Journal article
Dendritic Synchrony and Transient Dynamics in a Coupled Oscillator Model of the Dopaminergic Neuron
Journal of computational neuroscience, v 15(1)
Jul 2003
PMID: 12843695
Abstract
Transient increases in spontaneous firing rate of mesencephalic dopaminergic neurons have been suggested 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 was long, being comparable to the time constant of calcium disposition. These results indicate that brief changes in input to the dopaminergic neuron can produce long lasting firing rate transients whose form is determined by intrinsic cell properties.
Metrics
Details
- Title
- Dendritic Synchrony and Transient Dynamics in a Coupled Oscillator Model of the Dopaminergic Neuron
- Creators
- G.S Medvedev - School of Mathematics Institute for Advanced Study Einstein Drive Princeton NJ 08540 USAC.J Wilson - Cajal Neuroscience Center, Division of Life Sciences University of Texas at San Antonio San Antonio TX 78249 USAJ.C Callaway - Cajal Neuroscience Center, Division of Life Sciences University of Texas at San Antonio San Antonio TX 78249 USAN Kopell - Department of Mathematics and Center for BioDynamics Boston University 111 Cummington Street Boston MA 02215 USA
- Publication Details
- Journal of computational neuroscience, v 15(1)
- Publisher
- Kluwer Academic Publishers; Boston
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000183834900005
- Scopus ID
- 2-s2.0-0042062569
- Other Identifier
- 991014877794704721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematical & Computational Biology
- Neurosciences