Abstract
An electronic model comprising a number of coupled Hodgkin-Huxley type nonlinear oscillators is described. The individual oscillator units are based on a simplified version of an analogue of the Hodgkin-Huxley squid axon membrane due to Roy (1972). The electronic model is capable of reproducing physiological phenomena such as ‘waxing and waning’ and frequency entrainment which have been observed in electrical recordings from the mammalian digestive tract. With reactive intercoupling components the model is shown to produce inphase and antiphase entrainment together with nonresonant dual mode oscillations. A number of results from this model are presented and the advantages of this approach over simpler coupled van der Pol oscillator models are discussed.
Sommaire
Il décrit un modèle électronique comprenant plusieurs oscillateurs non-linéaires combinés de type Hodgkin-Huxley. L'oscillateur individuel est basé sur une version simplifiée semblable à celle de la membrane axon due système quantique d'interférences à supraconduction de Hodgkin-Huxley, due à Roy (1972). Le modèle électronique est capable de reproduire des phénomènes physiologiques tels ‘ceux d'accroissement et de décroissement’, ainsi que l'entraînement de fréquence, qui ont été observés lors d'enregistrements électriques du faisceau digestif mammifère. Avec des composants d'accouplement réactifs, le modèle produit à la fois un entraïnement phasé et en opposition de phase, et des oscillations non-sonores, de mode double. De nombreux résultats de ce modèle sont maintenant offerts, et on étudie à présent les avantages de cette méthode par rapport à celle des oscillateurs combinés plus simples de Van der Pol.
Zusammenfassung
Es wird ein aus einer Anzahl gekoppelter, nicht linearer Oszillatoren bestehendes, elektronisches Modell der Hodgkin-Huxley-Type beschrieben. Die enzelnen Oszillatoren basieren auf einer vereinfachten Version eines Analogmodells der Hodgkin-Huxley-Neurazonsmembrane des Quanteninterferometers laut Roy (1972). Das elektronische Modell besitzt die Fähigkeit, physiologische Phenomene wie z.B. ‘Zunehmen’ und ‘Abnehmen’ und Frequenzentrainment, die in den elektrischen Aufzeichnungen des Verdauungstrakts von Säugetieren beobachtet wurden, zu reproduzieren. Das Modell kam mit reaktiven, zusammengekoppelten Komponenten In-Phasenund Anti-Phasen-Entrainments zusammen mit nicht-resonanten, doppelten Oszillationen erzeugen. Einige der Resultate dieses Modells werden dargestellt, und der Vorteil dieser Methode gegenüber den einfacher gekoppelten Oszillator-Modellen van der Pols werden disktiert.
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Patton, R.J., Linkens, D.A. Hodgkin-Huxley type electronic modelling of gastrointestinal electrical activity. Med. Biol. Eng. Comput. 16, 195–202 (1978). https://doi.org/10.1007/BF02451921
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DOI: https://doi.org/10.1007/BF02451921