OCIAM and NA Group

Stochastic Modelling and Simulation of Biological Processes


MSc in Mathematical Modelling & Scientific Computing

Special Topic
12 lectures TT
Prof K Burrage

  1. This course will address some of the important issues associated with the mod elling and simulation of processes taking place on or inside a biological cell. The following topics will be covered:
    • A brief introduction to important aspects of Molecular Cellular Biology.
    • How noise arises in cellular processes.
    • Intrinsic and Extrinsic noise.
    • Discrete stochastic modelling and simulation through Markov processes.
    • Continuous stochastic modelling and simulation through stochastic differential equations.
    • Trajectorial simulations versus probability density calculations.
    • The role of delays in genetic regulation.
    • Spatial modelling: granular transport versus reaction diffusion equations.
    • Towards multiscale simulation.
  2. Many of these issues will be discussed in the light of a number of case studies.
    • The Hes1 gene as a molecular clock.
    • Cascading reactions: Michaelis-Menten and MAPK.
    • Stochastic switches.
    • Insulin/glucose dynamics.
  3. All simulations to be done in MATLAB.
  4. Additional reading:
    • Computational Cell Biology (Eds. Fall et al.)
    • An introduction to Stochastic Processes with applications to Biology (Linda J.S. Allen)
    • Stochastic Modelling for Systems Biology (D.J. Wilkinson)
  5. Final report to be handed in by Tuesday 13 June 2008.

Timetables | Course Material
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