23 citations · 76 across the 26 of their papers we have counts for
4 papers · 1 filter
Multiscale analysis of nutrient uptake by plant roots with sparse distribution of root hairs: Nonstandard scaling
John R. King, Jakub Köry, Mariya Ptashnyk
In this paper we undertake a multiscale analysis of nutrient uptake by plant root hairs, considering different scale relations between the radius of hairs and the distance between…
Chemical Kinetics, Markov Chains, and the Imaginary Itô Interpretation
Álvaro Correales, Carlos Escudero, Mariya Ptashnyk
The abstract chemical reaction understood as a Markov chain in continuous time, has been studied in the physical literature for several years. It has been…
Homogenization of biomechanical models of plant tissues with randomly distributed cells
Andrey Piatnitski, Mariya Ptashnyk
In this paper homogenization of a mathematical model for biomechanics of a plant tissue with randomly distributed cells is considered. Mechanical properties of a plant tissue are m…
From individual-based mechanical models of multicellular systems to free-boundary problems
Tommaso Lorenzi, Philip J. Murray, Mariya Ptashnyk
In this paper we present an individual-based mechanical model that describes the dynamics of two contiguous cell populations with different proliferative and mechanical characteris…