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The aim of this volume that presents lectures given at a joint CIME and Banach Center Summer School, is to offer a broad presentation of a class of updated methods providing a mathematical framework for the development of a hierarchy of models of complex systems in the natural sciences, with a special attention to biology and medicine. Mastering complexity implies sharing different tools requiring much higher level of communication between different mathematical and scientific schools, for solving classes of problems of the same nature. Today more than ever, one of the most important challenges derives from the need to bridge parts of a system evolving at different time and space scales, especially with respect to computational affordability. As a result the content has a rather general character; the main role is played by stochastic processes, positive semigroups, asymptotic analysis, kinetic theory, continuum theory, and game theory.
About the author
Jacek Banasiak was born on 15th March 1959 in ¿ód¿, Poland. The current holder of the DSI/NRF SARChI Chair in Mathematical Models and Methods in Biosciences and Bioengineering at the University of Pretoria, he is also a research professor at the ¿ód¿ University of Technology in Poland and a visiting professor at the University of Strathclyde in Glasgow, Scotland. His research interests are nonlocal integro-differential models in kinetic theory, mathematical biology and fragmentation-coagulation theory, asymptotic analysis of multiple scale problems and epidemiological modelling. Up to this point in his career, he has authored/co-authored seven research monographs and over 145 refereed research papers. He is a recipient of the South African Mathematical Society Award for Research Distinction (2012), Cross of Merit (Silver) of the Republic of Poland (2013), 1st prize for the best paper in applied mathematics from the Centre for Applications of Mathematics of Gdäsk (2014), as well as the Minister of Science and Education of the Republic of Poland Award for Scientific Achievements in 2022. He is the Editor-in-Chief of Afrika Matematika (Springer journal) and a member of editorial boards of several other journals.
Summary
The aim of this volume that presents lectures given at a joint CIME and Banach Center Summer School, is to offer a broad presentation of a class of updated methods providing a mathematical framework for the development of a hierarchy of models of complex systems in the natural sciences, with a special attention to biology and medicine. Mastering complexity implies sharing different tools requiring much higher level of communication between different mathematical and scientific schools, for solving classes of problems of the same nature. Today more than ever, one of the most important challenges derives from the need to bridge parts of a system evolving at different time and space scales, especially with respect to computational affordability. As a result the content has a rather general character; the main role is played by stochastic processes, positive semigroups, asymptotic analysis, kinetic theory, continuum theory, and game theory.
