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).

引用

页码：295 / 316

页数：21

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