高性能计算方法研究模型,描述可逆两步酶反应与时间分数导数的可逆两步酶反应
H B Chethan1, Nasser Bin Turki2, D G Prakasha3
1Department of Mathematics, Davangere University, Shivagangotri, Davangere, 577 007 , India.
Scientific reports
|September 10, 2024
概括
这项研究使用分数顺序方法和 -homotopy分析转换方法来建模酶反应. 这些发现突出了该方法的方法.
科学领域:
- 生物化学和化学动力学
- 应用数学 应用数学 应用数学
- 生物技术是生物技术.
背景情况:
- 酶反应在化学,生物学和生物力学中至关重要.
- 分数顺序模型为分析复杂的动态系统提供了一个复杂的框架.
- 了解酶动力学对于各种工业和生物应用至关重要.
研究的目的:
- 在分数顺序模型框架内研究酶反应.
- 应用 -homotopy分析转换方法来解决控制酶反应的非线性分数微分方程.
- 分析拟议模型的解决方案的存在和独特性.
主要方法:
- 利用一个分数顺序模型,包括一个由四个方程组成的系统.
- 在分数衍生品中使用卡普托分数运算符.
- 应用了半分析-同位素分析转换方法来解决这个系统.
- 使用固定点定理研究解决方案的独特性和存在.
主要成果:
- 获得的序列溶液与酶反应模型的快速收.
- 通过图形表示和3D图表验证了该方法的有效性.
- 证明了分数模型的显著动态和拟议技术的有效性.
结论:
- -同位素分析转换方法对于分析酶反应的依赖时间的分数数学模型是有效的.
- 这项研究强调了微积分计算在理解酶过程中的重要性.
- 结果表明,在药物开发,生物力学,代谢工程和食品工业中,酶反应应用的潜在扩展.
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