EITAG is a research project that describes a method (Electrical impedance tomography) to determine the conductivity in a field by measuring the electric current at the edge thanks to an applied electric voltage.
It is a powerful method in medical imaging since the conductivity of breast cancer or aneurysm for example is very different from that of normal tissue. This makes it possible to discover such diseases without invasive techniques and without exposing the patient to radiation that could affect his health.
EIT is also applied in geology to discover petroleum, in the analysis of materials without destructive evaluation of parts etc. So far, this technique has lacked resolution for modern medical applications. Mathematically EIT is an inverse problem; it is a question of determining the conductivity inside the considered domain, for example the torso of a patient, by the dependence of the electric current on the tension, then of the application Dirichlet towards Neumann (DN).
In general, this is just possible by determining the DN application for several frequencies. The reconstruction of the conductivity is carried out numerically by a mathematical problem called D-bar.
The goal of this project is to develop a comprehensive numerical approach with exponential precision for EIT, including realistically simulating ghosts and detectors.
This project is held by IMB (C Klein firstname.lastname@example.org) and is supported by the Bourgogne Franche-Comté region, the National Research Agency (ANR) and the European Union:
One Post-Doc position is open for this project. To apply please contact directly by email Christian Klein.