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A Model Describing the Response of the Immune System to Mycobacterum Tuberculosis

We present a mathematical model to describe the dynamics of the immune system in the presence of the causative agent of tuberculosis, Mycobacterium tuberculosis. We take into consideration the relations between the bacteria, T lamphocytes, and macrophages. We compute the basic reproductive number to determine under which conditions we get certain disease states: no infection, latency, and infection. The behavior depicted by our model, under certain parameters, demonstrates the dynamics of these three conditions of the disease. We consider a treatment and analyze its effect on the dynamics of the system.

Article Number:
BU-1364-M

Year:
1996

Authors:
Christian Herrera, University of California-Los Angeles
Sharon K. Lima, Loyola Marymount University
Roberto Muñoz, Universidad de Puerto Rico-Humacao
Gloria Ramos, University of California-Santa Cruz
Ariel Rodríguez, Universidad de Puerto Rico-Rio Piedras
Claudia Salzberg, Brown University

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