分形生物组织传热方程及其解析

J4 ›› 2012, Vol. 47 ›› Issue (10): 105-108.

分形生物组织传热方程及其解析

解时韶丽,陈善镇,蒋晓芸

山东大学数学学院, 山东济南 250100

收稿日期:2012-04-12 出版日期:2012-11-20 发布日期:2012-10-26
作者简介:时韶丽(1987- ),女,硕士研究生,研究方向为应用数学. Email:shis8706@163.com
基金资助:
国家自然科学基金资助项目(11072134,91130017)

The analytical solution of bioheat transfer equation in fractal tissue

SHI Shao-li, CHEN Shan-zhen, JIANG Xiao-yun

School of Mathematics, Shandong University, Jinan 250100, Shandong, China

Received:2012-04-12 Online:2012-11-20 Published:2012-10-26

摘要/Abstract

摘要：

建立了分形生物组织热传导方程,利用分数阶有限Hankel变换和Laplace变换及相应的逆变换,给出了上述问题的解析解。证明了经典的圆柱坐标系下生物组织传热方程是本文结果的特例。

关键词: 分形;生物传热;分数阶有限Hankel变换;Laplace变换

Abstract:

The bioheat transfer equation in fractal tissue is established by applying the fractional finite Hankel transform, Laplace transform and their inverse transforms. The analytical solutions of the equation are presented. And classical bioheat transfer equation in cylindrical coordinates as a special case is proved.

Key words: fractal; bioheat transfer; fractional finite Hankel transform; Laplace transform

解时韶丽,陈善镇,蒋晓芸. 分形生物组织传热方程及其解析[J]. J4, 2012, 47(10): 105-108.

SHI Shao-li, CHEN Shan-zhen, JIANG Xiao-yun. The analytical solution of bioheat transfer equation in fractal tissue[J]. J4, 2012, 47(10): 105-108.

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