An Approach to an Analysis of the Arterial Pulse Wave I. Oscillations in an Attenuating Line

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Abstract
The Telegraph equations have been used to obtain expressions for the following quantities in an attenuating electric transmission line: 1. the input impedance in terms of the length of an open-circuited line, 2. the modulus of the voltage as a function of the distance along an open-circuited line, 3. the ` apparent phase velocity at a point ' along a line, as a function of the distance from the origin and the nature of the termination, 4. the ` apparent phase velocity over a finite interval ' for the same type of line, 5. the modulus of the reflection coefficient in terms of (4). Numerical examples have been computed for (1)-(4) and are presented. The use of the attenuating electric line as a model in approaching an understanding of the dynamics of the arterial circulation is outlined, and the limitations discussed.
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