Modelling and analysis of haemoglobin catalytic reaction kinetic system

Yanhong Liu, Hui Lv, Bin Wang, Deyun Yang and Qiang Zhang

Mathematical and Computer Modelling of Dynamical Systems, 2020, vol. 26, issue 4, 306-321

Abstract: In order to study whether haemoglobin (Hb) can replace peroxidase and has good catalytic properties. The key to exploring the characteristics of Hb peroxidase is to establish a suitable kinetic model, which is studied in this paper. First, according to the Hb catalytic reaction, a nonlinear system is established and improved. It is proved that the established system is in line with the practical significance. The stability of the original system is judged by analysing the stability of the simplified system. Then, considering the effect of time delay on Hb catalytic reaction, a nonlinear time-delay catalytic reaction system is obtained. For convenient application, the system is linearized using Taylor’s formula, and the dynamic characteristics of Hopf bifurcation are analysed. The response diagrams of three system are plotted by setting perturbation parameters, and their variations are observed to analyse the differences among them. The results show that the nonlinear time-delay system can better describe the characteristics of the catalytic reaction.

Date: 2020
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DOI: 10.1080/13873954.2020.1771379

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