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Erban, Radek

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Author ID: erban.radek Recent zbMATH articles by "Erban, Radek"
Published as: Erban, Radek; Erban, R.
Documents Indexed: 44 Publications since 2001, including 1 Book

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 416 times in 269 Documents Cited by Year
From individual to collective behavior in bacterial chemotaxis. Zbl 1073.35116
Erban, Radek; Othmer, Hans G.
82
2004
From signal transduction to spatial pattern formation in E. coli: A paradigm for multiscale modeling in biology. Zbl 1073.35205
Erban, Radek; Othmer, Hans G.
44
2005
A Cucker-Smale model with noise and delay. Zbl 1345.60063
Erban, Radek; Haškovec, Jan; Sun, Yongzheng
43
2016
Taxis equations for amoeboid cells. Zbl 1148.92003
Erban, Radek; Othmer, Hans G.
22
2007
Travelling waves in hyperbolic chemotaxis equations. Zbl 1220.92010
Xue, Chuan; Hwang, Hyung Ju; Painter, Kevin J.; Erban, Radek
18
2011
Analysis of Brownian dynamics simulations of reversible bimolecular reactions. Zbl 1229.80023
Lipková, Jana; Zygalakis, Konstantinos C.; Chapman, S. Jonathan; Erban, Radek
17
2011
Multiscale reaction-diffusion algorithms: PDE-assisted Brownian dynamics. Zbl 1273.35328
Franz, Benjamin; Flegg, Mark B.; Chapman, S. Jonathan; Erban, Radek
15
2013
Hybrid framework for the simulation of stochastic chemical kinetics. Zbl 1373.92041
Duncan, Andrew; Erban, Radek; Zygalakis, Konstantinos
13
2016
Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model. Zbl 1200.80010
Erban, Radek; Chapman, S. Jonathan; Kevrekidis, Ioannis G.; Vejchodský, Tomáš
12
2009
An equation-free computational approach for extracting population-level behavior from individual-based models of biological dispersal. Zbl 1094.35127
Erban, Radek; Kevrekidis, Ioannis G.; Othmer, Hans G.
11
2006
From molecular dynamics to Brownian dynamics. Zbl 1371.60144
Erban, Radek
10
2014
From microscopic to macroscopic descriptions of cell migration on growing domains. Zbl 1190.92006
Baker, Ruth E.; Yates, Christian A.; Erban, Radek
10
2010
From individual to collective behaviour of coupled velocity jump processes: a locust example. Zbl 1397.60077
Erban, Radek; Haskovec, Jan
10
2012
On the static-limit solutions to the Navier-Stokes equations of compressible flow. Zbl 1007.35054
Erban, Radek
9
2001
On the existence of solutions to the Navier-Stokes equations of a two-dimensional compressible flow. Zbl 1061.76073
Erban, Radek
9
2003
Travelling waves in hybrid chemotaxis models. Zbl 1297.92014
Franz, Benjamin; Xue, Chuan; Painter, Kevin J.; Erban, Radek
7
2014
Multiscale stochastic reaction-diffusion modeling: application to actin dynamics in filopodia. Zbl 1297.92033
Erban, Radek; Flegg, Mark B.; Papoian, Garegin A.
7
2014
Global existence results for complex hyperbolic models of bacterial chemotaxis. Zbl 1111.35094
Erban, Radek; Hwang, Hyung Ju
7
2006
Projective and coarse projective integration for problems with continuous symmetries. Zbl 1122.65091
Kavousanakis, M. E.; Erban, R.; Boudouvis, A. G.; Gear, C. W.; Kevrekidis, I. G.
7
2007
Coupling all-atom molecular dynamics simulations of ions in water with Brownian dynamics. Zbl 1371.82075
Erban, Radek
6
2016
Mathematical modelling of turning delays in swarm robotics. Zbl 1327.35378
Taylor-King, Jake P.; Franz, Benjamin; Yates, Christian A.; Erban, Radek
6
2015
Error analysis of diffusion approximation methods for multiscale systems in reaction kinetics. Zbl 1457.80011
Cotter, Simon L.; Erban, Radek
6
2016
Convergence of methods for coupling of microscopic and mesoscopic reaction-diffusion simulations. Zbl 1352.65023
Flegg, Mark B.; Hellander, Stefan; Erban, Radek
6
2015
Analysis of the two-regime method on square meshes. Zbl 1352.60118
Flegg, Mark B.; Chapman, S. Jonathan; Zheng, Likun; Erban, Radek
5
2014
Hybrid modelling of individual movement and collective behaviour. Zbl 1347.92111
Franz, Benjamin; Erban, Radek
4
2013
Particle-based multiscale modeling of calcium puff dynamics. Zbl 1352.65022
Dobramysl, Ulrich; Rüdiger, Sten; Erban, Radek
4
2016
Stochastic Turing patterns: analysis of compartment-based approaches. Zbl 1329.92147
Cao, Yang; Erban, Radek
4
2014
ADM-CLE approach for detecting slow variables in continuous time Markov chains and dynamic data. Zbl 1382.65029
Cucuringu, Mihai; Erban, Radek
4
2017
Dynamics of polydisperse irreversible adsorption: A pharmacological example. Zbl 1114.92037
Erban, Radek; Chapman, S. Jonathan; Fisher, Kerry D.; Kevrekidis, Ioannis G.; Seymour, Leonard W.
4
2007
Adaptive finite element method assisted by stochastic simulation of chemical systems. Zbl 1264.65158
Cotter, Simon L.; Vejchodský, Tomáš; Erban, Radek
4
2013
Refining self-propelled particle models for collective behaviour. Zbl 1215.92072
Yates, Christian A.; Baker, Ruth E.; Erban, Radek; Maini, Philip K.
3
2010
Reactive boundary conditions as limits of interaction potentials for Brownian and Langevin dynamics. Zbl 1337.60118
Chapman, S. Jonathan; Erban, Radek; Isaacson, Samuel A.
2
2016
Coarse-graining molecular dynamics: stochastic models with non-Gaussian force distributions. Zbl 1434.82064
Erban, Radek
1
2020
Test models for statistical inference: two-dimensional reaction systems displaying limit cycle bifurcations and bistability. Zbl 1401.92095
Plesa, Tomislav; Vejchodský, Tomáš; Erban, Radek
1
2017
From Brownian dynamics to Markov chain: an ion channel example. Zbl 1308.92026
Chen, Wan; Erban, Radek; Chapman, S. Jonathan
1
2014
Chemical reaction systems with a homoclinic bifurcation: an inverse problem. Zbl 1372.92127
Plesa, Tomislav; Vejchodský, Tomáš; Erban, Radek
1
2016
Noise-induced mixing and multimodality in reaction networks. Zbl 1425.92090
Plesa, Tomislav; Erban, Radek; Othmer, Hans G.
1
2019
Coarse-graining molecular dynamics: stochastic models with non-Gaussian force distributions. Zbl 1434.82064
Erban, Radek
1
2020
Noise-induced mixing and multimodality in reaction networks. Zbl 1425.92090
Plesa, Tomislav; Erban, Radek; Othmer, Hans G.
1
2019
ADM-CLE approach for detecting slow variables in continuous time Markov chains and dynamic data. Zbl 1382.65029
Cucuringu, Mihai; Erban, Radek
4
2017
Test models for statistical inference: two-dimensional reaction systems displaying limit cycle bifurcations and bistability. Zbl 1401.92095
Plesa, Tomislav; Vejchodský, Tomáš; Erban, Radek
1
2017
A Cucker-Smale model with noise and delay. Zbl 1345.60063
Erban, Radek; Haškovec, Jan; Sun, Yongzheng
43
2016
Hybrid framework for the simulation of stochastic chemical kinetics. Zbl 1373.92041
Duncan, Andrew; Erban, Radek; Zygalakis, Konstantinos
13
2016
Coupling all-atom molecular dynamics simulations of ions in water with Brownian dynamics. Zbl 1371.82075
Erban, Radek
6
2016
Error analysis of diffusion approximation methods for multiscale systems in reaction kinetics. Zbl 1457.80011
Cotter, Simon L.; Erban, Radek
6
2016
Particle-based multiscale modeling of calcium puff dynamics. Zbl 1352.65022
Dobramysl, Ulrich; Rüdiger, Sten; Erban, Radek
4
2016
Reactive boundary conditions as limits of interaction potentials for Brownian and Langevin dynamics. Zbl 1337.60118
Chapman, S. Jonathan; Erban, Radek; Isaacson, Samuel A.
2
2016
Chemical reaction systems with a homoclinic bifurcation: an inverse problem. Zbl 1372.92127
Plesa, Tomislav; Vejchodský, Tomáš; Erban, Radek
1
2016
Mathematical modelling of turning delays in swarm robotics. Zbl 1327.35378
Taylor-King, Jake P.; Franz, Benjamin; Yates, Christian A.; Erban, Radek
6
2015
Convergence of methods for coupling of microscopic and mesoscopic reaction-diffusion simulations. Zbl 1352.65023
Flegg, Mark B.; Hellander, Stefan; Erban, Radek
6
2015
From molecular dynamics to Brownian dynamics. Zbl 1371.60144
Erban, Radek
10
2014
Travelling waves in hybrid chemotaxis models. Zbl 1297.92014
Franz, Benjamin; Xue, Chuan; Painter, Kevin J.; Erban, Radek
7
2014
Multiscale stochastic reaction-diffusion modeling: application to actin dynamics in filopodia. Zbl 1297.92033
Erban, Radek; Flegg, Mark B.; Papoian, Garegin A.
7
2014
Analysis of the two-regime method on square meshes. Zbl 1352.60118
Flegg, Mark B.; Chapman, S. Jonathan; Zheng, Likun; Erban, Radek
5
2014
Stochastic Turing patterns: analysis of compartment-based approaches. Zbl 1329.92147
Cao, Yang; Erban, Radek
4
2014
From Brownian dynamics to Markov chain: an ion channel example. Zbl 1308.92026
Chen, Wan; Erban, Radek; Chapman, S. Jonathan
1
2014
Multiscale reaction-diffusion algorithms: PDE-assisted Brownian dynamics. Zbl 1273.35328
Franz, Benjamin; Flegg, Mark B.; Chapman, S. Jonathan; Erban, Radek
15
2013
Hybrid modelling of individual movement and collective behaviour. Zbl 1347.92111
Franz, Benjamin; Erban, Radek
4
2013
Adaptive finite element method assisted by stochastic simulation of chemical systems. Zbl 1264.65158
Cotter, Simon L.; Vejchodský, Tomáš; Erban, Radek
4
2013
From individual to collective behaviour of coupled velocity jump processes: a locust example. Zbl 1397.60077
Erban, Radek; Haskovec, Jan
10
2012
Travelling waves in hyperbolic chemotaxis equations. Zbl 1220.92010
Xue, Chuan; Hwang, Hyung Ju; Painter, Kevin J.; Erban, Radek
18
2011
Analysis of Brownian dynamics simulations of reversible bimolecular reactions. Zbl 1229.80023
Lipková, Jana; Zygalakis, Konstantinos C.; Chapman, S. Jonathan; Erban, Radek
17
2011
From microscopic to macroscopic descriptions of cell migration on growing domains. Zbl 1190.92006
Baker, Ruth E.; Yates, Christian A.; Erban, Radek
10
2010
Refining self-propelled particle models for collective behaviour. Zbl 1215.92072
Yates, Christian A.; Baker, Ruth E.; Erban, Radek; Maini, Philip K.
3
2010
Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model. Zbl 1200.80010
Erban, Radek; Chapman, S. Jonathan; Kevrekidis, Ioannis G.; Vejchodský, Tomáš
12
2009
Taxis equations for amoeboid cells. Zbl 1148.92003
Erban, Radek; Othmer, Hans G.
22
2007
Projective and coarse projective integration for problems with continuous symmetries. Zbl 1122.65091
Kavousanakis, M. E.; Erban, R.; Boudouvis, A. G.; Gear, C. W.; Kevrekidis, I. G.
7
2007
Dynamics of polydisperse irreversible adsorption: A pharmacological example. Zbl 1114.92037
Erban, Radek; Chapman, S. Jonathan; Fisher, Kerry D.; Kevrekidis, Ioannis G.; Seymour, Leonard W.
4
2007
An equation-free computational approach for extracting population-level behavior from individual-based models of biological dispersal. Zbl 1094.35127
Erban, Radek; Kevrekidis, Ioannis G.; Othmer, Hans G.
11
2006
Global existence results for complex hyperbolic models of bacterial chemotaxis. Zbl 1111.35094
Erban, Radek; Hwang, Hyung Ju
7
2006
From signal transduction to spatial pattern formation in E. coli: A paradigm for multiscale modeling in biology. Zbl 1073.35205
Erban, Radek; Othmer, Hans G.
44
2005
From individual to collective behavior in bacterial chemotaxis. Zbl 1073.35116
Erban, Radek; Othmer, Hans G.
82
2004
On the existence of solutions to the Navier-Stokes equations of a two-dimensional compressible flow. Zbl 1061.76073
Erban, Radek
9
2003
On the static-limit solutions to the Navier-Stokes equations of compressible flow. Zbl 1007.35054
Erban, Radek
9
2001
all top 5

Cited by 440 Authors

24 Erban, Radek
11 Ha, Seung-Yeal
9 Perthame, Benoît
8 Calvez, Vincent
7 Kevrekidis, Ioannis George
7 Kim, Doheon
7 Maini, Philip Kumar
7 Xue, Chuan
6 Choi, Young-Pil
6 Dong, Jiu-Gang
6 Haskovec, Jan
6 Othmer, Hans G.
6 Sun, Yongzheng
5 Bellomo, Nicola
5 Isaacson, Samuel A.
5 Painter, Kevin J.
5 Surulescu, Christina
5 Tang, Min
4 Baker, Ruth Elizabeth
4 Bellouquid, Abdelghani
4 Byrne, Helen Mary
4 Cotter, Simon L.
4 Estrada-Rodriguez, Gissell
4 Flegg, Mark B.
4 Gimperlein, Heiko
4 Hillen, Thomas
4 Kim, Yong Jung
4 Vauchelet, Nicolas
4 Wang, Xiao
4 Yasuda, Shugo
4 Yates, Christian A.
3 Anderson, David Frederick
3 Bressloff, Paul C.
3 Chapman, Stephen Jonathan
3 Choi, Sun-Ho
3 Degond, Pierre
3 Delitala, Marcello
3 Hwang, Hyung Ju
3 Jung, Jinwook
3 Kang, Hye-Won
3 Liu, Maoxing
3 Liu, Weian
3 Liu, Yicheng
3 Malrieu, Florent
3 Markou, Ioannis
3 Plesa, Tomislav
3 Samaey, Giovanni
3 Straškraba, Ivan
3 Sun, Weiran
3 Tan, Zhong
3 Wang, Zhian
3 Winkler, Michael
2 Alarcón, Tomás
2 Amorim, Paulo
2 Armitage, Judith P.
2 Bianca, Carlo
2 Binder, Benjamin James
2 Bouin, Emeric
2 Bournaveas, Nikolaos
2 Brantingham, P. Jeffrey
2 Burger, Martin
2 Chen, Hua
2 Chen, Maoli
2 Eftimie, Raluca
2 Engwer, Christian
2 Fontbona, Joaquin
2 Franz, Benjamin
2 Gear, Charles William
2 Gosse, Laurent
2 Goudon, Thierry
2 Grima, Ramon
2 Guérin, Hélène
2 Guerrero, Pilar
2 Herrero, Miguel Ángel
2 Hu, Xianpeng
2 Jiang, Fei
2 Kavousanakis, Michail E.
2 Knappitsch, Markus
2 Lachowicz, Mirosław
2 Levien, Ethan
2 Li, Junfeng
2 Li, Wang
2 Li, Zhuchun
2 Liu, Zhisu
2 Locsei, J. T.
2 Lötstedt, Per
2 Martinson, W. Duncan
2 Mischler, Stéphane
2 Nadin, Grégoire
2 Nie, Fen
2 Novotný, Antonín
2 Penel, Patrick
2 Pignotti, Cristina
2 Pokorný, Milan
2 Porter, S. L.
2 Rousset, Mathias
2 Salem, Samir
2 Simpson, Matthew J.
2 Tchepmo Djomegni, Patrick Mimphis
2 Tindall, Marcus J.
...and 340 more Authors
all top 5

Cited in 87 Serials

25 Bulletin of Mathematical Biology
22 Journal of Mathematical Biology
19 Journal of Computational Physics
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Multiscale Modeling & Simulation
9 SIAM Journal on Applied Mathematics
8 Kinetic and Related Models
7 Journal of Theoretical Biology
6 Mathematical and Computer Modelling
5 Journal of Differential Equations
5 Physica D
4 Archive for Rational Mechanics and Analysis
4 Computers & Mathematics with Applications
3 Journal of Statistical Physics
3 Physica A
3 Applied Mathematics Letters
3 Applications of Mathematics
3 Applied Mathematical Modelling
3 Journal of Mathematical Chemistry
3 Mathematical Problems in Engineering
3 Nonlinear Analysis. Real World Applications
3 Discrete and Continuous Dynamical Systems. Series B
3 SIAM Journal on Applied Dynamical Systems
3 Mathematical Biosciences and Engineering
2 Journal of the Franklin Institute
2 Journal of Mathematical Analysis and Applications
2 Mathematical Biosciences
2 Mathematical Methods in the Applied Sciences
2 Nonlinearity
2 Journal of Computational and Applied Mathematics
2 Mathematics and Computers in Simulation
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Acta Mathematicae Applicatae Sinica. English Series
2 European Journal of Applied Mathematics
2 The Annals of Applied Probability
2 Communications in Partial Differential Equations
2 SIAM Review
2 SIAM Journal on Scientific Computing
2 NoDEA. Nonlinear Differential Equations and Applications
2 Discrete and Continuous Dynamical Systems
2 Wuhan University Journal of Natural Sciences (WUJNS)
2 Communications in Nonlinear Science and Numerical Simulation
2 Journal of Hyperbolic Differential Equations
2 Journal of Physics A: Mathematical and Theoretical
1 Advances in Applied Probability
1 Journal of Mathematical Physics
1 Physics Letters. A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Applied Mathematics and Computation
1 BIT
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Control and Optimization
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Revista Matemática Iberoamericana
1 Journal of Global Optimization
1 Numerical Algorithms
1 SIAM Journal on Mathematical Analysis
1 Stochastic Processes and their Applications
1 Journal of Dynamics and Differential Equations
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Physics of Fluids
1 Computational and Applied Mathematics
1 Journal of the Egyptian Mathematical Society
1 Fractals
1 Bulletin des Sciences Mathématiques
1 Computing and Visualization in Science
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Nonlinear Dynamics
1 Chaos
1 Acta Mathematica Sinica. English Series
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Communications on Pure and Applied Analysis
1 Advances in Difference Equations
1 Journal of Statistical Mechanics: Theory and Experiment
1 Oberwolfach Reports
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Networks and Heterogeneous Media
1 International Journal of Biomathematics
1 Science China. Mathematics
1 Journal of Agricultural, Biological, and Environmental Statistics
1 Statistics and Computing
1 SIAM/ASA Journal on Uncertainty Quantification
1 Research in the Mathematical Sciences

Citations by Year