Understanding the immune response in tuberculosis using different mathematical models and biological scales
Understanding the immune response in tuberculosis using different mathematical models and biological scales
The use of different mathematical tools to study biological processes is necessary to capture effects occurring at different scales. Here we study as an example the immune response to infection with the bacteria Mycobacterium tuberculosis, the causative agent of tuberculosis (TB). Immune responses are both global (lymph nodes, blood, and spleen) as well as local (site of infection) in nature. Interestingly, the immune response in TB at the site of infection results in the formation of spherical structures comprised of cells, bacteria, and effector molecules known as granulomas. In this work, we use four different mathematical tools to explore both the global immune response as well as the more local one (granuloma formation) and compare and contrast results obtained using these methods. Applying a range of approaches from continuous deterministic models to discrete stochastic ones allows us to make predictions and suggest hypotheses about the underlying biology that might otherwise go unnoticed. The tools developed and applied here are also applicable in other settings such as tumor modeling.
Agent-based model, Compartmental model, Differential equations model, Granuloma formation, Metapopulation model, Partial differential equations model, Tuberculosis
312-345
Gammack, David
65b60f25-7546-4132-99da-e140f4727f8d
Ganguli, Suman
94c0c448-40de-44ab-b47a-920883d62932
Marino, Simeone
b02a6bc2-1c21-4eed-96a8-095f7436956a
Segovia-Juarez, Jose
40a03d18-a4c5-43af-9c13-9a925720522b
Kirschner, Denise E.
d0e52b50-4e5f-4b34-ae70-f8d9e89bbd9d
2005
Gammack, David
65b60f25-7546-4132-99da-e140f4727f8d
Ganguli, Suman
94c0c448-40de-44ab-b47a-920883d62932
Marino, Simeone
b02a6bc2-1c21-4eed-96a8-095f7436956a
Segovia-Juarez, Jose
40a03d18-a4c5-43af-9c13-9a925720522b
Kirschner, Denise E.
d0e52b50-4e5f-4b34-ae70-f8d9e89bbd9d
Gammack, David, Ganguli, Suman, Marino, Simeone, Segovia-Juarez, Jose and Kirschner, Denise E.
(2005)
Understanding the immune response in tuberculosis using different mathematical models and biological scales.
Multiscale Modeling and Simulation, 3 (2), .
(doi:10.1137/040603127).
Abstract
The use of different mathematical tools to study biological processes is necessary to capture effects occurring at different scales. Here we study as an example the immune response to infection with the bacteria Mycobacterium tuberculosis, the causative agent of tuberculosis (TB). Immune responses are both global (lymph nodes, blood, and spleen) as well as local (site of infection) in nature. Interestingly, the immune response in TB at the site of infection results in the formation of spherical structures comprised of cells, bacteria, and effector molecules known as granulomas. In this work, we use four different mathematical tools to explore both the global immune response as well as the more local one (granuloma formation) and compare and contrast results obtained using these methods. Applying a range of approaches from continuous deterministic models to discrete stochastic ones allows us to make predictions and suggest hypotheses about the underlying biology that might otherwise go unnoticed. The tools developed and applied here are also applicable in other settings such as tumor modeling.
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Published date: 2005
Keywords:
Agent-based model, Compartmental model, Differential equations model, Granuloma formation, Metapopulation model, Partial differential equations model, Tuberculosis
Identifiers
Local EPrints ID: 480339
URI: http://eprints.soton.ac.uk/id/eprint/480339
ISSN: 1540-3459
PURE UUID: d22a87a4-3522-4db6-a396-e99886aa060c
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Date deposited: 01 Aug 2023 17:24
Last modified: 17 Mar 2024 03:33
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Contributors
Author:
Suman Ganguli
Author:
Simeone Marino
Author:
Jose Segovia-Juarez
Author:
Denise E. Kirschner
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