A mathematical model for within-host Toxoplasma gondii invasion dynamics
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Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee, Knoxville, TN 37996
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Department of Ecology and Evolutionary Biology, University of Kansas, Lawrence, KS 66045
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National Institute of Mathematical and Biological Synthesis, University of Tennessee, Knoxville, TN 37996
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Department of Microbiology, University of Tennessee, Knoxville, TN 37996
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Department of Mathematics, University of Tennessee, Knoxville, TN 37996-1300
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Received:
01 July 2011
Accepted:
29 June 2018
Published:
01 July 2012
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MSC :
Primary: 37N25, 92B05; Secondary: 93A30.
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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.
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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