A mathematical model for within-host <em>Toxoplasma gondii</em> invasion dynamics

Adam Sullivan; Folashade Agusto; Sharon Bewick; Chunlei Su; Suzanne Lenhart; Xiaopeng Zhao; Adam Sullivan; Folashade Agusto; Sharon Bewick; Chunlei Su; Suzanne Lenhart; Xiaopeng Zhao

doi:10.3934/mbe.2012.9.647

Mathematical Biosciences and Engineering

2012, Volume 9, Issue 3: 647-662. doi: 10.3934/mbe.2012.9.647

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A mathematical model for within-host Toxoplasma gondii invasion dynamics

1.
Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee, Knoxville, TN 37996
2.
Department of Ecology and Evolutionary Biology, University of Kansas, Lawrence, KS 66045
3.
National Institute of Mathematical and Biological Synthesis, University of Tennessee, Knoxville, TN 37996
4.
Department of Microbiology, University of Tennessee, Knoxville, TN 37996
5.
Department of Mathematics, University of Tennessee, Knoxville, TN 37996-1300

Received: 01 July 2011 Accepted: 29 June 2018 Published: 01 July 2012
MSC : Primary: 37N25, 92B05; Secondary: 93A30.

Toxoplasma gondii (T. gondii) is a protozoan parasite that infects a wide range of intermediate hosts, including all mammals and birds. Up to 20% of the human population in the US and 30% in the world are chronically infected. This paper presents a mathematical model to describe intra-host dynamics of T. gondii infection. The model considers the invasion process, egress kinetics, interconversion between fast-replicating tachyzoite stage and slowly replicating bradyzoite stage, as well as the host's immune response. Analytical and numerical studies of the model can help to understand the influences of various parameters to the transient and steady-state dynamics of the disease infection.

Keywords:

Citation: Adam Sullivan, Folashade Agusto, Sharon Bewick, Chunlei Su, Suzanne Lenhart, Xiaopeng Zhao. A mathematical model for within-host Toxoplasma gondii invasion dynamics[J]. Mathematical Biosciences and Engineering, 2012, 9(3): 647-662. doi: 10.3934/mbe.2012.9.647

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Abstract

Toxoplasma gondii (T. gondii) is a protozoan parasite that infects a wide range of intermediate hosts, including all mammals and birds. Up to 20% of the human population in the US and 30% in the world are chronically infected. This paper presents a mathematical model to describe intra-host dynamics of T. gondii infection. The model considers the invasion process, egress kinetics, interconversion between fast-replicating tachyzoite stage and slowly replicating bradyzoite stage, as well as the host's immune response. Analytical and numerical studies of the model can help to understand the influences of various parameters to the transient and steady-state dynamics of the disease infection.

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