Group name: PDEs in the Life Sciences
Other staff members
involved: R. Planque
(mathematical modelling), Joke Blom,
Jason Frank,
Johannes Krottje, Nga Pham Thi, Ben Sommeijer, Jan Verwer (all
scientific
computing)
Location: Centrum voor Wiskunde en Informatica,
Amsterdam
Web page: http://www.cwi.nl/projects/pdels
E-Mail: peletier@cwi.nl
Phone: +31 20 592 4226 (fax +31 20 592 4199)
Relevant research
interests:
Our group focuses on
numerical and theoretical analysis of partial differential equations, with an
eye on applications in the life sciences. On the numerical side we place the
emphasis on methods that are adaptive in both space and time, allowing us to
handle systems with strong spatial gradients and stiff time
discretizations. Simultaneously we use
and develop theoretical methods to gain qualitative and quantitative
understanding of the systems involved.
Current system
biology activities:
* Relation between diffusive gradients, metabolic control analysis, andsignal transport (with the Westerhoff group and Kholodenko)
* Axonal growth cones: relation between local rules and resulting axonal connections (bundling and debundling) (with Van Pelt and Van Ooijen)
* Continuum models for lipid bilayers
* Integration of modularity, adaptive simplification, and local particle descriptions into PDE-based simulations (with Kaandorp, Van Schuppen, and the Westerhoff group)
Relevant collaborations (see above):
Representative
publications (possibly links to pdf files):
B. Lastdrager, Numerical solution of mixed gradient-diffusion equations modelling axon
growth, Technical
Report MAS-R0203 Centrum voor Wiskunde en Informatica, P.O. Box
94079, 1090 GB AMsterdam, The Netherlands, January 2002.
Christof Francke, Pieter W. Postma, Hans V. Westerhoff, Joke G. Blom, and Mark A. Peletier, Why the Phosphotransferase System of Escherichia coli Escapes the Diffusion
Limitation of Signal Transduction, Transport and Metabolism that Confronts Mammalian Cells, CWI Report MAS-R0218 Accepted for publication in Biophys. J.
M.A. Peletier, H.V. Westerhoff, and B.N. Kholodenko, Control of Spatially Heterogeneous
and Time-varying Cellular Reaction Networks: A New Summation Law, CWI Report MAS-R0226 Submitted to Biophys. J.
J.G. Blom and M.A. Peletier, A continuum model of lipid bilayers CWI Report MAS-R0229
Submitted to Euro. Jnl of Applied Mathematics.