23 citations · 76 across the 26 of their papers we have counts for
5 papers · 1 filter
Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics
Mariya Ptashnyk, Brian Seguin
In this paper we present a derivation and multiscale analysis of a mathematical model for plant cell wall biomechanics that takes into account both the microscopic structure of a c…
Locally periodic unfolding method and two-scale convergence on surfaces of locally periodic microstructures
Mariya Ptashnyk
In this paper we generalize the periodic unfolding method and the notion of two-scale convergence on surfaces of periodic microstructures to locally periodic situations. The method…
Homogenization of oxygen transport in biological tissues
Anastasios Matzavinos, Mariya Ptashnyk
In this paper, we extend previous work on the mathematical modeling of oxygen transport in biological tissues (Matzavinos et al., 2009). Specifically, we include in the modeling pr…
Hopf Bifurcation in a Gene Regulatory Network Model: Molecular Movement Causes Oscillations
Mark Chaplain, Mariya Ptashnyk, Marc Sturrock
Gene regulatory networks, i.e. DNA segments in a cell which interact with each other indirectly through their RNA and protein products, lie at the heart of many important intracell…
Global Hopf Bifurcation in the ZIP regulatory system
Juliane Claus, Mariya Ptashnyk, Ansgar Bohmann +1
Regulation of zinc uptake in roots of Arabidopsis thaliana has recently been modeled by a system of ordinary differential equations based on the uptake of zinc, expression of a tra…