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
Recent books
Recent publications
On the counting function of semiprimes
Crisan, D Erban, R Integers volume 21 (13 Dec 2021) On Stretching, Bending, Shearing and Twisting of Actin Filaments I:
Variational Models
Floyd, C Ni, H Gunaratne, R Erban, R Papoian, G (02 Dec 2021) http://arxiv.org/abs/2112.01480v3 Variational Models
On the sum of positive divisors functions
Erban, R Van Gorder, R Research in Number Theory volume 7 (22 Mar 2021) Coarse-graining molecular dynamics: stochastic models with non-Gaussian
force distributions
Erban, R Journal of Mathematical Biology (21 Sep 2019) http://arxiv.org/abs/1908.10211v1 force distributions
Multiscale stochastic reaction–diffusion algorithms combining Markov chain models with stochastic partial differential equations
Kang, H Erban, R Bulletin of Mathematical Biology volume 81 issue 8 3185-3213 (04 Jun 2019) Research interests
Applied Mathematics, Mathematical Biology, Multiscale Modelling, Partial Differential Equations, Stochastic Simulation Algorithms, Gene Regulatory Networks, Chemotaxis, Collective Animal Behaviour
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) Major / recent publications