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 | 127 | 2010 |
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 | 105 | 2008 |
Boundedness of solutions of a haptotaxis model A Marciniak-Czochra, M Ptashnyk Mathematical Models and Methods in Applied Sciences 20 (03), 449-476, 2010 | 94 | 2010 |
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 | 61 | 2011 |
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 | 45 | 2008 |
Degenerate quasilinear pseudoparabolic equations with memory terms and variational inequalities M Ptashnyk Nonlinear Analysis: Theory, Methods & Applications 66 (12), 2653-2675, 2007 | 43 | 2007 |
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 | 40 | 2015 |
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 | 40 | 2010 |
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 | 36 | 2012 |
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 | 34 | 2010 |
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 | 33 | 2018 |
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 | 31 | 2016 |
Landau--Lifshitz--Slonczewski equations: global weak and classical solutions C Melcher, M Ptashnyk SIAM Journal on Mathematical Analysis 45 (1), 407-429, 2013 | 31 | 2013 |
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 | 26 | 2012 |
Nonlinear pseudoparabolic equations as singular limit of reaction–diffusion equations M Ptashnyk Applicable Analysis 85 (10), 1285-1299, 2006 | 25 | 2006 |
Homogenization of biomechanical models for plant tissues A Piatnitski, M Ptashnyk Multiscale Modeling & Simulation 15 (1), 339-387, 2017 | 24 | 2017 |
Homogenization of long-range auxin transport in plant tissues A Chavarría-Krauser, M Ptashnyk Nonlinear Analysis: Real World Applications 11 (6), 4524-4532, 2010 | 24 | 2010 |
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 | 18 | 2017 |
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 | 17 | 2020 |
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 | 17 | 2020 |