Search Advanced

Mathematical Biosciences and Engineering

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

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.

    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

    Related Papers:

  • 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.


    加载中
    [1] J. Immunol., 166 (2001), 7556-7562.
    [2] Nat. Med., 8 (2002), 1024-1032.
    [3] J. Clin. Invest., 102 (1998), 98-106.
    [4] J. Allergy Clin. Immunol., 119 (2007), 780-791.
    [5] Prog. Biophys. Mol. Biol., 85 (2004), 451-472.
    [6] Annu. Rev. Physiol., 72 (2010), 495-516.
    [7] Immunity, 27 (2007), 89-99.
    [8] Curr. Opin. HIV AIDS, 5 (2010), 114-119.
    [9] Respir. Res., 2 (2001), 64-65.
    [10] J. Theor. Biol., 190 (1998), 161-178.
    [11] in "Dynamical Modeling In Biotechnology," Lectures Presented at the EU Advanced Workshop, Universität Leipzig NTZ 48/1997, World Scientific, Singapore, (2000), 227-243.
    [12] Curr. Opin. Pharmacol., 7 (2007), 279-282.
    [13] Annu. Rev. Immunol., 12 (1994), 295-335.
    [14] Clin. Pharm., 11 (1992), 834-850.
    [15] JAMA, 295 (2006), 2275-2285.
    [16] Am. J. Respir. Crit. Care Med., 160 (1999), 1816-1823.
    [17] Garland Pub., 2000.
    [18] J. Exp. Med., 186 (1997), 1223-1232.
    [19] Immunology, 115 (2005), 21-33.
    [20] Int. Immunol., 7 (1995), 1265-1277.
    [21] Am. J. Respir. Crit. Care Med., 171 (2005), 224-230.
    [22] Biophys. J., 87 (2004), 2215-2220.
    [23] Allergy, 66 (2011), 989-998.
    [24] J. Allergy Clin. Immunol., 125 (2010), 222-230.
    [25] Histopathology, 2 (1978), 407-421.
    [26] J. Immunol., 170 (2003), 4963-4972.
    [27] Clin. Exp. Metastasis, 18 (2000), 589-597.
    [28] Immunopharmacology, 4 (1982), 23-39.
    [29] J. Exp. Med., 196 (2002), 1645-1651.
    [30] J. Theor. Biol., 160 (1993), 311-342.
    [31] J. Theor. Biol., 170 (1994), 25-56.
    [32] Bull. Math. Biol., 61 (1999), 403-436.
    [33] Proc. Natl. Acad. Sci. USA, 94 (1997), 12258-12262.
    [34] J. Immunol., 166 (2001), 6855-6860.
    [35] Lancet., 355 (2000), 1680-1683.
    [36] Nat. Immunol., 1 (2000), 239-244.
    [37] Am. Rev. Respir. Dis., 139 (1989), 320-329.
    [38] J. Theor. Biol., 269 (2011), 70-78.
    [39] Science, 282 (1998), 2261-2263.
    [40] J. Immunol., 162 (1999), 5212-5223.
    [41] Annu. Rev. Physiol., 71 (2009), 489-507.
    [42] Expert. Rev. Mol. Med., 2 (2000), 1-20.
    [43] J. Neurooncol., 67 (2004), 147-157.
    [44] Journal of Controlled Release, 118 (2007), 161-168.
    [45] Thorax, 60 (2005), 1012-1018.
    [46] Immunol. Cell Biol., 84 (2006), 218-226.
    [47] Immunology and Cell Biology, 85 (2007), 189-196.
    [48] J. Allergy Clin. Immunol., 120 (2007), 803-812.
    [49] Int. Immunol., 10 (1998), 1325-1334.
    [50] Bull. Math. Biol., 72 (2010), 1029-1068.
    [51] J. Theo. Biol., 260 (2009), 359-371.
    [52] 2009 Proceedings of the Fourth SIAM Conference on Mathematics for Industry (MI09), (2010), 84-92.
    [53] J. Immunol., 178 (2007), 5375-5382.
    [54] Progress in Biophysics and Molecular Biology, 106 (2011), 353-379.
    [55] J. Immunol., 183 (2009), 5113-5120.
    [56] J. Math. Biol., 61 (2010), 401-421.
    [57] J. Exp. Med., 186 (1997), 1269-1275.
    [58] J. Math. Biol., 37 (1998), 235-252.
    [59] J. Bacteriology, 89 (1965), 462-469.
    [60] J. Immunol., 171 (2003), 3645-3654.
    [61] Inflamm. Allergy Drug Targets, 5 (2006), 253-256.
    [62] J. Exp. Med., 201 (2005), 233-240.
    [63] Immunity, 30 (2009), 92-107.
    [64] Immunity, 31 (2009), 438-449.
    [65] The Journal of Biological Chemistry, 271 (1996), 16139-16143.
    [66] Proc. Natl. Acad. Sci. USA, 100 (2003), 7749-7754.
    [67] Am. J. Respir. Crit. Care Med., 161 (2000), 1790-1796.
    [68] J. Theor. Biol., 254 (2008), 178-196.
    [69] Allergy, 59 (2004), 469-478.
    [70] Allergy, 55 (2000), 6-9.
    [71] Clin. Exp. Allergy, 21 (1991), 441-448.
    [72] Science, 296 (2002), 1869-1873.
    [73] Allergy, 65 (2010), 1093-1103.
    [74] in "Theoretical and Experimental Insights into Immunology" (eds. A. S. Perelson and G. Weisbuch), chapter H66 Nato ASI, Springer-Verlag, Berlin, Germany, (1992), 171-189.
    [75] Drug Discovery Today: Therapeutic Strategies, 3 (2006), 309-316.
    [76] Exp. Rev. Resp. Med., 1 (2007), 51-63.
    [77] J. Immunol., 136 (1986), 2348-2357.
    [78] Annu. Rev. Immunol., 7 (1989), 145-173.
    [79] J. Biol. Syst., 3 (1995), 397-408.
    [80] In Focus Series, Pharmaceutical Press, 2007.
    [81] $7^{th}$ edition, Garland Science Publishing, New York, 2007.
    [82] Biochemistry, 35 (1996), 11454-11460.
    [83] J. Immunol, 160 (1998), 3705-3712.
    [84] Prog. Clin. Biol. Res., 231 (1987), 475-487.
    [85] Lymphokine Cytokine Res., 12 (1993), 115-120.
    [86] Math. Bios., 136 (1996), 35-63.
    [87] Mucosal. Immunol., 3 (2010), 216-229.
    [88] Journal of Theoretical Medicine, 4 (2002), 119-132.
    [89] Clin. Exp. Allergy., 39 (2009), 1314-1323.
    [90] Immunity, 7 (1997), 123-134.
    [91] Eur. J. Immunol., 30 (2000), 2056-2064.
    [92] Cell, 101 (2000), 455-458.
    [93] Toxicol. in Vitro, 23 (2009), 531-538.
    [94] J. Allergy Clin. Immunol., 104 (1999), 983-990.
    [95] J. Leukoc. Biol., 38 (1985), 383-401.
    [96] J. Theor. Biol., 152 (1991), 377-403.
    [97] Int. J. Mol. Med., 17 (2006), 801-809.
    [98] J. Immunol., 166 (2001), 232-240.
    [99] Immunity, 5 (1996), 217-228.
    [100] J. Math. Biol., 41 (2000), 455-475.
    [101] in "Mathematical Modeling of Biological Systems," Volume II (eds. A. Deutsch, R. Parra, R. J. de Boer, O. Diekmann, P. Jagers, E. Kisdi, M. Kretzschmar, P. Lansky, and H. Metz), Modeling and Simulation in Science, Engineering and Technology, Birkhäuser Boston, (2008), 145-155.
    [102] Immunology, 130 (2010), 166-171.
    [103] J. Exp. Med., 207 (2010), 2479-2491.
    [104] Science, 282 (1998), 2258-2261.
    [105] Nat. Rev. Immunol., 1 (2001), 69-75.
    [106] J. Exp. Med., 191 (2000), 355-364.
    [107] Clin. Exp. Allergy, 40 (2010), 163-173.
    [108] Chest., 138 (2010), 1282-1283.
    [109] J. Theor. Biol., 206 (2000), 539-560.
    [110] J. Theor. Biol., 231 (2004), 181-196.
    [111] Science, 296 (2002), 490-494.
    [112] Int. Arch. Allergy Immunol., 151 (2010), 297-307.
    [113] Nat. Immunol., 8 (2007), 967-974.
    [114] Proc. Natl. Acad. Sci. USA, 94 (1997), 11875-11880.
  • Reader Comments
  • © 2013 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
Mathematical Biosciences and Engineering
3.9

Metrics

Article views(3791) PDF downloads(872) Cited by(33)

Preview PDF
Download XML
Export Citation
Article outline

Other Articles By Authors

Related pages

Tools

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog