Address:Institute for Applied Mathematics and Numerical Analysis
Vienna University of Technology
Wiedner Hauptstr. 8-10
A-1040 Wien, Austria
Telephone: (0043-1) 58801 115 38
Fax: (0043-1) 58801 115 99
Email: yasmin.dolak@tuwien.ac.at
WWW: http://stud4.tuwien.ac.at/~e9526063/
Advisor: C. Schmeiser
Co-advisor: P. Markowich
Research:
My area of research is Mathematical Biology, in particular the mathematical modeling of chemotaxis, i.e. the oriented movement of microorganisms towards or away from chemical gradients. I'm working mainly on kinetic models for chemotaxis and their macroscopic limits. This approach allows to incorporate information about the individual behaviour of cells directly into a continuum model. I'm specially interested in the behaviour of eukaryotic organisms like slime molds or leukocytes. With these cells, random movement seems to play only a minor role, and taxis is the dominating process in cell motion. This can lead to advection-dominated chemotaxis models, which I am currently investigating.
Activities:
July 2002: Talk at the ESMTB Conference in Milan, Italy
December 2002: Stay at the University of Alberta in Edmonton, Canada
February 2003: Talk at the AMAM in Nice, France
March 2003: Talk at the Université de Nice Sophia-Antipolis in Nice, France
May 2003: Talk at the SMC Workshop at the University of Maryland, USA
Juli 2003: Stay at the Eberhardt-Karls University in T|bingen, Germany
September 2003: Talk at the meeting of the Austrian Mathematical Society in Bolzano, Italy
October 2003: Talk at the Oberseminar Nichtlineare Analysis at the University of Cologne, Germany
December 2003: Seminar talk at the Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany
Publications:
Y. Dolak and T. Hillen: Cattaneo Models for Chemotaxis: Numerical Solution and Pattern Formation.
J. Math. Biol. 46 (2003) 2, 153-170.
Y. Dolak and C. Schmeiser: A kinetic theory approach to resolving the chemotactic wave paradox (Conference Proceeding).
Mathematical Modelling & Computing in Biology and Medicine (V. Capasso Ed.), ESCULAPIO Pub. Co., Bologna, 2003.
Y. Dolak and C. Schmeiser: Kinetic models for chemotaxis: Hydrodynamic limits and the back-of-the-wave problem.
ANUM Preprint 5/03.
Waves of the chemoattractant cAMP produced by Dictyostelium cells