IF 1.7
3区 化学
Q3 CHEMISTRY, MULTIDISCIPLINARY
引用次数: 0
摘要
本文对具有交叉扩散和 Michalis 饱和的可逆生化反应模型进行了定性研究。对于无扩散系统，明确确定了正平衡的存在性、稳定性和霍普夫分岔。对于交叉扩散体系，根据自扩散系数和交叉扩散系数之间的关系，研究了交叉扩散驱动的稳定性和图灵不稳定性。从理论上确定了交叉扩散系数平面上的稳定性和交叉扩散不稳定性区域。利用多时间尺度技术推导出振幅方程。在数值模拟的帮助下，我们验证了分析结果。本文章由计算机程序翻译，如有差异，请以英文原文为准。
Pattern formation for a reversible biochemical reaction model with cross-diffusion and Michalis saturation
This paper presents a qualitative study of a reversible biochemical reaction model with cross-diffusion and Michalis saturation. For the system without diffusion, the existence, stability and Hopf bifurcation of the positive equilibrium have been clearly determined. For the cross-diffusive system, the stability and Turing instability driven by cross-diffusion are studied according to the relationship between the self-diffusion and the cross-diffusion coefficients. Stability and cross-diffusion instability regions are theoretically determined in the plane of the cross-diffusion coefficients. The amplitude equation is derived by using the technique of multiple time scale. With the help of numerical simulation, we verify the analysis results.
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来源期刊
CiteScore
3.70
自引率
17.60%
发文量
105
审稿时长
6 months
期刊介绍：
The Journal of Mathematical Chemistry (JOMC) publishes original, chemically important mathematical results which use non-routine mathematical methodologies often unfamiliar to the usual audience of mainstream experimental and theoretical chemistry journals. Furthermore JOMC publishes papers on novel applications of more familiar mathematical techniques and analyses of chemical problems which indicate the need for new mathematical approaches.
Mathematical chemistry is a truly interdisciplinary subject, a field of rapidly growing importance. As chemistry becomes more and more amenable to mathematically rigorous study, it is likely that chemistry will also become an alert and demanding consumer of new mathematical results. The level of complexity of chemical problems is often very high, and modeling molecular behaviour and chemical reactions does require new mathematical approaches. Chemistry is witnessing an important shift in emphasis: simplistic models are no longer satisfactory, and more detailed mathematical understanding of complex chemical properties and phenomena are required. From theoretical chemistry and quantum chemistry to applied fields such as molecular modeling, drug design, molecular engineering, and the development of supramolecular structures, mathematical chemistry is an important discipline providing both explanations and predictions. JOMC has an important role in advancing chemistry to an era of detailed understanding of molecules and reactions.
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