American Institute of Mathematical Sciences

Advanced
2005, 2(3): 535-560. doi: 10.3934/mbe.2005.2.535

A Metapopulation Model Of Granuloma Formation In The Lung During Infection With Mycobacterium Tuberculosis

Suman Ganguli 1, , David Gammack 2, and  Denise E. Kirschner 3,

1. 

Biosystems Group, University of California, San Francisco, 513 Parnassus Ave., San Francisco, CA 94143, United States
2. 

Department of Mathematics, University of Michigan, 525 E. University Ave., Ann Arbor, MI 48109, United States
3. 

Department of Microbiology and Immunology, University of Michigan Medical School, 1150 Medical Center Drive, Ann Arbor, MI 48109, United States

Received  January 2005 Revised  July 2005 Published  August 2005

The immune response to Mycobacterium tuberculosis infection (Mtb) is the formation of unique lesions, called granulomas. How well these granulomas form and function is a key issue that might explain why individuals experience different disease outcomes. The spatial structures of these granulomas are not well understood. In this paper, we use a metapopulation framework to develop a spatio-temporal model of the immune response to Mtb. Using this model, we are able to investigate the spatial organization of the immune response in the lungs to Mtb. We identify both host and pathogen factors that contribute to successful infection control. Additionally, we identify specific spatial interactions and mechanisms important for successful granuloma formation. These results can be further studied in the experimental setting.
Keywords: chemotaxis, metapopulation, mathematical model, diffusion., granuloma, Mycobacterium tuberculosis.
Mathematics Subject Classification: 92C9.
Citation: Suman Ganguli, David Gammack, Denise E. Kirschner. A Metapopulation Model Of Granuloma Formation In The Lung During Infection With Mycobacterium Tuberculosis. Mathematical Biosciences & Engineering, 2005, 2 (3) : 535-560. doi: 10.3934/mbe.2005.2.535
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