Name
Title | ||
|---|---|---|
Dendritic Synchrony and Transient Dynamics in a Coupled Oscillator Model of the Dopaminergic Neuron. |
Abstract | ||
|---|---|---|
Transient increases in spontaneous firing rate of mesencephalic dopaminergic neurons have been sug- gested to act as a reward prediction error signal. A mechanism previously proposed involves subthreshold calcium- dependent oscillations in all parts of the neuron. In that mechanism, the natural frequency of oscillation varies with diameter of cell processes, so there is a wide variation of natural frequencies on the cell, but strong voltage coupling enforces a single frequency of oscillation under resting conditions. In previous work, mathematical analysis of a simpler system of oscillators showed that the chain of oscillators could produce transient dynamics in which the frequency of the coupled system increased temporarily, as seen in a biophysical model of the dopaminergic neuron. The transient dynamics was shown to be consequence of a slow drift along an invariant subset of phase space, with rate of drift given by a Lyapunov function. In this paper, we show that the same mathematical structure exists for the full biophysical model, giving physiological meaning to the slow drift and the Lyapunov function, which is shown to describe differences in intracellular calcium concentration in different parts of the cell. The duration of transients |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1023/A:1024422802673 | Journal of Computational Neuroscience |
Keywords | Field | DocType |
dopaminergic neuron,basal ganglia,coupled oscillator model,transient dynamics,synchronization | Natural frequency,Lyapunov function,Oscillation,Control theory,Phase space,Dopaminergic,Subthreshold conduction,Neuron,Time constant,Mathematics | Journal |
Volume | Issue | ISSN |
15 | 1 | 0929-5313 |
Citations | PageRank | References |
4 | 1.06 | 7 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Georgi S. Medvedev | 1 | 90 | 14.52 |
| C. J. Wilson | 2 | 4 | 1.40 |
| J. C. Callaway | 3 | 4 | 1.06 |
| N Kopell | 4 | 742 | 121.87 |