摘要:The electroencephalography (EEG) inverse problem consists in finding the
location of a source inside the brain from measurements of the potential
collected via electrodes placed on the scalp. This method provides a
noninvasive technique that would contribute in the treatment of neurological
diseases such as epilepsy. The electric activity in the head is usually
modeled by an elliptic equation with interfaces on a bounded domain with
Cauchy data on the boundary. The source is often assumed to be a dipole
where its location is a parameter of the model. Inspired in the EEG
problem, we define a parametric second order ordinary differential equation
defined on a real bounded interval with an interface where Dirichlet and
interface conditions are imposed. The 1D inverse problem we are interested in
consists in estimating the location of the source from measurements of the
solution near to the endpoint of the interval. In this work sensitivity analysis
is conducted and the impact of the results in the IP for different models for
the source is discussed.