Abstract
The release of ink in Aplysia californica occurs selectively to long- lasting stimuli. There is a good correspondence between features of the behavior and the firing pattern of the ink gland motor neurons. Indeed, the neurons do not fire for brief inputs and there is a delayed firing for long duration inputs. The biophysical mechanisms for the long delay before firing is due to a transient potassium current which activates rapidly but inactivates more slowly. Based on voltage-clamp experiments, a nine-variable Hodgkin-Huxley-like model for the ink gland motor neurons was developed by Byrne. Here, fast-slow analysis and two-parameter dynamical analysis are used to investigate the contribution of different currents and to predict various firing patterns, including the long latency before firing.
Original language | English (US) |
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Pages (from-to) | 529-545 |
Number of pages | 17 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 16 |
Issue number | 2 |
DOIs | |
State | Published - Sep 2011 |
Keywords
- Bifurcation
- Bistability
- Neuron
- Oscillation
- Transient potassium current
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics