PMID: 9540047Apr 16, 1998Paper

A mathematical model of the cerebellar-olivary system I: self-regulating equilibrium of climbing fiber activity

Journal of Computational Neuroscience
G T KenyonMichael D Mauk

Abstract

We use a mathematical model to investigate how climbing fiber-dependent plasticity at granule cell to Purkinje cell (gr-->Pkj) synapses in the cerebellar cortex is influenced by the synaptic organization of the cerebellar-olivary system. Based on empirical studies, gr-->Pkj synapses are assumed to decrease in strength when active during a climbing fiber input (LTD) and increase in strength when active without a climbing fiber input (LTP). Results suggest that the inhibition of climbing fibers by cerebellar output combines with LTD/P to self-regulate spontaneous climbing fiber activity to an equilibrium level at which LTP and LTD balance and the expected net change in gr-->Pkj synaptic weights is zero. The synaptic weight vector is asymptotically confined to an equilibrium hyperplane defining the set of all possible combinations of synaptic weights consistent with climbing fiber equilibrium. Results also suggest restrictions on LTP/D at gr-->Pkj synapses required to produce synaptic weights that do not drift spontaneously.

Citations

May 1, 2020·ELife·David J HerzfeldStephen G Lisberger
Feb 12, 1998·Proceedings of the National Academy of Sciences of the United States of America·G T Kenyon
Oct 24, 2007·The European Journal of Neuroscience·Tadashi Yamazaki, Shigeru Tanaka
Apr 28, 2011·The Journal of Physiology·Marylka Uusisaari, Erik De Schutter
Mar 11, 2011·Journal of Neurophysiology·Scott A NorrisW Thomas Thach
Nov 26, 2009·Biological cybernetics·Fredrick H Rothganger, Thomas J Anastasio
Feb 13, 2003·Annals of the New York Academy of Sciences·Tatsuya OhyamaMichael D Mauk
Feb 10, 2020·Epilepsy & Behavior : E&B·Martha L Streng, Esther Krook-Magnuson
Nov 19, 2014·Learning & Memory·Kevin L Brown, John H Freeman
Oct 5, 2011·Learning & Memory·John H Freeman, Adam B Steinmetz

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