Professor Radek Erban
University of Oxford
Professor, Mathematics
United Kingdom
My co-authors include
Dr Ruth Baker
Dr Christian Adam Yates
My Publications
Coupling all-atom molecular dynamics simulations of ions in water with Brownian dynamics
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
February 2016
Tensor methods for parameter estimation and bifurcation analysis of stochastic reaction...
Journal of The Royal Society Interface
June 2015
From molecular dynamics to Brownian dynamics
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
April 2014
Adaptive two-regime method: Application to front propagation
The Journal of Chemical Physics
March 2014
From Brownian Dynamics to Markov Chain: An Ion Channel Example
SIAM Journal on Applied Mathematics
February 2014
Editorial: Special Issue on Stochastic Modelling of Reaction–Diffusion Processes in Bio...
Bulletin of Mathematical Biology
January 2014
Analysis of the Two-Regime Method on Square Meshes
SIAM Journal on Scientific Computing
January 2014
Travelling Waves in Hybrid Chemotaxis Models
Bulletin of Mathematical Biology
December 2013
Multiscale Reaction-Diffusion Algorithms: PDE-Assisted Brownian Dynamics
SIAM Journal on Applied Mathematics
June 2013
Multiscale Stochastic Reaction–Diffusion Modeling: Application to Actin Dynamics in Fil...
Bulletin of Mathematical Biology
May 2013
Diffusive spatio-temporal noise in a first-passage time model for intracellular calcium...
The Journal of Chemical Physics
April 2013
Hybrid Modelling of Individual Movement and Collective Behaviour
January 2013
Adaptive Finite Element Method Assisted by Stochastic Simulation of Chemical Systems
SIAM Journal on Scientific Computing
January 2013
From individual to collective behaviour of coupled velocity jump processes: A locust ex...
Kinetic and Related Models
November 2012
Going from microscopic to macroscopic on nonuniform growing domains
Physical Review E
August 2012
Multistability in planar liquid crystal wells
Physical Review E
June 2012
Fat versus Thin Threading Approach on GPUs: Application to Stochastic Simulation of Che...
IEEE Transactions on Parallel and Distributed Systems
February 2012
A higher-order numerical framework for stochastic simulation of chemical reaction systems
BMC Systems Biology
January 2012
A constrained approach to multiscale stochastic simulation of chemically reacting systems
The Journal of Chemical Physics
September 2011
Analysis of Brownian Dynamics Simulations of Reversible Bimolecular Reactions
SIAM Journal on Applied Mathematics
January 2011
Travelling Waves in Hyperbolic Chemotaxis Equations
Bulletin of Mathematical Biology
October 2010
Ergodic directional switching in mobile insect groups
Physical Review E
July 2010
DifFUZZY: a fuzzy clustering algorithm for complex datasets
International Journal of Computational Intelligence in Bioinformatics and Systems Biology
January 2010
From Microscopic to Macroscopic Descriptions of Cell Migration on Growing Domains
Bulletin of Mathematical Biology
October 2009
Stochastic modelling of reaction–diffusion processes: algorithms for bimolecular reactions
Physical Biology
August 2009
Analysis of a Stochastic Chemical System Close to a SNIPER Bifurcation of Its Mean-Fiel...
SIAM Journal on Applied Mathematics
January 2009
DYNAMICS OF POLYDISPERSE IRREVERSIBLE ADSORPTION: A PHARMACOLOGICAL EXAMPLE
Mathematical Models and Methods in Applied Sciences
May 2007
Time scale of random sequential adsorption
Physical Review E
April 2007
Variable-free exploration of stochastic models: A gene regulatory network example
The Journal of Chemical Physics
April 2007
On Chemisorption of Polymers to Solid Surfaces
Journal of Statistical Physics
March 2007
Reactive boundary conditions for stochastic simulations of reaction–diffusion processes
Physical Biology
February 2007
Taxis equations for amoeboid cells
Journal of Mathematical Biology
February 2007
Spatially distributed stochastic systems: Equation-free and equation-assisted precondit...
The Journal of Chemical Physics
November 2006
Global existence results for complex hyperbolic models of bacterial chemotaxis
Discrete and Continuous Dynamical Systems - Series B
August 2006
An equation-free computational approach for extracting population-level behavior from i...
Physica D Nonlinear Phenomena
March 2006
Gene regulatory networks: A coarse-grained, equation-free approach to multiscale comput...
The Journal of Chemical Physics
February 2006
From Signal Transduction to Spatial Pattern Formation in E. coli : A Paradigm for Mult...
Multiscale Modeling and Simulation
January 2005
From Individual to Collective Behavior in Bacterial Chemotaxis
SIAM Journal on Applied Mathematics
January 2004
On the existence of solutions to the Navier-Stokes equations of a two-dimensional compr...
Mathematical Methods in the Applied Sciences
January 2003