• 426 Citations
  • 13 h-Index
20062020

Research output per year

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Research Output

  • 426 Citations
  • 13 h-Index
  • 39 Article
  • 1 Chapter
  • 1 Special issue
2020

Mathematical Modelling of Auxin Transport in Plant Tissues: Flux Meets Signalling and Growth

Allen, H. R. & Ptashnyk, M., Feb 2020, In : Bulletin of Mathematical Biology. 82, 2, p. 1-32 32 p., 17.

Research output: Contribution to journalArticle

Open Access
File
24 Downloads (Pure)

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

Athanassoulis, A., Athanassoulis, G., Ptashnyk, M. & Sapsis, T., 4 Mar 2020, (Accepted/In press) In : Kinetic and Related Models. 33 p.

Research output: Contribution to journalArticle

2019

Homogenization of some degenerate pseudoparabolic variational inequalities

Ptashnyk, M., 1 Jan 2019, In : Journal of Mathematical Analysis and Applications. 469, 1, p. 44-75 32 p.

Research output: Contribution to journalArticle

2018

Calcium-pectin chemistry and biomechanics: Biological background and mathematical modelling

Ptashnyk, M. & Allen, H. R., 9 Jun 2018, Plant Biomechanics: From Structure to Function at Multiple Scales. Springer International Publishing, p. 273-303 31 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Micromechanics of root development in soil

Dupuy, L. X., Mimault, M., Patko, D., Ladmiral, V., Ameduri, B., MacDonald, M. P. & Ptashnyk, M., 1 Aug 2018, In : Current Opinion in Genetics & Development. 51, p. 18-25 8 p.

Research output: Contribution to journalArticle

Open Access
File
4 Citations (Scopus)
138 Downloads (Pure)

Morphological and genetic characterisation of the root system architecture of selected barley recombinant chromosome substitution lines using an integrated phenotyping approach

Canto, C. D. L. F., Kalogiros, D. I., Ptashnyk, M., George, T. S., Waugh, R., Bengough, A. G., Russell, J. & Dupuy, L. X., 14 Jun 2018, In : Journal of Theoretical Biology. 447, p. 84-97 14 p.

Research output: Contribution to journalArticle

Open Access
File
2 Citations (Scopus)
118 Downloads (Pure)
2017

Homogenization of a viscoelastic model for plant cell wall biomechanics

Ptashnyk, M. & Seguin, B., Oct 2017, In : ESAIM: Control, Optimisation and Calculus of Variations. 23, 4, p. 1447-1471 26 p.

Research output: Contribution to journalArticle

Open Access
File
140 Downloads (Pure)

Homogenization of Biomechanical Models for Plant Tissues

Piatnitski, A. & Ptashnyk, M., 2017, In : Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal. 15, 1, p. 339-387 49 p.

Research output: Contribution to journalArticle

Open Access
File
5 Citations (Scopus)
102 Downloads (Pure)

Mathematical Modelling and Analysis of the Brassinosteroid and Gibberellin Signalling Pathways and their Interactions

Allen, H. R. & Ptashnyk, M., 7 Nov 2017, In : Journal of Theoretical Biology. 432, p. 109-131 23 p.

Research output: Contribution to journalArticle

Open Access
File
4 Citations (Scopus)
45 Downloads (Pure)
Open Access
File
2 Citations (Scopus)
144 Downloads (Pure)
2016

Analysis of root growth from a phenotyping data set using a density-based model

Kalogiros, D. I., Adu, M. O., White, P. J., Broadley, M. R., Draye, X., Ptashnyk, M., Bengough, A. G. & Dupuy, L. X., Feb 2016, In : Journal of Experimental Botany. 67, 4, p. 1045-1058 14 p.

Research output: Contribution to journalArticle

Open Access
File
16 Citations (Scopus)
119 Downloads (Pure)

Generalized Darcy–Oseen resolvent problem

Medková, D., Ptashnyk, M. & Varnhorn, W., 29 Mar 2016, In : Mathematical Models and Methods in Applied Sciences. 39, 6, p. 1621-1630 10 p.

Research output: Contribution to journalArticle

Open Access
File
145 Downloads (Pure)
Open Access
File
9 Citations (Scopus)
153 Downloads (Pure)

Homogenization of oxygen transport in biological tissues

Matzavinos, A. & Ptashnyk, M., 2016, In : Applicable Analysis. 95, 5, p. 1013-1049 37 p.

Research output: Contribution to journalArticle

Open Access
File
4 Citations (Scopus)
103 Downloads (Pure)

Periodic Homogenization and Material Symmetry in Linear Elasticity

Ptashnyk, M. & Seguin, B., Aug 2016, In : Journal of Elasticity. 124, 2, p. 225-241 17 p.

Research output: Contribution to journalArticle

Open Access
File
1 Citation (Scopus)
113 Downloads (Pure)

Preface. Bifurcations and Pattern Formation in Biological Applications

Morozov, A., Ptashnyk, M. & Volpert, V., 2016, In : Mathematical Modelling of Natural Phenomena. 11, 5, p. 1-3 3 p.

Research output: Contribution to journalArticle

Open Access
File
117 Downloads (Pure)

Stochastic homogenization of the Keller-Segel chemotaxis system

Matzavinos, A. & Ptashnyk, M., Oct 2016, In : Nonlinear Analysis. 144, p. 58-76 19 p.

Research output: Contribution to journalArticle

Open Access
File
131 Downloads (Pure)

The impact of microbril orientations on the biomechanics of plant cell walls and tissues

Ptashnyk, M. & Seguin, B., Nov 2016, In : Bulletin of Mathematical Biology. 78, 11, p. 2135-2164 30 p.

Research output: Contribution to journalArticle

Open Access
File
3 Citations (Scopus)
83 Downloads (Pure)
2015

Global Hopf bifurcation in the ZIP regulatory system

Claus, J., Ptashnyk, M., Bohmann, A. & Chavarría-Krauser, A., Oct 2015, In : Journal of Mathematical Biology. 71, 4, p. 795-816 22 p.

Research output: Contribution to journalArticle

Open Access
File
1 Citation (Scopus)
205 Downloads (Pure)

Hopf bifurcation in a gene regulatory network model: Molecular movement causes oscillations

Chaplain, M., Ptashnyk, M. & Sturrock, M., 15 Jun 2015, In : Mathematical Models and Methods in Applied Sciences. 25, 6, p. 1179-1215 37 p.

Research output: Contribution to journalArticle

Open Access
File
14 Citations (Scopus)
117 Downloads (Pure)

Integral representation of a solution to the Stokes-Darcy problem

Medková, D., Ptashnyk, M. & Varnhorn, W., 30 Nov 2015, In : Mathematical Methods in the Applied Sciences. 38, 17, p. 3968-3979 12 p.

Research output: Contribution to journalArticle

Open Access
File
1 Citation (Scopus)
169 Downloads (Pure)
Open Access
File
7 Citations (Scopus)
187 Downloads (Pure)
2013

Landau-Lifshitz-Slonczewski equations: global weak and classical solutions

Melcher, C. & Ptashnyk, M., 2013, In : SIAM Journal on Mathematical Analysis. 45, 1, p. 407-429 23 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)
8 Citations (Scopus)
2012

A multiscale approach to curvature modulated sorting in biological membranes

Mercker, M., Ptashnyk, M., Kuhnle, J., Hartmann, D., Weiss, M. & Jager, W., May 2012, In : Journal of Theoretical Biology. 301, 5, p. 67-82 16 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)

Analysis and Approximation of Microstructure Models: preface to special issue

Muntean, A., Ptashnyk, M. & Showalter, R. E., 1 Jun 2012, In : Applicable Analysis. 91, 6, p. 1053-1054 2 p.

Research output: Contribution to journalSpecial issue

2 Citations (Scopus)

Root growth: homogenization in domains with time dependent partial perforations

Capdeboscq, Y. & Ptashnyk, M., 2012, In : ESAIM: Control, Optimisation and Calculus of Variations. 18, 3, p. 856-876 21 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Stability of nonconstant stationary solutions in a reaction-diffusion equation coupled to the system of ordinary differential equations

Golovaty, Y., Marciniak-Czochra, A. & Ptashnyk, M., Jan 2012, In : Communications on Pure and Applied Analysis. 11, 1, p. 229-241 13 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Unfolding-based corrector estimates for a reaction-diffusion system predicting concrete corrosion

Fatima, T., Muntean, A. & Ptashnyk, M., 2012, In : Applicable Analysis. 91, 6, p. 1129-1154 26 p.

Research output: Contribution to journalArticle

19 Citations (Scopus)
2011

Enhanced zinc uptake by rice through phytosiderophore secretion: a modelling study

Ptashnyk, M., Roose, T., Jones, D. L. & Kirk, G. J. D., Dec 2011, In : Plant, Cell & Environment. 34, 12, p. 2038-2046 9 p.

Research output: Contribution to journalArticle

31 Citations (Scopus)
2010

A dynamic model of nutrient uptake by root hairs

Leitner, D., Klepsch, S., Schnepf, A., Ptashnyk, M., Marchant, A., Kirk, G. J. D. & Roose, T., 1 Feb 2010, In : New Phytologist. 185, 3, p. 792-802 11 p.

Research output: Contribution to journalArticle

54 Citations (Scopus)

Boundedness of solutions of a haptotaxis model

Marciniak-Czochra, A. & Ptashnyk, M., Mar 2010, In : Mathematical Models and Methods in Applied Sciences. 20, 3, p. 449-476 28 p.

Research output: Contribution to journalArticle

44 Citations (Scopus)

Derivation of a macroscopic model for nutrient uptake by hairy-roots

Ptashnyk, M., Dec 2010, In : Nonlinear Analysis: Real World Applications. 11, 6, p. 4586-4596 11 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)
20 Citations (Scopus)
19 Citations (Scopus)

Homogenization of long-range auxin transport in plant tissues

Chavarría-Krauser, A. & Ptashnyk, M., Dec 2010, In : Nonlinear Analysis: Real World Applications. 11, 6, p. 4524-4532 9 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)
2008

Derivation of a macroscopic receptor-based model using homogenization techniques

Marciniak-Czochra, A. & Ptashnyk, M., 1 Jan 2008, In : SIAM Journal on Mathematical Analysis. 40, 1, p. 215-237 23 p.

Research output: Contribution to journalArticle

50 Citations (Scopus)

Modelling in vitro growth of dense root networks

Bastian, P., Chavarría-Krauser, A., Engwer, C., Jäger, W., Marnach, S. & Ptashnyk, M., 2008, In : Journal of Theoretical Biology. 254, 1, p. 99-109 11 p.

Research output: Contribution to journalArticle

23 Citations (Scopus)
2007

Degenerate quasilinear pseudoparabolic equations with memory terms and variational inequalities

Ptashnyk, M., 15 Jun 2007, In : Nonlinear Analysis. 66, 12, p. 2653-2675 23 p.

Research output: Contribution to journalArticle

19 Citations (Scopus)

Pseudoparabolic equations with convection

Ptashnyk, M., 1 Dec 2007, In : IMA Journal of Applied Mathematics. 72, 6, p. 912-922 11 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)
2006

Nonlinear pseudoparabolic equations as singular limit of reaction-diffusion equations

Ptashnyk, M., Oct 2006, In : Applicable Analysis. 85, 10, p. 1285-1299 15 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)