Prof. Radek Erban | Mathematical Institute

Prof. Radek Erban

Status:

Academic Faculty

Contact form

Personal website:

http://people.maths.ox.ac.uk/erban/

+44 1865 615134

ORCID iD:

https://orcid.org/0000-0001-8470-3763

Research groups:

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent Books:

Stochastic modelling of reaction-diffusion processes

ISBN-13: 9781108498128 (4 November 2019)

Highlighted Publications:

Coupling all-atom molecular dynamics simulations of ions in water with Brownian dynamics.

Coupling all-atom molecular dynamics simulations of ions in water with Brownian dynamics.
Erban, R
Proceedings. Mathematical, physical, and engineering sciences issue 2186 volume 472 page 20150556- (February 2016)

The two-regime method for optimizing stochastic reaction-diffusion simulations.

The two-regime method for optimizing stochastic reaction-diffusion simulations.
Flegg, M; Chapman, S; Erban, R
J R Soc Interface issue 70 volume 9 page 859-868 (7 May 2012) Full text available

Stochastic modelling of reaction-diffusion processes: algorithms for bimolecular reactions.

Stochastic modelling of reaction-diffusion processes: algorithms for bimolecular reactions.
Erban, R; Chapman, S
Phys Biol issue 4 volume 6 page 046001- (21 August 2009) Full text available

Reactive boundary conditions for stochastic simulations of reaction-diffusion processes

Reactive boundary conditions for stochastic simulations of reaction-diffusion processes
Erban, R; S.J. Chapman
Physical Biology issue 1 volume 4 page 16-28 (24 January 2007)

From individual to collective behavior in bacterial chemotaxis

From individual to collective behavior in bacterial chemotaxis
Erban, R; H.G. Othmer
SIAM Journal on Applied Mathematics issue 65 volume 2 page 361-391 (2004)

From Molecular Dynamics to Brownian Dynamics

From Molecular Dynamics to Brownian Dynamics
Erban, R
Proceedings. Mathematical, physical, and engineering sciences issue 2167 volume 470 page 20140036- (July 2014) Full text available

Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model

Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model
Erban, R; Chapman, S; Kevrekidis, I; Vejchodsky, T
SIAM JOURNAL ON APPLIED MATHEMATICS issue 3 volume 70 page 984-1016 (2009) Full text available

Recent Publications:

On the sum of positive divisors functions

On the sum of positive divisors functions
Erban, R; Van Gorder, R
Research in Number Theory volume 7 (22 March 2021)

Coarse-graining molecular dynamics: stochastic models with non-Gaussian force distributions

Coarse-graining molecular dynamics: stochastic models with non-Gaussian force distributions
Erban, R
Journal of Mathematical Biology (21 September 2019) Full text available

Multiscale stochastic reaction–diffusion algorithms combining Markov chain models with stochastic partial differential equations

Multiscale stochastic reaction–diffusion algorithms combining Markov chain models with stochastic partial differential equations
Kang, H; Erban, R
Bulletin of Mathematical Biology issue 8 volume 81 page 3185-3213 (4 June 2019)

Multi-resolution dimer models in heat baths with short-range and long-range interactions

Multi-resolution dimer models in heat baths with short-range and long-range interactions
Gunaratne, R; Wilson, D; Flegg, M; Erban, R
Interface Focus issue 3 volume 9 (19 April 2019)

Noise-induced Mixing and Multimodality in Reaction Networks

Noise-induced Mixing and Multimodality in Reaction Networks
Plesa, T; Erban, R; Othmer, H
European Journal of Applied Mathematics (18 September 2018) Full text available

Research interests:

Applied Mathematics, Mathematical Biology, Multiscale Modelling, Partial Differential Equations, Stochastic Simulation Algorithms, Gene Regulatory Networks, Chemotaxis, Collective Animal Behaviour

Major / recent publications:

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