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AMCS Graduate Seminar| Mathematical models for population dynamics

Start Date: April 20, 2017
End Date: April 20, 2017

By Professor Alexander Lorz (KAUST)
 
We are interested in the Darwinian evolution of a population structured by a phenotypic trait. In the model, this trait can change via mutations and individuals in the population compete for a common resource, e.g., nutrients. A mathematical model capturing these phenomena can be described by non-local Lotka-Volterra equations. These have the property that solutions concentrate as Dirac masses in the limit of small mutations. We review results on long-term asymptotics, small mutation limits and show connections to free-boundary problems. Such models can aid in quantitatively understanding the emergence and development of resistance. For example, in cancer therapy, cells in the population are structured by their resistance levels to therapy. We give results on these extensions and discuss optimal control problems arising in this context. Moreover, we expand the model to incorporate heterogeneity.
 
Biography: Alexander Lorz obtained his Ph.D. in applied mathematics from the University of Cambridge in 2011. After a postdoc at École normale supérieure de Cachan and at Université Pierre et Marie Curie (Paris 6), he became assistant professor at Université Pierre et Marie Curie in 2013. He is currently spending a sabbatical from Paris 6 as visiting faculty at the CEMSE division. His primary research interests lie in mathematical biology.
 

More Information:

For more info contact: Professor Alexander Lorz: email: alexander.lorz.1@kaust.edu.sa
 
Date: Thursday 20th Apr 2017
Time:12:00 PM - 01:00 PM
Location: Building 9, Hall 1
Refreshments: Light Lunch will be available at 11:45 AM