Sensitivity Computations for Elliptic Equations with Interfaces
نویسندگان
چکیده
In this paper we consider an inverse problem motivated by the use of electroencephalogram (EEG) data to estimate the location and strength of a neural activity in brain tissue. This problem leads to a Poisson type equation with interfaces where the source of activity is described by a model whose parameters must be estimated. Much of the work in this is based on modelling the source as a “dipole” and least square or maximum likelihood estimators are used to identify the parameters. In this paper we present a simple model to illustrate some of the theoretical and numerical issues associated with computing sensitivities for problems of this type.
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تاریخ انتشار 2006