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CEMSE Seminar | Population dynamics and therapeutic resistance: mathematical models

Start Date: May 5, 2016
End Date: May 5, 2016

By Dr. Alexander Lorz (KAUST)
 
We are interested in the Darwinian evolution of a population structured by a phenotypic trait. In the model, the trait can change by mutations and individuals compete for a common resource e.g. food. Mathematically, this can be described by non-local Lotka-Volterra equations. They have the property that solutions concentrate as Dirac masses in the limit of small diffusion. We review results on long-term behaviour and small mutation limits.A promising application of these models is that they can help to quantitatively understand how resistances against treatment develop.The population of cells is structured by how resistant they are against a therapy. We describe the model, give first results and discuss optimal control problems arising in this context.


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. Currently he spends a sabbatical from Paris 6 at the CEMSE division in the group of Prof. Peter Markowich. His primary research interests lie in mathematical biology.

More Information:

For more info contact: Dr. Alexander Lorz ; email: alex.lorz@kaust.edu.sa

Date: Thursday 5 May 2016
Time: 12:00 - 13:00

Location: Building 9, Lecture Hall I Room 2322
Brown-bag lunch will be available at 11:45am