## Marciniak-Czochra, Anna K.

Compute Distance To:
 Author ID: marciniak-czochra.anna-k Published as: Marciniak-Czochra, Anna; Marciniak-Czochra, A.; Marciniak-Czochra, Anna K. more...less
 Documents Indexed: 67 Publications since 2003, including 2 Books 2 Contributions as Editor Co-Authors: 74 Co-Authors with 63 Joint Publications 1,497 Co-Co-Authors
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### Co-Authors

 6 single-authored 10 Gwiazda, Piotr 9 Mikelić, Andro 8 Stiehl, Thomas-Peter 7 Karch, Grzegorz 7 Kimmel, Marek 5 Suzuki, Kanako 5 Takagi, Izumi 4 Getto, Philipp 3 Härting, Steffen 3 Ptashnyk, Mariya 2 Alarcón, Tomás 2 Busse, Jan-Erik 2 Carraro, Thomas 2 Carrillo de la Plata, José Antonio 2 Chaplain, Mark A. J. 2 Cygan, Szymon 2 Goll, Christian Reinhold 2 Kropielnicka, Karolina 2 Lorenzi, Tommaso 2 Mercker, Moritz 2 Nakata, Yukihiko 2 Perthame, Benoît 2 Thieme, Horst R. 2 Vivanco, Maria dM. 2 Wu, Boying 1 Afsharnezhad, Zahra 1 Berlyand, Leonid V. 1 Brasier, Allan R. 1 Castillo Robleda, Ana 1 Chulián, Salvador 1 Cuadrado, Sílvia 1 Doumic, Marie 1 Düll, Christian 1 Foryś, Urszula 1 Fuhrmann, Jan 1 Glazier, James A. 1 Golovatyj, Yuriy Danilovich 1 Goñi, Cristina Blázquez 1 Jabłoński, Jȩdrzej 1 Jamróz, Grzegorz 1 Kawka, Joanna 1 Knauer, Franziska 1 Köthe, Alexandra 1 Kowall, Chris 1 Lipniacki, Tomasz 1 Lorenz, Thomas 1 Lorz, Alexander 1 Martínez-Rubio, Álvaro 1 Mostolizadeh, Reihaneh 1 Nakayama, Madoka 1 Paszek, Pawel 1 Pérez-García, Víctor Manuel 1 Pfister, Stefan 1 Pleier, Sabrina 1 Ramirez-Orellana, Manuel 1 Richter, Thomas 1 Rodríguez Gutiérrez, Juan Francisco 1 Ronkainen, Veli-Pekka 1 Saarela, Ulla 1 Schaefer, Franz 1 Skovorodkin, Ilya 1 Skrzeczkowski, Jakub 1 Sluka, James P. 1 Stace, Rebecca E. A. 1 Sturm, Dominik 1 Surulescu, Christina 1 Szymańska, Zuzanna 1 Tikka, Pauli 1 Trucu, Dumitru 1 Ulikowska, Agnieszka 1 Urbański, Jakub 1 Vainio, Seppo 1 Zienkiewicz, Jacek 1 Zubelli, Jorge P.
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### Serials

 6 Journal of Mathematical Biology 4 Journal of Theoretical Biology 3 Mathematical Biosciences 3 Discrete and Continuous Dynamical Systems 3 Mathematical Modelling of Natural Phenomena 2 Mathematical Methods in the Applied Sciences 2 Journal of Differential Equations 2 Mathematical and Computer Modelling 2 Differential and Integral Equations 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Positivity 2 Oberwolfach Reports 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Applied Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Hiroshima Mathematical Journal 1 SIAM Journal on Numerical Analysis 1 Tôhoku Mathematical Journal. Second Series 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 1 Vietnam Journal of Mathematics 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Biological Systems 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Journal of Hyperbolic Differential Equations 1 Cambridge Monographs on Applied and Computational Mathematics 1 Journal of Biological Dynamics 1 Computational & Mathematical Methods in Medicine 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 Wiadomości Matematyczne 1 Numerical Algebra, Control and Optimization 1 SN Partial Differential Equations and Applications
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### Fields

 49 Partial differential equations (35-XX) 45 Biology and other natural sciences (92-XX) 12 Ordinary differential equations (34-XX) 6 Mechanics of deformable solids (74-XX) 5 Numerical analysis (65-XX) 5 Fluid mechanics (76-XX) 4 Measure and integration (28-XX) 4 Integral equations (45-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Systems theory; control (93-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX)

### Citations contained in zbMATH Open

57 Publications have been cited 648 times in 379 Documents Cited by Year
Boundedness of solutions of a haptotaxis model. Zbl 1194.35043
Marciniak-Czochra, Anna; Ptashnyk, Mariya
2010
A nonlinear structured population model: Lipschitz continuity of measure-valued solutions with respect to model ingredients. Zbl 1207.35205
Gwiazda, Piotr; Lorenz, Thomas; Marciniak-Czochra, Anna
2010
Derivation of a macroscopic receptor-based model using homogenization techniques. Zbl 1178.35050
Marciniak-Czochra, Anna; Ptashnyk, Mariya
2008
Characterization of stem cells using mathematical models of multistage cell lineages. Zbl 1219.34068
Stiehl, Thomas; Marciniak-Czochra, Anna
2011
Mathematical modeling of leukemogenesis and cancer stem cell dynamics. Zbl 1241.92045
Stiehl, T.; Marciniak-Czochra, A.
2012
Structured population equations in metric spaces. Zbl 1204.28007
Gwiazda, Piotr; Marciniak-Czochra, Anna
2010
Modelling of early lung cancer progression: influence of growth factor production and cooperation between partially transformed cells. Zbl 1135.92019
Marciniak-Czochra, Anna; Kimmel, Marek
2007
A structured population model of cell differentiation. Zbl 1235.35030
Doumic, Marie; Marciniak-Czochra, Anna; Perthame, Benoît; Zubelli, Jorge P.
2011
Pressure jump interface law for the Stokes-Darcy coupling: confirmation by direct numerical simulations. Zbl 1294.76233
Carraro, T.; Goll, C.; Marciniak-Czochra, A.; Mikelić, A.
2013
Instability of Turing patterns in reaction-diffusion-ODE systems. Zbl 1356.35043
Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako
2017
Unstable patterns in reaction-diffusion model of early carcinogenesis. Zbl 1295.35072
Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako
2013
Mathematical modelling of the influence of heat shock proteins on cancer invasion of tissue. Zbl 1311.92042
Szymańska, Zuzanna; Urbański, Jakub; Marciniak-Czochra, Anna
2009
Effective pressure interface law for transport phenomena between an unconfined fluid and a porous medium using homogenization. Zbl 1255.35030
Marciniak-Czochra, Anna; Mikelić, Andro
2012
Receptor-based models with diffusion-driven instability for pattern formation in hydra. Zbl 1041.92002
Marciniak-Czochra, Anna
2003
Three-scale convergence for processes in heterogeneous media. Zbl 1252.35038
Trucu, D.; Chaplain, M. A. J.; Marciniak-Czochra, A.
2012
Dynamical spike solutions in a nonlocal model of pattern formation. Zbl 1391.35289
Marciniak-Czochra, Anna; Härting, Steffen; Karch, Grzegorz; Suzuki, Kanako
2018
Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization. Zbl 1423.35306
Carraro, Thomas; Goll, Christian; Marciniak-Czochra, Anna; Mikelić, Andro
2015
Logistic equations in tumour growth modelling. Zbl 1035.92017
Foryś, Urszula; Marciniak-Czochra, Anna
2003
Pattern formation in a diffusion-ODE model with hysteresis. Zbl 1363.35261
Marciniak-Czochra, Anna; Nakayama, Madoka; Takagi, Izumi
2015
Mass concentration in a nonlocal model of clonal selection. Zbl 1360.92035
Busse, J.-E.; Gwiazda, P.; Marciniak-Czochra, A.
2016
Analysis of particle methods for structured population models with nonlocal boundary term in the framework of bounded Lipschitz distance. Zbl 1314.92128
Gwiazda, Piotr; Jabłoński, Jędrzej; Marciniak-Czochra, Anna; Ulikowska, Agnieszka
2014
Stable patterns with jump discontinuity in systems with Turing instability and hysteresis. Zbl 1357.35043
Takagi, Izumi; Marciniak-Czochra, Anna; Härting, Steffen
2017
Dynamics of growth and signaling along linear and surface structures in very early tumors. Zbl 1111.92031
Marciniak-Czochra, Anna; Kimmel, Marek
2006
Reaction-difusion model of early carcinogenesis: the effects of influx of mutated cells. Zbl 1337.92047
Marciniak-Czochra, Anna; Kimmel, Marek
2008
Bifurcation analysis of a diffusion-ODE model with Turing instability and hysteresis. Zbl 1373.35043
Li, Ying; Marciniak-Czochra, Anna; Takagi, Izumi; Wu, Boying
2017
A rigorous derivation of the equations for the clamped Biot-Kirchhoff-Love poroelastic plate. Zbl 1309.35165
Marciniak-Czochra, Anna; Mikelić, Andro
2015
Models of discrete and continuous cell differentiation in the framework of transport equation. Zbl 1316.92022
Gwiazda, Piotr; Jamróz, Grzegorz; Marciniak-Czochra, Anna
2012
Global dynamics of two-compartment models for cell production systems with regulatory mechanisms. Zbl 1308.92039
Getto, Philipp; Marciniak-Czochra, Anna; Nakata, Yukihiko; Vivanco, Maria dM.
2013
Receptor-based models with hysteresis for pattern formation in hydra. Zbl 1086.92041
Marciniak-Czochra, Anna
2006
Spike patterns in a reaction-diffusion ODE model with Turing instability. Zbl 1290.35276
Härting, Steffen; Marciniak-Czochra, Anna
2014
Renormalization group second-order approximation for singularly perturbed nonlinear ordinary differential equations. Zbl 1404.34071
Marciniak-Czochra, Anna; Mikelić, Andro; Stiehl, Thomas
2018
Modeling and computing of deformation dynamics of inhomogeneous biological surfaces. Zbl 1282.74015
Mercker, M.; Marciniak-Czochra, A.; Richter, T.; Hartmann, D.
2013
A model for stem cell population dynamics with regulated maturation delay. Zbl 1306.92041
Alarcon, Tomas; Getto, Philipp; Marciniak-Czochra, Anna; Vivanco, Maria dM
2011
Diffusion-driven blowup of nonnegative solutions to reaction-diffusion-ODE systems. Zbl 1374.35222
Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako; Zienkiewicz, Jacek
2016
Measures under the flat norm as ordered normed vector space. Zbl 1390.28004
Gwiazda, Piotr; Marciniak-Czochra, Anna; Thieme, Horst R.
2018
Mathematical model of chimeric anti-gene receptor (CAR) T cell therapy with presence of cytokine. Zbl 1406.92318
2018
A structured population model of clonal selection in acute leukemias with multiple maturation stages. Zbl 1423.35383
Lorenzi, Tommaso; Marciniak-Czochra, Anna; Stiehl, Thomas
2019
Oscillations in a white blood cell production model with multiple differentiation stages. Zbl 1440.34047
Knauer, Franziska; Stiehl, Thomas; Marciniak-Czochra, Anna
2020
Transcriptional stochasticity in gene expression. Zbl 1445.92113
Lipniacki, Tomasz; Paszek, Pawel; Marciniak-Czochra, Anna; Brasier, Allan R.; Kimmel, Marek
2006
Stability analysis of multi-compartment models for cell production systems. Zbl 1447.92126
Nakata, Yukihiko; Getto, Philipp; Marciniak-Czochra, Anna; Alarcón, Tomás
2012
Hysteresis-driven pattern formation in reaction-diffusion-ODE systems. Zbl 1439.35271
Köthe, Alexandra; Marciniak-Czochra, Anna; Takagi, Izumi
2020
Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy. Zbl 1467.92101
Stace, Rebecca E. A.; Stiehl, Thomas; Chaplain, Mark A. J.; Marciniak-Czochra, Anna; Lorenzi, Tommaso
2020
Strong two-scale convergence and corrector result for a receptor-based model of intercellular communication. Zbl 1305.92031
Marciniak-Czochra, Anna
2012
Mathematical model of tumor invasion along linear or tubular structures. Zbl 1080.92046
Marciniak-Czochra, A.; Kimmel, M.
2005
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
2012
Reaction-diffusion-ODE models of pattern formation. Zbl 1328.35100
Marciniak-Czochra, Anna
2015
Modelling and analysis of dynamics of viral infection of cells and of interferon resistance. Zbl 1137.92019
Getto, Ph.; Kimmel, M.; Marciniak-Czochra, A.
2008
Correction to: “Measures under the flat norm as ordered normed vector space”. Zbl 1390.28005
Gwiazda, Piotr; Marciniak-Czochra, Anna; Thieme, Horst R.
2018
Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor. Zbl 1429.35130
Li, Ying; Marciniak-Czochra, Anna; Takagi, Izumi; Wu, Boying
2019
Reaction-diffusion models of pattern formation in developmental biology. Zbl 1461.92012
Marciniak-Czochra, Anna
2013
Mathematical models of hematopoietic reconstitution after stem cell transplantation. Zbl 1303.92027
Marciniak-Czochra, Anna; Stiehl, Thomas
2013
Developmental models with cell surface receptor densities defining morphological position. Zbl 1104.92304
Marciniak-Czochra, Anna
2004
Shadow limit using renormalization group method and center manifold method. Zbl 1376.37116
Marciniak-Czochra, Anna; Mikelić, Andro
2017
The escalator boxcar train method for a system of age-structured equations. Zbl 1349.92121
Gwiazda, Piotr; Kropielnicka, Karolina; Marciniak-Czochra, Anna
2016
Spaces of measures and their applications to structured population models. Zbl 07388049
Düll, Christian; Gwiazda, Piotr; Marciniak-Czochra, Anna; Skrzeczkowski, Jakub
2022
Shadow limit for parabolic-ode systems through a cut-off argument. Zbl 1387.35026
Marciniak-Czochra, Anna; Mikelić, Andro
2017
The escalator boxcar train method for a system of age-structured equations in the space of measures. Zbl 1426.65150
Carrillo, José Antonio; Gwiazda, Piotr; Kropielnicka, Karolina; Marciniak-Czochra, Anna K.
2019
Spaces of measures and their applications to structured population models. Zbl 07388049
Düll, Christian; Gwiazda, Piotr; Marciniak-Czochra, Anna; Skrzeczkowski, Jakub
2022
Oscillations in a white blood cell production model with multiple differentiation stages. Zbl 1440.34047
Knauer, Franziska; Stiehl, Thomas; Marciniak-Czochra, Anna
2020
Hysteresis-driven pattern formation in reaction-diffusion-ODE systems. Zbl 1439.35271
Köthe, Alexandra; Marciniak-Czochra, Anna; Takagi, Izumi
2020
Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy. Zbl 1467.92101
Stace, Rebecca E. A.; Stiehl, Thomas; Chaplain, Mark A. J.; Marciniak-Czochra, Anna; Lorenzi, Tommaso
2020
A structured population model of clonal selection in acute leukemias with multiple maturation stages. Zbl 1423.35383
Lorenzi, Tommaso; Marciniak-Czochra, Anna; Stiehl, Thomas
2019
Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor. Zbl 1429.35130
Li, Ying; Marciniak-Czochra, Anna; Takagi, Izumi; Wu, Boying
2019
The escalator boxcar train method for a system of age-structured equations in the space of measures. Zbl 1426.65150
Carrillo, José Antonio; Gwiazda, Piotr; Kropielnicka, Karolina; Marciniak-Czochra, Anna K.
2019
Dynamical spike solutions in a nonlocal model of pattern formation. Zbl 1391.35289
Marciniak-Czochra, Anna; Härting, Steffen; Karch, Grzegorz; Suzuki, Kanako
2018
Renormalization group second-order approximation for singularly perturbed nonlinear ordinary differential equations. Zbl 1404.34071
Marciniak-Czochra, Anna; Mikelić, Andro; Stiehl, Thomas
2018
Measures under the flat norm as ordered normed vector space. Zbl 1390.28004
Gwiazda, Piotr; Marciniak-Czochra, Anna; Thieme, Horst R.
2018
Mathematical model of chimeric anti-gene receptor (CAR) T cell therapy with presence of cytokine. Zbl 1406.92318
2018
Correction to: “Measures under the flat norm as ordered normed vector space”. Zbl 1390.28005
Gwiazda, Piotr; Marciniak-Czochra, Anna; Thieme, Horst R.
2018
Instability of Turing patterns in reaction-diffusion-ODE systems. Zbl 1356.35043
Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako
2017
Stable patterns with jump discontinuity in systems with Turing instability and hysteresis. Zbl 1357.35043
Takagi, Izumi; Marciniak-Czochra, Anna; Härting, Steffen
2017
Bifurcation analysis of a diffusion-ODE model with Turing instability and hysteresis. Zbl 1373.35043
Li, Ying; Marciniak-Czochra, Anna; Takagi, Izumi; Wu, Boying
2017
Shadow limit using renormalization group method and center manifold method. Zbl 1376.37116
Marciniak-Czochra, Anna; Mikelić, Andro
2017
Shadow limit for parabolic-ode systems through a cut-off argument. Zbl 1387.35026
Marciniak-Czochra, Anna; Mikelić, Andro
2017
Mass concentration in a nonlocal model of clonal selection. Zbl 1360.92035
Busse, J.-E.; Gwiazda, P.; Marciniak-Czochra, A.
2016
Diffusion-driven blowup of nonnegative solutions to reaction-diffusion-ODE systems. Zbl 1374.35222
Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako; Zienkiewicz, Jacek
2016
The escalator boxcar train method for a system of age-structured equations. Zbl 1349.92121
Gwiazda, Piotr; Kropielnicka, Karolina; Marciniak-Czochra, Anna
2016
Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization. Zbl 1423.35306
Carraro, Thomas; Goll, Christian; Marciniak-Czochra, Anna; Mikelić, Andro
2015
Pattern formation in a diffusion-ODE model with hysteresis. Zbl 1363.35261
Marciniak-Czochra, Anna; Nakayama, Madoka; Takagi, Izumi
2015
A rigorous derivation of the equations for the clamped Biot-Kirchhoff-Love poroelastic plate. Zbl 1309.35165
Marciniak-Czochra, Anna; Mikelić, Andro
2015
Reaction-diffusion-ODE models of pattern formation. Zbl 1328.35100
Marciniak-Czochra, Anna
2015
Analysis of particle methods for structured population models with nonlocal boundary term in the framework of bounded Lipschitz distance. Zbl 1314.92128
Gwiazda, Piotr; Jabłoński, Jędrzej; Marciniak-Czochra, Anna; Ulikowska, Agnieszka
2014
Spike patterns in a reaction-diffusion ODE model with Turing instability. Zbl 1290.35276
Härting, Steffen; Marciniak-Czochra, Anna
2014
Pressure jump interface law for the Stokes-Darcy coupling: confirmation by direct numerical simulations. Zbl 1294.76233
Carraro, T.; Goll, C.; Marciniak-Czochra, A.; Mikelić, A.
2013
Unstable patterns in reaction-diffusion model of early carcinogenesis. Zbl 1295.35072
Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako
2013
Global dynamics of two-compartment models for cell production systems with regulatory mechanisms. Zbl 1308.92039
Getto, Philipp; Marciniak-Czochra, Anna; Nakata, Yukihiko; Vivanco, Maria dM.
2013
Modeling and computing of deformation dynamics of inhomogeneous biological surfaces. Zbl 1282.74015
Mercker, M.; Marciniak-Czochra, A.; Richter, T.; Hartmann, D.
2013
Reaction-diffusion models of pattern formation in developmental biology. Zbl 1461.92012
Marciniak-Czochra, Anna
2013
Mathematical models of hematopoietic reconstitution after stem cell transplantation. Zbl 1303.92027
Marciniak-Czochra, Anna; Stiehl, Thomas
2013
Mathematical modeling of leukemogenesis and cancer stem cell dynamics. Zbl 1241.92045
Stiehl, T.; Marciniak-Czochra, A.
2012
Effective pressure interface law for transport phenomena between an unconfined fluid and a porous medium using homogenization. Zbl 1255.35030
Marciniak-Czochra, Anna; Mikelić, Andro
2012
Three-scale convergence for processes in heterogeneous media. Zbl 1252.35038
Trucu, D.; Chaplain, M. A. J.; Marciniak-Czochra, A.
2012
Models of discrete and continuous cell differentiation in the framework of transport equation. Zbl 1316.92022
Gwiazda, Piotr; Jamróz, Grzegorz; Marciniak-Czochra, Anna
2012
Stability analysis of multi-compartment models for cell production systems. Zbl 1447.92126
Nakata, Yukihiko; Getto, Philipp; Marciniak-Czochra, Anna; Alarcón, Tomás
2012
Strong two-scale convergence and corrector result for a receptor-based model of intercellular communication. Zbl 1305.92031
Marciniak-Czochra, Anna
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
2012
Characterization of stem cells using mathematical models of multistage cell lineages. Zbl 1219.34068
Stiehl, Thomas; Marciniak-Czochra, Anna
2011
A structured population model of cell differentiation. Zbl 1235.35030
Doumic, Marie; Marciniak-Czochra, Anna; Perthame, Benoît; Zubelli, Jorge P.
2011
A model for stem cell population dynamics with regulated maturation delay. Zbl 1306.92041
Alarcon, Tomas; Getto, Philipp; Marciniak-Czochra, Anna; Vivanco, Maria dM
2011
Boundedness of solutions of a haptotaxis model. Zbl 1194.35043
Marciniak-Czochra, Anna; Ptashnyk, Mariya
2010
A nonlinear structured population model: Lipschitz continuity of measure-valued solutions with respect to model ingredients. Zbl 1207.35205
Gwiazda, Piotr; Lorenz, Thomas; Marciniak-Czochra, Anna
2010
Structured population equations in metric spaces. Zbl 1204.28007
Gwiazda, Piotr; Marciniak-Czochra, Anna
2010
Mathematical modelling of the influence of heat shock proteins on cancer invasion of tissue. Zbl 1311.92042
Szymańska, Zuzanna; Urbański, Jakub; Marciniak-Czochra, Anna
2009
Derivation of a macroscopic receptor-based model using homogenization techniques. Zbl 1178.35050
Marciniak-Czochra, Anna; Ptashnyk, Mariya
2008
Reaction-difusion model of early carcinogenesis: the effects of influx of mutated cells. Zbl 1337.92047
Marciniak-Czochra, Anna; Kimmel, Marek
2008
Modelling and analysis of dynamics of viral infection of cells and of interferon resistance. Zbl 1137.92019
Getto, Ph.; Kimmel, M.; Marciniak-Czochra, A.
2008
Modelling of early lung cancer progression: influence of growth factor production and cooperation between partially transformed cells. Zbl 1135.92019
Marciniak-Czochra, Anna; Kimmel, Marek
2007
Dynamics of growth and signaling along linear and surface structures in very early tumors. Zbl 1111.92031
Marciniak-Czochra, Anna; Kimmel, Marek
2006
Receptor-based models with hysteresis for pattern formation in hydra. Zbl 1086.92041
Marciniak-Czochra, Anna
2006
Transcriptional stochasticity in gene expression. Zbl 1445.92113
Lipniacki, Tomasz; Paszek, Pawel; Marciniak-Czochra, Anna; Brasier, Allan R.; Kimmel, Marek
2006
Mathematical model of tumor invasion along linear or tubular structures. Zbl 1080.92046
Marciniak-Czochra, A.; Kimmel, M.
2005
Developmental models with cell surface receptor densities defining morphological position. Zbl 1104.92304
Marciniak-Czochra, Anna
2004
Receptor-based models with diffusion-driven instability for pattern formation in hydra. Zbl 1041.92002
Marciniak-Czochra, Anna
2003
Logistic equations in tumour growth modelling. Zbl 1035.92017
Foryś, Urszula; Marciniak-Czochra, Anna
2003
all top 5

### Cited by 618 Authors

 33 Marciniak-Czochra, Anna K. 12 Gwiazda, Piotr 10 Mikelić, Andro 10 Ptashnyk, Mariya 9 Wang, Yifu 8 Bellomo, Nicola 7 Chaplain, Mark A. J. 7 Komarova, Natalia L. 7 Lorenzi, Tommaso 7 Muntean, Adrian 7 Winkler, Michael 7 Zheng, Jiashan 6 Ackleh, Azmy S. 6 Carrillo de la Plata, José Antonio 6 Cui, Junzhi 6 Dong, Hao 6 Karch, Grzegorz 6 Surulescu, Christina 6 Thieme, Horst R. 5 Carraro, Thomas 5 Dai, Feng 5 Eggenweiler, Elissa 5 Getto, Philipp 5 Kimmel, Marek 5 Maini, Philip Kumar 5 Rybak, Iryna V. 5 Saintier, Nicolas 5 Sfakianakis, Nikolaos I. 5 Suzuki, Kanako 5 Takagi, Izumi 5 Yang, Zhiqiang 5 Zhang, Conghui 4 Andersen, Morten 4 Bellouquid, Abdelghani 4 Bobrowski, Adam 4 Colombo, Rinaldo M. 4 Gabriel, Pierre 4 Garcke, Harald 4 Gyllenberg, Mats 4 Kolbe, Niklas 4 Lorenz, Thomas 4 Ottesen, Johnny Tom 4 Stiehl, Thomas-Peter 4 Tao, Youshan 4 Trucu, Dumitru 4 Ulikowska, Agnieszka 4 Wodarz, Dominik 4 Yang, Zihao 3 Bagheri, Shervin 3 Banasiak, Jacek 3 Barrett, John William 3 Bendahmane, Mostafa 3 Diekmann, Odo 3 Fatima, Tasnim 3 Goll, Christian Reinhold 3 Guan, Xiaofei 3 Härting, Steffen 3 Hasselbalch, Hans C. 3 Kjær, Lasse 3 Lācis, Uǧis 3 Marušić-Paloka, Eduard 3 Nakata, Yukihiko 3 Neuss-Radu, Maria 3 Nürnberg, Robert 3 Pang, Peter Y. H. 3 Penta, Raimondo 3 Pérez-García, Víctor Manuel 3 Ramírez-Torres, Ariel 3 Rodríguez-Ramos, Reinaldo 3 Röger, Matthias 3 Scarabel, Francesca 3 Skov, Vibe 3 Skrzeczkowski, Jakub 3 Soler, Juan S. 3 Sun, Yi 3 Szymańska, Zuzanna 3 Tambača, Josip 3 Venkataraman, Chandrasekhar 3 Webster, Justin T. 3 Xiang, Tian 3 Zampogna, Giuseppe A. 2 Al-Smadi, Mohammed H. 2 Bader, Fakhrielddine 2 Bangsgaard, Katrine O. 2 Bociu, Lorena 2 Breda, Dimitri 2 Busse, Jan-Erik 2 Byrne, Helen Mary 2 Camilli, Fabio 2 Chakib, Abdelkrim 2 Chapman, Stephen Jonathan 2 Chouhad, Nadia 2 Chulián, Salvador 2 Clairambault, Jean 2 Cruz-González, Oscar L. 2 Cuadrado, Sílvia 2 Cygan, Szymon 2 Dalwadi, Mohit P. 2 de Araujo, Anderson Luis Albuquerque 2 de Magalhães, Paulo M. Dias ...and 518 more Authors
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### Cited in 102 Serials

 28 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 26 Journal of Theoretical Biology 19 Journal of Differential Equations 18 Journal of Mathematical Biology 16 Journal of Mathematical Analysis and Applications 12 Journal of Fluid Mechanics 11 Discrete and Continuous Dynamical Systems. Series B 9 Computers & Mathematics with Applications 9 Mathematical Biosciences 9 SIAM Journal on Mathematical Analysis 9 Nonlinear Analysis. Real World Applications 8 Bulletin of Mathematical Biology 8 Mathematical Biosciences and Engineering 7 Discrete and Continuous Dynamical Systems 6 Applicable Analysis 6 Acta Applicandae Mathematicae 6 Mathematical and Computer Modelling 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Mathematical Methods in the Applied Sciences 5 Nonlinearity 5 Applied Mathematics Letters 5 Mathematics and Mechanics of Solids 5 Multiscale Modeling & Simulation 5 Networks and Heterogeneous Media 4 Computer Methods in Applied Mechanics and Engineering 4 Chaos, Solitons and Fractals 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Applied Mathematics 4 Vietnam Journal of Mathematics 4 Mathematical Modelling of Natural Phenomena 4 Discrete and Continuous Dynamical Systems. Series S 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Physica D 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Computational and Applied Mathematics 2 Archive for Rational Mechanics and Analysis 2 Journal of Computational Physics 2 Journal of Engineering Mathematics 2 Physica A 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematical Modelling 2 NoDEA. Nonlinear Differential Equations and Applications 2 Chaos 2 European Journal of Mechanics. A. Solids 2 Communications in Nonlinear Science and Numerical Simulation 2 Computational Geosciences 2 Journal of Evolution Equations 2 Communications on Pure and Applied Analysis 2 Communications in Computational Physics 2 Kinetic and Related Models 1 International Journal of Control 1 International Journal of Engineering Science 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Mathematics of Computation 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Applied Mathematics and Optimization 1 Mathematische Annalen 1 Ricerche di Matematica 1 Tôhoku Mathematical Journal. Second Series 1 Journal of Scientific Computing 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 Journal of the Egyptian Mathematical Society 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Advances in Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Positivity 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Fractional Calculus & Applied Analysis 1 Discrete Dynamics in Nature and Society 1 Journal of Biological Systems 1 Annales Mathematicae Silesianae 1 Applied Mathematics E-Notes 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Biological Dynamics 1 Advances in Applied Mathematics and Mechanics 1 Symmetry 1 Games 1 Bulletin of Mathematical Sciences 1 Numerical Algebra, Control and Optimization 1 SIAM/ASA Journal on Uncertainty Quantification 1 International Journal of Applied and Computational Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SMAI Journal of Computational Mathematics ...and 2 more Serials
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### Cited in 30 Fields

 244 Biology and other natural sciences (92-XX) 220 Partial differential equations (35-XX) 52 Numerical analysis (65-XX) 50 Fluid mechanics (76-XX) 47 Ordinary differential equations (34-XX) 37 Mechanics of deformable solids (74-XX) 15 Probability theory and stochastic processes (60-XX) 14 Integral equations (45-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Dynamical systems and ergodic theory (37-XX) 11 Operator theory (47-XX) 11 Systems theory; control (93-XX) 9 Measure and integration (28-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Real functions (26-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX)