ANALYTICAL VALIDATION OF THE BEM - APPLICATION OF THE BEM TO THE ELECTROCARDIOGRAPHIC FORWARD AND INVERSE PROBLEM

Citation
G. Fischer et al., ANALYTICAL VALIDATION OF THE BEM - APPLICATION OF THE BEM TO THE ELECTROCARDIOGRAPHIC FORWARD AND INVERSE PROBLEM, Computer methods and programs in biomedicine, 55(2), 1998, pp. 99-106
Citations number
15
Categorie Soggetti
Computer Science Interdisciplinary Applications","Computer Science Theory & Methods","Computer Science Interdisciplinary Applications","Engineering, Biomedical","Medical Informatics
ISSN journal
01692607
Volume
55
Issue
2
Year of publication
1998
Pages
99 - 106
Database
ISI
SICI code
0169-2607(1998)55:2<99:AVOTB->2.0.ZU;2-X
Abstract
The objective of this study is to analytically validate a boundary ele ment (BE) formulation for the relationship between the transmembrane p otential on the heart's surface and the potential on the body surface applying a concentric spherical test geometry. The relative difference (reldif) between the potential on the outer sphere of the test geomet ry computed analytically and numerically is determined by 3.59% for th e coarse discretization (48 BEs) and by 0.46% in the case of the finer subdivision (192 BEs). In the inverse problem, the transmembrane pote ntial on the inner sphere is estimated numerically from the electric p otential on the outer sphere by using a minimum-norm least-square appr oach. The relative differences found are 20.2% when no measurement noi se is added and 26.4% in the presence of 2% additional Gaussian noise. The BE formulation is also applied to real world data for solving the electrocardiographic inverse problem. A normal volunteer's inhomogene ous thorax (outer thorax surface, surfaces of the lungs, epicardial he art surface) is modelled by 424 BEs. The same inverse method is then a pplied in order to reconstruct the transmembrane potential on the epic ardium from the measured body surface potential (BSP) data during norm al ventricular depolarisation. (C) 1998 Elsevier Science Ireland Ltd. All rights reserved.