A Model of the Roles of Essential Kinases in the Induction and Expression of Late Long-Term Potentiation
Open accessAbstract
The induction of late long-term potentiation (L-LTP) involves complex interactions among second-messenger cascades. To gain insights into these interactions, a mathematical model was developed for L-LTP induction in the CA1 region of the hippocampus. The differential equation-based model represents actions of protein kinase A (PKA), MAP kinase (MAPK), and CaM kinase II (CAMKII) in the vicinity of the synapse, and activation of transcription by CaM kinase IV (CAMKIV) and MAPK. L-LTP is represented by increases in a synaptic weight. Simulations suggest that steep, supralinear stimulus-response relationships between stimuli (e.g., elevations in [Ca(2+)]) and kinase activation are essential for translating brief stimuli into long-lasting gene activation and synaptic weight increases. Convergence of multiple kinase activities to induce L-LTP helps to generate a threshold whereby the amount of L-LTP varies steeply with the number of brief (tetanic) electrical stimuli. The model simulates tetanic, -burst, pairing-induced, and chemical L-LTP, as well as L-LTP due to synaptic tagging. The model also simulates inhibition of L-LTP by inhibition of MAPK, CAMKII, PKA, or CAMKIV. The model predicts results of experiments to delineate mechanisms underlying L-LTP induction and expression. For example, the cAMP antagonist RpcAMPs, which inhibits L-LTP induction, is predicted to inhibit ERK activation. The model also appears useful to clarify similarities and differences between hippocampal L-LTP and long-term synaptic strengthening in other systems.
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Models have simulated the activity time courses of PKA, CaMKII, other key enzymes and downstream transcription factors during LTP induction.
“Models have also simulated the activity time courses of PKA, calcium/calmodulin-dependent protein kinase II (CaMKII), other key enzymes and downstream transcription factors during LTP induction88–90.”
From The right time to learn: Mechanisms and optimization of spaced learning (2016) · cites this paper as [88]
Simulations have reproduced the dynamics of MAPK during LTP induction.
“Simulations have reproduced the dynamics of MAPK during LTP induction80,86,88.”
From The right time to learn: Mechanisms and optimization of spaced learning (2016) · cites this paper as [88]
Models have described the dynamics of biochemical reactions that transduce stimuli into LTP.
“In recent years, models have described the dynamics of the biochemical reactions that transduce stimuli into LTP86–88.”
From The right time to learn: Mechanisms and optimization of spaced learning (2016) · cites this paper as [88]
In model development, data from several preparation types and species commonly need to be used to estimate different parameters.
“In model development, data from several preparation types (for example, cell cultures and slices) and species (for example, primates and rodents) commonly need to be used to estimate different parameters86,88.”
From The right time to learn: Mechanisms and optimization of spaced learning (2016) · cites this paper as [88]
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The right time to learn: Mechanisms and optimization of spaced learning
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Self-citation
- Authors
- Smolen, P., Baxter, D. A., & Byrne, J. H.
- Affiliations
- The University of Texas Health Science Center at Houston (US)
- Corresponding author
- Byrne, John H.
- Venue
- Biophysical Journal
- Publisher
- Elsevier BV
- Published
- 2006-04
- Volume
- 90
- Issue
- 8
- Pages
- 2760-2775
- ISSN
- 0006-3495 (ISSN-L)
- PMC
- PMC1414565
- OpenAlex
- W2000894573
- Cited by
- 61
- References
- 112
- Citations by year
- 2026: 3 · 2025: 4 · 2024: 1 · 2023: 1 · 2022: 2 · 2021: 3 · 2020: 2 · 2019: 3 · 2018: 5 · 2017: 2 · 2016: 4 · 2015: 2 · 2014: 3 · 2013: 3 · 2012: 1
- FWCI
- 1.90
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Biophysical Journal (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Digital Commons-TMC (Texas Medical Center) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Institutes of Health (P01 NS38310, R01 NS50532)
- Topics
- Life Sciences › Neuroscience › Cellular and Molecular Neuroscience › Neuroscience and Neuropharmacology Research
- Life Sciences › Neuroscience › Cognitive Neuroscience › Memory and Neural Mechanisms
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
- Keywords
- protein kinase A, mitogen-activated protein kinase, CaM kinase II, transcriptional activation, synaptic plasticity, hippocampal CA1, tetanic stimulation, synaptic tagging, ERK inhibition, stimulus-response relationship
- MeSH terms
- Cyclic AMP, Animals, Calcium, Computer Simulation, Enzyme Activation, Hippocampus, Humans, Models, Neurological, Synapses, Transcriptional Activation, Protein Serine-Threonine Kinases, Long-Term Potentiation, Cyclic AMP-Dependent Protein Kinases, Calcium-Calmodulin-Dependent Protein Kinases, Mitogen-Activated Protein Kinases, Calcium-Calmodulin-Dependent Protein Kinase Type 2, Calcium-Calmodulin-Dependent Protein Kinase Type 4
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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