Multiscale Modelling and Analysis of Signalling Processes in Tissues with Non-Periodic Distribution of Cells

被引：3
作者：
Ptashnyk M. [1 ]
机构：
[1] Department of Mathematics, University of Dundee
来源：
Vietnam Journal of Mathematics | 2017年 / 45卷 / 1-2期
基金：
英国工程与自然科学研究理事会;
关键词：
Domains with non-periodic perforations; Locally periodic homogenization; Non-periodic microstructures; Plywood-like microstructures; Signalling processes; Unfolding operator;
D O I：
10.1007/s10013-016-0232-9
中图分类号：
学科分类号：
摘要：
In this paper, a microscopic model for a signalling process in the left ventricular wall of the heart, comprising a non-periodic fibrous microstructure, is considered. To derive the macroscopic equations, the non-periodic microstructure is approximated by the corresponding locally periodic microstructure. Then, applying the methods of locally periodic homogenization (the locally periodic (l-p) unfolding operator, locally periodic two-scale (l-t-s) convergence on oscillating surfaces and l-p boundary unfolding operator), we obtain the macroscopic model for a signalling process in the heart tissue. © 2016, The Author(s).
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页码：295 / 316
页数：21
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