Abstract
The arterial blood pressure and the rate of volume pulsations were measured experimentally as functions of time for a segment of the human arm. Using these curves and a type of identification program, common in control engineering, a mathematical model was calculated for the arterial tree included in the segment. This mathematical model led to the construction of an electrical analogue circuit for simulating the time-dependence of the rate of volume pulsations on the arterial pressure. In both cases the results show a close agreement between the simulated curves and the physiological curves determined experimentally. The inertia of blood and vessels is shown to be negligible, while non-linear compliances must be included when dealing with wide pressure ranges.
Sommaire
La pression du sang artériel et la proportion de pulsations du volume ont été mésurées expérimentalement comme fonctions de temps, pour un segment du bras humain. En utilisant ces courbes et un type de programme d'identification, commun dans les vérifications techniques, on a calculé un modèle mathématique pour l'arbre artériel inclu dans le segment. Ce modèle mathématique mena à la construction d'un circuit électrique analogue, pour simuler la dépendance du temps de la proportion de pulsations du volume sur la pression artérielle. Dans les deux cas les résultats montrent un accord étroit entre les courbes simulées et les courbes physiologiques déterminées expérimentalement. L'inertie du sang et des vaisseaux paraît être négligeable, tandis que les adaptations non-linéaires doivent être inclues quand on utilise des vastes rangées de pression.
Zusammenfassung
Der Arterienblutdruck und die Geschwindigkeit des Volumenpulsierens wurden experimentell für ein Segment des menschlichen Arms als Funktionen der Zeit gemessen. Unter verwendung dieser Kurven und einer Art von Identifizierungsprogramm, das in der Regeltechnik üblich ist, wurde ein mathematisches Modell für den, in das Segment eingeschlossenen Arterienbaum berechnet. Dieses mathematische Modell führte zu dem Entwurf einer analogen elektrischen Schaltung zur Nachahmung der zeitlichen Abhängigkeit der Geschwindigkeit des Raumpulsierens von dem Arteriendruck. In beiden Fällen geben die Resultate eine naheliegende Übereinstimmung zwischen den nachgeahmten Kurven und den experimentell ermittelten, physiologischen Kurven. Es wird gezeigt, dass die Trägheit von Blut und Gefässen unbedeutend ist, während nicht-lineare Nachgiebigkeit berücksichtigt werden muss, wenn es sich um grosse Druckbereiche handelt.
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Karlsson, H.G., Jonson, B. & Nilsén, R. Numerical analysis of pressure and flow pulsations in a segment of the arterial tree. Med. & biol. Engng. 9, 431–445 (1971). https://doi.org/10.1007/BF02474702
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DOI: https://doi.org/10.1007/BF02474702