Radek Erban
Radek Erban
Mathematical Institute, University of Oxford
Bestätigte E-Mail-Adresse bei maths.ox.ac.uk - Startseite
Zitiert von
Zitiert von
Stochastic modelling of reaction–diffusion processes: algorithms for bimolecular reactions
R Erban, SJ Chapman
Physical biology 6 (4), 046001, 2009
From individual to collective behavior in bacterial chemotaxis
R Erban, HG Othmer
SIAM Journal on Applied Mathematics 65 (2), 361-391, 2004
Inherent noise can facilitate coherence in collective swarm motion
CA Yates, R Erban, C Escudero, ID Couzin, J Buhl, IG Kevrekidis, ...
Proceedings of the National Academy of Sciences 106 (14), 5464-5469, 2009
A practical guide to stochastic simulations of reaction-diffusion processes
R Erban, J Chapman, P Maini
arXiv preprint arXiv:0704.1908, 2007
Reactive boundary conditions for stochastic simulations of reaction–diffusion processes
R Erban, SJ Chapman
Physical Biology 4 (1), 16, 2007
Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps
A Singer, R Erban, IG Kevrekidis, RR Coifman
Proceedings of the National Academy of Sciences 106 (38), 16090-16095, 2009
From signal transduction to spatial pattern formation in E. coli: a paradigm for multiscale modeling in biology
R Erban, HG Othmer
Multiscale Modeling & Simulation 3 (2), 362-394, 2005
Gene regulatory networks: A coarse-grained, equation-free approach to multiscale computation
R Erban, IG Kevrekidis, D Adalsteinsson, TC Elston
The Journal of chemical physics 124 (8), 084106, 2006
The two-regime method for optimizing stochastic reaction–diffusion simulations
MB Flegg, SJ Chapman, R Erban
Journal of the Royal Society Interface 9 (70), 859-868, 2012
From microscopic to macroscopic descriptions of cell migration on growing domains
RE Baker, CA Yates, R Erban
Bulletin of mathematical biology 72 (3), 719-762, 2010
A cucker--smale model with noise and delay
R Erban, J Haskovec, Y Sun
SIAM Journal on Applied Mathematics 76 (4), 1535-1557, 2016
Taxis equations for amoeboid cells
R Erban, HG Othmer
Journal of mathematical biology 54 (6), 847-885, 2007
Analysis of Brownian dynamics simulations of reversible bimolecular reactions
J Lipková, KC Zygalakis, SJ Chapman, R Erban
SIAM Journal on Applied Mathematics 71 (3), 714-730, 2011
Multiscale reaction-diffusion algorithms: PDE-assisted Brownian dynamics
B Franz, MB Flegg, SJ Chapman, R Erban
SIAM Journal on Applied Mathematics 73 (3), 1224-1247, 2013
Multistability in planar liquid crystal wells
C Luo, A Majumdar, R Erban
Physical Review E 85 (6), 061702, 2012
Variable-free exploration of stochastic models: a gene regulatory network example
R Erban, TA Frewen, X Wang, TC Elston, R Coifman, B Nadler, ...
The Journal of chemical physics 126 (15), 04B618, 2007
An equation-free computational approach for extracting population-level behavior from individual-based models of biological dispersal
R Erban, IG Kevrekidis, HG Othmer
Physica D: Nonlinear Phenomena 215 (1), 1-24, 2006
Noise-induced multistability in chemical systems: Discrete versus continuum modeling
A Duncan, S Liao, T Vejchodský, R Erban, R Grima
Physical Review E 91 (4), 042111, 2015
Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model
R Erban, SJ Chapman, IG Kevrekidis, T Vejchodský
SIAM Journal on Applied Mathematics 70 (3), 984-1016, 2009
A constrained approach to multiscale stochastic simulation of chemically reacting systems
SL Cotter, KC Zygalakis, IG Kevrekidis, R Erban
The Journal of chemical physics 135 (9), 09B601, 2011
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