FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2013346937> ?p ?o ?g. }

• W2013346937 endingPage "432" @default.
• W2013346937 startingPage "407" @default.
• W2013346937 abstract "We simulate the effect of periodic stimulation on a strand of ventricular muscle by numerically integrating the one-dimensional cable equation using the Beeler-Reuter model to represent the transmembrane currents. As stimulation frequency is increased, the rhythms of synchronization {1:1 → 2:2 → 2:1 → 4:2 → irregular → 3:1 → 6:2 → irregular → 4:1 → 8:2 → … → 1:0} are successively encountered. We show that this sequence of rhythms can be accounted for by considering the response of the strand to premature stimulation. This involves deriving a one-dimensional finite-difference equation or “map” from the response to premature stimulation, and then iterating this map to predict the response to periodic stimulation. There is good quantitative agreement between the results of iteration of the map and the results of the numerical integration of the cable equation. Calculation of the Lyapunov exponent of the map yields a positive value, indicating sensitive dependence on initial conditions (“chaos”), at stimulation frequencies where irregular rhythms are seen in the corresponding numerical cable simulations. The chaotic dynamics occurs via a previously undescribed route, following two period-doubling bifurcations. Bistability (the presence of two different synchronization rhythms at a fixed stimulation frequency) is present both in the simulations and the map. Thus, we have been able to directly reduce consideration of the dynamics of a partial differential equation (which is of infinite dimension) to that of a one-dimensional map, incidentally demonstrating that concepts from the field of non-linear dynamics—such as period-doubling bifurcations, bistability, and chaotic dynamics—can account for the phenomena seen in numerical simulations of the cable equation. Finally, we sketch out how the one-dimensional description can be extended, and point out some implications of our work for the generation of malignant ventricular arrhythmias." @default.
• W2013346937 created "2016-06-24" @default.
• W2013346937 creator A5082049761 @default.
• W2013346937 creator A5090515423 @default.
• W2013346937 date "1990-10-01" @default.
• W2013346937 modified "2023-10-18" @default.
• W2013346937 title "Chaotic dynamics in an ionic model of the propagated cardiac action potential" @default.
• W2013346937 cites W1966877875 @default.
• W2013346937 cites W1967755877 @default.
• W2013346937 cites W1976328531 @default.
• W2013346937 cites W1982792454 @default.
• W2013346937 cites W1984336411 @default.
• W2013346937 cites W1992987522 @default.
• W2013346937 cites W1993191240 @default.
• W2013346937 cites W1993414665 @default.
• W2013346937 cites W1997399108 @default.
• W2013346937 cites W2003085731 @default.
• W2013346937 cites W2004262141 @default.
• W2013346937 cites W2013157031 @default.
• W2013346937 cites W2021879728 @default.
• W2013346937 cites W2021914792 @default.
• W2013346937 cites W2022137393 @default.
• W2013346937 cites W2027558795 @default.
• W2013346937 cites W2034786923 @default.
• W2013346937 cites W2038745622 @default.
• W2013346937 cites W2039729500 @default.
• W2013346937 cites W2046358687 @default.
• W2013346937 cites W2046967078 @default.
• W2013346937 cites W2054905500 @default.
• W2013346937 cites W2060903567 @default.
• W2013346937 cites W2062722190 @default.
• W2013346937 cites W2063952204 @default.
• W2013346937 cites W2065799397 @default.
• W2013346937 cites W2070452180 @default.
• W2013346937 cites W2080094428 @default.
• W2013346937 cites W2087251527 @default.
• W2013346937 cites W2094058963 @default.
• W2013346937 cites W2095377493 @default.
• W2013346937 cites W2102165961 @default.
• W2013346937 cites W2102892532 @default.
• W2013346937 cites W2104844745 @default.
• W2013346937 cites W2117765582 @default.
• W2013346937 cites W2296910884 @default.
• W2013346937 cites W2425662256 @default.
• W2013346937 cites W2442822067 @default.
• W2013346937 doi "https://doi.org/10.1016/s0022-5193(05)80750-7" @default.
• W2013346937 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/2259213" @default.
• W2013346937 hasPublicationYear "1990" @default.
• W2013346937 type Work @default.
• W2013346937 sameAs 2013346937 @default.
• W2013346937 citedByCount "85" @default.
• W2013346937 countsByYear W20133469372014 @default.
• W2013346937 countsByYear W20133469372015 @default.
• W2013346937 countsByYear W20133469372016 @default.
• W2013346937 countsByYear W20133469372019 @default.
• W2013346937 countsByYear W20133469372020 @default.
• W2013346937 countsByYear W20133469372021 @default.
• W2013346937 crossrefType "journal-article" @default.
• W2013346937 hasAuthorship W2013346937A5082049761 @default.
• W2013346937 hasAuthorship W2013346937A5090515423 @default.
• W2013346937 hasBestOaLocation W20133469372 @default.
• W2013346937 hasConcept C114614502 @default.
• W2013346937 hasConcept C121332964 @default.
• W2013346937 hasConcept C134306372 @default.
• W2013346937 hasConcept C154945302 @default.
• W2013346937 hasConcept C158622935 @default.
• W2013346937 hasConcept C169760540 @default.
• W2013346937 hasConcept C184720557 @default.
• W2013346937 hasConcept C191544260 @default.
• W2013346937 hasConcept C24998067 @default.
• W2013346937 hasConcept C2775924081 @default.
• W2013346937 hasConcept C2777052490 @default.
• W2013346937 hasConcept C2778562939 @default.
• W2013346937 hasConcept C2781349735 @default.
• W2013346937 hasConcept C33923547 @default.
• W2013346937 hasConcept C41008148 @default.
• W2013346937 hasConcept C47446073 @default.
• W2013346937 hasConcept C500300565 @default.
• W2013346937 hasConcept C57879066 @default.
• W2013346937 hasConcept C62520636 @default.
• W2013346937 hasConcept C86803240 @default.
• W2013346937 hasConcept C97292510 @default.
• W2013346937 hasConceptScore W2013346937C114614502 @default.
• W2013346937 hasConceptScore W2013346937C121332964 @default.
• W2013346937 hasConceptScore W2013346937C134306372 @default.
• W2013346937 hasConceptScore W2013346937C154945302 @default.
• W2013346937 hasConceptScore W2013346937C158622935 @default.
• W2013346937 hasConceptScore W2013346937C169760540 @default.
• W2013346937 hasConceptScore W2013346937C184720557 @default.
• W2013346937 hasConceptScore W2013346937C191544260 @default.
• W2013346937 hasConceptScore W2013346937C24998067 @default.
• W2013346937 hasConceptScore W2013346937C2775924081 @default.
• W2013346937 hasConceptScore W2013346937C2777052490 @default.
• W2013346937 hasConceptScore W2013346937C2778562939 @default.
• W2013346937 hasConceptScore W2013346937C2781349735 @default.
• W2013346937 hasConceptScore W2013346937C33923547 @default.
• W2013346937 hasConceptScore W2013346937C41008148 @default.
• W2013346937 hasConceptScore W2013346937C47446073 @default.

• next