A model of the roles of essential kinases in the induction and expression of late long-term potentiation.

Publication Date



Biophys J. 2006 Apr 15;90(8):2760-75. Epub 2006 Jan 13.Click here to read


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.


Animals, Calcium, Calcium-Calmodulin-Dependent Protein Kinase Type 2, Calcium-Calmodulin-Dependent Protein Kinase Type 4, Calcium-Calmodulin-Dependent Protein Kinases, Computer Simulation, Cyclic AMP, Cyclic AMP-Dependent Protein Kinases, Enzyme Activation, Hippocampus, Humans, Long-Term Potentiation, Mitogen-Activated Protein Kinases, Models, Neurological, Protein-Serine-Threonine Kinases, Synapses, Transcriptional Activation


PMCID: PMC1414565

doi: 10.1529/biophysj.105.072470

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