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Relating the multi pole moments of the heart to activated parts of the epi cardium and endo cardium



Relating the multi pole moments of the heart to activated parts of the epi cardium and endo cardium



Annals of Biomedical Engineering 6(4): 492-505



The electrical properties of the heart as the generator of the surface ECG are often described by its multipole moments. While physiological meaning can be ascribed to dipole moment, the physiological interpretation of higher moments (e.g., quadrupole, octopole, etc.) is not clear. The multipole moments of the heart at any instant of its depolarization are related to the depolarized portions of the epicardium and endocardium at that time. The surfaces of the heart are divided into elements. Transfer coefficients between the known multipoles and these elements are defined. The transfer coefficients relate the multipoles and the fraction of depolarized area in each element. For reported cases, 3-8 surface elements were utilized and the dipole, quadrupole, and octopole moments were studied. The physiological characteristics of the activation process are formulated as a quadratic programming problem and it is solved by standard techniques. The first 3 moments of an idealized human heart, the dipole, the quadrupole and the octopole (the latter has not yet been measured), are calculated utilizing known experimental data of the activation of the heart. These moments and the activation data are used for testing the proposed procedures of interpreting multipolar data. From known dipole moments, the depolarized fractions of 3 or 4 elements representing the left ventricular endocardium were calculated. When the quadrupole moments are known, data for the activation of the right ventricle could be calculable. These results are not improved by using octopole moments. The constraints used are valid only for the phase of activation of the ventricles.

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Accession: 006293370

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PMID: 751544


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