[Alumnos-ii-cs] Coloquio JUEVES 11 de octubre: The role of PDEs and integro - differential equations in biomedical and materials models

[Carlos Buil]

Estimada Comunidad,

el próximo JUEVES Maria Emelianenko nos presentará una charla titulada The role of PDEs and integro - differential equations in  biomedical  and materials models.

El coloquio será a las 12:00 en la sala F106 del campus Casa Central.

Saludos

El comité de coloquios

Resumen
The talk will survey some recent theoretical developments in the realm of   random   walks   and   generalized   master   equations,   and   draw connections between their materials science and biomedical applications. In  particular,  the  presentation  will  focus  on:  (1)  recent  advances in modeling coarsening of materials microstructures, where distributions of misorientations,  their  steady-states  and  their  time  evolution  may  be inferred from generalized master equations, and (2) new applications of this  theory  to  malaria  transmission  problem,  where  antibody  levels  in blood  may  be  modeled  via  a  similar  continuous  time  jump  process, presenting new pathways for understanding disease progression. Results of numerical experiments will be provided to demonstrate the use of this methodology in both contexts.

Mini Bio
Dr. Emelianenko is  a  Professor at  the  Department  of Mathematical   Sciences,   at George   Mason   University, Fairfax,  VA, USA. She  obtained  her  Ph.D.  degree  from Pennsylvania State  University,  University  Park,  PA, in Mathematics with a Minor in High Performance Computing. She  has  had  several  Visiting  Positions,  which  include: University  of  California  Los  Angeles,  IPAM,  Los  Angeles, CA;  Park  City  Mathematics  Institute,  Park  City,  UT;  and Institute  for  Advanced  Study,  Princeton,  NJ. She has served as Dean’s Fellow of the College of Science at George Mason University. Her research interests include Numerical methods and applied PDE, modeling of nonlinear systems, multigrid  methods,  optimization,  stochastic  processes, applications to materials science, physics and biology. More details on: http://math.gmu.edu/~memelian/index.html