Analytical RVE theory of dispersed structures and its application

Abstract

This talk introduces an approach inspired by structural sums, which describes the interactions among inclusions of dispersed heterogeneous media. The structural sums serve as the cornerstone for mathematical models of random structures within the framework of the analytical Representative Volume Element (aRVE) theory. We quantified the inter-phase interactions within media and derived analytical formulas for their macroscopic properties, which can be useful in applications to the diagnosis and classification of glioma structures. Such a classification requires a set of corresponding pictures to develop the corresponding machine learning models, and can be performed together with the specialists in medicine.  

About the author:

Vladimir Mityushev was born in Kazakhstan, and went to the Kolmogorov boarding school in 1975. He studied mathematics at Byelorussian State University, Minsk, and obtained his PhD in 1984. VM has worked in Polish Universities since 1991 and, in 1998-2018, was a Guest Research Professor at Equipe Milieux Poreux et Fractures, Paris VI, France. VM is a leader of the research group Materialica+. Now, he is Professor of the Cracow University of Technology. His expertise lies in the fields of mathematical modeling, computer simulations, porous media, effective properties of composites with deterministic and random structures, representative volume elements, bioinformatics, and industrial mathematics.