Modelling and analysis of haemoglobin catalytic reaction kinetic system

IF 1.8 4区数学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematical and Computer Modelling of Dynamical Systems Pub Date : 2020-06-16 DOI:10.1080/13873954.2020.1771379

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

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引用次数: 2

Abstract

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.

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血红蛋白催化反应动力学系统的建模与分析

摘要为了研究血红蛋白（Hb）是否能取代过氧化物酶并具有良好的催化性能。探索Hb过氧化物酶特性的关键是建立一个合适的动力学模型，本文对此进行了研究。首先，根据Hb催化反应，建立并改进了一个非线性系统。实践证明，所建立的制度是符合实际意义的。通过分析简化系统的稳定性来判断原系统的稳定性。然后，考虑时间延迟对Hb催化反应的影响，得到了一个非线性时滞催化反应系统。为了便于应用，使用泰勒公式对系统进行了线性化，并分析了Hopf分岔的动力学特性。通过设置扰动参数，绘制了三个系统的响应图，并观察了它们的变化，分析了它们之间的差异。结果表明，非线性时滞系统能够更好地描述催化反应的特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical and Computer Modelling of Dynamical Systems 数学-计算机：跨学科应用

CiteScore

3.80

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematical and Computer Modelling of Dynamical Systems (MCMDS) publishes high quality international research that presents new ideas and approaches in the derivation, simplification, and validation of models and sub-models of relevance to complex (real-world) dynamical systems. The journal brings together engineers and scientists working in different areas of application and/or theory where researchers can learn about recent developments across engineering, environmental systems, and biotechnology amongst other fields. As MCMDS covers a wide range of application areas, papers aim to be accessible to readers who are not necessarily experts in the specific area of application. MCMDS welcomes original articles on a range of topics including: -methods of modelling and simulation- automation of modelling- qualitative and modular modelling- data-based and learning-based modelling- uncertainties and the effects of modelling errors on system performance- application of modelling to complex real-world systems.