Difference equation model of the entrainment of myocardial pacemaker cells based on the phase response curve

DOI10.1007/BF00336729zbMath0481.92005OpenAlexW2027229267WikidataQ52435572 ScholiaQ52435572MaRDI QIDQ1162464

Toshiro Sato, Harukazu Tsuruta, Noriaki Ikeda

Publication date: 1981

Published in: Biological Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00336729

zbMATH Keywords

existence of periodic solutionsbiological oscillationscardiac arrhythmiasmodel of ventricular parasystoles

Mathematics Subject Classification ID

Medical applications (general) (92C50) Additive difference equations (39A10) Physiological, cellular and medical topics (92Cxx)

Related Items (7)

Universality and self-similarity in the bifurcations of circle maps ⋮ Entrainment in pacemakers characterized by a V-shaped PRC ⋮ On the relationship between two models of neural entrainment ⋮ Pulse sequences generated by a degenerate analog neuron model ⋮ Integrate and fire model with refractory period for synchronization of two cardiomyocytes ⋮ Model of bidirectional interaction between myocardial pacemakers based on the phase response curve ⋮ Global bifurcations of a periodically forced nonlinear oscillator

Cites Work

• Response characteristics of a neuron model to a periodic input
• On a response characteristic of a mathematical neuron model
• Mathematical properties of responses of a neuron model

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