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The Journal of Neuroscience, July 15, 2001, 21(14):5229-5238
Global Structure, Robustness, and Modulation of Neuronal Models
Mark S.
Goldman1, 3,
Jorge
Golowasch1, 2,
Eve
Marder1, 2, and
L. F.
Abbott1, 2
1 Volen Center and 2 Department of Biology,
Brandeis University, Waltham, Massachusetts 02454, and
3 Department of Physics, Harvard University, Cambridge,
Massachusetts 02138
The electrical characteristics of many neurons are remarkably
robust in the face of changing internal and external conditions. At the
same time, neurons can be highly sensitive to neuromodulators. We find
correlates of this dual robustness and sensitivity in a global analysis
of the structure of a conductance-based model neuron. We vary the
maximal conductance parameters of the model neuron and, for each set of
parameters tested, characterize the activity pattern generated by the
cell as silent, tonically firing, or bursting. Within the parameter
space of the five maximal conductances of the model, we find
directions, representing concerted changes in multiple conductances,
along which the basic pattern of neural activity does not change. In
other directions, relatively small concurrent changes in a few
conductances can induce transitions between these activity patterns.
The global structure of the conductance-space maps implies that
neuromodulators that alter a sensitive set of conductances will have
powerful, and possibly state-dependent, effects. Other modulators that
may have no direct impact on the activity of the neuron may
nevertheless change the effects of such direct modulators via this
state dependence. Some of the results and predictions arising from the
model studies are replicated and verified in recordings of
stomatogastric ganglion neurons using the dynamic clamp.
Key words:
stomatogastric ganglion; bursting neuron; dynamic clamp; conductance-based model; parameter space; neuromodulator
Copyright © 2001 Society for Neuroscience 0270-6474/01/21145229-10$05.00/0
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