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A simple in-host model for Mycobacterium tuberculosis that captures all infection outcomes
Authors:Yimin Du  Jianhong Wu
Affiliation:1. Modelling Infection and Immunity Laboratory and Laboratory for Applied and Industrial Mathematics, Centre for Disease Modelling, York Institute for Health Research, Mathematics &2. Statistics, York University, Toronto, ON, Canada
Abstract:ABSTRACT

Tuberculosis infection can result in clearance, latent infection, or active disease, with slow or fast progression. A four-dimensional model of in-host tuberculosis infection includes macrophages, T lymphocytes, tuberculosis bacteria, and their interactions. Changes in the infection rate, cell-mediated immunity rate, macrophage loss rate, and bacteria killing rate most affect disease outcomes. Simulations show that a periodic solution can occur. When the infected macrophage killing rate is constant, a backward bifurcation exists and the system is globally stable.
Keywords:active disease  clearance  latency  Latin Hypercube Sampling  tuberculosis
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