Multiscale analysis of signalling processes in tissues with non-periodic distribution of cells

Mariya Ptashnyk

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arXiv · 1512.09262

Multiscale analysis of signalling processes in tissues with non-periodic distribution of cells

Mariya Ptashnyk

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Abstract

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.

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Mariya Ptashnyk. 2015-12-31. Multiscale analysis of signalling processes in tissues with non-periodic distribution of cells. https://arxiv.org/abs/1512.09262

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