Supported by the grant 09.3.3-LMT-K-712-17-003 Multiscale Mathematical and Computer Modeling for Flows in Networks: Application to Treatment of Cardiovascular Diseases 

Multiscale Modeling and Methods: Application in Engineering, Biology and Medicine

 Portorož, Slovenia, 20 - 26 June 2021

The multiscale analysis of heterogeneous structures is actually an important and effec-tive tool of mathematical modeling in physics, technique and biology. The mathematical theory on the up-scaling (passage from micro-scale to the macro-scale) called homogeni-zation appeared in early seventies of the XXth century independently in France, Italy, USA and USSR. Although since then the homogenization theory has been considerably developed and generalized, there are still open problems in constructing realistic models of new materials and engineering structures, biological processes, especially combining different scales or discrete and continuous approaches.

The meeting is the tenth event in the set of yearly-organized international conferences on the multiscale methods and modeling.  The first three, the sixth and the ninth were held in the University of Saint-Etienne, France. The fourth and the fifth were held in Moscow, in the Institute of Numerical Mathematics of Russian Academy of Sciences (RAS) in Octo-ber 2014 and at the Bauman Moscow State Technical University in June 2015. Both were organized in the frame of the thematic year on the multiscale methods and model-ing in biology and medicine organized by the Russian-French laboratory J.-V.Poncelet. The seventh and the eighth were held in the frame of the thematic year on the multiscale modeling in biology held in the University of Chile and organized by the French-Chilian laboratory CMM (Center for Mathematical Modeling). The tenth edition will be held as a satellite minisymposium of the ECM-8 (Portoroz, Slovenia).

The meeting is devoted to an important trend in mathematical modeling, the multiscale methods and its applications in engineering and biology. Such methods combine micro-scopic and macroscopic descriptions of the phenomena and are usually based on as-ymptotic and numerical analysis of the microscopic model equations. The application of these methods allows constructing new materials with given properties, creating new more adequate and more precise models in biology and medicine. 

The meeting will bring together the well-known specialists in the topic and young re-searchers and students.  The theoretical results on the mathematical analysis of mul-tiscale models will be presented together with the numerical and computer experiments.  

Organizers:

G.Panasenko, Univerity Jean Monnet, France and Vilnius University, Lithuania
K.Pileckas, Vilnius University, Lithuania

More information could be find here.