Inverse problem in geometrical modeling of the sources of medical signals

Some applications of geometrical modeling for biomedical signal processing are discussed. A new model of the heart nervous conductive system, used previously for the direct electrogram problem, is used now to solve the inverse problem. Geometrical modeling can give an approximate estimation of the source position and strength, even if the available amount of data is not sufficient for a correct mathematical solution. It can be useful in ECG and EEG inverse problems as well as in creating a model of human torso with non-uniform conductivity.

[1]  Theo C. Pilkington,et al.  The Use of Time Dependent Models in Inverse Electrocardiography , 1974 .

[2]  Steve M. Collins,et al.  Orthogonal Surface Lead Recordings of His-Purkinje Activity: Comparison of Actual and Simulated Waveforms , 1983, IEEE Transactions on Biomedical Engineering.

[3]  R C Barr,et al.  An inverse electrocardiographic solution with an ON-OFF model. , 1970, IEEE transactions on bio-medical engineering.

[4]  D. Christensen,et al.  Biosensor development at the University of Utah , 1994, IEEE Engineering in Medicine and Biology Magazine.

[5]  B J Scherlag,et al.  Catheter Technique for Recording His Bundle Activity in Man , 1969, Circulation.

[6]  A. Furness,et al.  The feasibility of detecting His-bundle activity from the body surface. , 1975, Cardiovascular research.

[7]  T. Musha,et al.  Three-Dimensional Simulation of the Ventricular Depolarization and Repolarization Processes and Body Surface Potentials: Nornal Heart and Bundle Branch Block , 1987, IEEE Transactions on Biomedical Engineering.

[8]  A. Guyton,et al.  Textbook of Medical Physiology , 1961 .

[9]  R. Barr,et al.  Computer simulations of activation in an anatomically based model of the human ventricular conduction system , 1991, IEEE Transactions on Biomedical Engineering.

[10]  R. Barr,et al.  Inverse Calculation of QRS‐T Epicardial Potentials from Body Surface Potential Distributions for Normal and Ectopic Beats in the Intact Dog , 1978, Circulation research.

[11]  Robert Plonsey,et al.  Quantitative Formulations of Electrophysiological Sources of Potential Fields in Volume Conductors , 1984, IEEE Transactions on Biomedical Engineering.

[12]  D. Geselowitz.  On bioelectric potentials in an inhomogeneous volume conductor. , 1967, Biophysical journal.