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Subthreshold dynamics of the neural membrane potential driven by stochastic synaptic input

Hillenbrand, Dr. Ulrich (2002) Subthreshold dynamics of the neural membrane potential driven by stochastic synaptic input. [Journal (On-line/Unpaginated)]

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Abstract

In the cerebral cortex, neurons are subject to a continuous bombardment of synaptic inputs originating from the network's background activity. This leads to ongoing, mostly subthreshold membrane dynamics that depends on the statistics of the background activity and of the synapses made on a neuron. Subthreshold membrane polarization is, in turn, a potent modulator of neural responses. The present paper analyzes the subthreshold dynamics of the neural membrane potential driven by synaptic inputs of stationary statistics. Synaptic inputs are considered in linear interaction. The analysis identifies regimes of input statistics which give rise to stationary, fluctuating, oscillatory, and unstable dynamics. In particular, I show that (i) mere noise inputs can drive the membrane potential into sustained, quasiperiodic oscillations (noise-driven oscillations), in the absence of a stimulus-derived, intraneural, or network pacemaker; (ii) adding hyperpolarizing to depolarizing synaptic input can increase neural activity (hyperpolarization-induced activity), in the absence of hyperpolarization-activated currents.

Item Type:Journal (On-line/Unpaginated)
Additional Information:article number 021909
Keywords:neural networks, cerebral cortex, membrane potential, synapses, stochastic process
Subjects:Neuroscience > Biophysics
Neuroscience > Computational Neuroscience
Biology > Theoretical Biology
ID Code:2480
Deposited By:Hillenbrand, Dr. Ulrich
Deposited On:29 Sep 2002
Last Modified:12 Sep 2007 17:45

References in Article

Select the SEEK icon to attempt to find the referenced article. If it does not appear to be in cogprints you will be forwarded to the paracite service. Poorly formated references will probably not work.

\bibitem{Andreasen&Lambert99}

M~Andreasen and J~D Lambert.

\newblock Somatic amplification of distally generated subthreshold {EPSPs} in

rat hippocampal pyramidal neurones.

\newblock {\em J.\ Physiol.\ (London)}, 519:85--100, 1999.

\bibitem{Aparicio&Solari01}

J~P Aparicio and H~G Solari.

\newblock Sustained oscillations in stochastic systems.

\newblock {\em Math.\ Biosci.}, 169:15--25, 2001.

\bibitem{Azouz&Gray99}

R~Azouz and C~M Gray.

\newblock Cellular mechanisms contributing to response variability of cortical

neurons in vivo.

\newblock {\em J.\ Neurosci.}, 19:2209--2223, 1999.

\bibitem{Bringuier_etal97}

V~Bringuier, Y~Fregnac, A~Baranyi, D~Debanne, and D~E Shulz.

\newblock Synaptic origin and stimulus dependency of neuronal oscillatory

activity in the primary visual cortex of the cat.

\newblock {\em J.\ Physiol.\ (London)}, 500:751--774, 1997.

\bibitem{Brunel&Hakim99}

N~Brunel and V~Hakim.

\newblock Fast global oscillations in networks of integrate-and-fire neurons

with low firing rates.

\newblock {\em Neural Comput.}, 11:1621--1671, 1999.

\bibitem{Castelo-Branco_etal98}

M~Castelo-Branco, S~Neuenschwander, and W~Singer.

\newblock Synchronization of visual responses between the cortex, lateral

geniculate nucleus, and retina in the anesthetized cat.

\newblock {\em J.\ Neurosci.}, 18:6395--6410, 1998.

\bibitem{Chitwood_etal99}

R~A Chitwood, A~Hubbard, and D~B Jaffe.

\newblock Passive electrotonic properties of rat hippocampal {CA3}

interneurones.

\newblock {\em J.\ Physiol.\ (London)}, 515:743--756, 1999.

\bibitem{Defelipe&Farinas92}

J~Defelipe and I~Fari{\~n}as.

\newblock The pyramidal neuron of the cerebral cortex: morphological and

chemical characteristics of the synaptic inputs.

\newblock {\em Prog.\ Neurobiol.}, 39:563--607, 1992.

\bibitem{Destexhe&Pare99}

A~Destexhe and D~Pare.

\newblock Impact of network activity on the integrative properties of

neocortical pyramidal neurons in vivo.

\newblock {\em J.\ Neurophysiol.}, 81:1531--1547, 1999.

\bibitem{Friedman-Hill_etal00}

S~{Friedman-Hill}, P~E Maldonado, and C~M Gray.

\newblock Dynamics of striate cortical activity in the alert macaque: {I.}

incidence and stimulus-dependence of gamma-band neuronal oscillations.

\newblock {\em Cereb.\ Cortex}, 10:1105--1116, 2000.

\bibitem{Gerstner_etal96}

W~Gerstner, J~L {van Hemmen}, and J~D Cowan.

\newblock What matters in neuronal locking?

\newblock {\em Neural Comput.}, 8:1653--1676, 1996.

\bibitem{Gray&McCormick96}

C~M Gray and D~A McCormick.

\newblock Chattering cells: superficial pyramidal neurons contributing to the

generation of synchronous oscillations in the visual cortex.

\newblock {\em Science}, 274:109--113, 1996.

\bibitem{Gray&VianaDiPrisco97}

C~M Gray and G~Viana~Di Prisco.

\newblock Stimulus-dependent neuronal oscillations and local synchronization in

striate cortex of the alert cat.

\newblock {\em J.\ Neurosci.}, 17:3239--3253, 1997.

\bibitem{Hille92}

B~Hille.

\newblock {\em Ionic Channels of Excitable Membranes}.

\newblock Sinauer Associates Inc., Sunderland, MA, 1992.

\bibitem{Hillenbrand01}

U~Hillenbrand.

\newblock {\em Spatiotemporal Adaptation in the Corticogeniculate Loop}.

\newblock Doctoral thesis, Technische Universit{\"a}t M{\"u}nchen, 2001, http://tumb1.biblio.tu-muenchen.de/publ/diss/ph/2001/hillenbrand.pdf.

\bibitem{Hillenbrand&vanHemmen00}

U~Hillenbrand and J~L {van Hemmen}.

\newblock Spatiotemporal adaptation through corticothalamic loops: {A}

hypothesis.

\newblock {\em Vis.\ Neurosci.}, 17:107--118, 2000.

\bibitem{Honerkamp94}

J~Honerkamp.

\newblock {\em Stochastic Dynamical Systems: Concepts, Numerical Methods, Data Analysis}.

\newblock Wiley, New York, NY, 1994.

\bibitem{Huguenard&McCormick92}

J~R Huguenard and D~A McCormick.

\newblock Simulation of the currents involved in rythmic oscillations in

thalamic relay neurons.

\newblock {\em J.\ Neurophysiol.}, 68:1373--1383, 1992.

\bibitem{Jaffe&Carnevale99}

D~B Jaffe and N~T Carnevale.

\newblock Passive normalization of synaptic integration influenced by dendritic

architecture.

\newblock {\em J.\ Neurophysiol.}, 82:3268--3285, 1999.

\bibitem{Jagadeesh_etal92}

B~Jagadeesh, C~M Gray, and D~Ferster.

\newblock Visually evoked oscillations of membrane potential in cells of cat

visual cortex.

\newblock {\em Science}, 257:552--554, 1992.

\bibitem{Maldonado_etal00}

P~E Maldonado, S~{Friedman-Hill}, and C~M Gray.

\newblock Dynamics of striate cortical activity in the alert macaque: {II.}

fast time scale synchronization.

\newblock {\em Cereb.\ Cortex}, 10:1117--1131, 2000.

\bibitem{McCormick&Huguenard92}

D~A McCormick and J~R Huguenard.

\newblock A model of the electrophysiological properties of thalamocortical

relay neurons.

\newblock {\em J.\ Neurophysiol.}, 68:1384--1400, 1992.

\bibitem{Pare_etal98}

D~Par{\'e}, E~Shink, H~Gaudreau, A~Destexhe, and E~J Lang.

\newblock Impact of spontaneous synaptic activity on the resting properties of

cat neocortical pyramidal neurons in vivo.

\newblock {\em J.\ Neurophysiol.}, 79:1450--1460, 1998.

\bibitem{Rall62}

W~Rall.

\newblock Theory of physiological properties of dendrites.

\newblock {\em Ann.\ {NY} Acad.\ Sci.}, 96:1071--1092, 1962.

\bibitem{Rall70}

W~Rall.

\newblock Cable properties of dendrites and effects of synaptic location.

\newblock In P~Andersen and J~K~S Jansen, editors, {\em Excitatory Synaptic

Mechanisms}, pages 175--187. Universitetsforlaget, Oslo, Norway, 1970.

\bibitem{Rall77}

W~Rall.

\newblock Core conductor theory and cable properties of neurons.

\newblock In {\em Handbook of Physiology. The Nervous System. Cellular Biology

of Neurons}, volume~1, pages 39--97. Am.\ Physiol.\ Soc., Bethesda, MD, 1977.

\bibitem{Steriade78}

M~Steriade.

\newblock Cortical long-axoned cells and putative interneurons during the

sleep-waking cycle.

\newblock {\em Behav.\ Brain Sci.}, 3:465--514, 1978.

\bibitem{Steriade_etal74}

M~Steriade, M~Desch{\^e}nes, and G~Oakson.

\newblock Inhibitory processes and interneuronal apparatus in motor cortex

during sleep and waking. {I.} {B}ackground firing and responsiveness of

pyramidal tract neurons and interneurons.

\newblock {\em J.\ Neurophysiol.}, 37:1065--1092, 1974.

\bibitem{Steriade_etal93}

M~Steriade, D~A McCormick, and T~J Sejnowski.

\newblock Thalamocortical oscillations in the sleeping and aroused brain.

\newblock {\em Science}, 262:679--685, 1993.

\bibitem{Tuckwell88a}

H~C Tuckwell.

\newblock {\em Introduction to Theoretical Neurobiology, Volume 1: Linear Cable

Theory and Dendritic Structure}.

\newblock Cambridge University Press, Cambridge, 1988.

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