23 citations · 76 across the 26 of their papers we have counts for
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math.AP2015
Homogenization of a viscoelastic model for plant cell wall biomechanics
Mariya Ptashnyk, Brian Seguin
The microscopic structure of a plant cell wall is given by cellulose microfibrils embedded in a cell wall matrix. In this paper we consider a microscopic model for interactions bet…
math.AP2015
Multiscale analysis of signalling processes in tissues with non-periodic distribution of cells
Mariya Ptashnyk
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.…
math.AP2015★ 17 cited
Homogenization of biomechanical models for plant tissues
Andrey Piatnitski, Mariya Ptashnyk
In this paper homogenization of a mathematical model for plant tissue biomechanics is presented. The microscopic model constitutes a strongly coupled system of reaction-diffusion-c…