A mathematical model for within-host Toxoplasma gondii invasion dynamics

Toxoplasma gondii (T. gondii) is a protozoan parasite thatinfects 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 arechronically infected. This paper presents a mathematical model to describeintra-host dynamics of T...

Full description

Saved in:
Bibliographic Details
Main Authors: Adam Sullivan, Folashade Agusto, Sharon Bewick, Chunlei Su, Suzanne Lenhart, Xiaopeng Zhao
Format: Article
Language:English
Published: AIMS Press 2012-06-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.647
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832590198794354688
author Adam Sullivan
Folashade Agusto
Sharon Bewick
Chunlei Su
Suzanne Lenhart
Xiaopeng Zhao
author_facet Adam Sullivan
Folashade Agusto
Sharon Bewick
Chunlei Su
Suzanne Lenhart
Xiaopeng Zhao
author_sort Adam Sullivan
collection DOAJ
description Toxoplasma gondii (T. gondii) is a protozoan parasite thatinfects 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 arechronically infected. This paper presents a mathematical model to describeintra-host dynamics of T. gondii infection. The model considers theinvasion process, egress kinetics, interconversion between fast-replicatingtachyzoite stage and slowly replicating bradyzoite stage, as well as thehost's immune response. Analytical and numerical studies of the model can helpto understand the influences of various parameters to the transient andsteady-state dynamics of the disease infection.
format Article
id doaj-art-8d423540096444c086f029c5fd49d2e5
institution Kabale University
issn 1551-0018
language English
publishDate 2012-06-01
publisher AIMS Press
record_format Article
series Mathematical Biosciences and Engineering
spelling doaj-art-8d423540096444c086f029c5fd49d2e52025-01-24T02:07:00ZengAIMS PressMathematical Biosciences and Engineering1551-00182012-06-019364766210.3934/mbe.2012.9.647A mathematical model for within-host Toxoplasma gondii invasion dynamicsAdam Sullivan0Folashade Agusto1Sharon Bewick2Chunlei Su3Suzanne Lenhart4Xiaopeng Zhao5Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee, Knoxville, TN 37996Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee, Knoxville, TN 37996Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee, Knoxville, TN 37996Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee, Knoxville, TN 37996Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee, Knoxville, TN 37996Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee, Knoxville, TN 37996Toxoplasma gondii (T. gondii) is a protozoan parasite thatinfects 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 arechronically infected. This paper presents a mathematical model to describeintra-host dynamics of T. gondii infection. The model considers theinvasion process, egress kinetics, interconversion between fast-replicatingtachyzoite stage and slowly replicating bradyzoite stage, as well as thehost's immune response. Analytical and numerical studies of the model can helpto understand the influences of various parameters to the transient andsteady-state dynamics of the disease infection.https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.647intra-host dynamics.parasite infectionstage conversionwithin-host invasiontoxoplasma gondii
spellingShingle Adam Sullivan
Folashade Agusto
Sharon Bewick
Chunlei Su
Suzanne Lenhart
Xiaopeng Zhao
A mathematical model for within-host Toxoplasma gondii invasion dynamics
Mathematical Biosciences and Engineering
intra-host dynamics.
parasite infection
stage conversion
within-host invasion
toxoplasma gondii
title A mathematical model for within-host Toxoplasma gondii invasion dynamics
title_full A mathematical model for within-host Toxoplasma gondii invasion dynamics
title_fullStr A mathematical model for within-host Toxoplasma gondii invasion dynamics
title_full_unstemmed A mathematical model for within-host Toxoplasma gondii invasion dynamics
title_short A mathematical model for within-host Toxoplasma gondii invasion dynamics
title_sort mathematical model for within host toxoplasma gondii invasion dynamics
topic intra-host dynamics.
parasite infection
stage conversion
within-host invasion
toxoplasma gondii
url https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.647
work_keys_str_mv AT adamsullivan amathematicalmodelforwithinhosttoxoplasmagondiiinvasiondynamics
AT folashadeagusto amathematicalmodelforwithinhosttoxoplasmagondiiinvasiondynamics
AT sharonbewick amathematicalmodelforwithinhosttoxoplasmagondiiinvasiondynamics
AT chunleisu amathematicalmodelforwithinhosttoxoplasmagondiiinvasiondynamics
AT suzannelenhart amathematicalmodelforwithinhosttoxoplasmagondiiinvasiondynamics
AT xiaopengzhao amathematicalmodelforwithinhosttoxoplasmagondiiinvasiondynamics
AT adamsullivan mathematicalmodelforwithinhosttoxoplasmagondiiinvasiondynamics
AT folashadeagusto mathematicalmodelforwithinhosttoxoplasmagondiiinvasiondynamics
AT sharonbewick mathematicalmodelforwithinhosttoxoplasmagondiiinvasiondynamics
AT chunleisu mathematicalmodelforwithinhosttoxoplasmagondiiinvasiondynamics
AT suzannelenhart mathematicalmodelforwithinhosttoxoplasmagondiiinvasiondynamics
AT xiaopengzhao mathematicalmodelforwithinhosttoxoplasmagondiiinvasiondynamics