Statistically Constrained Inverse Electrocardiography

This paper examines the feasibility of utilizing statistical constraints on the inverse potential model to determine the potential distribution over a 4 cm sphere surrounding the heart from perturbed torso potentials. These perturbed torso potentials reflect instrumentation, quadrature, electrode pl...

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Bibliographic Details
Published in:IEEE transactions on biomedical engineering 1975-11, Vol.BME-22 (6), p.487-492
Main Authors: Martin, Richard O., Pilkington, T. C., Morrow, Mary N.
Format: Article
Language:English
Subjects:
Action Potentials
Animals
Covariance matrix
Dogs
Electrocardiography
Electrodes
Geometry
Heart
Heart - physiology
Instruments
Inverse problems
Measurement errors
Models, Biological
Statistics as Topic
Torso
Uncertainty
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Summary:This paper examines the feasibility of utilizing statistical constraints on the inverse potential model to determine the potential distribution over a 4 cm sphere surrounding the heart from perturbed torso potentials. These perturbed torso potentials reflect instrumentation, quadrature, electrode placement, and heart position uncertainties. This work is an extension of the authors' previous work which concluded that it is not feasible to determine this same potential distribution using unconstrained solutions. However, the results of the present work indicate that with the use of approximate signal and noise covariance matrices, it is possible to achieve estimates of this potential distribution with an average sum squared error of twenty-five percent. Further, the estimation of the signal and noise covariance matrices can be accomplished with a knowledge of heart geometry, torso geometry, The approximate measurement error, and a rough estimate of the time an average section of myocardium is depolarized, but without an a priori specification of the activation sequence.
ISSN:0018-9294
1558-2531
DOI:10.1109/TBME.1975.324470