分数阶导数模拟生物组织的介电特性

J. Escalante-Martínez, L. Morales-Mendoza, C. Calderón-Ramón, L. D. R. Juarez, E. S. Paredes, J. García, J. Laguna-Camacho, Sergio Natan González-Rocha, E. Mejía-Sánchez, J. Garrido-Meléndez, Héctor D López-Calderón, Jaime Martínez-Castillo
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引用次数: 3

摘要

生物组织生物学参数的数学建模涉及到任意阶导数的分析,一方面有从麦克斯韦旋转方程离散化开始的时域有限差分法,另一方面也发展了分数阶导数的数值方法。到目前为止,在一个发展和另一个发展之间没有坚实的、系统的和完善的桥梁,使研究取得进展。以此作为今后工作的一个全景。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fractional Derivatives modeling dielectric properties of biological tissue
Mathematical modeling of the biological parameters of biological tissue involves the analysis of derivatives of arbitrary order, on the one hand there is a method of finite differences in the time domain FDTD, which starts from the discretization of Maxwell’s rotational equations and on the other hand Numerical methods of fractional derivatives have been developed. Until now, there are no solid, systematic and well-established bridges between one development and another that allow progress in the study. Serve this as a panoramic for future work1.
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