ベクトル心電図の相互変換理論とその実際

概要

論文の詳細を見る
There are so many lead systems of vector-cardiography and their loops vary so much from each other that a great deal of inconvenience arises in the clinical use of vectorcardio-gram (VCG). In order to remove this inconvenience, the author worked out a mutual transformation theory of VCGS based on BURGER'S conception of lead vector to acquire a transformation equation by which a VCG of any lead system could be transformed into a VCG of any other lead system. Mutual Transformarion Theory of VCG When lead vectors of two lead systems A and B are represented by Ai and Bj respectively, the following equation can be induced according to the general principles of vector: A_i=Σ^^3__<j=1>(A←B)<ij>_B_i ( 1 ) The i is 1, 2 or 3 ; A_1 corresponds to the lead vector A^^→_x, A^^→_2 to the one A^^→_y, and A^^→_3 to the one A^^→_z. The same is the case with j. The (A←B)_<ij> is transformation coefficient. Equation ( 1 ) holds good whether A^^→_i; and B^^→_j are orthogonal or oblique respectively. If we get the scalar product of the heart vector H^^→_t at a given moment by the lead vec-tor A^^→_i, there follows the equation below: H^^→_t・A^^→_i=Σ^^3__<j=1>(A←B)_<ij>H^^→_t・B^^→_j (2) H^^→_t・A^^→_i according to the definition of lead vector, represents the potential differences of the scalar electrocardiograms (SECGs) of Lead System A at a given moment, and so is replaced with VA_<it・> In the same way, H^^→_t・B^^→_j is replaced with VB_<it・> Thus, the following equation results from Equation (2) : VA_<it>=Σ^^3__<j=1>(A←B) _<ij>VB_<jt≥ ( 3 ) The transformation coefficients being computable from SECGs, it is prossible to transform the SECGS of Lead System B into that of Lead System A by using Equation (3). When the electric action of the heart is assumed to be caused by an electric dipole, Equation (3) holds good generally.
社団法人日本循環器学会の論文
1967-05-20

ベクトル心電図の相互変換理論とその実際

スポンサーリンク

概要

著者

関連論文

スポンサーリンク