Revisiting an old concept: the coupled oscillator model for VCD. Part 2: implications of the generalised coupled oscillator mechanism for the VCD robustness concept

The generalised coupled oscillator (GCO) mechanism implies that the stability of the computed VCD sign should be assigned by monitoring the uncertainties in the relative orientation of the GCO fragments and in the nuclear displacement vectors, i.e. not the magnitude of the dissymmetry factor.

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A coupled-oscillator model with a conservation law for the rhythmic amoeboid movements of plasmodial slime molds

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2005.01.010 ◽

2005 ◽

Vol 205 (1-4) ◽

pp. 125-135 ◽

Cited By ~ 39

Author(s):

A. Tero ◽

R. Kobayashi ◽

T. Nakagaki

Keyword(s):

Conservation Law ◽

Oscillator Model ◽

Coupled Oscillator ◽

Slime Molds ◽

Plasmodial Slime Molds ◽

Coupled Oscillator Model

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A COUPLED OSCILLATOR MODEL DESCRIBES NORMAL AND STRANGE ZOOPLANKTON SWIMMING BEHAVIOUR

Netherlands Journal of Zoology ◽

10.1163/156854203764817689 ◽

2003 ◽

Vol 52 (2) ◽

pp. 225-241

Author(s):

Rob Lingeman ◽

Joop Ringelberg

Keyword(s):

Oscillator Model ◽

Swimming Behaviour ◽

Coupled Oscillator ◽

Coupled Oscillator Model

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Validity of the coupled-oscillator model for laser-array dynamics

Optics Letters ◽

10.1364/ol.18.001810 ◽

1993 ◽

Vol 18 (21) ◽

pp. 1810 ◽

Cited By ~ 10

Author(s):

Herbert G. Winful ◽

Sean Allen ◽

Lutfur Rahman

Keyword(s):

Oscillator Model ◽

Laser Array ◽

Coupled Oscillator ◽

Coupled Oscillator Model

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Transient High-Frequency Firing in a Coupled-Oscillator Model of the Mesencephalic Dopaminergic Neuron

Journal of Neurophysiology ◽

10.1152/jn.00691.2004 ◽

2006 ◽

Vol 95 (2) ◽

pp. 932-947 ◽

Cited By ~ 56

Author(s):

Alexey S. Kuznetsov ◽

Nancy J. Kopell ◽

Charles J. Wilson

Keyword(s):

Nmda Receptor ◽

High Frequency ◽

Dopaminergic Neurons ◽

Dopaminergic Neuron ◽

Receptor Activation ◽

Oscillator Model ◽

Coupled Oscillator ◽

Depolarization Block ◽

Nmda Receptor Activation ◽

Coupled Oscillator Model

Dopaminergic neurons of the midbrain fire spontaneously at rates <10/s and ordinarily will not exceed this range even when driven with somatic current injection. When driven at higher rates, these cells undergo spike failure through depolarization block. During spontaneous bursting of dopaminergic neurons in vivo, bursts related to reward expectation in behaving animals, and bursts generated by dendritic application of N-methyl-d-aspartate (NMDA) agonists, transient firing attains rates well above this range. We suggest a way such high-frequency firing may occur in response to dendritic NMDA receptor activation. We have extended the coupled oscillator model of the dopaminergic neuron, which represents the soma and dendrites as electrically coupled compartments with different natural spiking frequencies, by addition of dendritic AMPA (voltage-independent) or NMDA (voltage-dependent) synaptic conductance. Both soma and dendrites contain a simplified version of the calcium-potassium mechanism known to be the mechanism for slow spontaneous oscillation and background firing in dopaminergic cells. The compartments differ only in diameter, and this difference is responsible for the difference in natural frequencies. We show that because of its voltage dependence, NMDA receptor activation acts to amplify the effect on the soma of the high-frequency oscillation of the dendrites, which is normally too weak to exert a large influence on the overall oscillation frequency of the neuron. During the high-frequency oscillations that result, sodium inactivation in the soma is removed rapidly after each action potential by the hyperpolarizing influence of the dendritic calcium-dependent potassium current, preventing depolarization block of the spike mechanism, and allowing high-frequency spiking.

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