East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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THE IMPACT OF DELAY IN THE TREATMENT OF AUTOINFLAMMATORY DISEASE WITH A MATHEMATICAL MODEL

  • Park, Anna (Department of Mathematics, Pusan National University)
  • Received : 2022.01.09
  • Accepted : 2022.05.14
  • Published : 2022.05.18
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Abstract

Immunological imbalance eventually results in the development of various diseases. A typical example is an imbalance of cytokines with immunomodulatory abilities. In this paper, we propose a two-variable delay model to anti-pro-inflammatory cytokine therapy for autoimmune diseases, which are caused by an imbalance between the pro and anti-inflammatory cytokines. The interaction between pro- and anti-inflammatory cytokines were modeled mathematically to investigate the relevance of cytokines in disease processes. The delay time was estimated to maintain the stability of a biologically important steady state. In particular, the effects of delay with anti-pro-inflammatory cytokines therapy in autoinflammatory diseases were studied.

Keywords

Acknowledgement

This work was supported by the National Research Foundation of Korea(NRF) Grant funded by the Korean Government(2020R1A6A3A01099888).

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