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. Mathematical, physical, and engineering sciences volume 472 issue 2186 20150556 (Feb 2016) From Molecular Dynamics to Brownian Dynamics
Erban, R (15 Jan 2014) http://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) https://www.ncbi.nlm.nih.gov/pubmed/22012973 Stochastic modelling of reaction-diffusion processes: algorithms for bimolecular reactions.
Erban, R Chapman, S Phys Biol volume 6 issue 4 046001 (21 Aug 2009) https://www.ncbi.nlm.nih.gov/pubmed/19700812 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) http://arxiv.org/abs/0807.4498v2 of its mean-field model
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) 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) 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
Planar chemical reaction systems with algebraic and non-algebraic limit cycles
Craciun, G Erban, R Journal of Mathematical Biology volume 90 issue 6 (22 May 2025) Multi-grid reaction-diffusion master equation: applications to morphogen gradient modelling
Erban, R Winkelmann, S Bulletin of Mathematical Biology volume 87 issue 1 (27 Nov 2024) Multi-Grid Reaction-Diffusion Master Equation: Applications to Morphogen Gradient Modelling
Erban, R Winkelmann, S Bulletin of Mathematical Biology volume 87 issue 1 (27 Nov 2024) Langevin dynamics for a heavy particle immersed within a flow of light particles
Erban, R Van Gorder, R Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 480 (13 Nov 2024) Supporting data for the paper "Langevin dynamics for a heavy particle immersed within a flow of light particles"
Erban, R Van Gorder, R (01 Jan 2024)