R. Erban

Most-cited papers

A Cucker-Smale Model with Noise and Delay
R. Erban, J. Haskovec, Yong-Zheng Sun
2016SIAM Journal on Applied Mathematics165 citations Open access
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The two-regime method for optimizing stochastic reaction–diffusion simulations
Mark B. Flegg, S. Chapman, R. Erban
2012Journal of the Royal Society Interface104 citations Open access
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From Microscopic to Macroscopic Descriptions of Cell Migration on Growing Domains
R. Baker, C. Yates, R. Erban
2010Bulletin of Mathematical Biology98 citations Open access
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Multistability in planar liquid crystal wells.
Chong Luo, A. Majumdar, R. Erban
2012Physical review. E, Statistical, nonlinear, and soft matter physics74 citations Open access
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Multiscale Reaction-Diffusion Algorithms: PDE-Assisted Brownian Dynamics
Benjamin Franz, Mark B. Flegg, S. Chapman, R. Erban
2012SIAM Journal on Applied Mathematics69 citations Open access
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Multiscale reaction-diffusion simulations with Smoldyn
M. Robinson, S. Andrews, R. Erban
2015Bioinform.57 citations Open access
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Noise-induced multistability in chemical systems: Discrete versus continuum modeling.
A. Duncan, Shuohao Liao, T. Vejchodský, R. Erban +1 more
2014Physical review. E, Statistical, nonlinear, and soft matter physics56 citations Open access
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From molecular to continuum modelling of bistable liquid crystal devices
M. Robinson, Chong Luo, P. Farrell, R. Erban +1 more
201755 citations Open access
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From molecular dynamics to Brownian dynamics
R. Erban
2014Proceedings of the Royal Society A52 citations Open access
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Travelling Waves in Hyperbolic Chemotaxis Equations
Chuan Xue, H. Hwang, K. Painter, R. Erban
2011Bulletin of Mathematical Biology52 citations Open access
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Hybrid framework for the simulation of stochastic chemical kinetics
A. Duncan, R. Erban, K. Zygalakis
2015Journal of Computational Physics51 citations Open access
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Diffusive spatio-temporal noise in a first-passage time model for intracellular calcium release.
Mark B. Flegg, S. Rüdiger, R. Erban
2013Journal of Chemical Physics44 citations Open access
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Genome-wide analysis of poly(A) site selection in Schizosaccharomyces pombe
Margarita Schlackow, S. Marguerat, N. Proudfoot, J. Bähler +2 more
2013RNA: A publication of the RNA Society43 citations Open access
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Stochastic Modelling of Reaction–Diffusion Processes
R. Erban, S. J. Chapman
201941 citations
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STOCHSIMGPU: parallel stochastic simulation for the Systems Biology Toolbox 2 for MATLAB
G. Klingbeil, R. Erban, M. Giles, P. Maini
2011Bioinform.41 citations
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Going from microscopic to macroscopic on nonuniform growing domains.
C. Yates, R. Baker, R. Erban, P. Maini
2012Physical review. E, Statistical, nonlinear, and soft matter physics39 citations Open access
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Travelling Waves in Hybrid Chemotaxis Models
Benjamin Franz, Chuan Xue, K. Painter, R. Erban
2013Bulletin of Mathematical Biology38 citations Open access
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Adaptive two-regime method: application to front propagation.
M. Robinson, Mark B. Flegg, R. Erban
2013Journal of Chemical Physics37 citations Open access
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A constrained approach to multiscale stochastic simulation of chemically reacting systems.
S. Cotter, K. Zygalakis, I. Kevrekidis, R. Erban
2011Journal of Chemical Physics37 citations Open access
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Multiscale Stochastic Reaction–Diffusion Modeling: Application to Actin Dynamics in Filopodia
R. Erban, Mark B. Flegg, G. Papoian
2013Bulletin of Mathematical Biology36 citations
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Stochastic Turing Patterns: Analysis of Compartment-Based Approaches
Yang Cao, R. Erban
2013Bulletin of Mathematical Biology34 citations Open access
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Particle-Based Multiscale Modeling of Calcium Puff Dynamics
U. Dobramysl, S. Rüdiger, R. Erban
2015Multiscale Modeling & simulation31 citations Open access
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Tensor methods for parameter estimation and bifurcation analysis of stochastic reaction networks
Shuohao Liao, T. Vejchodský, R. Erban
2015Journal of the Royal Society Interface28 citations Open access
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Fat versus Thin Threading Approach on GPUs: Application to Stochastic Simulation of Chemical Reactions
G. Klingbeil, R. Erban, M. Giles, P. Maini
2012IEEE Transactions on Parallel and Distributed Systems28 citations Open access
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Mathematical Modelling of Turning Delays in Swarm Robotics
J. Taylor-King, Benjamin Franz, C. Yates, R. Erban
2014arXiv.org27 citations Open access
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Hybrid Modelling of Individual Movement and Collective Behaviour
Benjamin Franz, R. Erban
201326 citations
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From individual to collective behaviour of coupled velocity jump processes: a locust example
R. Erban, J. Haskovec
201126 citations Open access
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Coupling all-atom molecular dynamics simulations of ions in water with Brownian dynamics
R. Erban
2015Proceedings of the Royal Society A24 citations Open access
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Time delay can facilitate coherence in self-driven interacting-particle systems.
Yong-Zheng Sun, Wei Lin, R. Erban
2014Physical review. E, Statistical, nonlinear, and soft matter physics24 citations
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Analysis of the Two-Regime Method on Square Meshes
Mark B. Flegg, S. Chapman, Li-Kun Zheng, R. Erban
2013SIAM Journal on Scientific Computing24 citations Open access
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Chemical reaction systems with a homoclinic bifurcation: an inverse problem
Tomislav Plesa, T. Vejchodský, R. Erban
2015Journal of Mathematical Chemistry22 citations Open access
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Multiscale Stochastic Reaction–Diffusion Algorithms Combining Markov Chain Models with Stochastic Partial Differential Equations
Hye-Won Kang, R. Erban
2019Bulletin of Mathematical Biology19 citations Open access
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Steric Effects Induce Geometric Remodeling of Actin Bundles in Filopodia
U. Dobramysl, G. Papoian, R. Erban
2016Biophysical Journal18 citations Open access
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Test Models for Statistical Inference: Two-Dimensional Reaction Systems Displaying Limit Cycle Bifurcations and Bistability
Tomislav Plesa, T. Vejchodský, R. Erban
201618 citations Open access
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Reactive Boundary Conditions as Limits of Interaction Potentials for Brownian and Langevin Dynamics
S. J. Chapman, R. Erban, Samuel A. Isaacson
2015SIAM Journal on Applied Mathematics17 citations Open access
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Noise control for molecular computing
Tomislav Plesa, K. Zygalakis, David F. Anderson, R. Erban
2018Journal of the Royal Society Interface16 citations Open access
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Supporting Information Appendix for : Tensor methods for parameter estimation and bifurcation analysis of stochastic reaction networks
Shuohao Liao, T. Vejchodský, R. Erban
201516 citations
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Hard-sphere interactions in velocity-jump models.
Benjamin Franz, J. Taylor-King, C. Yates, R. Erban
2014Physical Review E16 citations Open access
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Error Analysis of Diffusion Approximation Methods for Multiscale Systems in Reaction Kinetics
S. Cotter, R. Erban
2014SIAM Journal on Scientific Computing15 citations Open access
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On Stretching, Bending, Shearing, and Twisting of Actin Filaments I: Variational Models.
Carlos Floyd, Haoran Ni, Ravinda S. Gunaratne, R. Erban +1 more
2021Journal of Chemical Theory and Computation13 citations Open access
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Asymmetric Periodic Boundary Conditions for All-Atom Molecular Dynamics and Coarse-Grained Simulations of Nucleic Acids
R. Erban, Yuichi Togashi
2019Journal of Physical Chemistry B13 citations Open access
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Adaptive Finite Element Method Assisted by Stochastic Simulation of Chemical Systems
S. Cotter, T. Vejchodský, R. Erban
2011SIAM Journal on Scientific Computing13 citations Open access
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Noise-induced mixing and multimodality in reaction networks
Tomislav Plesa, R. Erban, H. Othmer
2018European journal of applied mathematics12 citations Open access
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Chemical Systems with Limit Cycles
R. Erban, Hye-Won Kang
2022Bulletin of Mathematical Biology11 citations Open access
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From Brownian Dynamics to Markov Chain: An Ion Channel Example
Wan Chen, R. Erban, S. J. Chapman
2012SIAM Journal on Applied Mathematics11 citations Open access
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Coarse-graining molecular dynamics: stochastic models with non-Gaussian force distributions
R. Erban
2019Journal of Mathematical Biology10 citations Open access
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Varying the Resolution of the Rouse Model on Temporal and Spatial Scales: Application to Multiscale Modeling of DNA Dynamics
E. Rolls, Y. Togashi, R. Erban
2016Multiscale Modeling & simulation10 citations Open access
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A higher-order numerical framework for stochastic simulation of chemical reaction systems
T. Székely, K. Burrage, R. Erban, K. Zygalakis
2012BMC Systems Biology10 citations Open access
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Identifiability of stochastically modelled reaction networks
G. Enciso, R. Erban, Jinsu Kim
2020European journal of applied mathematics9 citations Open access
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Multi-resolution polymer Brownian dynamics with hydrodynamic interactions.
E. Rolls, R. Erban
2017Journal of Chemical Physics9 citations Open access
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