El Departamento de Informática de la Universidad Técnica Federico Santa María tiene el agrado de invitar a la Comunidad Universitaria a una nueva charla en su Ciclo de Coloquios 2018. Esta presentación se realizará en el Auditorio Claudio Matamoros (F-106), Casa Central, Valparaíso, UTFSM.

Este próximo jueves 11 de octubre, Maria Emelianenko, Profesora, Department of Mathematical Sciences at George Mason University, Fairfax, VA, USA, nos presentará la charla titulada "The role of PDEs and integro - differential equations in biomedical and materials models."

¡Quedan todos cordialmente invitados!

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.