Numerical and graphical simulation of the non-linear fractional dynamical system of bone mineralization.

IF 2.6 4区 工程技术 Q1 Mathematics
Ritu Agarwal, Pooja Airan, Mohammad Sajid
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引用次数: 0

Abstract

The objective of the present study was to improve our understanding of the complex biological process of bone mineralization by performing mathematical modeling with the Caputo-Fabrizio fractional operator. To obtain a better understanding of Komarova's bone mineralization process, we have thoroughly examined the boundedness, existence, and uniqueness of solutions and stability analysis within this framework. To determine how model parameters affect the behavior of the system, sensitivity analysis was carried out. Furthermore, the fractional Adams-Bashforth method has been used to carry out numerical and graphical simulations. Our work is significant owing to its comparison of fractional- and integer-order models, which provides novel insight into the effectiveness of fractional operators in representing the complex dynamics of bone mineralization.

骨矿化非线性分数动力系统的数值和图形模拟。
本研究的目的是通过使用卡普托-法布里齐奥分数算子进行数学建模,加深我们对骨矿化这一复杂生物过程的理解。为了更好地理解科玛洛娃的骨矿化过程,我们在此框架内深入研究了解的有界性、存在性和唯一性以及稳定性分析。为了确定模型参数对系统行为的影响,我们进行了敏感性分析。此外,我们还使用分数亚当斯-巴什福斯方法进行了数值和图形模拟。我们的工作意义重大,因为它对分数阶模型和整数阶模型进行了比较,对分数算子在表示骨矿化复杂动态方面的有效性提供了新的见解。
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 Biosciences and Engineering
Mathematical Biosciences and Engineering 工程技术-数学跨学科应用
CiteScore
3.90
自引率
7.70%
发文量
586
审稿时长
>12 weeks
期刊介绍: Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).
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