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SUMMARY:Approaches to Multiscale Modelling of Complex Systems - Harold Fel
 lerman\, University of Southern Denmark
DTSTART:20120320T100000Z
DTEND:20120320T110000Z
UID:TALK37039@talks.cam.ac.uk
CONTACT:Microsoft Research Cambridge Talks Admins
DESCRIPTION:Mathematical modelling requires the researcher to decide upon 
 an appropriate system description regarding the number of states and proce
 sses as well as their spatial and temporal resolution. Complex systems are
  especially reluctant to such formalization as they typically display beha
 viour over several length and time scales. For those systems\, detailed sp
 atially resolved models are often able to accurately capture the interacti
 ons of system constituents. Yet\, the microscopic models often give only f
 ew insights into dynamics on the actual level of interest\, either because
  the latter is computationally out of reach\, or because simulation result
 s present themselves in undesired complexity. On the other hand\, more abs
 tract phenomenological models that operate directly on the level of intere
 st are computationally inexpensive and amend themselves to clear analysis\
 , but come to the price of introducing ad-hoc assumptions. Therefore\, it 
 is desirable to combine both approaches in ways that minimize computationa
 l efford while still minimizing the introduction of phenomenological assum
 ptions.\n\nThis talk presents approaches to multiscale modelling with exam
 ples from physical chemistry\, systems biology\, and ecology\, where spati
 ally resolved microscale models -- such as particle based simulations of s
 ingle molecules in a supramolecular aggregate\, or gap models of individua
 l trees in a forest -- are compared to phenomenological models that operat
 e on average states or distributions. Besides mere comparison of model res
 ults\, the talk presents methodologies to integrate microscale and macrosc
 ale simulations into true multiscale simulation frameworks. This is achiev
 ed by model renormalization and dimensional reduction techniques. It is sh
 own how such model comparison and integration\, in combination with data a
 nalysis\, can greatly improve our understanding of complex systems.
LOCATION:Large lecture theatre\, Microsoft Research Ltd\, 7 J J Thomson Av
 enue (Off Madingley Road)\, Cambridge
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