The calcitron model and calcium-based plasticity rules.

<p><b>(A)</b> Sources of Ca<sup>2+</sup> at the synapse. Local glutamate release from an activated presynaptic axon binds to an NMDA receptor in the postsynaptic dendritic spine, enabling local Ca<sup>2+</sup> influx. Depolarization of the neuron opens volta...

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Main Author: Toviah Moldwin (10866708) (author)
Other Authors: Li Shay Azran (20636768) (author), Idan Segev (32620) (author)
Published: 2025
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author Toviah Moldwin (10866708)
author2 Li Shay Azran (20636768)
Idan Segev (32620)
author2_role author
author
author_facet Toviah Moldwin (10866708)
Li Shay Azran (20636768)
Idan Segev (32620)
author_role author
dc.creator.none.fl_str_mv Toviah Moldwin (10866708)
Li Shay Azran (20636768)
Idan Segev (32620)
dc.date.none.fl_str_mv 2025-01-29T18:38:59Z
dc.identifier.none.fl_str_mv 10.1371/journal.pcbi.1012754.g001
dc.relation.none.fl_str_mv https://figshare.com/articles/figure/The_Calcitron_model_and_calcium-based_plasticity_rules_/28306016
dc.rights.none.fl_str_mv CC BY 4.0
info:eu-repo/semantics/openAccess
dc.subject.none.fl_str_mv Biophysics
Cell Biology
Neuroscience
Physiology
Science Policy
Infectious Diseases
Space Science
Biological Sciences not elsewhere classified
Information Systems not elsewhere classified
provide supervisory signals
like neuron model
derived rules relate
calcium control hypothesis
machine learning researchers
relates synaptic plasticity
implement homeostatic plasticity
different rules might
simple neuron model
div >< p
unsupervised learning tasks
theoretical learning algorithms
learning rules
unsupervised recognition
theoretical neuroscientists
different contexts
calcium source
calcium influx
shot learning
plasticity thresholds
plasticity protocols
dependent plasticity
wide range
synapses ),
synapse ),
study shows
study bridges
postsynaptic spike
mechanistically implemented
local </
inspired one
heterosynaptic </
four sources
excitatory synapse
effectively perform
diverse array
dependent </
dendritic spines
biological mechanisms
biological counterparts
always clear
dc.title.none.fl_str_mv The calcitron model and calcium-based plasticity rules.
dc.type.none.fl_str_mv Image
Figure
info:eu-repo/semantics/publishedVersion
image
description <p><b>(A)</b> Sources of Ca<sup>2+</sup> at the synapse. Local glutamate release from an activated presynaptic axon binds to an NMDA receptor in the postsynaptic dendritic spine, enabling local Ca<sup>2+</sup> influx. Depolarization of the neuron opens voltage-gated calcium channels (VGCCs), enabling calcium influx from global signals. (Glutamate also binds to AMPA receptors, enabling Na<sup>+</sup> influx, and depolarization also affects NMDAR conductance.) <b>(B)</b> Possible sources of Ca<sup>2+</sup> influx in a neuron. Ca<sup>2+</sup> can enter due to presynaptic input (), heterosynaptically-induced depolarization of VGCCs (), the backpropagating action potential () or a supervisory signal, such as a calcium plateau induced by input to the apical tuft () (Neuron image courtesy of Dean Geckt and MICrONs Consortium [<a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1012754#pcbi.1012754.ref080" target="_blank">80</a>]). <b>(C)</b> The four Ca<sup>2+</sup> sources in a point neuron model. Each Ca<sup>2+</sup> source is associated with a respective coefficient ( determining how much Ca<sup>2+</sup> comes from each source. <b>(D)</b> The calcium control hypothesis. [Ca<sup>2+</sup>] below induces no change, [Ca<sup>2+</sup>] between and induces depression, and [Ca<sup>2+</sup>] above induces potentiation. <b>(E)</b> Weight change as a function of calcium in the linear version of Ca<sup>2+</sup>-based plasticity, as in (D), shown as phase plane. Magnitude of weight change is independent of current weight. Blue indicates depression, red indicates potentiation, white indicates no change. <b>(F)</b> Step stimulus to show the plastic effect of different levels of . is either raised to a depressive level (, blue line) or to a potentiative level (, red line) for several timesteps, then reduced to 0. S and E refer to the start and end of the calcium step. <b>(G)</b> Dynamics of the linear rule in response to the step stimulus from (F). Synaptic weights increase or decrease linearly in response to the potentiative or depressive levels of calcium (red and blue traces, respectively), then remain stable after calcium is turned off. <b>(H)</b> Fixed points (black) and learning rates (pink) in the asymptotic fixed point – learning rate (FPLR) version of the calcium control hypothesis. <b>(I)</b> Weight change as a function of [Ca<sup>2+</sup>] for different values of the present synaptic weight. Darker colors indicate higher weights. <b>(J)</b> Phase plane of weight changes for the FPLR rule. <b>(K)</b> Stimulus to demonstrate FPLR rule, identical to F. <b>(L)</b> Dynamics of the FPLR rule. Synaptic weights potentiate or depress asymptotically toward the potentiative (w<sub>max</sub>, 1) or depressive (w<sub>min</sub>, 0) fixed point.</p>
eu_rights_str_mv openAccess
id Manara_fec65cdc7cede602e6bb03b1db6b8828
identifier_str_mv 10.1371/journal.pcbi.1012754.g001
network_acronym_str Manara
network_name_str ManaraRepo
oai_identifier_str oai:figshare.com:article/28306016
publishDate 2025
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spelling The calcitron model and calcium-based plasticity rules.Toviah Moldwin (10866708)Li Shay Azran (20636768)Idan Segev (32620)BiophysicsCell BiologyNeurosciencePhysiologyScience PolicyInfectious DiseasesSpace ScienceBiological Sciences not elsewhere classifiedInformation Systems not elsewhere classifiedprovide supervisory signalslike neuron modelderived rules relatecalcium control hypothesismachine learning researchersrelates synaptic plasticityimplement homeostatic plasticitydifferent rules mightsimple neuron modeldiv >< punsupervised learning taskstheoretical learning algorithmslearning rulesunsupervised recognitiontheoretical neuroscientistsdifferent contextscalcium sourcecalcium influxshot learningplasticity thresholdsplasticity protocolsdependent plasticitywide rangesynapses ),synapse ),study showsstudy bridgespostsynaptic spikemechanistically implementedlocal </inspired oneheterosynaptic </four sourcesexcitatory synapseeffectively performdiverse arraydependent </dendritic spinesbiological mechanismsbiological counterpartsalways clear<p><b>(A)</b> Sources of Ca<sup>2+</sup> at the synapse. Local glutamate release from an activated presynaptic axon binds to an NMDA receptor in the postsynaptic dendritic spine, enabling local Ca<sup>2+</sup> influx. Depolarization of the neuron opens voltage-gated calcium channels (VGCCs), enabling calcium influx from global signals. (Glutamate also binds to AMPA receptors, enabling Na<sup>+</sup> influx, and depolarization also affects NMDAR conductance.) <b>(B)</b> Possible sources of Ca<sup>2+</sup> influx in a neuron. Ca<sup>2+</sup> can enter due to presynaptic input (), heterosynaptically-induced depolarization of VGCCs (), the backpropagating action potential () or a supervisory signal, such as a calcium plateau induced by input to the apical tuft () (Neuron image courtesy of Dean Geckt and MICrONs Consortium [<a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1012754#pcbi.1012754.ref080" target="_blank">80</a>]). <b>(C)</b> The four Ca<sup>2+</sup> sources in a point neuron model. Each Ca<sup>2+</sup> source is associated with a respective coefficient ( determining how much Ca<sup>2+</sup> comes from each source. <b>(D)</b> The calcium control hypothesis. [Ca<sup>2+</sup>] below induces no change, [Ca<sup>2+</sup>] between and induces depression, and [Ca<sup>2+</sup>] above induces potentiation. <b>(E)</b> Weight change as a function of calcium in the linear version of Ca<sup>2+</sup>-based plasticity, as in (D), shown as phase plane. Magnitude of weight change is independent of current weight. Blue indicates depression, red indicates potentiation, white indicates no change. <b>(F)</b> Step stimulus to show the plastic effect of different levels of . is either raised to a depressive level (, blue line) or to a potentiative level (, red line) for several timesteps, then reduced to 0. S and E refer to the start and end of the calcium step. <b>(G)</b> Dynamics of the linear rule in response to the step stimulus from (F). Synaptic weights increase or decrease linearly in response to the potentiative or depressive levels of calcium (red and blue traces, respectively), then remain stable after calcium is turned off. <b>(H)</b> Fixed points (black) and learning rates (pink) in the asymptotic fixed point – learning rate (FPLR) version of the calcium control hypothesis. <b>(I)</b> Weight change as a function of [Ca<sup>2+</sup>] for different values of the present synaptic weight. Darker colors indicate higher weights. <b>(J)</b> Phase plane of weight changes for the FPLR rule. <b>(K)</b> Stimulus to demonstrate FPLR rule, identical to F. <b>(L)</b> Dynamics of the FPLR rule. Synaptic weights potentiate or depress asymptotically toward the potentiative (w<sub>max</sub>, 1) or depressive (w<sub>min</sub>, 0) fixed point.</p>2025-01-29T18:38:59ZImageFigureinfo:eu-repo/semantics/publishedVersionimage10.1371/journal.pcbi.1012754.g001https://figshare.com/articles/figure/The_Calcitron_model_and_calcium-based_plasticity_rules_/28306016CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/283060162025-01-29T18:38:59Z
spellingShingle The calcitron model and calcium-based plasticity rules.
Toviah Moldwin (10866708)
Biophysics
Cell Biology
Neuroscience
Physiology
Science Policy
Infectious Diseases
Space Science
Biological Sciences not elsewhere classified
Information Systems not elsewhere classified
provide supervisory signals
like neuron model
derived rules relate
calcium control hypothesis
machine learning researchers
relates synaptic plasticity
implement homeostatic plasticity
different rules might
simple neuron model
div >< p
unsupervised learning tasks
theoretical learning algorithms
learning rules
unsupervised recognition
theoretical neuroscientists
different contexts
calcium source
calcium influx
shot learning
plasticity thresholds
plasticity protocols
dependent plasticity
wide range
synapses ),
synapse ),
study shows
study bridges
postsynaptic spike
mechanistically implemented
local </
inspired one
heterosynaptic </
four sources
excitatory synapse
effectively perform
diverse array
dependent </
dendritic spines
biological mechanisms
biological counterparts
always clear
status_str publishedVersion
title The calcitron model and calcium-based plasticity rules.
title_full The calcitron model and calcium-based plasticity rules.
title_fullStr The calcitron model and calcium-based plasticity rules.
title_full_unstemmed The calcitron model and calcium-based plasticity rules.
title_short The calcitron model and calcium-based plasticity rules.
title_sort The calcitron model and calcium-based plasticity rules.
topic Biophysics
Cell Biology
Neuroscience
Physiology
Science Policy
Infectious Diseases
Space Science
Biological Sciences not elsewhere classified
Information Systems not elsewhere classified
provide supervisory signals
like neuron model
derived rules relate
calcium control hypothesis
machine learning researchers
relates synaptic plasticity
implement homeostatic plasticity
different rules might
simple neuron model
div >< p
unsupervised learning tasks
theoretical learning algorithms
learning rules
unsupervised recognition
theoretical neuroscientists
different contexts
calcium source
calcium influx
shot learning
plasticity thresholds
plasticity protocols
dependent plasticity
wide range
synapses ),
synapse ),
study shows
study bridges
postsynaptic spike
mechanistically implemented
local </
inspired one
heterosynaptic </
four sources
excitatory synapse
effectively perform
diverse array
dependent </
dendritic spines
biological mechanisms
biological counterparts
always clear