Radek Erban

发表

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

Ioannis G Kevrekidis, Radek Erban, Thomas A Frewen, 2006, The Journal of chemical physics.

Deterministic and stochastic models of dynamics of chemical systems

Radek Erban, Tomáš Vejchodský, 2008 .

Supplementary material from "Noise control for molecular computing"

Radek Erban, Konstantinos C. Zygalakis, Tomislav Plesa, 2018 .

ADM-CLE Approach for Detecting Slow Variables in Continuous Time Markov Chains and Dynamic Data pdf

Radek Erban, Mihai Cucuringu, Mihai Cucuringu, 2015, SIAM J. Sci. Comput..

Mathematical Modelling of Turning Delays in Swarm Robotics pdf

Radek Erban, Christian A. Yates, Jake P. Taylor-King, 2014, ArXiv.

Projective and coarse projective integration for problems with continuous symmetries

Andreas G. Boudouvis, Radek Erban, Ioannis G. Kevrekidis, 2007, J. Comput. Phys..

Analysis of Brownian Dynamics Simulations of Reversible Bimolecular Reactions

S. Jonathan Chapman, Radek Erban, Konstantinos C. Zygalakis, 2010, SIAM J. Appl. Math..

From Individual to Collective Behavior in Bacterial Chemotaxis

Radek Erban, Hans G. Othmer, H. Othmer, 2004, SIAM J. Appl. Math..

Spatially Distributed Stochastic Systems: equation-free and equation-assisted bifurcation analysis

Radek Erban, Ioannis G. Kevrekidis, Carl Tim Kelley, 2006 .

Multiscale Stochastic Reaction–Diffusion Algorithms Combining Markov Chain Models with Stochastic Partial Differential Equations

Radek Erban, Hye-Won Kang, R. Erban, 2019, Bulletin of Mathematical Biology.

Multi-resolution simulations of intracellular processes

Radek Erban, Raffaello Potestio, Sarah A. Harris, 2019, Interface Focus.

Adaptive Finite Element Method Assisted by Stochastic Simulation of Chemical Systems

Radek Erban, Tomás Vejchodský, Simon L. Cotter, 2011, SIAM J. Sci. Comput..

Error Analysis of Diffusion Approximation Methods for Multiscale Systems in Reaction Kinetics

Radek Erban, Simon L. Cotter, R. Erban, 2014, SIAM J. Sci. Comput..

Reduction of chemical systems by delayed quasi-steady state assumptions

Radek Erban, Philip K. Maini, Tom'avs Vejchodsk'y, 2014 .

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

Radek Erban, Michael B. Giles, Philip K. Maini, 2012, IEEE Transactions on Parallel and Distributed Systems.

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

S. Jonathan Chapman, Radek Erban, Ioannis G. Kevrekidis, 2008, SIAM J. Appl. Math..

Noise Control for DNA Computing

Radek Erban, Konstantinos C. Zygalakis, Tomislav Plesa, 2017, 1705.09392.

Human pair walking behavior: evaluation of cooperation strategies

Radek Erban, Richard Kollár, Ulrich Dobramysl, 2015 .

Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps

Amit Singer, Ioannis G Kevrekidis, Radek Erban, 2009, Proceedings of the National Academy of Sciences.

Particle-Based Multiscale Modeling of Calcium Puff Dynamics

Sten Rüdiger, Radek Erban, Ulrich Dobramysl, 2015, Multiscale Model. Simul..

DifFUZZY: a fuzzy clustering algorithm for complex datasets

Sijia Liu, Radek Erban, Sandhya Samarasinghe, 2010, CI 2010.

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

Radek Erban, Hans G Othmer, H. Othmer, 2014, Bulletin of Mathematical Biology.

Multiscale Reaction-Diffusion Algorithms: PDE-Assisted Brownian Dynamics

S. Jonathan Chapman, Radek Erban, Benjamin Franz, 2012, SIAM J. Appl. Math..

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

Radek Erban, Tomáš Vejchodský, Shuohao Liao, 2015, Journal of The Royal Society Interface.

Multiscale reaction-diffusion simulations with Smoldyn

Radek Erban, Martin Robinson, Steven S. Andrews, 2015, Bioinform..

Hybrid framework for the simulation of stochastic chemical kinetics

Radek Erban, Konstantinos C. Zygalakis, Andrew Duncan, 2016, J. Comput. Phys..

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

Radek Erban, Kevin Burrage, Konstantinos C. Zygalakis, 2012, BMC Systems Biology.

A Cucker-Smale Model with Noise and Delay

Radek Erban, Yongzheng Sun, Jan Haskovec, 2015, SIAM J. Appl. Math..

Noise control for molecular computing

Radek Erban, David F Anderson, Tomislav Plesa, 2018, Journal of The Royal Society Interface.

Convergence of methods for coupling of microscopic and mesoscopic reaction-diffusion simulations

Stefan Hellander, Radek Erban, Mark B. Flegg, 2013, J. Comput. Phys..

Reactive Boundary Conditions as Limits of Interaction Potentials for Brownian and Langevin Dynamics

Samuel A. Isaacson, S. Jonathan Chapman, Radek Erban, 2015, SIAM J. Appl. Math..

DifFUZZY : a novel clustering algorithm for systems biology

Helen M. Byrne, Radek Erban, Philip K. Maini, 2012 .

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

Radek Erban, Hans G. Othmer, H. Othmer, 2005 .

Parameter estimation and bifurcation analysis of stochastic models of gene regulatory networks: tensor-structured methods

Radek Erban, Shuohao Liao, Tomas Vejchodsky, 2014, 1406.7825.

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

Radek Erban, Mark B. Flegg, Mark B Flegg, 2012, Journal of The Royal Society Interface.

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

Ioannis G Kevrekidis, Radek Erban, Timothy C Elston, 2005, The Journal of chemical physics.

STOCHSIMGPU: parallel stochastic simulation for the Systems Biology Toolbox 2 for MATLAB

Radek Erban, Michael B. Giles, Philip K. Maini, 2011, Bioinform..

From Brownian Dynamics to Markov Chain: An Ion Channel Example

S. Jonathan Chapman, Radek Erban, Wan Chen, 2012, SIAM J. Appl. Math..

Varying the Resolution of the Rouse Model on Temporal and Spatial Scales: Application to Multiscale Modeling of DNA Dynamics

Radek Erban, Yuichi Togashi, Edward Rolls, 2016, Multiscale Model. Simul..

Analysis of the Two-Regime Method on Square Meshes

S. Jonathan Chapman, Radek Erban, Likun Zheng, 2013, SIAM J. Sci. Comput..

On the sum of positive divisors functions

Radek Erban, Robert A. Van Gorder, R. Erban, 2021, Research in Number Theory.

Steric Effects Induce Geometric Remodeling of Actin Bundles in Filopodia

Radek Erban, Garegin A Papoian, G. Papoian, 2016, Biophysical journal.

Test Models for Statistical Inference: Two-Dimensional Reaction Systems Displaying Limit Cycle Bifurcations and Bistability

Radek Erban, Tomislav Plesa, Tomas Vejchodsky, 2016, 1607.07738.

From molecular to continuum modelling of bistable liquid crystal devices

Apala Majumdar, Radek Erban, Patrick E. Farrell, 2017 .

DYNAMICS OF POLYDISPERSE IRREVERSIBLE ADSORPTION: A PHARMACOLOGICAL EXAMPLE

Radek Erban, Ioannis G. Kevrekidis, Leonard W. Seymour, 2006 .

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

Radek Erban, Garegin A. Papoian, Mark B. Flegg, 2014, Bulletin of mathematical biology.

Going from microscopic to macroscopic on nonuniform growing domains.

Radek Erban, Ruth E Baker, Christian A Yates, 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

Chemical reaction systems with a homoclinic bifurcation: an inverse problem

Radek Erban, Tomáš Vejchodský, Tomislav Plesa, 2015, Journal of Mathematical Chemistry.

Hybrid Modelling of Individual Movement and Collective Behaviour

Radek Erban, Benjamin Franz, R. Erban, 2013 .

Adaptive two-regime method: application to front propagation.

Radek Erban, Martin Robinson, Mark B. Flegg, 2013, The Journal of chemical physics.

Time delay can facilitate coherence in self-driven interacting-particle systems.

Wei Lin, Radek Erban, Yongzheng Sun, 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

Genome-wide analysis of poly(A) site selection in Schizosaccharomyces pombe

Jürg Bähler, Monika Gullerova, Radek Erban, 2013, RNA.

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

Ioannis G Kevrekidis, Radek Erban, C. Kelley, 2006, The Journal of chemical physics.

Time scale of random sequential adsorption.

Radek Erban, S Jonathan Chapman, 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

From Microscopic to Macroscopic Descriptions of Cell Migration on Growing Domains

Ruth E. Baker, Radek Erban, Christian A. Yates, 2010, Bulletin of mathematical biology.

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

Ioannis G Kevrekidis, Radek Erban, Konstantinos C Zygalakis, 2011, The Journal of chemical physics.

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

Radek Erban, Daniel B. Wilson, Mark B. Flegg, 2018, Interface Focus.

Ergodic directional switching in mobile insect groups.

Ioannis G Kevrekidis, Radek Erban, Christian A. Yates, 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

Sten Rüdiger, Radek Erban, Mark B. Flegg, 2013, The Journal of chemical physics.

Multistability in planar liquid crystal wells.

Apala Majumdar, Radek Erban, R. Erban, 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

Radek Erban, R. Erban, 2015, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Global existence results for complex hyperbolic models of bacterial chemotaxis

Radek Erban, Hyung Ju Hwang, R. Erban, 2006, math/0602139.