(Q41621261)

English

Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: a theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias

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scholarly article

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Europe PubMed Central

PubMed publication ID

5 October 2017

Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: a theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias (English)

1 reference

Europe PubMed Central

PubMed publication ID

5 October 2017

mathematical biology

1 reference

based on heuristic

inferred from title

mathematical model

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based on heuristic

inferred from title

author name string

M R Guevara

1

1 reference

Europe PubMed Central

PubMed publication ID

5 October 2017

L Glass

2

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Europe PubMed Central

PubMed publication ID

5 October 2017

publication date

1 January 1982

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Europe PubMed Central

PubMed publication ID

5 October 2017

number of pages

23

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inferred from page(s)

Journal of Mathematical Biology

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Europe PubMed Central

PubMed publication ID

5 October 2017

14

1 reference

Europe PubMed Central

PubMed publication ID

5 October 2017

1

1 reference

Europe PubMed Central

PubMed publication ID

5 October 2017

1-23

1 reference

Europe PubMed Central

PubMed publication ID

5 October 2017

maintained by WikiProject

WikiProject Mathematics

0 references

A quantitative description of membrane current and its application to conduction and excitation in nerve

1 reference

https://api.crossref.org/works/10.1007%2FBF02154750

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Correlative electrophysiological and anatomical studies concerning the site of origin of escape rhythm during complete atrioventricular block in the dog

1 reference

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Reconstruction of the electrical activity of cardiac Purkinje fibres

1 reference

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A mathematical model of parasystole and its application to clinical arrhythmias

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LXXII. The heartbeat considered as a relaxation oscillation, and an electrical model of the heart

1 reference

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21 January 2018

Simple mathematical models with very complicated dynamics

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

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A mathematical model of automaticity in the sinus node and AV junction based on weakly coupled relaxation oscillators

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

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The nature of the PR interval

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https://pubmed.ncbi.nlm.nih.gov/7077182

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A mathematical model for first degree block and the Wenckebach phenomenon.

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

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Mathematical relationship between automaticity of the sinus node and the AV junction.

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

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The nature of Wenckebach cycles

1 reference

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Dynamics of Encoding in a Population of Neurons

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Aplysia bursting neurons as endogenous oscillators. II. Synchronization and entrainment by pulsed inhibitory synaptic input

1 reference

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Interaction of oscillators: effect of sinusoidal stretching of the sinoatrial node on nodal rhythm

1 reference

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PACEMAKER NEURONS: EFFECTS OF REGULARLY SPACED SYNAPTIC INPUT.

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

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Mutual entrainment of two pacemaker cells. A study with an electronic parallel conductance model

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

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Phase Locking, Period-Doubling Bifurcations, and Irregular Dynamics in Periodically Stimulated Cardiac Cells

1 reference

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The mechanism of A-V arrhythmias; with an electronic analogue of the human A-V node

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Phase control of neural pacemakers

1 reference

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The behavior of atrio-ventricular nodal rhythm following direct perfusion of the sinus node

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

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Unstable dynamics of a periodically driven oscillator in the presence of noise

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

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The response of excitable membrane models to a cyclic input

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

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Synchronization of the heart

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

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[Alternation of auriculo-ventricular conduction time.]

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

12 December 2020

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A biologic model of parasystole

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

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Frequency entrainment of squid axon membrane

1 reference

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The cardiac pacemaker: Effects of regularly spaced nervous input

1 reference

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Mechanism of atrioventricular conduction: study on an analogue

1 reference

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STIMULUS-RESPONSE RELATIONSHIP IN DOG VENTRICLE IN VIVO

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

12 December 2020

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Synaptic control of an endogenous pacemaker network

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

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Electrophysiological and mathematical characteristics of the escape rhythm during complete AV block

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

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A simple model for phase locking of biological oscillators

1 reference

https://pubmed.ncbi.nlm.nih.gov/7077182

12 December 2020

based on heuristic

inferred from PubMed ID database lookup

Identifiers

10.1007/BF02154750

1 reference

Europe PubMed Central

PubMed publication ID

5 October 2017

PubMed publication ID

1 reference

Europe PubMed Central

PubMed publication ID

5 October 2017

zbMATH Open document ID

0 references

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