Markus Kirkilionis
University of Warwick
Modelling and Numerical Simulation of Cellular Transport and
Reaction Systems
Abstract:
Based on the development of new experimental techniques, mainly imaging
techniques like FRAP and FRET, cellular transport and reaction processes
can be better understood than ever before. Cell biology in general
offers a whole range of such important applications (in the end all life
depends on this complex machinery) which are challenging mathematical
modelling and the performance of existing numerical algorithms. A
specific property of cellular structures are their complicated geometry,
here just called ?Complex Domains?. The complexity of these cellular
domains can now be measured much more accurately with the help of modern
imaging and image analysis techniques. It is tempting to combine methods
from image analysis and numerical simulations in order to get a better
understanding how different molecules, small to large (ions to protein
complexes) distribute and react inside the cell. In one part of the talk
I will explain how cellular reactions can be modelled with newly
developed mathematical tools. Finally numerical methods and simulation
frameworks are discussed for the case when reaction and transport are
considered simultaneously. Especially grid generation and the resolution
limit of micro-structures pose severe problems which will be addressed.
| Datum: | | 15.12.2006 |
Zeit: | | 14.15 |
Ort: | | FU Berlin, Institut für Mathematik II, Arnimallee 6, 14195 Berlin. |
Raum: | | 032 im Erdgeschoss |
