Macrophage response to Mycobacterium tuberculosis infection
Macrophage response to Mycobacterium tuberculosis infection
The immune response to Mycobacteriumtuberculosis (Mtb) infection is the formation of multicellular lesions, or granolomas, in the lung of the individual. However, the structure of the granulomas and the spatial distribution of the immune cells within is not well understood. In this paper we develop a mathematical model investigating the early and initial immune response to Mtb. The model consists of coupled reaction-diffusion-advection partial differential equations governing the dynamics of the relevant macrophage and bacteria populations and a bacteria-produced chemokine. Our novel application of mathematical concepts of internal states and internal velocity allows us to begin to study this unique immunological structure. Volume changes resulting from proliferation and death terms generate a velocity field by which all cells are transported within the forming granuloma. We present numerical results for two distinct infection outcomes: controlled and uncontrolled granuloma growth. Using a simplified model we are able to analytically determine conditions under which the bacteria population decreases, representing early clearance of infection, or grows, representing the initial stages of granuloma formation.
Granuloma, Immune response, Internal states, Internal velocity, Mycobacterium tuberculosis, Reaction-diffusion-advection
218-242
Gammack, D.
65b60f25-7546-4132-99da-e140f4727f8d
Doering, C. R.
46c37482-43e3-40d4-87cb-48853f55f492
Kirschner, D. E.
d0e52b50-4e5f-4b34-ae70-f8d9e89bbd9d
February 2004
Gammack, D.
65b60f25-7546-4132-99da-e140f4727f8d
Doering, C. R.
46c37482-43e3-40d4-87cb-48853f55f492
Kirschner, D. E.
d0e52b50-4e5f-4b34-ae70-f8d9e89bbd9d
Gammack, D., Doering, C. R. and Kirschner, D. E.
(2004)
Macrophage response to Mycobacterium tuberculosis infection.
Journal of Mathematical Biology, 48 (2), .
(doi:10.1007/s00285-003-0232-8).
Abstract
The immune response to Mycobacteriumtuberculosis (Mtb) infection is the formation of multicellular lesions, or granolomas, in the lung of the individual. However, the structure of the granulomas and the spatial distribution of the immune cells within is not well understood. In this paper we develop a mathematical model investigating the early and initial immune response to Mtb. The model consists of coupled reaction-diffusion-advection partial differential equations governing the dynamics of the relevant macrophage and bacteria populations and a bacteria-produced chemokine. Our novel application of mathematical concepts of internal states and internal velocity allows us to begin to study this unique immunological structure. Volume changes resulting from proliferation and death terms generate a velocity field by which all cells are transported within the forming granuloma. We present numerical results for two distinct infection outcomes: controlled and uncontrolled granuloma growth. Using a simplified model we are able to analytically determine conditions under which the bacteria population decreases, representing early clearance of infection, or grows, representing the initial stages of granuloma formation.
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Published date: February 2004
Keywords:
Granuloma, Immune response, Internal states, Internal velocity, Mycobacterium tuberculosis, Reaction-diffusion-advection
Identifiers
Local EPrints ID: 480340
URI: http://eprints.soton.ac.uk/id/eprint/480340
ISSN: 0303-6812
PURE UUID: 0b0e0b3b-36ec-44a8-9aa6-422b0834f38c
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Date deposited: 01 Aug 2023 17:24
Last modified: 17 Mar 2024 03:33
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Contributors
Author:
C. R. Doering
Author:
D. E. Kirschner
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