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Stochastic dynamical systems in biology: numerical methods and applications

Participation in INI programmes is by invitation only. Anyone wishing to apply to participate in the associated workshop(s) should use the relevant workshop application form.

4th January 2016 to 24th June 2016
Konstantinos Zygalakis
Radek Erban
David Holcman CNRS - Ecole Normale Superieure Paris, University of Cambridge
Samuel Isaacson

Scientific Advisory Committee: Timothy Elston (UNC Chapel Hill), Hans Othmer (Minnesota), Linda Petzold (UC Santa Barbara) and Per Lötstedt (Uppsala)

Programme Theme

In the past decades, quantitative biology has been driven by new modelling-based stochastic dynamical systems and partial differential equations. Examples from gene regulation, molecular signalling, cell division and molecular transport, as recently revealed by live cell images, have shown that many processes in cells and in molecular biology are inherently driven by stochastic events. One of the biggest challenges we propose to address in this programme is to develop methods and analysis, as well as efficient algorithms for simulations, to bridge the range of different biological scales. In support of this goal, the programme will focus on

  • Analysis of stochastic dynamical systems and applications in molecular and cellular biology.
  • Development of efficient computational methods for simulating stochastic equations over various scales.
  • Identifying new research areas.

In particular, three interlinked focus areas will run throughout the programme:

  1. Analysis, computation and development of non-spatial (well mixed) models.
  2. Analysis, computation and development of spatio-temporal reaction-diffusion models, including Brownian dynamics and compartment-based simulations (reaction-diffusion master equation).
  3. Multiscale methods.

The programme will feature an opening, midterm and closing workshop at the Isaac Newton Institute, as well as a Satellite Meeting.

Fellowships are available to partially cover travel costs for some junior US participants thanks to a grant from the NSF. Further Information.


This programme is supported by

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons