All Stories

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

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, February 2016, Royal Society Publishing

    Professor Radek Erban

  2. Tensor methods for parameter estimation and bifurcation analysis of stochastic reaction networks

    Article • Journal of The Royal Society Interface, June 2015, Royal Society Publishing

    Professor Radek Erban

  3. From molecular dynamics to Brownian dynamics

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, April 2014, Royal Society Publishing

    Professor Radek Erban

  4. Adaptive two-regime method: Application to front propagation

    Article • The Journal of Chemical Physics, March 2014, American Institute of Physics

    Professor Radek Erban

  5. From Brownian Dynamics to Markov Chain: An Ion Channel Example

    Article • SIAM Journal on Applied Mathematics, February 2014, Society for Industrial & Applied Mathematics (SIAM)

    Professor Radek Erban

  6. Editorial: Special Issue on Stochastic Modelling of Reaction–Diffusion Processes in Biology

    Article • Bulletin of Mathematical Biology, January 2014, Springer Science + Business Media

    Professor Radek Erban

  7. Analysis of the Two-Regime Method on Square Meshes

    Article • SIAM Journal on Scientific Computing, January 2014, Society for Industrial & Applied Mathematics (SIAM)

    Professor Radek Erban

  8. Travelling Waves in Hybrid Chemotaxis Models

    Article • Bulletin of Mathematical Biology, December 2013, Springer Science + Business Media

    Professor Radek Erban

  9. Multiscale Reaction-Diffusion Algorithms: PDE-Assisted Brownian Dynamics

    Article • SIAM Journal on Applied Mathematics, June 2013, Society for Industrial & Applied Mathematics (SIAM)

    Professor Radek Erban

  10. Multiscale Stochastic Reaction–Diffusion Modeling: Application to Actin Dynamics in Filopodia

    Article • Bulletin of Mathematical Biology, May 2013, Springer Science + Business Media

    Professor Radek Erban

  11. Diffusive spatio-temporal noise in a first-passage time model for intracellular calcium release

    Article • The Journal of Chemical Physics, April 2013, American Institute of Physics

    Professor Radek Erban

  12. Hybrid Modelling of Individual Movement and Collective Behaviour

    Article • January 2013, Springer Science + Business Media

    Professor Radek Erban

  13. Adaptive Finite Element Method Assisted by Stochastic Simulation of Chemical Systems

    Article • SIAM Journal on Scientific Computing, January 2013, Society for Industrial & Applied Mathematics (SIAM)

    Professor Radek Erban

  14. From individual to collective behaviour of coupled velocity jump processes: A locust example

    Article • Kinetic and Related Models, November 2012, American Institute of Mathematical Sciences (AIMS)

    Professor Radek Erban

  15. Going from microscopic to macroscopic on nonuniform growing domains

    Article • Physical Review E, August 2012, American Physical Society (APS)

    Professor Radek Erban, Dr Christian Adam Yates

  16. A higher-order numerical framework for stochastic simulation of chemical reaction systems

    Article • BMC Systems Biology, July 2012, Springer Science + Business Media

    Professor Radek Erban

  17. Multistability in planar liquid crystal wells

    Article • Physical Review E, June 2012, American Physical Society (APS)

    Professor Radek Erban

  18. Fat versus Thin Threading Approach on GPUs: Application to Stochastic Simulation of Chemical Reactions

    Article • IEEE Transactions on Parallel and Distributed Systems, February 2012, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Radek Erban

  19. A constrained approach to multiscale stochastic simulation of chemically reacting systems

    Article • The Journal of Chemical Physics, September 2011, American Institute of Physics

    Professor Radek Erban

  20. Analysis of Brownian Dynamics Simulations of Reversible Bimolecular Reactions

    Article • SIAM Journal on Applied Mathematics, January 2011, Society for Industrial & Applied Mathematics (SIAM)

    Professor Radek Erban

  21. Travelling Waves in Hyperbolic Chemotaxis Equations

    Article • Bulletin of Mathematical Biology, October 2010, Springer Science + Business Media

    Professor Radek Erban

  22. Ergodic directional switching in mobile insect groups

    Article • Physical Review E, July 2010, American Physical Society (APS)

    Professor Radek Erban, Dr Christian Adam Yates

  23. DifFUZZY: a fuzzy clustering algorithm for complex datasets

    Article • International Journal of Computational Intelligence in Bioinformatics and Systems Biology, January 2010, Inderscience Publishers

    Professor Radek Erban

  24. From Microscopic to Macroscopic Descriptions of Cell Migration on Growing Domains

    Article • Bulletin of Mathematical Biology, October 2009, Springer Science + Business Media

    Professor Radek Erban, Dr Ruth Baker, Dr Christian Adam Yates

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

    Article • Physical Biology, August 2009, Institute of Physics Publishing

    Professor Radek Erban

  26. Analysis of a Stochastic Chemical System Close to a SNIPER Bifurcation of Its Mean-Field Model

    Article • SIAM Journal on Applied Mathematics, January 2009, Society for Industrial & Applied Mathematics (SIAM)

    Professor Radek Erban

  27. DYNAMICS OF POLYDISPERSE IRREVERSIBLE ADSORPTION: A PHARMACOLOGICAL EXAMPLE

    Article • Mathematical Models and Methods in Applied Sciences, May 2007, World Scientific Pub Co Pte Lt

    Professor Radek Erban

  28. Time scale of random sequential adsorption

    Article • Physical Review E, April 2007, American Physical Society (APS)

    Professor Radek Erban

  29. Variable-free exploration of stochastic models: A gene regulatory network example

    Article • The Journal of Chemical Physics, April 2007, American Institute of Physics

    Professor Radek Erban

  30. On Chemisorption of Polymers to Solid Surfaces

    Article • Journal of Statistical Physics, March 2007, Springer Science + Business Media

    Professor Radek Erban

  31. Reactive boundary conditions for stochastic simulations of reaction–diffusion processes

    Article • Physical Biology, February 2007, Institute of Physics Publishing

    Professor Radek Erban

  32. Taxis equations for amoeboid cells

    Article • Journal of Mathematical Biology, February 2007, Springer Science + Business Media

    Professor Radek Erban

  33. Spatially distributed stochastic systems: Equation-free and equation-assisted preconditioned computations

    Article • The Journal of Chemical Physics, November 2006, American Institute of Physics

    Professor Radek Erban

  34. Global existence results for complex hyperbolic models of bacterial chemotaxis

    Article • Discrete and Continuous Dynamical Systems - B, August 2006, American Institute of Mathematical Sciences (AIMS)

    Professor Radek Erban

  35. An equation-free computational approach for extracting population-level behavior from individual-based models of biological dispersal

    Article • Physica D Nonlinear Phenomena, March 2006, Elsevier

    Professor Radek Erban

  36. Gene regulatory networks: A coarse-grained, equation-free approach to multiscale computation

    Article • The Journal of Chemical Physics, February 2006, American Institute of Physics

    Professor Radek Erban

  37. From Signal Transduction to Spatial Pattern Formation in E. coli : A Paradigm for Multiscale Modeling in Biology

    Article • Multiscale Modeling and Simulation, January 2005, Society for Industrial & Applied Mathematics (SIAM)

    Professor Radek Erban

  38. From Individual to Collective Behavior in Bacterial Chemotaxis

    Article • SIAM Journal on Applied Mathematics, January 2004, Society for Industrial & Applied Mathematics (SIAM)

    Professor Radek Erban

  39. On the existence of solutions to the Navier-Stokes equations of a two-dimensional compressible flow

    Article • Mathematical Methods in the Applied Sciences, January 2003, Wiley

    Professor Radek Erban