Aggregation - Growth - Fragmentation Phenomena arising in biology
Thursday, June 17 at 02:15am (PDT)Thursday, June 17 at 10:15am (BST)Thursday, June 17 06:15pm (KST)
Magali Tournus (Ecole Centrale Marseille, France), Marie Doumic (INRIA Paris, France), Miguel Escobedo (Universidad del País Vasco, Spain)
Fragmentation, growth and coagulation or aggregation are phenomena that are observed in many biological systems. We can cite among others : cells that grow and divide during mitosis, microtubules that grow via the addition of monomers and divide brutally during what is called a catastrophe, amyloid fibrils that are involved in neurodegenerative diseases and whose growth and division contitute the main propagation strategy. Mathematical models have been proposed to describe a general system of particules that udergo fragmentation, growth and/or coagulation. We aim to gather here specialists of such models. The types of questions that will be raised in this minisymposium are -inverse problems, or how to recover some information on the particles under study (parameter values), -control theory, or how to combat protein aggregation via drug administration. All these questions involve mathematical models of growth, aggregation and fragmentation, and their answers use powerful mathematical tools. Half of the speakers we selected are mathematicians with a deep interest in biological issues and who have tight collaborations with biophysicists or biologists, the other half consists in a theoretical biophysicist, and an experimental biophysicist with a deep understanding of the modern mathematical tools that can be used to extract information from experiments.