Dr Radek Erban

Name and Title

Dr Radek Erban

BNC Status

Nicholas Kurti Junior Research Fellow

Qualifications

MSc  PhD (University of Minnesota, Minneapolis, USA)
Mgr RNDr (Charles University, Prague, Czech Republic)
MA (Oxford)

Academic Positions

Royal Society University Research Fellow (held at the Mathematical Institute)
Nicholas Kurti Junior Fellow (at Brasenose College)

Academic Background and Previous Positions

I obtained my PhD in Mathematics from the University of Minnesota in 2005 and since then I have worked as a researcher in the Mathematical Institute, University of Oxford.

In recent years, I was awarded a Philip Leverhulme Prize (2010), a Royal Society University Research Fellowship (2011) and a European Research Council Starting Independent Researcher Grant (2009) for my work in Applied Mathematics.

In Oxford, I was previously affiliated with Somerville College (as a Fulford Junior Research Fellow, 2008-2011) and Linacre College (as a Junior Research Fellow, 2005-2008).

Undergraduate Teaching Areas

I have supervised several fourth-year dissertations in different areas of my research. Do not hesitate to contact me if you want to work with me.

Graduate Teaching Areas

I supervise DPhil and MSc dissertations in different areas of applied mathematics and systems biology. I have supervised 15 graduate students to date. I am a supervisor in the Systems Biology Doctoral Training Centre and in the MSc program in Mathematical Modelling and Scientific Computing.

Research Interests

I am an applied mathematician. The key goals of my research are the development, analysis and application of mathematical and computational techniques for a broad range of biological, chemical and physical problems. The areas I have worked on to date include bacterial and amoeboid chemotaxis, stochastic modelling of reaction-diffusion processes, mathematical fluid dynamics, gene regulatory networks, chemisorption with pharmacological applications, collective behaviour of locusts, stochastic chemical systems involving oscillations, liquid crystals, gene transcription, bioinformatics and data analysis in systems biology.

Selected Publications

Radek Erban and Hans Othmer, "From individual to collective behavior in bacterial chemotaxis", SIAM Journal on Applied Mathematics, 65(2), pp. 361-391 (2004)

Radek Erban, Ioannis Kevrekidis, David Adalsteinsson and Timothy Elston, "Gene regulatory networks: a coarse-grained, equation-free approach to multiscale computation", Journal of Chemical Physics 124(8), 084106 (2006)

Radek Erban and Jonathan Chapman, "Reactive boundary conditions for stochastic simulations of reaction-diffusion processes", Physical Biology 4(1), pp. 16-28 (2007)

Radek Erban, Jonathan Chapman, Ioannis Kevrekidis and Tomas Vejchodsky, "Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model", SIAM Journal on Applied Mathematics 70(3), pp. 984-1016 (2009)

Amit Singer, Radek Erban, Ioannis Kevrekidis and Ronald Coifman, "Detecting the slow
manifold by anisotropic diffusion maps", Proceedings of the National Academy of Sciences (PNAS) 106(38), pp. 16090-16095 (2009)

Radek Erban and Jonathan Chapman, "Stochastic modelling of reaction-diffusion processes: algorithms for bimolecular reactions", Physical Biology 6(4), 046001, 18 pages (2009)

Ruth Baker, Christian Yates and Radek Erban: "From microscopic to macroscopic descriptions of cell migration on growing domains", Bulletin of Mathematical Biology 72(3), pp. 719-762 (2010)

Simon Cotter, Konstantinos Zygalakis, Ioannis Kevrekidis and Radek Erban, "A constrained approach to multiscale stochastic simulation of chemically reacting systems", Journal of Chemical Physics 135, 094102 (2011)

Chuan Xue, Hyung Ju Hwang, Kevin Painter and Radek Erban, "Travelling waves in hyperbolic chemotaxis equations", Bulletin of Mathematical Biology 73(8), pp. 1695-1733 (2011)

Jana Lipkova, Konstantinos Zygalakis, Jonathan Chapman and Radek Erban, "Analysis of Brownian dynamics simulations of reversible bimolecular reactions", SIAM Journal on Applied Mathematics 71(3), pp. 714-730 (2011)

Other publications and preprints can be found on http://people.maths.ox.ac.uk/erban

E-mail

erban@maths.ox.ac.uk

Links

http://people.maths.ox.ac.uk/erban