ArticleJournal of mathematical biology2004
Macrophage response to Mycobacterium tuberculosis infection.
Article in Journal of mathematical biology, 2004. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 24 papers.
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Who cites it
24 citing papers in PubMed.
- A brief overview of mathematical modeling of the within-host dynamics of Mycobacterium tuberculosis.Frontiers in applied mathematics and statistics · 2024Article
- Characterizing the immune response toFrontiers in immunology · 2024Review
- Mathematical model and tool to explore shorter multi-drug therapy options for active pulmonary tuberculosis.PLoS computational biology · 2020Article
- A reaction-diffusion model to understand granulomas formation inside secondary lobule during tuberculosis infection.PloS one · 2020Article
- The Role of Dimensionality in Understanding Granuloma Formation.Computation (Basel, Switzerland) · 2018Article
- An analysis of effects of heterozygosity in dairy cattle for bovine tuberculosis resistance.Animal genetics · 2018Article
- A review of computational and mathematical modeling contributions to our understanding of Mycobacterium tuberculosis within-host infection and treatment.Current opinion in systems biology · 2017Article
- In-host modeling.Infectious Disease Modelling · 2017Article
- Modeling Granulomas in Response to Infection in the Lung.PloS one · 2016Article
- A Multi-Compartment Hybrid Computational Model Predicts Key Roles for Dendritic Cells in Tuberculosis Infection.Computation (Basel, Switzerland) · 2016Article
- Quantifying Limits on Replication, Death, and Quiescence of Mycobacterium tuberculosis in Mice.Frontiers in microbiology · 2016Article
- The long subclinical phase of Mycobacterium avium ssp. paratuberculosis infections explained without adaptive immunity.Veterinary research · 2015Article
- Review
- Integrative model of the immune response to a pulmonary macrophage infection: what determines the infection duration?PloS one · 2014Article
- Article
- On the computational modeling of the innate immune system.BMC bioinformatics · 2013Article
- A hybrid multi-compartment model of granuloma formation and T cell priming in tuberculosis.Journal of theoretical biology · 2011Article
- Dynamic models of immune responses: what is the ideal level of detail?Theoretical biology & medical modelling · 2010Article
- Tuberculosis: global approaches to a global disease.Current opinion in biotechnology · 2010Review
- Bistability and bacterial infections.PloS one · 2010Article
Corrections and comments
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Authors and funding
3 authors.
Funding
Abstract
The immune response to Mycobacterium tuberculosis (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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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.