Edit Profile Ptashnyk, Mariya Compute Distance To: Compute Author ID: ptashnyk.mariya Published as: Ptashnyk, M.; Ptashnyk, Mariya Documents Indexed: 43 Publications since 2000, including 1 Book all top 5 Co-Authors 11 single-authored 4 Chavarría Krauser, Andrés 4 Seguin, Brian 3 Marciniak-Czochra, Anna K. 2 Allen, Henry R. 2 Dupuy, Lionel Xavier 2 Matzavinos, Anastasios 2 Medková, Dagmar 2 Piatnitski, Andrey L. 2 Varnhorn, Werner 1 Athanassoulis, Agisillaos 1 Athanassoulis, Gerassimos A. 1 Bassel, George W. 1 Bastian, Peter 1 Bengough, Anthony G. 1 Bohmann, Ansgar 1 Capdeboscq, Yves 1 Chaplain, Mark A. J. 1 Claus, Juliane 1 De La Fuente Canto, C. 1 Engwer, Christian 1 Fatima, Tasnim 1 George, T. S. 1 Golovatyj, Yuriy Danilovich 1 Jäger, Willi 1 Jüngel, Ansgar 1 Kalogiros, D. I. 1 Lorenzi, Tommaso 1 Marnach, Sven 1 Melcher, Christof 1 Mimault, Matthias 1 Muntean, Adrian 1 Murray, Philip J. 1 Roose, Tiina 1 Russell, Jennifer R. 1 Sapsis, Themistoklis P. 1 Sturrock, Marc 1 Venkataraman, Chandrasekhar 1 Waugh, R. all top 5 Serials 4 Multiscale Modeling & Simulation 3 Applicable Analysis 3 Journal of Theoretical Biology 2 Mathematical Methods in the Applied Sciences 2 Bulletin of Mathematical Biology 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Nonlinear Analysis. Real World Applications 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Nonlinearity 1 Journal of Differential Equations 1 Visnyk L’vivs’kogo Universytetu. Seriya Mekhaniko-Matematychna 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 Engineering Analysis with Boundary Elements 1 Vietnam Journal of Mathematics 1 Interfaces and Free Boundaries 1 Nonlinear Boundary Value Problems 1 Communications on Pure and Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Mathematical Modelling of Natural Phenomena 1 Kinetic and Related Models all top 5 Fields 32 Partial differential equations (35-XX) 15 Biology and other natural sciences (92-XX) 10 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 3 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications 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 1194.35043Marciniak-Czochra, Anna; Ptashnyk, Mariya 39 2010 Derivation of a macroscopic receptor-based model using homogenization techniques. Zbl 1178.35050Marciniak-Czochra, Anna; Ptashnyk, Mariya 33 2008 Degenerate quasilinear pseudoparabolic equations with memory terms and variational inequalities. Zbl 1112.35116Ptashnyk, Mariya 18 2007 Unfolding-based corrector estimates for a reaction–diffusion system predicting concrete corrosion. Zbl 1258.35016Fatima, Tasnim; Muntean, Adrian; Ptashnyk, Mariya 14 2012 Hopf bifurcation in a gene regulatory network model: molecular movement causes oscillations. Zbl 1326.92019Chaplain, 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 1230.35014Ptashnyk, Mariya; Roose, Tiina 9 2010 Locally periodic unfolding method and two-scale convergence on surfaces of locally periodic microstructures. Zbl 1332.35032Ptashnyk, Mariya 8 2015 Homogenization of biomechanical models for plant tissues. Zbl 1383.35019Piatnitski, Andrey; Ptashnyk, Mariya 7 2017 Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics. Zbl 1342.35031Ptashnyk, Mariya; Seguin, Brian 7 2016 Two-scale convergence for locally periodic microstructures and homogenization of plywood structures. Zbl 1267.35023Ptashnyk, Mariya 7 2013 Landau-Lifshitz-Slonczewski equations: global weak and classical solutions. Zbl 1439.35223Melcher, Christof; Ptashnyk, Mariya 7 2013 Homogenization approach to water transport in plant tissues with periodic microstructures. Zbl 1282.35036Chavarría-Krauser, A.; Ptashnyk, M. 6 2013 A multiscale approach to curvature modulated sorting in biological membranes. Zbl 1397.92062Mercker, M.; Ptashnyk, M.; Kühnle, J.; Hartmann, D.; Weiss, M.; Jäger, W. 6 2012 Pseudoparabolic equations with convection. Zbl 1138.35048Ptashnyk, Mariya 5 2007 Homogenization of long-range auxin transport in plant tissues. Zbl 1204.35037Chavarría-Krauser, Andrés; Ptashnyk, Mariya 4 2010 The impact of microfibril orientations on the biomechanics of plant cell walls and tissues. Zbl 1357.92006Ptashnyk, Mariya; Seguin, Brian 3 2016 Derivation of a macroscopic model for nutrient uptake by hairy-roots. Zbl 1202.35176Ptashnyk, Mariya 3 2010 Modelling in vitro growth of dense root networks. Zbl 1400.92333Bastian, 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 1107.35061Ptashnyk, Mariya 3 2006 Nonlinear pseudoparabolic equations and variational inequalities. Zbl 1077.35074Ptashnyk, Mariya 3 2004 Multiscale modelling and analysis of signalling processes in tissues with non-periodic distribution of cells. Zbl 1372.35313Ptashnyk, Mariya 2 2017 Periodic homogenization and material symmetry in linear elasticity. Zbl 1349.74052Ptashnyk, Mariya; Seguin, Brian 2 2016 Homogenization of oxygen transport in biological tissues. Zbl 1342.35030Matzavinos, Anastasios; Ptashnyk, Mariya 2 2016 Root growth: homogenization in domains with time dependent partial perforations. Zbl 1259.35023Capdeboscq, Yves; Ptashnyk, Mariya 2 2012 Mathematical modelling of auxin transport in plant tissues: flux meets signalling and growth. Zbl 1432.92041Allen, Henry R.; Ptashnyk, Mariya 1 2020 Smoothed particle hydrodynamics for root growth mechanics. Zbl 07063055Mimault, 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 1393.92010Allen, Henry R.; Ptashnyk, Mariya 1 2017 Stochastic homogenization of the Keller-Segel chemotaxis system. Zbl 1381.35192Matzavinos, Anastasios; Ptashnyk, Mariya 1 2016 Integral representation of a solution to the Stokes-Darcy problem. Zbl 1335.35184Medková, 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 1264.35034Golovaty, Yuriy; Marciniak-Czochra, Anna; Ptashnyk, Mariya 1 2012 Mathematical modelling of auxin transport in plant tissues: flux meets signalling and growth. Zbl 1432.92041Allen, Henry R.; Ptashnyk, Mariya 1 2020 Smoothed particle hydrodynamics for root growth mechanics. Zbl 07063055Mimault, Matthias; Ptashnyk, Mariya; Bassel, George W.; Dupuy, Lionel X. 1 2019 Homogenization of biomechanical models for plant tissues. Zbl 1383.35019Piatnitski, Andrey; Ptashnyk, Mariya 7 2017 Multiscale modelling and analysis of signalling processes in tissues with non-periodic distribution of cells. Zbl 1372.35313Ptashnyk, Mariya 2 2017 Mathematical modelling and analysis of the brassinosteroid and gibberellin signalling pathways and their interactions. Zbl 1393.92010Allen, Henry R.; Ptashnyk, Mariya 1 2017 Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics. Zbl 1342.35031Ptashnyk, Mariya; Seguin, Brian 7 2016 The impact of microfibril orientations on the biomechanics of plant cell walls and tissues. Zbl 1357.92006Ptashnyk, Mariya; Seguin, Brian 3 2016 Periodic homogenization and material symmetry in linear elasticity. Zbl 1349.74052Ptashnyk, Mariya; Seguin, Brian 2 2016 Homogenization of oxygen transport in biological tissues. Zbl 1342.35030Matzavinos, Anastasios; Ptashnyk, Mariya 2 2016 Stochastic homogenization of the Keller-Segel chemotaxis system. Zbl 1381.35192Matzavinos, Anastasios; Ptashnyk, Mariya 1 2016 Hopf bifurcation in a gene regulatory network model: molecular movement causes oscillations. Zbl 1326.92019Chaplain, Mark; Ptashnyk, Mariya; Sturrock, Marc 9 2015 Locally periodic unfolding method and two-scale convergence on surfaces of locally periodic microstructures. Zbl 1332.35032Ptashnyk, Mariya 8 2015 Integral representation of a solution to the Stokes-Darcy problem. Zbl 1335.35184Medková, Dagmar; Ptashnyk, Mariya; Varnhorn, Werner 1 2015 Two-scale convergence for locally periodic microstructures and homogenization of plywood structures. Zbl 1267.35023Ptashnyk, Mariya 7 2013 Landau-Lifshitz-Slonczewski equations: global weak and classical solutions. Zbl 1439.35223Melcher, Christof; Ptashnyk, Mariya 7 2013 Homogenization approach to water transport in plant tissues with periodic microstructures. Zbl 1282.35036Chavarría-Krauser, A.; Ptashnyk, M. 6 2013 Unfolding-based corrector estimates for a reaction–diffusion system predicting concrete corrosion. Zbl 1258.35016Fatima, Tasnim; Muntean, Adrian; Ptashnyk, Mariya 14 2012 A multiscale approach to curvature modulated sorting in biological membranes. Zbl 1397.92062Mercker, M.; Ptashnyk, M.; Kühnle, J.; Hartmann, D.; Weiss, M.; Jäger, W. 6 2012 Root growth: homogenization in domains with time dependent partial perforations. Zbl 1259.35023Capdeboscq, Yves; Ptashnyk, Mariya 2 2012 Stability of nonconstant stationary solutions in a reaction-diffusion equation coupled to the system of ordinary differential equations. Zbl 1264.35034Golovaty, Yuriy; Marciniak-Czochra, Anna; Ptashnyk, Mariya 1 2012 Boundedness of solutions of a haptotaxis model. Zbl 1194.35043Marciniak-Czochra, Anna; Ptashnyk, Mariya 39 2010 Derivation of a macroscopic model for transport of strongly sorbed solutes in the soil using homogenization theory. Zbl 1230.35014Ptashnyk, Mariya; Roose, Tiina 9 2010 Homogenization of long-range auxin transport in plant tissues. Zbl 1204.35037Chavarría-Krauser, Andrés; Ptashnyk, Mariya 4 2010 Derivation of a macroscopic model for nutrient uptake by hairy-roots. Zbl 1202.35176Ptashnyk, Mariya 3 2010 Derivation of a macroscopic receptor-based model using homogenization techniques. Zbl 1178.35050Marciniak-Czochra, Anna; Ptashnyk, Mariya 33 2008 Modelling in vitro growth of dense root networks. Zbl 1400.92333Bastian, 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 1112.35116Ptashnyk, Mariya 18 2007 Pseudoparabolic equations with convection. Zbl 1138.35048Ptashnyk, Mariya 5 2007 Nonlinear pseudoparabolic equations as singular limit of reaction–diffusion equations. Zbl 1107.35061Ptashnyk, Mariya 3 2006 Nonlinear pseudoparabolic equations and variational inequalities. Zbl 1077.35074Ptashnyk, Mariya 3 2004 all cited Publications top 5 cited Publications 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 all top 5 Cited in 17 Fields 136 Partial differential equations (35-XX) 83 Biology and other natural sciences (92-XX) 26 Mechanics of deformable solids (74-XX) 23 Fluid mechanics (76-XX) 18 Numerical analysis (65-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Ordinary differential equations (34-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Systems theory; control (93-XX) 4 Probability theory and stochastic processes (60-XX) 4 Optics, electromagnetic theory (78-XX) 3 Operator theory (47-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year