Behavior dynamics of biochemistry reaction

  • Mauricio A. Ribeiro Universidade Tecnologica Federal do Parana (UTFPR), Ponta Grossa/PR,84016-210/ Brazil
  • Aryadyne Bueno Rocha Szesz Universidade Estadual de Ponta Grossa (UEPG), Ponta Grossa/PR, 84030-900/Brazil
  • Andressa Novatski Universidade Estadual de Ponta Grossa (UEPG), Ponta Grossa/PR, 84030-900/Brazil
  • Giane Gonçalves Lenzi Universidade Tecnologica Federal do Parana (UTFPR), Ponta Grossa/PR,84016-210/ Brazil
  • Wagner Barth Lenz Universidade Tecnologica Federal do Parana (UTFPR), Ponta Grossa/PR,84016-210/ Brazil
  • Jose Manoel Balthazar Universidade Estadual Paulista "Julio de Mesquita Filho", Bauru/SP, 84017-220/Brazil
  • Angelo Marcelo Tusset Universidade Tecnologica Federal do Parana (UTFPR), Ponta Grossa/PR,84016-210/ Brazil

Abstract

In this paper, we investigated the importance of the peroxidase in the enzymatic reactions of living organisms, analyzing the dynamic behavior of a mathematical model that describes the dynamics of the kinetic reaction of such an enzyme system. The methodology used for the dynamic analysis of the model was the maximum Lyapunov Exponent and the Bifurcation Diagram, which allowed the determination of the chaotic and periodic regions of the system in addition to the analysis of Shannon's entropy in which the parameters that maximize and minimize the information entropy. We obtained as results the regions in which the parameters $ k_1 $ and $ k_3 $ are periodic or chaotic, confirming those found by the exponent of Lyapunov and the bifurcation diagram. Considering that the mathematical model has parametric sensitivity for certain values of the parameters of the peroxidase enzyme reaction constants.

Published
2020-08-26