East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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EFFECT OF NEGATIVE FEEDBACK LOOP WITH NRF1 AND MIR-378 OF NONALCOHOLIC FATTY LIVER DISEASE: A MATHEMATICAL MODELING APPROACH

  • Lee, SiEun (Department of Mathematics, Pusan National University) ;
  • Shin, Kiyeon (Department of Mathematics, Pusan National University)
  • Received : 2020.03.12
  • Accepted : 2020.04.20
  • Published : 2020.05.31
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Abstract

Nonalcoholic fatty liver is a type of fatty liver in which fat accumulates in the liver without alcohol. In the accumulation, Nrf1 and miR-378 genes play very important role, so called negative feedback loop, in which the two genes suppress the other's production. In other words, Nrf1 activates fatty acid oxidation which promotes fat consumption in the liver, while miR-378 deactivates fatty acid oxidation. Thus, both genes regulate nonalcoholic fatty liver. In this paper, the negative feedback loop of Nrf1 and miR-378 are expressed by a system of ordinary differential equations. And, bifurcation simulation shows the change in the amount of each gene with significant parameter range changes. Bifurcation simulation has also used to determine the thresholds for transit between disease and steady state.

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