Research output per year
Research output per year
- 12 results
Search results
-
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 proceeding › Chapter
2 Citations (Scopus) -
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 journal › Article › peer-review
Open AccessFile1 Citation (Scopus)204 Downloads (Pure) -
Homogenization of Biomechanical Models for Plant Tissues
Piatnitski, A. (Lead / Corresponding author) & Ptashnyk, M. (Lead / Corresponding author), 2017, In: Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal. 15, 1, p. 339-387 49 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile13 Citations (Scopus)164 Downloads (Pure) -
Mathematical Modelling and Analysis of the Brassinosteroid and Gibberellin Signalling Pathways and their Interactions
Allen, H. R. & Ptashnyk, M. (Lead / Corresponding author), 7 Nov 2017, In: Journal of Theoretical Biology. 432, p. 109-131 23 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile12 Citations (Scopus)55 Downloads (Pure) -
Multiscale modelling and analysis of signalling processes in tissues with non-periodic distribution of cells
Ptashnyk, M. (Lead / Corresponding author), Mar 2017, In: Vietnam Journal of Mathematics. 45, 1, p. 295-316 22 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile3 Citations (Scopus)192 Downloads (Pure) -
2016
Generalized Darcy–Oseen resolvent problem
Medková, D., Ptashnyk, M. (Lead / Corresponding author) & Varnhorn, W., 29 Mar 2016, In: Mathematical Methods in the Applied Sciences. 39, 6, p. 1621-1630 10 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile191 Downloads (Pure) -
Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics
Ptashnyk, M. (Lead / Corresponding author) & Seguin, B., 21 Mar 2016, In: Esaim: Mathematical Modelling and Numerical Analysis. 50, 2, p. 593-631 39 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile10 Citations (Scopus)215 Downloads (Pure) -
Periodic Homogenization and Material Symmetry in Linear Elasticity
Ptashnyk, M. & Seguin, B. (Lead / Corresponding author), Aug 2016, In: Journal of Elasticity. 124, 2, p. 225-241 17 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile3 Citations (Scopus)152 Downloads (Pure) -
Stochastic homogenization of the Keller-Segel chemotaxis system
Matzavinos, A. & Ptashnyk, M., Oct 2016, In: Nonlinear Analysis: Theory, Methods and Applications. 144, p. 58-76 19 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Citation (Scopus)181 Downloads (Pure) -
The impact of microbril orientations on the biomechanics of plant cell walls and tissues
Ptashnyk, M. (Lead / Corresponding author) & Seguin, B., Nov 2016, In: Bulletin of Mathematical Biology. 78, 11, p. 2135-2164 30 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile10 Citations (Scopus)159 Downloads (Pure) -
2015
Global Hopf bifurcation in the ZIP regulatory system
Claus, J. (Lead / Corresponding author), Ptashnyk, M. (Lead / Corresponding author), Bohmann, A. & Chavarría-Krauser, A. (Lead / Corresponding author), Oct 2015, In: Journal of Mathematical Biology. 71, 4, p. 795-816 22 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile3 Citations (Scopus)267 Downloads (Pure) -
Locally periodic unfolding method and two-scale convergence on surfaces of locally periodic microstructures
Ptashnyk, M., 2015, In: Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal. 13, 3, p. 1061-1105 45 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile12 Citations (Scopus)358 Downloads (Pure)