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Biological Oscillators: Their Mathematical Analysis

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The article was published on 1973-01-01 and is currently open access. It has received 402 citations till now.

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Journal ArticleDOI

Voltage oscillations in the barnacle giant muscle fiber.

TL;DR: An analysis of the possible modes of behavior available to a system of two noninactivating conductance mechanisms, and a good correspondence to the types of behavior exhibited by barnacle fiber is indicated.
Journal ArticleDOI

A Functional Analysis of Circadian Pacemakers in Nocturnal Rodents. I. The Stability and Lability of Spontaneous Frequency

TL;DR: In this paper, a model of non-parametric entrainment of circadian pacemakers is tested for the case of nocturnal rodents using 1 or 2 light pulses per cycle, and the model makes use of the available data on freerunning period (τ) in constant darkness and on phase response curves (PRC) for short light pulses.
Journal ArticleDOI

Synchronization of pulse-coupled biological oscillators

TL;DR: A simple model for synchronous firing of biological oscillators based on Peskin's model of the cardiac pacemaker is studied in this article, which consists of a population of identical integrate-and-fire oscillators, whose coupling between oscillators is pulsatile: when a given oscillator fires, it pulls the others up by a fixed amount, or brings them to the firing threshold, whichever is less.
Journal ArticleDOI

A functional analysis of circadian pacemakers in nocturnal rodents

TL;DR: In this article, phase response curves for 15′ bright light pulses of four species of nocturnal rodents are described, and the response to a resetting stimulus at a given phase of the rhythm is correlated with the individual's free-running period.
Book ChapterDOI

Circadian Systems: Entrainment

TL;DR: The circadian rhythmicity of eukaroytic organisms is dictated by an innate program that specifies the time course through the day of many aspects of metabolism and behavior, and this program is subject to entrainment by one or more of the external cycles whose period it closely approximates.