Special Semester on Quantitative Biology analyzed by Mathematical Methods
Linz, October 1, 2007 - January 27, 2008
Events: Workshop on
Ion Channels|Systems Biology|Bioimaging I|Bioimaging II/PDEs|Biomechanics and Chemotaxis|Pattern Formation and Functional Morphology
Workshop on Biomechanics and Chemotaxis, December 10 - 14, 2007


Ulrich Langer, RICAM & University of Linz, Austria
Peter Markowich, RICAM & University of Vienna, Austria
Christian Schmeiser, RICAM & University of Vienna, Austria

Workshop Abstract

Many fundamental processes in our body depend on the ability of cells to migrate - examples range from embryogenesis and wound healing to the response of our immune system to infections or the generation of new blood vessels. The crawling motion of cells has first systematically been described more than two decades ago and, since then, it has become a field of intensive research. Especially in the last years, the development of new experimental methods and tools has allowed to gain new insights into the biological, chemical and mechanical nature of cell migration. However, due to the complexity of the processes involved, biologists are still far away from having a complete picture of how cells move. During the special semester we want to use mathematical modelling in an interdisciplinary fashion for getting a deeper understanding of the observed biological phenomena as well as for providing tools to test different hypotheses and theories formulated by experimentalists. In particular, there will be a focus on the intracellular biomechanical effects and their interplay with the intracellular biochemistry and with the mechanical properties of the environment. One emphasis will be on a mechanical description of the dynamics of the cytoskeleton, in particular the growth, decay, and mechanical response of polymer networks. Experiments elucidating the exact structure of the cytoskeleton will be analyzed as well as experiments on the behaviour of living, crawling cells.

Modelling and simulation of chemotaxis is a success story of Mathematical Biology. On the one hand, prototypical mathematical models like the Keller-Segel model have been investigated thoroughly with many exciting mathematical results. On the other hand, an ongoing modelling effort deals with the incorporation of effects on the individual cell level as well as with alternative transport models for cell ensembles. In the framework of the special semester, the nonlinear interaction between cells caused by long range (signalling) and short range (adhesion) effects and the consequent mathematical difficulties (e.g. blow-up in finite time) will be investigated. Furthermore, quantitatively accurate models for applications such as immune response, vasculogenesis, embryogenesis will be derived and analysed. The multiscale (cell vs. ensemble scale) nature will be crucial both from an analysis and from a numerical point of view. We plan to establish an interaction with experimental biologists, leading to experiment-driven modelling and systematic parameter identification by methods for inverse problems.

Confirmed Speakers

Mark Alber, University of Notre Dame, USA
Keith Anguige, RICAM, Austria
Peter Arbenz, Swiss Federal Institute of Technology, Switzerland
Igor Aronson, Argonne National Laboratory, USA
Piotr Biler, University of Wroclaw, Poland
José Antonio Carrillo, Autonomous University of Barcelona, Spain
Fabio Chalub, Universidade Nova de Lisboa, Portugal
Jon Chapman, Oxford University, UK
Lucilla Corrias, Université d'Evry Val d'Essonne, France
Jean Dolbeault, Université Paris Dauphine, France
Zdenek Dostal, Technical University Ostrava, Czech Republic
Radek Erban, University of Oxford, UK
Jan Haskovec, University of Vienna, Austria
Christian Hellmich, Vienna University of Technology, Austria
Gerhard Holzapfel, Graz University of Technology, Austria
Anita Kettemann, University of Stuttgart, Germany
Axel Klawonn, University of Duisburg-Essen, Germany
Ralf Kornhuber, Free University Berlin, Germany
Martin Kroon, Royal Institute of Technology, Sweden
Svetozar Margenov, Bulgarian Academy of Science, Bulgaria
Peter E. McHugh, National University of Ireland, Ireland
Maya Neytcheva, Department of Information Technology, Sweden
Dietmar Ölz, Vienna University, Austria
Kevin Painter, Heriot-Watt University, UK
Benoit Perthame, Ecole Normale Supérieure, France
Gernot Plank, The Johns Hopkins University, USA
Oliver Sander, Free University Berlin, Germany
Robert Scheichl, University of Bath, UK
Jonas Stĺlhand, Linköping University, Sweden
Triantafyllos Stylianopoulos, University of Minnesota, USA
Christina Surulescu, University of Stuttgart, Germany
Pascal Verdonck, Ghent University Hospital, Belgium
Zhian Wang, University of Alberta, Canada
Christian Wieners, University of Karlsruhe, Germany
Zohar Yosibash, Ben-Gurion University, Israel
Jorge Zubelli, IMPA, Brazil

Time Schedule Workshop on Biomechanics and Chemotaxis

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