Storing covariance with nonlinearly interacting neurons
Abstract
A time-dependent, nonlinear model of neuronal interaction which was probabilistically analyzed in a previous article is shown here to be a natural generalization of the Hartline-Ratliff model of the Limulus retina. Although the primary physical variables in the model are the membrane potentials of neurons, the equations which govern the means and covariances of the membrane potentials are coupled through the average firing rates; as a consequence, the average firing rates control the selective storage and retrieval of covariance information. Motor learning in the cerebellar cortex is treated as a problem of covariance storage, and a predicition is made for the underlying synaptic plasticity: the change in synaptic strength between a parallel fiber and a Purkinje cell should be proportional to the covariance between discharges in the parallel fiber and the climbing fiber. Unlike previous proposals for synaptic plasticity, this prediction requires both facilitation and depression to occur (under different conditions) at the same synapse.
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xLSTM: Extended Long Short-Term Memory
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xLSTM: Extended Long Short-Term Memory
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Ramachandran, S., Meyer, T., & Olson, C. R. (2016) · Journal of Neurophysiology · doi:10.1152/jn.00091.2015 · Cited by 38 · see citing works
- Authors
- Sejnowski, T. J.
- Venue
- Journal of Mathematical Biology
- Published
- 1977
- Volume
- 4
- Issue
- 4
- Pages
- 303-321
- ISSN
- 0303-6812 (ISSN-L)
- 1432-1416
- OpenAlex
- W2125001634
- Cited by
- 546
- References
- 2
- Citations by year
- 2026: 4 · 2025: 11 · 2024: 9 · 2023: 28 · 2022: 6 · 2021: 10 · 2020: 9 · 2019: 7 · 2018: 14 · 2017: 10 · 2016: 8 · 2015: 9 · 2014: 10 · 2013: 10 · 2012: 18
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Journal of Mathematical Biology (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
- Life Sciences › Neuroscience › Cellular and Molecular Neuroscience › Neuroscience and Neuropharmacology Research
- Physical Sciences › Computer Science › Artificial Intelligence › Neural Networks and Applications
- Keywords
- membrane potential, firing rate, cerebellar motor learning, synaptic plasticity, parallel fiber-Purkinje cell synapse, climbing fibers
- MeSH terms
- Cerebellum, Information Theory, Learning, Membrane Potentials, Memory, Models, Neurological, Motor Activity, Neurons, Probability
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