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Neurodegenerative diseases: nice collaboration stories between biologists and mathematician leading to a better understanding of prion and Alzheimer’s disease

Prelegent(ci)
Laurent Pujo-Menjouet
Afiliacja
Université Claude Bernard Lyon 1 France
Termin
9 czerwca 2021 12:15
Informacje na temat wydarzenia
Join Zoom Meeting https://us02web.zoom.us/j/83632151104?pwd=R25GeVZmVS9OWXprWDJBbm9FQ0h3dz09
Seminarium
Seminarium Zakładu Biomatematyki i Teorii Gier

Through the past two decades, a great collaboration started between biologist and mathematicians to understand the complex dynamics of neurodegenerative diseases. During this presentation, 
we will dive into a short overview of the prion and Alzheimer’s disease models  and show how mathematics have been helping to bring light to some unexplained observations. We will deal with 
size structured differential equations with polymerization and fragmentation terms (of Smoluchowski type)),  some hybrid models (continuous in time, discrete in size, of Becker-Döring type)). Finally we will add some diffusion terms to describe the spread of the disease in the brain.