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

Mariya Ptashnyk (Lead / Corresponding author)

Research output: Contribution to journalArticle

2 Citations (Scopus)
171 Downloads (Pure)

Abstract

In this paper a microscopic model for a signalling process in the left ventricular wall of the heart, comprising a non-periodic brous 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 locallyperiodic (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.
Original languageEnglish
Pages (from-to)295-316
Number of pages22
JournalVietnam Journal of Mathematics
Volume45
Issue number1
Early online date22 Nov 2016
DOIs
Publication statusPublished - Mar 2017

Keywords

  • non-periodic microstructures
  • plywood-like microstructures
  • signalling processes
  • domains with non-periodic perforations
  • locally-periodic homogenization
  • unfolding operator

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