Displaying similar documents to “A mathematical model of HIV-1 infection including the saturation effect of healthy cell proliferation”

Analysis of immunotherapy models in the context of cancer dynamics

Zuzanna Szymańska (2003)

International Journal of Applied Mathematics and Computer Science

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A basic mathematical model of the immune response when cancer cells are recognized is proposed. The model consists of six ordinary differential equations. It is extended by taking into account two types of immunotherapy: active immunotherapy and adoptive immunotherapy. An analysis of the corresponding models is made to answer the question which of the presented methods of immunotherapy is better. The analysis is completed by numerical simulations which show that the method of adoptive...

Mathematical modeling of the competition between acquired immunity and cancer

Mikhail Kolev (2003)

International Journal of Applied Mathematics and Computer Science

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In this paper we propose and analyse a model of the competition between cancer and the acquired immune system. The model is a system of integro-differential bilinear equations. The role of the humoral response is analyzed. The simulations are related to the immunotherapy of tumors with antibodies.