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Mathematics

D-Index
31
Citations
4141
World Ranking
3333
National Ranking
219

Overview

Radek Erban is affiliated with the University of Oxford in the United Kingdom and conducts research spanning multiple disciplines within biochemistry, genetics, molecular biology, and mathematics. Their work encompasses a range of topics that intersect molecular biology and applied mathematical modeling.

Their recent papers cover areas such as actin filament mechanics, molecular dynamics simulations of nucleic acids, and chemical systems characterized by dynamic behaviors. Notable publications include:

  • On Stretching, Bending, Shearing, and Twisting of Actin Filaments I: Variational Models (2022, Journal of Chemical Theory and Computation)
  • Asymmetric Periodic Boundary Conditions for All-Atom Molecular Dynamics and Coarse-Grained Simulations of Nucleic Acids (2023, The Journal of Physical Chemistry B)
  • Chemical Systems with Limit Cycles (2023, Bulletin of Mathematical Biology)
  • On Stretching, Bending, Shearing and Twisting of Actin Filaments II: Multi-Resolution Modelling (2022, arXiv (Cornell University))
  • On standardised moments of force distribution in simple liquids (2022, Physical Chemistry Chemical Physics)

Their research frequently appears in venues such as arXiv (Cornell University), which includes the largest number of their publications, followed by Bulletin of Mathematical Biology, the Journal of Chemical Theory and Computation, and The Journal of Physical Chemistry B.

Radek Erban often collaborates with several coauthors spanning both theoretical and applied domains. Frequent coauthors include:

  • Carlos Floyd
  • Haoran Ni
  • Ravinda S. Gunaratne
  • Garegin A. Papoian
  • Jonathan Utterson

Their main fields of study reflect a strong focus on biochemistry and molecular biology alongside mathematics. Within these broader areas, subfields that are recurrent in their research include molecular biology, atomic and molecular physics and optics, cell biology, algebra and number theory, and computer networks and communications.

Their principal research topics encompass gene regulatory network analysis, cellular mechanics and interactions, protein structure and dynamics, nonlinear dynamics and pattern formation, microbial metabolic engineering and bioproduction, spectroscopy and quantum chemical studies, and mathematical biology related to tumor growth.

Best Publications

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

    Radek Erban;S Jonathan Chapman

  • Inherent noise can facilitate coherence in collective swarm motion

    Christian A. Yates;Radek Erban;Carlos Escudero;Iain D. Couzin

  • From Individual to Collective Behavior in Bacterial Chemotaxis

    Radek Erban;Hans G. Othmer

  • Reactive boundary conditions for stochastic simulations of reaction-diffusion processes.

    Radek Erban;S Jonathan Chapman

  • A practical guide to stochastic simulations of reaction-diffusion processes

    Radek Erban;Jonathan Chapman;Philip Maini

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

    Amit Singer;Radek Erban;Ioannis G. Kevrekidis;Ronald R. Coifman

  • A CUCKER-SMALE MODEL WITH NOISE AND DELAY ∗

    Radek Erban;Jan Haškovec;Yongzheng Sun

  • Realistic boundary conditions for stochastic simulations of reaction-diffusion processes

    Radek Erban;S. Jonathan Chapman

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

    Radek Erban;Hans G. Othmer

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

    Mark B. Flegg;S. Jonathan Chapman;Radek Erban

  • From Microscopic to Macroscopic Descriptions of Cell Migration on Growing Domains

    Ruth E. Baker;Christian A. Yates;Radek Erban

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

    Radek Erban;Ioannis G. Kevrekidis;David Adalsteinsson;Timothy C. Elston

  • Analysis of Brownian Dynamics Simulations of Reversible Bimolecular Reactions

    Jana Lipková;Konstantinos C. Zygalakis;S. Jonathan Chapman;Radek Erban

  • Multistability in planar liquid crystal wells.

    Chuong Luo;Apala Majumdar;Radek Erban

  • Taxis Equations for Amoeboid Cells

    Radek Erban;Hans G. Othmer

  • Multiscale Reaction-Diffusion Algorithms: PDE-Assisted Brownian Dynamics

    Benjamin Franz;Mark B. Flegg;S. Jonathan Chapman;Radek Erban

  • Noise-induced multistability in chemical systems: Discrete versus continuum modeling

    Andrew Duncan;Shuohao Liao;Tomáš Vejchodský;Tomáš Vejchodský;Radek Erban

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

    Radek Erban;Ioannis G. Kevrekidis;Hans G. Othmer

  • From molecular dynamics to Brownian dynamics.

    Radek Erban

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

    Radek Erban;S. Jonathan Chapman;Ioannis G. Kevrekidis;Tomáš Vejchodský

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

    Guido Klingbeil;Radek Erban;Mike B. Giles;Philip K. Maini

  • Stochastic Modelling of Reaction-Diffusion Processes

    Radek Erban;S. Jonathan Chapman

  • On Cucker-Smale model with noise and delay

    Radek Erban;Jan Haskovec;Yongzheng Sun

Frequent Co-Authors

Ioannis G. Kevrekidis
Ioannis G. Kevrekidis Johns Hopkins University
Philip K. Maini
Philip K. Maini University of Oxford
Hans G. Othmer
Hans G. Othmer University of Minnesota
Kevin Burrage
Kevin Burrage Queensland University of Technology
Carl Tim Kelley
Carl Tim Kelley North Carolina State University
Ronald R. Coifman
Ronald R. Coifman Yale University
Michael B. Giles
Michael B. Giles University of Oxford
Boaz Nadler
Boaz Nadler Weizmann Institute of Science
Leonard W. Seymour
Leonard W. Seymour University of Oxford
Nick J. Proudfoot
Nick J. Proudfoot University of Oxford

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