| Stochastic modelling of reaction–diffusion processes: algorithms for bimolecular reactions R Erban, SJ Chapman Physical biology 6 (4), 046001, 2009 | 343 | 2009 |
| 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 | 337 | 2009 |
| From individual to collective behavior in bacterial chemotaxis R Erban, HG Othmer SIAM Journal on Applied Mathematics 65 (2), 361-391, 2004 | 337 | 2004 |
| A practical guide to stochastic simulations of reaction-diffusion processes R Erban, J Chapman, P Maini arXiv preprint arXiv:0704.1908, 2007 | 253 | 2007 |
| Reactive boundary conditions for stochastic simulations of reaction–diffusion processes R Erban, SJ Chapman Physical Biology 4 (1), 16, 2007 | 182 | 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 | 157 | 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 | 143 | 2005 |
| A Cucker--Smale model with noise and delay R Erban, J Haskovec, Y Sun SIAM Journal on Applied Mathematics 76 (4), 1535-1557, 2016 | 134 | 2016 |
| 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 | 114 | 2012 |
| 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 | 110 | 2006 |
| From microscopic to macroscopic descriptions of cell migration on growing domains RE Baker, CA Yates, R Erban Bulletin of mathematical biology 72, 719-762, 2010 | 103 | 2010 |
| Multistability in planar liquid crystal wells C Luo, A Majumdar, R Erban Physical Review E 85 (6), 061702, 2012 | 82 | 2012 |
| 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 | 82 | 2011 |
| Taxis equations for amoeboid cells R Erban, HG Othmer Journal of mathematical biology 54, 847-885, 2007 | 79 | 2007 |
| 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 | 78 | 2013 |
| 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 | 74 | 2007 |
| Noise-induced multistability in chemical systems: Discrete versus continuum modeling A Duncan, S Liao, T Vejchodskę, R Erban, R Grima Physical Review E 91 (4), 042111, 2015 | 70 | 2015 |
| 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 | 68 | 2006 |
| Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model R Erban, SJ Chapman, IG Kevrekidis, T Vejchodskę SIAM Journal on Applied Mathematics 70 (3), 984-1016, 2009 | 63 | 2009 |
| Stochastic modelling of reaction–diffusion processes R Erban, SJ Chapman Cambridge University Press, 2020 | 56 | 2020 |
