International Scientific Journal


Sometimes, an increased reaction is caused by an immune system of the body to a non-toxic agent (e.g. eggs, dust, pollens or some drugs). This is called allergy or hypersensitivity. The regulatory T cells decrease these allergic reactions. Nowadays, it is noticed that immune system has a deep relationship with microorganism present in the intestine, that can be explained by the example, that some bacteria of intestine increase production of Treg cells by producing butyric acid like fatty acids. This can also understand that sufficiently different types of T cell receptors of Treg cells are needed to stop the inflammatory response produced by intestinal bacteria. In this study, the dynamic relation of T helper cells, intestinal bacteria and Treg cells are illustrated by a conformable mathematical model. Memory effects are figured out and displayed through graphs. Different plots also show the effects of increasing/decreasing amount of Treg induction efficiency on the whole system.
PAPER REVISED: 2019-10-12
PAPER ACCEPTED: 2019-10-15
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THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 6, PAGES [S2193 - S2198]
  1. K. Kataoka, "The intestinal microbiota and its role in human health and disease," The Journal of Medical Investigation, vol. 63, no. 1.2, pp. 27-37, 2016.
  2. K. E. Fujimura and S. V. Lynch, "Microbiota in Allergy and Asthma and the Emerging Relationship with the Gut Microbiome," Cell Host & Microbe, vol. 17, no. 5, pp. 592-602, May 2015.
  3. Y. Furusawa, Y. Obata, S. Fukuda, T. A. Endo, G. Nakato, D. Takahashi, Y. Nakanishi, C. Uetake, K. Kato, T. Kato, M. Takahashi, N. N. Fukuda, S. Murakami, E. Miyauchi, S. Hino, K. Atarashi, S. Onawa, Y. Fujimura, T. Lockett, J. M. Clarke, D. L. Topping, M. Tomita, S. Hori, O. Ohara, T. Morita, H. Koseki, J. Kikuchi, K. Honda, K. Hase, and H. Ohno, "Commensal microbederived butyrate induces the differentiation of colonic regulatory T cells," Nature, vol. 504, no. 7480, pp. 446-450, Dec. 2013.
  4. H. Bisgaard, N. Li, K. Bonnelykke, B. L. K. Chawes, T. Skov, G. Paludan-Müller, J. Stokholm, B. Smith, and K. A. Krogfelt, "Reduced diversity of the intestinal microbiota during infancy is associated with increased risk of allergic disease at school age," Journal of Allergy and Clinical Immunology, vol. 128, no. 3, pp. 646-652.e5, Sep. 2011.
  5. L. Wang, M. Chen, and Z. Chen, "Local thermal discomfort in low temperature environments," Thermal Science, vol. 23, no. 4, pp. 2211-2218, 2019.
  6. A. Hara and Y. Iwasa, "When is allergen immunotherapy effective?," Journal of Theoretical Biology, vol. 425, pp. 23-42, Jul. 2017.
  7. A. Hara and Y. Iwasa, "Coupled dynamics of intestinal microbiome and immune system—A mathematical study," Journal of Theoretical Biology, vol. 464, pp. 9-20, Mar. 2019.
  8. J.-H. He and F.-Y. Ji, "Two-scale mathematics and fractional calculus for thermodynamics," Thermal Science, vol. 23, no. 4, pp. 2131-2133, 2019.
  9. A.-H. Tian, J.-S. Zhao, Z.-B. Li, H.-G. Xiong, and C.-B. Fu, "Land surface temperature vs. Soil spectral reflectance fractional approach and fractional differential algorithm," Thermal Science, vol. 23, no. 4, pp. 2389-2395, 2019.
  10. Z. Yang, "Filtration efficiency of a cigarette filter with X- or Y-shaped fibers," Thermal Science, vol. 23, no. 4, pp. 2517-2522, 2019.
  11. R. Khalil, M. Al Horani, A. Yousef, and M. Sababheh, "A new definition of fractional derivative," Journal of Computational and Applied Mathematics, vol. 264, pp. 65-70, Jul. 2014.

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence