Regulation of Th1/Th2 cells in asthma development: A mathematical model

Yangjin Kim; Seongwon Lee; You-Sun Kim; Sean Lawler; Yong Song Gho; Yoon-Keun Kim; Hyung Ju Hwang; Yangjin Kim; Seongwon Lee; You-Sun Kim; Sean Lawler; Yong Song Gho; Yoon-Keun Kim; Hyung Ju Hwang

doi:10.3934/mbe.2013.10.1095

Mathematical Biosciences and Engineering

2013, Volume 10, Issue 4: 1095-1133. doi: 10.3934/mbe.2013.10.1095

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Regulation of Th1/Th2 cells in asthma development: A mathematical model

1.
Department of Mathematics, Konkuk University, Seoul
2.
Department of Mathematics, Pohang University of Science and Technology, Pohang, Gyeongbuk
3.
Department of Life Science, Pohang University of Science and Technology, Pohang, Gyeongbuk
4.
Leeds Institute of Molecular Medicine, University of Leeds, Leeds

Received: 01 November 2012 Accepted: 29 June 2018 Published: 01 June 2013
MSC : Primary: 92C45, 92C50; Secondary: 92B05.

Airway exposure levels of lipopolysaccharide (LPS) determine type I versus type IIhelper T cell induced experimental asthma. While high LPS levels induce Th1-dominantresponses, low LPS levels derive Th2 cell inducedasthma. The present paper develops a mathematical model of asthma development whichfocuses on the relative balance of Th1 and Th2 cell induced asthma. In the present workwe representthe complex network of interactions between cells and molecules by a mathematical model.The model describes the behaviors of cells (Th0, Th1, Th2 and macrophages)and regulatory molecules (IFN-$\gamma$, IL-4, IL-12, TNF-α) in response tohigh, intermediate, and low levels of LPS.The simulations show howvariations in the levels of injected LPSaffect the development ofTh1 or Th2 cell responses through differential cytokine induction.The model also predicts the coexistence ofthese two types of responseunder certain biochemical and biomechanical conditions in the microenvironment.

Keywords:

Citation: Yangjin Kim, Seongwon Lee, You-Sun Kim, Sean Lawler, Yong Song Gho, Yoon-Keun Kim, Hyung Ju Hwang. Regulation of Th1/Th2 cells in asthma development: A mathematical model[J]. Mathematical Biosciences and Engineering, 2013, 10(4): 1095-1133. doi: 10.3934/mbe.2013.10.1095

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Abstract

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