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On cardiac arrythmias: AV conduction block
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/sapm19785815openalex-snapshot
Frequency Entrainment of a Forced van der Pol Oscillator
inferredcites →https://doi.org/10.1007/bf02476662openalex-snapshot
A mathematical model for first degree block and the Wenckebach phenomenon
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Unstable dynamics of a periodically driven oscillator in the presence of noise
inferredcites →https://doi.org/10.1016/s0006-3495(71)86277-xopenalex-snapshot
Theory of Threshold Fluctuations in Nerves
inferredcites →https://doi.org/10.1090/s0002-9947-1980-0580905-3openalex-snapshot
Chaotic Behavior in Piecewise Continuous Difference Equations
inferredcites →https://doi.org/10.1097/00000441-195808000-00020openalex-snapshot
CLINICAL HEART DISEASE
inferredcites →https://doi.org/10.1097/00007611-195110000-00021openalex-snapshot
Clinical Heart Disease
inferredcites →https://doi.org/10.1137/0141042openalex-snapshot
Integrate-and-Fire Models of Nerve Membrane Response to Oscillatory Input
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Cardiac Oscillations and Arrhythmia Analysis
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Iteration of the Human Atrioventricular (AV) Nodal Recovery Curve Predicts Many Rhythms of AV Block
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Ionic Basis of the Wenckebach Phenomenon
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Low Dimensional Chaos and the Transition from Rhythmic to Arrhythmic Behavior in Cardiac Tissue
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Bifurcation Structure of the Periodically Forced Relay System
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Bifurcation Phenomena in Cardiac System: Mechanistic Analyses and Control Design of Automaticity and Arrhythmias
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Bistability-Affected Period-Adding and Discontinuous Invariant Curves in a Pulse-Frequency Modulated Power Converter
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Experimental Studies of Chaotic Neural Behavior: Cellular Activity and Electroencephalographic Signals
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Continuation of Arnold Tongues in Mathematical Models of Periodically Forced Biological Oscillators
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Quasiperiodic Dynamics of a Pulse Frequency System
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Entrainment in pacemakers characterized by a V-shaped PRC
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The heart as a system of coupled nonlinear oscillators
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Periodic pulsatile stimulation of a nonlinear oscillator
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Global bifurcations of a periodically forced nonlinear oscillator
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Fibrillation of a cardiac region and the tachycardia mode of a two-oscillator system
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On the relationship between two models of neural entrainment
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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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Parameter-dependent transitions and the optimal control of dynamical diseases
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The mathematical modeling of entrained biological oscillators
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An averaging method for Volterra integral equations with applications to phase-locked feedback systems
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Functional Characterization of Oscillatory and Excitable Media
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A mathematical model of atrioventricular conduction block using the excitability recovery curve of the myocardial cell
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Difference equation model of ventricular parasystole as an interaction between cardiac pacemakers based on the phase response curve
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Age-structured and two-delay models for erythropoiesis
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Bifurcation and chaos in a periodically stimulated cardiac oscillator
inferred← citeshttps://doi.org/10.1016/0167-2789(86)90079-5openalex-snapshot
Dynamic regimes in a periodically forced reaction cell with oscillatory chemical reaction
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There is a theory of heart
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Experimental observations of periodic and chaotic regimes in a forced chemical oscillator
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Mechanism of action of antiarrhythmic drugs
inferred← citeshttps://doi.org/10.1016/j.bspc.2013.01.004openalex-snapshot
The AV synchrogram: A novel approach to quantify atrioventricular coupling during atrial arrhythmias
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Complex dynamics of a vibration machine caused by a relay feedback control
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The physics of heart rhythm disorders
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Stochastic mode-locking for a noisy integrate-and-fire oscillator
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Wenckebach rhythms in a FitzHugh model with defects
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Progressive Coherence Patterns for Electroencephalographic Phenomenology
inferred← citeshttps://doi.org/10.1023/a:1023048923644openalex-snapshot
Characterization of Stochastic Bifurcations in a Simple Biological Oscillator
inferred← citeshttps://doi.org/10.1038/343653a0openalex-snapshot
Low dimensional chaos in cardiac tissue
inferred← citeshttps://doi.org/10.1063/1.165810openalex-snapshot
Cardiac arrhythmias and circle maps−A classical problem
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Dynamical disease: Challenges for nonlinear dynamics and medicine
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Characterization of rate and regularity of ventricular response during atrial tachyarrhythmias. Insight on atrial and nodal determinants
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Statistical properties of heartbeat intervals during atrial fibrillation
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Noise-induced effects on period-doubling bifurcation for integrate-and-fire oscillators
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Universal Bifurcations and the Classification of Cardiac Arrhythmiasa
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Toward Very Simple Generic Models of Excitable Cells. Order and Chaos in Cardiac Tissues. Facts and Conjecturesa
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Irregular Dynamics of Excitation in Biologic and Mathematical Models of Cardiac Cellsa
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Predicting the risk of sudden cardiac death
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On Forced Oscillations in a Relay System with Hysteresis
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Bifurcations in a Periodically Stimulated Limit Cycle Oscillator with Finite Relaxation Times
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Wave-Block in Excitable Media Due to Regions of Depressed Excitability
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MODEL OF CARDIAC TISSUE AS A CONDUCTIVE SYSTEM WITH INTERACTING PACEMAKERS AND REFRACTORY TIME
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Nodal recovery, dual pathway physiology, and concealed conduction determine complex AV dynamics in human atrial tachyarrhythmias
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Dynamics of AV coupling during human atrial fibrillation: role of atrial rate
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Wenckebach periodicity in single atrioventricular nodal cells from the rabbit heart.
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Supernormal excitability as a mechanism of chaotic dynamics of activation in cardiac Purkinje fibers.
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Nonlinear dynamics of rate-dependent activation in models of single cardiac cells.
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A unified model of atrioventricular nodal conduction predicts dynamic changes in Wenckebach periodicity.
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Subharmonic Coordination in Networks of Neurons with Slow Conductances
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Wave blocking phenomenon: A dynamical systems approach
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Synthesis of the Cardiac Purkinje-fiber Action Potential Using a Computer Model
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On Forced Oscillations in a Relay System with Hysteresis
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On Forced Oscillations in a Relay System with Hysteresis
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Bifurcations and Proarrhythmic Behaviors in Cardiac Electrical Excitations
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Characterization and Modeling of Atrioventricular Conduction during Atrial Fibrillation
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