23 citations · 76 across the 26 of their papers we have counts for
5 papers · 1 filter
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…
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.…
The impact of microfibril orientations on the biomechanics of plant cell walls and tissues: modelling and simulations
Mariya Ptashnyk, Brian Seguin
It is known that the orientation of cellulose microfibrils within plant cell walls has an important impact on the morphogenesis of plant cells and tissues. Viewing the shape of a p…
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…
Periodic homogenization and material symmetry in linear elasticity
Mariya Ptashnyk, Brian Seguin
Here homogenization theory is used to establish a connection between the symmetries of a periodic elastic structure associated with the microscopic properties of an elastic materia…