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Ptashnyk, Mariya

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Author ID: ptashnyk.mariya Recent zbMATH articles by "Ptashnyk, Mariya"
Published as: Ptashnyk, M.; Ptashnyk, Mariya
Documents Indexed: 43 Publications since 2000, including 1 Book

Publications by Year

Citations contained in zbMATH

30 Publications have been cited 208 times in 171 Documents Cited by Year
Boundedness of solutions of a haptotaxis model. Zbl 1194.35043
Marciniak-Czochra, Anna; Ptashnyk, Mariya
39
2010
Derivation of a macroscopic receptor-based model using homogenization techniques. Zbl 1178.35050
Marciniak-Czochra, Anna; Ptashnyk, Mariya
33
2008
Degenerate quasilinear pseudoparabolic equations with memory terms and variational inequalities. Zbl 1112.35116
Ptashnyk, Mariya
18
2007
Unfolding-based corrector estimates for a reaction–diffusion system predicting concrete corrosion. Zbl 1258.35016
Fatima, Tasnim; Muntean, Adrian; Ptashnyk, Mariya
14
2012
Hopf bifurcation in a gene regulatory network model: molecular movement causes oscillations. Zbl 1326.92019
Chaplain, Mark; Ptashnyk, Mariya; Sturrock, Marc
9
2015
Derivation of a macroscopic model for transport of strongly sorbed solutes in the soil using homogenization theory. Zbl 1230.35014
Ptashnyk, Mariya; Roose, Tiina
9
2010
Locally periodic unfolding method and two-scale convergence on surfaces of locally periodic microstructures. Zbl 1332.35032
Ptashnyk, Mariya
8
2015
Homogenization of biomechanical models for plant tissues. Zbl 1383.35019
Piatnitski, Andrey; Ptashnyk, Mariya
7
2017
Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics. Zbl 1342.35031
Ptashnyk, Mariya; Seguin, Brian
7
2016
Two-scale convergence for locally periodic microstructures and homogenization of plywood structures. Zbl 1267.35023
Ptashnyk, Mariya
7
2013
Landau-Lifshitz-Slonczewski equations: global weak and classical solutions. Zbl 1439.35223
Melcher, Christof; Ptashnyk, Mariya
7
2013
Homogenization approach to water transport in plant tissues with periodic microstructures. Zbl 1282.35036
Chavarría-Krauser, A.; Ptashnyk, M.
6
2013
A multiscale approach to curvature modulated sorting in biological membranes. Zbl 1397.92062
Mercker, M.; Ptashnyk, M.; Kühnle, J.; Hartmann, D.; Weiss, M.; Jäger, W.
6
2012
Pseudoparabolic equations with convection. Zbl 1138.35048
Ptashnyk, Mariya
5
2007
Homogenization of long-range auxin transport in plant tissues. Zbl 1204.35037
Chavarría-Krauser, Andrés; Ptashnyk, Mariya
4
2010
The impact of microfibril orientations on the biomechanics of plant cell walls and tissues. Zbl 1357.92006
Ptashnyk, Mariya; Seguin, Brian
3
2016
Derivation of a macroscopic model for nutrient uptake by hairy-roots. Zbl 1202.35176
Ptashnyk, Mariya
3
2010
Modelling in vitro growth of dense root networks. Zbl 1400.92333
Bastian, Peter; Chavarría-Krauser, Andrés; Engwer, Christian; Jäger, Willi; Marnach, Sven; Ptashnyk, Mariya
3
2008
Nonlinear pseudoparabolic equations as singular limit of reaction–diffusion equations. Zbl 1107.35061
Ptashnyk, Mariya
3
2006
Nonlinear pseudoparabolic equations and variational inequalities. Zbl 1077.35074
Ptashnyk, Mariya
3
2004
Multiscale modelling and analysis of signalling processes in tissues with non-periodic distribution of cells. Zbl 1372.35313
Ptashnyk, Mariya
2
2017
Periodic homogenization and material symmetry in linear elasticity. Zbl 1349.74052
Ptashnyk, Mariya; Seguin, Brian
2
2016
Homogenization of oxygen transport in biological tissues. Zbl 1342.35030
Matzavinos, Anastasios; Ptashnyk, Mariya
2
2016
Root growth: homogenization in domains with time dependent partial perforations. Zbl 1259.35023
Capdeboscq, Yves; Ptashnyk, Mariya
2
2012
Mathematical modelling of auxin transport in plant tissues: flux meets signalling and growth. Zbl 1432.92041
Allen, Henry R.; Ptashnyk, Mariya
1
2020
Smoothed particle hydrodynamics for root growth mechanics. Zbl 07063055
Mimault, Matthias; Ptashnyk, Mariya; Bassel, George W.; Dupuy, Lionel X.
1
2019
Mathematical modelling and analysis of the brassinosteroid and gibberellin signalling pathways and their interactions. Zbl 1393.92010
Allen, Henry R.; Ptashnyk, Mariya
1
2017
Stochastic homogenization of the Keller-Segel chemotaxis system. Zbl 1381.35192
Matzavinos, Anastasios; Ptashnyk, Mariya
1
2016
Integral representation of a solution to the Stokes-Darcy problem. Zbl 1335.35184
Medková, Dagmar; Ptashnyk, Mariya; Varnhorn, Werner
1
2015
Stability of nonconstant stationary solutions in a reaction-diffusion equation coupled to the system of ordinary differential equations. Zbl 1264.35034
Golovaty, Yuriy; Marciniak-Czochra, Anna; Ptashnyk, Mariya
1
2012
Mathematical modelling of auxin transport in plant tissues: flux meets signalling and growth. Zbl 1432.92041
Allen, Henry R.; Ptashnyk, Mariya
1
2020
Smoothed particle hydrodynamics for root growth mechanics. Zbl 07063055
Mimault, Matthias; Ptashnyk, Mariya; Bassel, George W.; Dupuy, Lionel X.
1
2019
Homogenization of biomechanical models for plant tissues. Zbl 1383.35019
Piatnitski, Andrey; Ptashnyk, Mariya
7
2017
Multiscale modelling and analysis of signalling processes in tissues with non-periodic distribution of cells. Zbl 1372.35313
Ptashnyk, Mariya
2
2017
Mathematical modelling and analysis of the brassinosteroid and gibberellin signalling pathways and their interactions. Zbl 1393.92010
Allen, Henry R.; Ptashnyk, Mariya
1
2017
Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics. Zbl 1342.35031
Ptashnyk, Mariya; Seguin, Brian
7
2016
The impact of microfibril orientations on the biomechanics of plant cell walls and tissues. Zbl 1357.92006
Ptashnyk, Mariya; Seguin, Brian
3
2016
Periodic homogenization and material symmetry in linear elasticity. Zbl 1349.74052
Ptashnyk, Mariya; Seguin, Brian
2
2016
Homogenization of oxygen transport in biological tissues. Zbl 1342.35030
Matzavinos, Anastasios; Ptashnyk, Mariya
2
2016
Stochastic homogenization of the Keller-Segel chemotaxis system. Zbl 1381.35192
Matzavinos, Anastasios; Ptashnyk, Mariya
1
2016
Hopf bifurcation in a gene regulatory network model: molecular movement causes oscillations. Zbl 1326.92019
Chaplain, Mark; Ptashnyk, Mariya; Sturrock, Marc
9
2015
Locally periodic unfolding method and two-scale convergence on surfaces of locally periodic microstructures. Zbl 1332.35032
Ptashnyk, Mariya
8
2015
Integral representation of a solution to the Stokes-Darcy problem. Zbl 1335.35184
Medková, Dagmar; Ptashnyk, Mariya; Varnhorn, Werner
1
2015
Two-scale convergence for locally periodic microstructures and homogenization of plywood structures. Zbl 1267.35023
Ptashnyk, Mariya
7
2013
Landau-Lifshitz-Slonczewski equations: global weak and classical solutions. Zbl 1439.35223
Melcher, Christof; Ptashnyk, Mariya
7
2013
Homogenization approach to water transport in plant tissues with periodic microstructures. Zbl 1282.35036
Chavarría-Krauser, A.; Ptashnyk, M.
6
2013
Unfolding-based corrector estimates for a reaction–diffusion system predicting concrete corrosion. Zbl 1258.35016
Fatima, Tasnim; Muntean, Adrian; Ptashnyk, Mariya
14
2012
A multiscale approach to curvature modulated sorting in biological membranes. Zbl 1397.92062
Mercker, M.; Ptashnyk, M.; Kühnle, J.; Hartmann, D.; Weiss, M.; Jäger, W.
6
2012
Root growth: homogenization in domains with time dependent partial perforations. Zbl 1259.35023
Capdeboscq, Yves; Ptashnyk, Mariya
2
2012
Stability of nonconstant stationary solutions in a reaction-diffusion equation coupled to the system of ordinary differential equations. Zbl 1264.35034
Golovaty, Yuriy; Marciniak-Czochra, Anna; Ptashnyk, Mariya
1
2012
Boundedness of solutions of a haptotaxis model. Zbl 1194.35043
Marciniak-Czochra, Anna; Ptashnyk, Mariya
39
2010
Derivation of a macroscopic model for transport of strongly sorbed solutes in the soil using homogenization theory. Zbl 1230.35014
Ptashnyk, Mariya; Roose, Tiina
9
2010
Homogenization of long-range auxin transport in plant tissues. Zbl 1204.35037
Chavarría-Krauser, Andrés; Ptashnyk, Mariya
4
2010
Derivation of a macroscopic model for nutrient uptake by hairy-roots. Zbl 1202.35176
Ptashnyk, Mariya
3
2010
Derivation of a macroscopic receptor-based model using homogenization techniques. Zbl 1178.35050
Marciniak-Czochra, Anna; Ptashnyk, Mariya
33
2008
Modelling in vitro growth of dense root networks. Zbl 1400.92333
Bastian, Peter; Chavarría-Krauser, Andrés; Engwer, Christian; Jäger, Willi; Marnach, Sven; Ptashnyk, Mariya
3
2008
Degenerate quasilinear pseudoparabolic equations with memory terms and variational inequalities. Zbl 1112.35116
Ptashnyk, Mariya
18
2007
Pseudoparabolic equations with convection. Zbl 1138.35048
Ptashnyk, Mariya
5
2007
Nonlinear pseudoparabolic equations as singular limit of reaction–diffusion equations. Zbl 1107.35061
Ptashnyk, Mariya
3
2006
Nonlinear pseudoparabolic equations and variational inequalities. Zbl 1077.35074
Ptashnyk, Mariya
3
2004
all top 5

Cited by 289 Authors

17 Ptashnyk, Mariya
11 Muntean, Adrian
9 Wang, Yifu
8 Chaplain, Mark A. J.
8 Marciniak-Czochra, Anna K.
7 Zheng, Jiashan
6 Winkler, Michael
5 Knabner, Peter
4 Bellomo, Nicola
4 Bellouquid, Abdelghani
4 Collis, Joe
4 O’Dea, Reuben D.
4 Seguin, Brian
4 Timofte, Claudia
3 Cao, Yang
3 Di, Huafei
3 Fatima, Tasnim
3 Hubbard, Matthew E.
3 Karch, Grzegorz
3 Liu, Bin
3 Macnamara, Cicely K.
3 Melcher, Christof
3 Neuss-Radu, Maria
3 Nikolopoulos, Christos V.
3 Pang, Peter Y. H.
3 Ray, Nadja
3 Shang, Yadong
3 Suzuki, Kanako
3 Szymańska, Zuzanna
3 Tao, Youshan
3 Yin, Jingxue
2 Amar, Micol
2 Andreucci, Daniele
2 Band, Leah R.
2 Chakib, Abdelkrim
2 Chouhad, Nadia
2 Collin, Annabelle
2 Dai, Feng
2 de Araujo, Anderson Luis Albuquerque
2 de Magalhães, Paulo M. Dias
2 Dupuy, Lionel Xavier
2 Elliott, Charles M.
2 Frank, Florian
2 Fujie, Kentarou
2 Gahn, Markus
2 Gianni, Roberto
2 Hadri, Aissam
2 Härting, Steffen
2 Imperiale, Sébastien
2 Ke, Yuanyuan
2 Kimmel, Marek
2 Lachowicz, Mirosław
2 Li, Dan
2 Li, Yinghua
2 Liu, Ji
2 Liu, Ling
2 Matzavinos, Anastasios
2 Medková, Dagmar
2 Mitchell, Elaine I.
2 Mu, Chunlai
2 Piatnitski, Andrey L.
2 Pop, Iuliu Sorin
2 Ranner, Thomas
2 Reichelt, Sina
2 Sfakianakis, Nikolaos I.
2 Surulescu, Christina
2 Takagi, Izumi
2 Trucu, Dumitru
2 Uatay, Aydar
2 Varnhorn, Werner
2 Venkataraman, Chandrasekhar
1 Aiki, Toyohiko
1 Aiyappan, S.
1 Alarcón, Tomás
1 Ambrosi, Davide
1 Amirali, Ilhame
1 Amiraliyev, Gabil M.
1 Amirov, Sherif
1 Arab, Nasrin
1 Arrieta, José M.
1 Bartłomiejczyk, Agnieszka
1 Bassel, George W.
1 Bauzet, Caroline
1 Bekkouche, F.
1 Bennett, Thomas P.
1 Beyer, Robert
1 Bodnar, Marek
1 Bokalo, Mykola M.
1 Brook, Bindi S.
1 Brown, David L.
1 Buffa, Francesca M.
1 Bunoiu, Renata
1 Burini, Diletta
1 Çakır, Musa
1 Calvo, Juan G.
1 Cantrell, Doreen A.
1 Cardone, Giuseppe
1 Chapelle, Dominique
1 Chen, Hua
1 Chikouche, Wided
...and 189 more Authors
all top 5

Cited in 68 Serials

15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 Journal of Mathematical Analysis and Applications
8 Journal of Differential Equations
7 Computers & Mathematics with Applications
6 Mathematical Methods in the Applied Sciences
6 Multiscale Modeling & Simulation
6 Journal of Theoretical Biology
5 Bulletin of Mathematical Biology
5 SIAM Journal on Mathematical Analysis
5 Nonlinear Analysis. Real World Applications
4 Journal of Mathematical Biology
4 Nonlinearity
4 SIAM Journal on Applied Mathematics
4 Discrete and Continuous Dynamical Systems
4 Networks and Heterogeneous Media
3 Applicable Analysis
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of Computational Physics
3 Journal of Engineering Mathematics
3 European Journal of Applied Mathematics
3 Discrete and Continuous Dynamical Systems. Series B
2 International Journal of Engineering Science
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Applied Mathematics and Computation
2 Applied Mathematics Letters
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Calculus of Variations and Partial Differential Equations
2 Mathematics and Mechanics of Solids
2 Vietnam Journal of Mathematics
2 Mathematical Biosciences and Engineering
2 Discrete and Continuous Dynamical Systems. Series S
1 International Journal of Control
1 Mathematical Biosciences
1 Chaos, Solitons and Fractals
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerische Mathematik
1 Quarterly of Applied Mathematics
1 Computational Mechanics
1 Journal of Scientific Computing
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 International Journal of Computer Mathematics
1 Journal of Elasticity
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Journal of Nonlinear Science
1 Journal of Mathematical Sciences (New York)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Engineering Analysis with Boundary Elements
1 Computing and Visualization in Science
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Abstract and Applied Analysis
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Communications in Nonlinear Science and Numerical Simulation
1 The ANZIAM Journal
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Communications on Pure and Applied Analysis
1 Oberwolfach Reports
1 Boundary Value Problems
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Mathematical Modelling of Natural Phenomena
1 Afrika Matematika
1 Mathematical Control and Related Fields
1 Communications in Applied and Industrial Mathematics
1 Evolution Equations and Control Theory
1 Advances in Nonlinear Analysis
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year