Mathematics (HMC), Mathematics (Pomona)
Recent experimental studies by Diefenbach et al.  have brought to light new information about how the immune system of the mouse responds to the presence of a tumor. In the Diefenbach studies, tumor cells are modiﬁed to express higher levels of immune stimulating NKG2D ligands. Experimental results show that sufﬁciently high levels of ligand expression create a signiﬁcant barrier to tumor establishment in the mouse. Additionally, ligand transduced tumor cells stimulate protective immunity to tumor rechallenge. Based on the results of the Diefenbach experiments, we have developed a mathematical model of tumor growth to address some of the questions that arise regarding the mechanisms involved in the immune response to a tumor challenge. The model focuses on the interaction of the NK and CD8+ T cells with various tumor cell lines using a system of differential equations. We propose new forms for the tumor-immune competition terms, and validate these forms through comparison with the experimental data of .
© 2003 Elsevier Science Ltd. All rights reserved.
L.G. de Pillis and A.E. Radunskaya, "A Mathematical Model of Immune Response to Tumor Invasion", Computational Fluid and Solid Mechanics 2003, Proceedings of the Second M.I.T. Conference on Computational Fluid Dynamics and Solid Mechanics, pp. 1661-1668, June 2003.