title: Cortical pyramidal cells as non-linear oscillators: experiment and spike-generation theory.
abstract: Cortical neurons are capable of generating trains of action potentials in response to current injections. These discharges can take different forms, e.g., repetitive firing that adapts during the period of current injection or bursting behaviors. We have used a combined experimental and computational approach to characterize the dynamics leading to action potential responses in single neurons. Specifically we investigated the origin of complex firing patterns in response to sinusoidal current injections. Using a reduced model, the theta-neuron, alongside recordings from cortical pyramidal cells we show that both real and simulated neurons show phase-locking to sine wave stimuli up to a critical frequency, above which period skipping and 1-to-x phase-locking occurs. The locking behavior follows a complex "devil's staircase" phenomena, where locked modes are interleaved with irregular firing. We further show that the critical frequency depends on the time scale of spike generation and on the level of spike frequency adaptation. These results suggest that phase-locking of neuronal responses to complex input patterns can be explained by basic properties of the spike-generating machinery.
authors: Department of Psychology, Queens College of the City University of New York, Flushing, NY 11367, USA. joshua.brumberg@qc.cuny.edu
authors: Joshua C
authors: JC
authors: Brumberg
authors: Boris S
authors: BS
authors: Gutkin
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D000222:Adaptation, Physiological; D000818:Animals; D001683:Biological Clocks; D004307:Dose-Response Relationship, Radiation; D004558:Electric Stimulation / Q000379:methods; D005260:Female; D005289:Ferrets; D066298:In Vitro Techniques; D008297:Male; D008959:Models, Neurological; D017711:Nonlinear Dynamics; D010775:Photic Stimulation / Q000379:methods; D017966:Pyramidal Cells / Q000502:physiology*; D014793:Visual Cortex / Q000166:cytology*
references: Cereb Cortex. 1997 Sep;7(6):487-501
references: 9276174
references: J Neurophysiol. 1985 Oct;54(4):782-806
references: 2999347
references: Trends Neurosci. 2000 May;23(5):216-22
references: 10782127
references: Neuroscience. 1997 May;78(2):325-41
references: 9145790
references: J Neurophysiol. 2000 Jan;83(1):588-610
references: 10634897
references: Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Oct;66(4 Pt 2):047202
references: 12443389
references: Trends Neurosci. 2001 Sep;24(9):517-26
references: 11506885
references: J Neurophysiol. 1998 Mar;79(3):1450-60
references: 9497424
references: Science. 2000 Jan 14;287(5451):273-8
references: 10634775
references: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Aug;60(2 Pt B):2086-96
references: 11970001
references: Neural Comput. 2001 Jun;13(6):1285-310
references: 11387047
references: Neuroscience. 2002;114(1):239-46
references: 12207969
references: Proc Natl Acad Sci U S A. 1991 Feb 1;88(3):897-901
references: 1992481
references: J Neurophysiol. 2003 Mar;89(3):1541-66
references: 12626627
references: Physiol Rev. 1985 Jan;65(1):101-48
references: 3880896
references: J Neurophysiol. 2001 Apr;85(4):1782-7
references: 11287500
references: J Comput Neurosci. 2005 Jun;18(3):297-309
references: 15830166
references: J Neurosci. 1999 Dec 15;19(24):10727-37
references: 10594056
references: Neural Comput. 1998 Jul 1;10(5):1047-65
references: 9654767
references: J Theor Biol. 1980 Oct 7;86(3):455-75
references: 7218820
references: Neuroscience. 1998 Mar;83(1):15-25
references: 9466396
references: Neuron. 1995 Dec;15(6):1427-39
references: 8845165
references: Biol Cybern. 1976 Jan 2;21(1):1-7
references: 1244861
references: Nature. 2006 Apr 20;440(7087):1060-3
references: 16625198
references: Neural Comput. 2001 Apr;13(4):765-74
references: 11255568
references: J Membr Biol. 1980 Aug 21;56(1):9-18
references: 7441721
references: J Neurosci. 1996 Jan;16(1):169-85
references: 8613783
references: J Neurophysiol. 2003 May;89(5):2538-54
references: 12611957
references: J Neurophysiol. 2005 Aug;94(2):1623-35
references: 15829595
references: J Comput Neurosci. 1994 Dec;1(4):313-21
references: 8792237
references: J Neurophysiol. 1996 Nov;76(5):3425-41
references: 8930283
references: J Neurophysiol. 1998 Sep;80(3):1427-38
references: 9744950
references: J Neurophysiol. 1996 Aug;76(2):683-97
references: 8871191
references: Neuroscience. 1994 Nov;63(1):151-61
references: 7898645
references: J Neurosci. 2003 Dec 17;23(37):11628-40
references: 14684865
references: J Neurophysiol. 1999 Apr;81(4):1531-47
references: 10200189
references: Neural Comput. 1996 Jul 1;8(5):979-1001
references: 8697231
references: J Neurosci. 2000 Jul 1;20(13):4829-43
references: 10864940