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Literature DB >> 469413

A simple model for phase locking of biological oscillators.

Abstract

A mathematical model is presented for phase locking of a biological oscillator to a sinusoidal stimulus. Analytical, numerical and topological considerations are used to discuss the patterns of phase locking as a function of amplitude of the sinusoidal stimulus and the relative frequencies of the osillator and the sinusoidal stimulus. The sorts of experimental data which are needed to make comparisons between theory and experiment are discussed.

Mesh：

Year: 1979 PMID： 469413 DOI： 10.1007/bf00275153

Source DB: PubMed Journal: J Math Biol ISSN： 0303-6812 Impact factor: 2.259

16 in total

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Authors: J Guckenheimer; G Oster; A Ipaktchi
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Authors: W Sachsenmaier; U Remy; R Plattner-Schobel
Journal: Exp Cell Res Date: 1972-07 Impact factor: 3.905

8. The frequency response, coherence, and information capacity of two neuronal models.

Authors: R B Stein; A S French; A V Holden
Journal: Biophys J Date: 1972-03 Impact factor: 4.033

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Journal: J Gen Physiol Date: 1972-06 Impact factor: 4.086

10. Dynamics of encoding in a population of neurons.

Authors: B W Knight
Journal: J Gen Physiol Date: 1972-06 Impact factor: 4.086

16 in total

1. Genome wide oscillations in expression. Wavelet analysis of time series data from yeast expression arrays uncovers the dynamic architecture of phenotype.

Authors: R R Klevecz; D B Murray
Journal: Mol Biol Rep Date: 2001 Impact factor: 2.316

2. Phase locking in integrate-and-fire models with refractory periods and modulation.

Authors: Tomás Gedeon; Matt Holzer
Journal: J Math Biol Date: 2004-03-03 Impact factor: 2.259

3. Phase resetting curves allow for simple and accurate prediction of robust N:1 phase locking for strongly coupled neural oscillators.

Authors: Carmen C Canavier; Fatma Gurel Kazanci; Astrid A Prinz
Journal: Biophys J Date: 2009-07-08 Impact factor: 4.033

8. A modified radial isochron clock with slow and fast dynamics as a model of pacemaker neurons. Global bifurcation structure when driven by periodic pulse trains.

Authors: T Nomura; S Sato; S Doi; J P Segundo; M D Stiber
Journal: Biol Cybern Date: 1994 Impact factor: 2.086

9. The mathematical modeling of entrained biological oscillators.

Authors: J Grasman
Journal: Bull Math Biol Date: 1984 Impact factor: 1.758

10. Respiratory oscillator entrainment by periodic vagal afferentes: an experimental test of a model.

Authors: J F Vibert; D Caille; J P Segundo
Journal: Biol Cybern Date: 1981 Impact factor: 2.086