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A modified radial isochron clock with slow and fast dynamics as a model of pacemaker neurons

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-662-22492-2openalex-snapshot
The Geometry of Biological Time
inferredcites →https://doi.org/10.1007/bf00197717openalex-snapshot
Reduction of conductance-based neuron models
inferredcites →https://doi.org/10.1007/bf00206238openalex-snapshot
Global bifurcation structure of a Bonhoeffer-van der Pol oscillator driven by periodic pulse trains
inferredcites →https://doi.org/10.1007/bf00275153openalex-snapshot
A simple model for phase locking of biological oscillators
inferredcites →https://doi.org/10.1007/bf00275200openalex-snapshot
Transient and steady state phase response curves of limit cycle oscillators
inferredcites →https://doi.org/10.1007/bf00275692openalex-snapshot
Phase locking of biological clocks
inferredcites →https://doi.org/10.1007/bf00276920openalex-snapshot
n:m Phase-locking of weakly coupled oscillators
inferredcites →https://doi.org/10.1007/bf00277669openalex-snapshot
Global bifurcations of a periodically forced nonlinear oscillator
inferredcites →https://doi.org/10.1007/bf00290179openalex-snapshot
Studies with artificial neurons, I: properties and functions of an artificial neuron
inferredcites →https://doi.org/10.1007/bf00290514openalex-snapshot
On a response characteristic of a mathematical neuron model
inferredcites →https://doi.org/10.1007/bf01185414openalex-snapshot
A Bonhoeffer-van der Pol oscillator model of locked and non-locked behaviors of living pacemaker neurons
inferredcites →https://doi.org/10.1007/bf01273747openalex-snapshot
Isochrons and phaseless sets
inferredcites →https://doi.org/10.1007/bf02339491openalex-snapshot
Patterns of phase compromise in biological cycles
inferredcites →https://doi.org/10.1007/bf02367618openalex-snapshot
Dynamics of synaptic integration
inferredcites →https://doi.org/10.1016/0375-9601(82)90391-7openalex-snapshot
Bistability, period doubling bifurcations and chaos in a periodically forced oscillator
inferredcites →https://doi.org/10.1016/s0006-3495(61)86902-6openalex-snapshot
Impulses and Physiological States in Theoretical Models of Nerve Membrane
inferredcites →https://doi.org/10.1016/s0006-3495(81)84782-0openalex-snapshot
Voltage oscillations in the barnacle giant muscle fiber
inferredcites →https://doi.org/10.1016/s0022-5193(05)80676-9openalex-snapshot
Chaotic nature of bursting discharges in the Onchidium pacemaker neuron
inferredcites →https://doi.org/10.1016/s0022-5193(84)80005-3openalex-snapshot
Periodic and non-periodic responses of a periodically forced Hodgkin-Huxley oscillator
inferredcites →https://doi.org/10.1016/s0079-8169(08)x6044-1openalex-snapshot
Differential Equations, Dynamical Systems, and Linear Algebra
inferredcites →https://doi.org/10.1063/1.3068875openalex-snapshot
Resetting biological clocks
inferredcites →https://doi.org/10.1085/jgp.50.3.631openalex-snapshot
Extracellular Action Potentials Recorded from the Interior of the Giant Esophageal Cell of Ascaris
inferredcites →https://doi.org/10.1093/imammb/4.2.145openalex-snapshot
A Model for the Periodic Synaptic Inhibition of a Neuronal Oscillator
inferredcites →https://doi.org/10.1103/physreva.36.1428openalex-snapshot
Period-doubling cascades and devil’s staircases of the driven van der Pol oscillator
inferredcites →https://doi.org/10.1103/physrevlett.50.1637openalex-snapshot
Complete Devil's Staircase, Fractal Dimension, and Universality of Mode- Locking Structure in the Circle Map
inferredcites →https://doi.org/10.1103/physrevlett.50.713openalex-snapshot
Chaos and Period-Doubling Bifurcations in a Simple Acoustic System
inferredcites →https://doi.org/10.1109/icnn.1993.298528openalex-snapshot
Dynamics of synaptic transfer in living and simulated neurons
inferredcites →https://doi.org/10.1109/jrproc.1962.288235openalex-snapshot
An Active Pulse Transmission Line Simulating Nerve Axon
inferredcites →https://doi.org/10.1126/science.145.3627.61openalex-snapshot
Pacemaker Neurons: Effects of Regularly Spaced Synaptic Input
inferredcites →https://doi.org/10.1142/s0218127491000415openalex-snapshot
PERIODIC INHIBITION OF LIVING PACEMAKER NEURONS (I): LOCKED, INTERMITTENT, MESSY, AND HOPPING BEHAVIORS
inferredcites →https://doi.org/10.1142/s0218127491000646openalex-snapshot
PERIODIC INHIBITION OF LIVING PACEMAKER NEURONS (II): INFLUENCES OF DRIVER RATES AND TRANSIENTS AND OF NONDRIVEN POSTSYNAPTIC RATES
inferredcites →https://doi.org/10.1161/01.res.27.5.635openalex-snapshot
Effect of Timing of Vagal Stimulation on Heart Rate in the Dog

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/scj.1114openalex-snapshot
Response of a pacemaker neuron model to transient pulse trains
inferred← citeshttps://doi.org/10.1007/s00422-001-0287-9openalex-snapshot
Response of a pacemaker neuron model to stochastic pulse trains
inferred← citeshttps://doi.org/10.1007/s00422-002-0314-5openalex-snapshot
MEG responses during rhythmic finger tapping in humans to phasic stimulation and their interpretation based on neural mechanisms
inferred← citeshttps://doi.org/10.1016/0303-2647(96)01643-7openalex-snapshot
On the behavior of mRIC — a simple model of living pacemakers driven by periodic pulse trains
inferred← citeshttps://doi.org/10.1016/j.chaos.2020.110553openalex-snapshot
Dynamics of a two-dimensional map on nested circles and rings
inferred← citeshttps://doi.org/10.1016/s0303-2647(00)00129-5openalex-snapshot
Dynamics of a hybrid system of a brain neural network and an artificial nonlinear oscillator
inferred← citeshttps://doi.org/10.1016/s0303-2647(98)00076-8openalex-snapshot
Analysis of the response of a pacemaker neuron model to transient inputs
inferred← citeshttps://doi.org/10.1016/s0306-4522(98)00086-4openalex-snapshot
Discussion
inferred← citeshttps://doi.org/10.1016/s0306-4522(98)00101-8openalex-snapshot
Periodically-modulated inhibition of living pacemaker neurons—III. The heterogeneity of the postsynaptic spike trains, and how control parameters affect it
inferred← citeshttps://doi.org/10.1103/physreve.53.6353openalex-snapshot
Entrainment and termination of reentrant wave propagation in a periodically stimulated ring of excitable media
inferred← citeshttps://doi.org/10.1103/physreve.59.956openalex-snapshot
Synthetic analysis of periodically stimulated excitable and oscillatory membrane models
inferred← citeshttps://doi.org/10.1103/physreve.60.4564openalex-snapshot
Rate coding in a chain of pulse-coupled oscillators
inferred← citeshttps://doi.org/10.1103/physreve.84.011924openalex-snapshot
Stochastic phase transition operator
inferred← citeshttps://doi.org/10.1103/physreve.88.052709openalex-snapshot
Global dynamics of a stochastic neuronal oscillator
inferred← citeshttps://doi.org/10.1109/ijcnn.2004.1381189openalex-snapshot
Response space construction for neural error correction
inferred← citeshttps://doi.org/10.1137/090773519openalex-snapshot
Dissecting the Phase Response of a Model Bursting Neuron
inferred← citeshttps://doi.org/10.1142/s0218127403007886openalex-snapshot
Nonlinear Dynamics of Point Process Systems and Data
inferred← citeshttps://doi.org/10.1587/essfr.13.3_187openalex-snapshot
Response Characteristics of Nonlinear Models to External Stimuli: Neuron Models and Biological Oscillators as an Example
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