Type I Membranes, Phase Resetting Curves, and Synchrony
@article{Ermentrout1996TypeIM, title={Type I Membranes, Phase Resetting Curves, and Synchrony}, author={B. Ermentrout}, journal={Neural Computation}, year={1996}, volume={8}, pages={979-1001} }
Type I membrane oscillators such as the Connor model (Connor et al. 1977) and the Morris-Lecar model (Morris and Lecar 1981) admit very low frequency oscillations near the critical applied current. Hansel et al. (1995) have numerically shown that synchrony is difficult to achieve with these models and that the phase resetting curve is strictly positive. We use singular perturbation methods and averaging to show that this is a general property of Type I membrane models. We show in a limited… CONTINUE READING
Topics from this paper
873 Citations
Temperature-modulated synchronization transition in coupled neuronal oscillators.
- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2012
- 8
- PDF
Phase-locking and bistability in neuronal networks with synaptic depression.
- Physics, Medicine
- Physica D. Nonlinear phenomena
- 2018
- 2
- PDF
Thermal Effects on Phase Response Curves and Synchronization Transition
- Physics, Computer Science
- ISNN
- 2011
- 4
Weak Phase-Resetting in Neural Oscillators
- Mathematics, Medicine
- 2005 IEEE Engineering in Medicine and Biology 27th Annual Conference
- 2005
- 4
The Leaky Oscillator: Properties of Inhibition-Based Rhythms Revealed through the Singular Phase Response Curve
- Mathematics, Computer Science
- SIAM J. Appl. Dyn. Syst.
- 2015
- 11
Hippocampal CA1 pyramidal neurons exhibit type 1 phase-response curves and type 1 excitability.
- Physics, Medicine
- Journal of neurophysiology
- 2013
- 19
- PDF
References
SHOWING 1-10 OF 16 REFERENCES
Biological rhythms and the behavior of populations of coupled oscillators.
- Mathematics, Medicine
- Journal of theoretical biology
- 1967
- 1,407
Multiple pulse interactions and averaging in systems of coupled neural oscillators
- Mathematics
- 1991
- 364
Voltage oscillations in the barnacle giant muscle fiber.
- Biology, Medicine
- Biophysical journal
- 1981
- 1,678
- PDF
Parabolic bursting in an excitable system coupled with a slow oscillation
- Physics
- 1986
- 458
- Highly Influential
- PDF
Emergent spindle oscillations and intermittent burst firing in a thalamic model: specific neuronal mechanisms.
- Biology, Medicine
- Proceedings of the National Academy of Sciences of the United States of America
- 1995
- 112
- PDF
Neural repetitive firing: modifications of the Hodgkin-Huxley axon suggested by experimental results from crustacean axons.
- Chemistry, Medicine
- Biophysical journal
- 1977
- 228
- Highly Influential
Synchronous oscillatory activity in sensory systems: new vistas on mechanisms
- Biology, Medicine
- Current Opinion in Neurobiology
- 1997
- 197
- PDF