層對電説知見補遺 : 各期の理論式について

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As an excellent theory related to electrocardiogram, there has developed the "Chain-Doublet Theory" of Maekawa in Japan. This theory, established by Maekawa and his coworkers yet leaves many problems to be discussed in detail. Some discussions about "Chain-Doublet Theory" are undertaken in this paper. In the "Chain-Doublet Theory", the electrocardiographic tracing is analysed in three separate stages: 1) spreading stadium of excitation, 2) continuous stadium of excitation and 3) diastolic stadium. The theoretic formulae representing the tracings of these three stadia were introduced by Hayase from equivalent circuit as follows. 1).Spreading stadium of excitation [numerical formula] (1) 2).Continuous stadium of excitation [numerical formula] (2) 3).Diastolic stadium. [numerical formula] (3) (φ(t); potential variation in tissue membrane, Φ(t); potential variation at given point out of tissue membrane. A=C-mR, B=(1+R/(R_m)), C_m; electric capacitance of tissue membrane, R_m; electric resistance of tissue membrane, R; electric resistance of volume conductor, φ(t)_<s→α>; value of φ(t)_s at the end of spreading stadium) These formulae are not applicable to obtain the potential variation of given point on body surface, while the electrical phenomena of heart are generated in three dimentional area. But in a certain current circuit we can suppose the presence of such equivalent circuit as the one shown by Hayase. When we trace these three formulae, we will find that the postulation of these formulae is contradictory in that the luci are all independent from one another and are interruptted between any two stadia. This contradiction can be attributed to the fact that the subject was not treated as the electrical transient phenomenon. Among these three equations, the equation (1) is right because it starts from zero-point. But equation (2) must be corrected as follows, [numerical formula] (2') where V_<m1> is the potential drop due to the impeadance of tissue membrane at time t_1, t is the time interval from t_1 to a given instant. After a certain value of t, φ(t)_<S→α> takes a constant value φ(t)_<s→α>(1-1/B). If we accept the assumption of Hayase that the electrical moment disappears rapidly following formula φ(t)_<s→α^ℓ>^<νt> after the time t_2 equation (3) must be corrected as follows [numerical formula] (3') where V_<m2> is the potential drop due to membrane impeadance at time t_2, and t is the time interval from t_2 to a given instant. From these three corrected equations we can obtain a continued curve from beginning to end. But the potential valiation in diastolic stadium may not be so simple as represented by equation (3'). The fact that the QT interval is easily changed by warming or cooling the heart suggests that in diastolic stadium disappear the dipoles gradually in order like in spreading stadium of excitation. So when we note the potential variation in tissue membrane φ(t)_d as a common formula, the equation (3') must be corrected as follows. [numerical formula] (3'')
社団法人日本循環器学会の論文
1954-03-20

層對電説知見補遺 : 各期の理論式について

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