In this paper a microscopic model for a signalling process in the cardiac muscle tissue of the left ventricular wall, comprising non-periodic fibrous microstructure is considered. To derive the macroscopic equations we approximate the non-periodic microstructure by the corresponding locally-periodic microstructure. Then applying the methods of 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 problem for a signalling process in the heart muscle tissue.
@article{arxiv.1512.09262,
title = {Multiscale analysis of signalling processes in tissues with non-periodic distribution of cells},
author = {Mariya Ptashnyk},
journal= {arXiv preprint arXiv:1512.09262},
year = {2016}
}