[c]
Registration: free
To register, please email i2m  maths.leeds.ac.uk
Information
Programme
- 09:30
Alan Melcher
Immunogenic oncolytic viruses for the treatment of cancer
- 10:30
A multidisciplinary approach towards understanding receptor-ligand interactions in human health and disease
-
11:30-12:00 coffee
- 12:00
Alexander Scheffold
Antigen specific Cytometry: from research to clinical application
-
13:00-14:00 lunch provided
- 14:00
Interleukin-7, an elixir of mouse lymphocytes; but how does it work?
- 15:00
-
Eric Van Doorn (University of Twente)
Quasi-stationary distributions
In many application areas requiring stochastic modelling techniques one encounters
systems that in some sense terminate, but long before termination seem to settle
down to a stationary regime. In such systems the time-scale for the time to
termination is substantially larger than that for the approach to ``quasi''
equilibrium. Therefore this ``quasi'' equilibrium is usually described by the
limit as time goes to infinity (in an appropriate stochastic model) of the
distribution of the state of the system conditional on non-termination. Since
Markov chains constitute the predominant tool for modelling stochastic systems of
this type, one would like to be able to establish for an arbitrary Markov chain,
given the basic parameters of the chain, whether such a limiting conditional
distribution -- or quasi-stationary distribution -- exists, and, if it
exists, what it looks like. In the talk some aspects of these problems will be
discussed.
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