Objective The existing functional imaging techniques for the brain have excellent space resolution, but their time resolution is of the order of 1s, which is too slow for the study of the brain. The only non-invasive techniques with adequate time resolution are magnetoencephalography (MEG) and electroencephalography (EEG). The main reason that MEG is not yet established as an acceptable clinical technique is the lack of uniqueness, namely there exist many currents, which give rise to the same magnetic field.However, it has been recently shown that for the case that the brain can be approximated by a sphere, the current is uniquely determined from the measurements, provided that one assumes that it minimizes the integral of its square. Furthermore, the numerical implementation of the minimizing current has been tested successfully with real data. The basic limitation of the above result is that the brain is not a sphere. A realistic approximation of the brain is provided by a tri-axial ellipsoid and the main objective of the project is to extend the above result from the spherical to ellipsoidal geometry and to take into consideration the cerebrospinal fluid. Mathematical techniques to be used include expansion in terms of ellipsoidal harmonics and the technique of generalized transforms, which has been recently introduced in the literature. Graduate students and young researchers will be trained on these topics. Fields of science natural sciencesmathematicspure mathematicsmathematical analysisnatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicsapplied mathematicsmathematical model Keywords Magnetoencephalography Programme(s) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Topic(s) MOBILITY-3.3 - Marie Curie Chairs (EXC) Call for proposal FP6-2004-MOBILITY-10 See other projects for this call Funding Scheme SCF - Marie Curie actions-Series of events Coordinator THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE EU contribution No data Address The Old Schools, Trinity Lane CAMBRIDGE United Kingdom See on map Links Website Opens in new window Total cost No data
