Membrane potential and spike train statistics depend distinctly on input statistics
Abstract
A description of how the activity of a population of neurons reflects the structure of its inputs is essential for understanding neural coding. Many studies have examined how inputs determine spiking statistics, while comparatively little is known about membrane potentials. We examine how membrane potential statistics are related to input and spiking statistics. Surprisingly, firing rates and membrane potentials are sensitive to input current modulations in distinct regimes. Additionally, the correlation between the membrane potentials of two uncoupled cells and the correlation between their spike trains reflect input correlations in distinct regimes. Our predictions are experimentally testable, provide insight into the filtering properties of neurons, and indicate that care needs to be taken when interpreting neuronal recordings that reflect a combination of subthreshold and spiking activity.
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Synaptic fluctuations decrease pairwise correlations in output from neurons with shared inputs.
“In addition to regulating gain at the level of individual cells, synaptic fluctuations also decrease pairwise correlations in output from neurons with shared inputs85–88.”
From Mechanisms underlying gain modulation in the cortex (2020) · cites this paper as [86]
Cites
Risken, H. (1984) · Springer series in synergetics · doi:10.1007/978-3-642-61544-3 · Cited by 9,128 · see citing works
Risken, H. (1996) · Springer series in synergetics · doi:10.1007/978-3-642-61544-3_4 · Cited by 1,507 · see citing works
A Review of the Integrate-and-fire Neuron Model: I. Homogeneous Synaptic Input
Burkitt, A. N. (2006) · Biological Cybernetics · doi:10.1007/s00422-006-0068-6 · Cited by 1,214 · see citing works
Instantaneous correlation of excitation and inhibition during ongoing and sensory-evoked activities
Okun, M., & Lampl, I. (2008) · Nature Neuroscience · doi:10.1038/nn.2105 · Cited by 701 · see citing works
Correlation between neural spike trains increases with firing rate
de la Rocha, J., Doiron, B., Shea-Brown, E., Josić, K., & Reyes, A. (2007) · Nature · doi:10.1038/nature06028 · Cited by 644 · see citing works
Self-citationHow Spike Generation Mechanisms Determine the Neuronal Response to Fluctuating Inputs
Fourcaud‐Trocmé, N., Hansel, D., van Vreeswijk, C., & Brunel, N. (2003) · Journal of Neuroscience · doi:10.1523/jneurosci.23-37-11628.2003 · Cited by 603 · see citing works
An Introduction to the Theory of Stationary Random Functions
Yaglom, A. M., & Newell, G. F. (1963) · Journal of Applied Mechanics · doi:10.1115/1.3636602 · Cited by 596 · see citing works
An Introduction to the Theory of Stationary Random Functions.
Bochner, S., Yaglom, A. M., & Silverman, R. A. (1964) · American Mathematical Monthly · doi:10.2307/2312633 · Cited by 521 · see citing works
On the First Passage Time Probability Problem
Siegert, A. J. F. (1951) · Physical Review · doi:10.1103/physrev.81.617 · Cited by 473 · see citing works
Synchronous Membrane Potential Fluctuations in Neurons of the Cat Visual Cortex
Lampl, I., Reichova, I., & Ferster, D. (1999) · Neuron · doi:10.1016/s0896-6273(00)81096-x · Cited by 434 · see citing works
Diffusion Processes and Related Topics in Biology
Ricciardi, L. M. (1977) · Lecture notes in biomathematics · doi:10.1007/978-3-642-93059-1 · Cited by 407 · see citing works
Introduction to Theoretical Neurobiology
Tuckwell, H. C. (1988) · Cambridge University Press eBooks · doi:10.1017/cbo9780511623271 · Cited by 374 · see citing works
Membrane potential synchrony of simultaneously recorded striatal spiny neurons in vivo
Stern, E. A., Jaeger, D., & Wilson, C. J. (1998) · Nature · doi:10.1038/28848 · Cited by 340 · see citing works
Effects of Synaptic Noise and Filtering on the Frequency Response of Spiking Neurons
Brunel, N., Chance, F. S., Fourcaud‐Trocmé, N., & Abbott, L. F. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.2186 · Cited by 309 · see citing works
Interneuron and Pyramidal Cell Interplay During In Vitro Seizure-Like Events
Žiburkus, J., Cressman, J. R., Barreto, E., & Schiff, S. J. (2006) · Journal of Neurophysiology · doi:10.1152/jn.01378.2005 · Cited by 281 · see citing works
Neocortical Pyramidal Cells Respond as Integrate-and-Fire Neurons to In Vivo–Like Input Currents
Rauch, A., La Camera, G., Lüscher, H.-R., Senn, W., & Fusi, S. (2003) · Journal of Neurophysiology · doi:10.1152/jn.00293.2003 · Cited by 264 · see citing works
Ostojic, S., Brunel, N., & Hakim, V. (2009) · Journal of Neuroscience · doi:10.1523/jneurosci.1275-09.2009 · Cited by 231 · see citing works
Optimal decoding of correlated neural population responses in the primate visual cortex
Chen, Y., Geisler, W. S., & Seidemann, E. (2006) · Nature Neuroscience · doi:10.1038/nn1792 · Cited by 191 · see citing works
Theory of oscillatory firing induced by spatially correlated noise and delayed inhibitory feedback
Lindner, B., Doiron, B., & Longtin, A. (2005) · Physical Review E · doi:10.1103/physreve.72.061919 · Cited by 175 · see citing works
Richardson, M. J. E. (2007) · Physical Review E · doi:10.1103/physreve.76.021919 · Cited by 141 · see citing works
Shea-Brown, E., Josić, K., de la Rocha, J., & Doiron, B. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.108102 · Cited by 131 · see citing works
Self-citationFiring-Rate Response of a Neuron Receiving Excitatory and Inhibitory Synaptic Shot Noise
Richardson, M. J. E., & Swarbrick, R. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.178102 · Cited by 105 · see citing works
Vilela, R. D., & Lindner, B. (2009) · Physical Review E · doi:10.1103/physreve.80.031909 · Cited by 78 · see citing works
Dependence of Neuronal Correlations on Filter Characteristics and Marginal Spike Train Statistics
Tetzlaff, T., Rotter, S., Stark, E., Abeles, M., Aertsen, A., & Diesmann, M. (2008) · Neural Computation · doi:10.1162/neco.2008.05-07-525 · Cited by 72 · see citing works
Spike-train spectra and network response functions for non-linear integrate-and-fire neurons
Richardson, M. J. E. (2008) · Biological Cybernetics · doi:10.1007/s00422-008-0244-y · Cited by 67 · see citing works
Multiunit Normalized Cross Correlation Differs from the Average Single-Unit Normalized Correlation
Bedenbaugh, P. H., & Gerstein, G. L. (1997) · Neural Computation · doi:10.1162/neco.1997.9.6.1265 · Cited by 66 · see citing works
Pooling and correlated neural activity
Rosenbaum, R. (2010) · Frontiers in Computational Neuroscience · doi:10.3389/fncom.2010.00009 · Cited by 45 · see citing works
Self-citationSpike Onset Dynamics and Response Speed in Neuronal Populations
Wei, W., & Wolf, F. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.088102 · Cited by 42 · see citing works
Mechanisms That Modulate the Transfer of Spiking Correlations
Rosenbaum, R., & Josić́, K. (2011) · Neural Computation · doi:10.1162/neco_a_00116 · Cited by 39 · see citing works
Self-citationCorrelations between Groups of Premotor Neurons Carry Information about Prehension
Stark, E., Globerson, A., Asher, I., & Abeles, M. (2008) · Journal of Neuroscience · doi:10.1523/jneurosci.3418-08.2008 · Cited by 36 · see citing works
Estimating Membrane Voltage Correlations From Extracellular Spike Trains
Dorn, J. D., & Ringach, D. L. (2003) · Journal of Neurophysiology · doi:10.1152/jn.000889.2002 · Cited by 35 · see citing works
Instantaneous Non-Linear Processing by Pulse-Coupled Threshold Units
Helias, M., Deger, M., Rotter, S., & Diesmann, M. (2010) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1000929 · Cited by 33 · see citing works
The Effects of Pooling on Spike Train Correlations
Rosenbaum, R., Trousdale, J., & Josić́, K. (2011) · Frontiers in Neuroscience · doi:10.3389/fnins.2011.00058 · Cited by 26 · see citing works
Self-citationMultivariate Counting Processes: Copulas and Beyond
Bäuerle, N., & Grübel, R. (2005) · Astin Bulletin · doi:10.2143/ast.35.2.2003459 · Cited by 26 · see citing works
Finite Post Synaptic Potentials Cause a Fast Neuronal Response
Helias, M., Deger, M., Rotter, S., & Diesmann, M. (2011) · Frontiers in Neuroscience · doi:10.3389/fnins.2011.00019 · Cited by 11 · see citing works
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Mechanisms underlying gain modulation in the cortex
Ferguson, K. A., & Cardin, J. A. (2020) · Nature Reviews Neuroscience · doi:10.1038/s41583-019-0253-y · Cited by 327 · see citing works
- Authors
- Rosenbaum, R., & Josić, K.
- Affiliations
- University of Houston (US)
- ORCID
- Rosenbaum, Robert
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2011-11-04
- Volume
- 84
- Issue
- 5
- Pages
- 051902-051902
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2315333471
- Cited by
- 5
- References
- 35
- Citations by year
- 2020: 1 · 2014: 1 · 2013: 2
- FWCI
- 0.65
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Physical Review E (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Science Foundation
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › stochastic dynamics and bifurcation
- Life Sciences › Neuroscience › Cellular and Molecular Neuroscience › Neuroscience and Neuropharmacology Research
- Keywords
- spike train statistics, input statistics, input correlation, neural coding, firing rate, subthreshold activity
- MeSH terms
- Action Potentials, Models, Neurological, Neurons, Time Factors, Electrophysiological Phenomena
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