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Mariya Ptashnyk
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A dynamic model of nutrient uptake by root hairs
D Leitner, S Klepsch, M Ptashnyk, A Marchant, GJD Kirk, A Schnepf, ...
New Phytologist 185 (3), 792-802, 2010
1252010
Derivation of a macroscopic receptor-based model using homogenization techniques
A Marciniak-Czochra, M Ptashnyk
SIAM Journal on Mathematical Analysis 40 (1), 215-237, 2008
1022008
Boundedness of solutions of a haptotaxis model
A Marciniak-Czochra, M Ptashnyk
Mathematical Models and Methods in Applied Sciences 20 (03), 449-476, 2010
942010
Enhanced zinc uptake by rice through phytosiderophore secretion: a modelling study
M Ptashnyk, T Roose, DL Jones, GJD Kirk
Plant, Cell & Environment 34 (12), 2038-2046, 2011
602011
Modelling in vitro growth of dense root networks
P Bastian, A Chavarría-Krauser, C Engwer, W Jäger, S Marnach, ...
Journal of Theoretical Biology 254 (1), 99-109, 2008
452008
Degenerate quasilinear pseudoparabolic equations with memory terms and variational inequalities
M Ptashnyk
Nonlinear Analysis: Theory, Methods & Applications 66 (12), 2653-2675, 2007
452007
Derivation of a macroscopic model for transport of strongly sorbed solutes in the soil using homogenization theory
M Ptashnyk, T Roose
SIAM Journal on Applied Mathematics 70 (7), 2097-2118, 2010
392010
Hopf bifurcation in a gene regulatory network model: Molecular movement causes oscillations
M Chaplain, M Ptashnyk, M Sturrock
Mathematical Models and Methods in Applied Sciences 25 (06), 1179-1215, 2015
382015
Unfolding-based corrector estimates for a reaction–diffusion system predicting concrete corrosion
T Fatima, A Muntean, M Ptashnyk
Applicable Analysis 91 (6), 1129-1154, 2012
352012
Diffusion of strongly sorbed solutes in soil: a dual‐porosity model allowing for slow access to sorption sites and time‐dependent sorption reactions
M Ptashnyk, T Roose, GJD Kirk
European Journal of Soil Science 61 (1), 108-119, 2010
332010
Analysis of root growth from a phenotyping data set using a density-based model
DI Kalogiros, MO Adu, PJ White, MR Broadley, X Draye, M Ptashnyk, ...
Journal of Experimental Botany 67 (4), 1045-1058, 2016
292016
Landau--Lifshitz--Slonczewski equations: global weak and classical solutions
C Melcher, M Ptashnyk
SIAM Journal on Mathematical Analysis 45 (1), 407-429, 2013
292013
Micromechanics of root development in soil
LX Dupuy, M Mimault, D Patko, V Ladmiral, B Ameduri, MP MacDonald, ...
Current opinion in genetics & development 51, 18-25, 2018
282018
Nonlinear pseudoparabolic equations as singular limit of reaction–diffusion equations
M Ptashnyk
Applicable Analysis 85 (10), 1285-1299, 2006
262006
A multiscale approach to curvature modulated sorting in biological membranes
M Mercker, M Ptashnyk, J Kühnle, D Hartmann, M Weiss, W Jäger
Journal of theoretical biology 301, 67-82, 2012
252012
Homogenization of long-range auxin transport in plant tissues
A Chavarría-Krauser, M Ptashnyk
Nonlinear Analysis: Real World Applications 11 (6), 4524-4532, 2010
242010
Homogenization of biomechanical models for plant tissues
A Piatnitski, M Ptashnyk
Multiscale Modeling & Simulation 15 (1), 339-387, 2017
222017
Mathematical modelling and analysis of the brassinosteroid and gibberellin signalling pathways and their interactions
HR Allen, M Ptashnyk
Journal of theoretical biology 432, 109-131, 2017
192017
From individual-based mechanical models of multicellular systems to free-boundary problems
T Lorenzi, PJ Murray, M Ptashnyk
Interfaces and Free Boundaries 22 (2), 205-244, 2020
172020
Mathematical modelling of auxin transport in plant tissues: flux meets signalling and growth
HR Allen, M Ptashnyk
Bulletin of mathematical biology 82, 1-35, 2020
172020
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Articles 1–20