Prof. Radek Erban
Status
Academic Faculty
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications
Highlighted publications
Coupling all-atom molecular dynamics simulations of ions in water with Brownian dynamics
Erban, R Proceedings of the Royal Society A volume 472 issue 2186 20150556 (Feb 2016) doi:10.1098/rspa.2015.0556 From Molecular Dynamics to Brownian Dynamics
Erban, R (15 Jan 2014) https://arxiv.org/abs/1401.3456v1 The two-regime method for optimizing stochastic reaction-diffusion simulations.
Flegg, M Chapman, S Erban, R J R Soc Interface volume 9 issue 70 859-868 (07 May 2012) doi:10.1098/rsif.2011.0574 Stochastic modelling of reaction-diffusion processes: algorithms for bimolecular reactions.
Erban, R Chapman, S Phys Biol volume 6 issue 4 046001 (21 Aug 2009) doi:10.1088/1478-3975/6/4/046001 Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model
Erban, R Chapman, S Kevrekidis, I Vejchodsky, T (28 Jul 2008) https://arxiv.org/abs/0807.4498v2 Reactive boundary conditions for stochastic simulations of reaction-diffusion processes
Erban, R S.J. Chapman Physical Biology volume 4 issue 1 16-28 (24 Jan 2007) doi:10.1088/1478-3975/4/1/003 From individual to collective behavior in bacterial chemotaxis
Erban, R H.G. Othmer SIAM Journal on Applied Mathematics volume 2 issue 65 361-391 (2004) doi:10.1137/S0036139903433232 Research interests
Applied Mathematics, Mathematical Biology, Multiscale Modelling, Partial Differential Equations, Stochastic Simulation Algorithms, Gene Regulatory Networks, Chemotaxis, Collective Animal Behaviour
Recent books
Recent publications
Extended pseudo-spectral physics-informed neural networks for phase-field models
Marsh, C Erban, R Munch, A (23 Jun 2026) doi:10.48550/arxiv.2606.24660 Neural networks for learning macroscopic chemotactic sensitivity from microscopic models
Erban, R SIAM Journal on Life Sciences volume 1 issue 1 121-141 (30 Mar 2026) doi:10.1137/25m1799064 Supporting data for the paper "Neural networks for learning macroscopic chemotactic sensitivity from microscopic models"
Erban, R (01 Jan 2026) doi:10.5287/ora-xqdkj4xx7 On the role of fractional Brownian motion in models of chemotaxis and stochastic gradient ascent
Cornejo-Olea, G Buvinic, L Darbon, J Erban, R Ravasio, A Matzavinos, A (24 Nov 2025) Impact of memory on clustering in spontaneous particle aggregation
Erban, R Haskovec, J (17 Oct 2025) doi:10.48550/arxiv.2510.15335