Mariya Ptashnyk

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Heriot-Watt University

United Kingdom

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Multiscale modelling and analysis of mechanical properties of plant cells and tissues

Open Date: 2013-11-01

Close Date: 2015-12-31

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Collaborators (4)

John King

Professor at School of Mathematical Sciences

University of Nottingham

UNITED KINGDOM

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Tim J. Daniell

University of Sheffield

UNITED KINGDOM

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Nicola Stanley-Wall

Academic, Professor of Microbiology

University of Dundee

UNITED KINGDOM

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Nicola Holden

Academic contract that is both teaching and research

Scotland's Rural College

UNITED KINGDOM

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Mariya Ptashnyk

Research Interests

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Contact this professor

Recent Grants

Articles (18)

Cut-offs in a degenerate advection-reaction–diffusion equation – a case study

The Burgers-FKPP advection-reaction-diffusion equation with cut-off

Mathematical modelling of mechanotransduction via RhoA signalling pathways

Numerical analysis of a time-stepping method for the Westervelt equation with time-fractional damping

A biased random walk approach for modeling the collective chemotaxis of neural crest cells

Geometric analysis of fast-slow PDEs with fold singularities via Galerkin discretisation

Can root systems redistribute soil water to mitigate the effects of drought?

Particle-based model shows complex rearrangement of tissue mechanical properties are needed for roots to grow in hard soil

Multiscale Modeling and Analysis of Growth of Plant Tissues

Chemical Kinetics, Markov Chains, and the Imaginary Itô Interpretation

Novel form of collective movement by soil bacteria

Model for water infiltration in vegetated soil with preferential flow oriented by plant roots

Derivation of a fractional cross-diffusion system as the limit of a stochastic many-particle system driven by Lévy noise

Systems for intricate patterning of the vertebrate anatomy

Multiscale Analysis of Nutrient Uptake by Plant Roots with Sparse Distribution of Root Hairs: Nonstandard Scaling

Homogenization of biomechanical models of plant tissues with randomly distributed cells

Strong solutions for the Alber equation and stability of unidirectional wave spectra

From individual-based mechanical models of multicellular systems to free-boundary problems

Collaborators (4)

John King

Tim J. Daniell

Nicola Stanley-Wall

Nicola Holden

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