Farid Bozorgnia (Universität Lissabon): Numerical Investigtions of Spatial Segregation Models
Wednesday, 15.06.2016 13:15
Abstract. In this talk, we consider different models of Reaction-Diffusion
system which describe the interactions between biological components. These
Adjacent segregation: The adjacent segregation model has been studied
extensively . In this model particles annihilate on contact, and there
is a common surface of separation.
Segregation at distance: Recently in , the modeling of species that
keep a positive distance is considered.
Coupled Reaction-Diffusion Equations for RNA Interactions .
We review the known results and properties of these models. Then, we show
existence and uniqueness of the solution for each model. Moreover, we use
properties of limiting problem to construct efficient numerical simulations for
elliptic and parabolic systems.