioned in this Paper

Doxorubicin
Pathologic Cytolysis
Monoclonal Antibodies
Tumor Cells, Uncertain Whether Benign or Malignant
Immune Response
Monoclonal antibodies, antineoplastic
Immune System
Antineoplastic Agents
T-Lymphocyte
Lymphocytes as Percentage of Blood Leukocytes (Lab Test)

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