Inverse Problem Innovations
Solutions of the general inverse problem have undergone a rapid development
in
the past decade. Currently, most source localisation schemes have been
developed assuming simple physical behaviour for the materials surrounding
the source. Likewise, only a plain and unconstrained model of the sources has
been used.
The SimBio approach enables us to incorporate advanced material knowledge by
exploiting the flexibility of the finite element method.
This has also a strong influence on the inverse problem techniques and
thus necessitates the further development of inverse solution methods.
As a result of this project, we will present a tool-set of optimisation and
reconstruction algorithms for inverse problems tuned for the joint use with
the improved material modelling.
For the electromagnetic test application, a pre-surgical source diagnosis
under inclusion of the individual conductivity properties can be calculated
in an acceptable time (around one day). Though current, less accurate
simulations can already be performed within such time-scales, it is obvious
that the expected increase in the accuracy of the pre-surgical source
localisation through the modelling achieved with the SimBio innovations is
of high medical relevance.