A kinetic model unifying presynaptic short-term facilitation and depression (Lee et al. 2009)

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"... Here, we propose a unified theory of synaptic short-term plasticity based on realistic yet tractable and testable model descriptions of the underlying intracellular biochemical processes. Analysis of the model equations leads to a closed-form solution of the resonance frequency, a function of several critical biophysical parameters, as the single key indicator of the propensity for synaptic facilitation or depression under repetitive stimuli. This integrative model is supported by a broad range of transient and frequency response experimental data including those from facilitating, depressing or mixed-mode synapses. ... the model provides the reasons behind the switching behavior between facilitation and depression observed in experiments. ..."
1 . Lee CC, Anton M, Poon CS, McRae GJ (2009) A kinetic model unifying presynaptic short-term facilitation and depression. J Comput Neurosci 26:459-73 [PubMed]
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Model Information (Click on a link to find other models with that property)
Model Type: Synapse;
Brain Region(s)/Organism:
Cell Type(s): Hippocampus CA1 pyramidal GLU cell; Cerebellum Purkinje GABA cell; Auditory nerve;
Channel(s): I Calcium;
Gap Junctions:
Receptor(s): AMPA;
Transmitter(s): Glutamate;
Simulation Environment: MATLAB; Simulink;
Model Concept(s): Synaptic Plasticity; Facilitation; Depression; Calcium dynamics;
Implementer(s): Lee, Chuang-Chung [chchlee at alum.mit.edu]; Anton, Mihai [mianton at mit.edu]; Poon, Chi-Sang [cpoon at mit.edu]; McRae, Gregory [mcrae at mit.edu];
Search NeuronDB for information about:  Hippocampus CA1 pyramidal GLU cell; Cerebellum Purkinje GABA cell; AMPA; I Calcium; Glutamate;
function mixture_temp

% ========================================================================
% This file is part of the Supplemental Codes of the manuscript 
% entitled "A Kinetic Model Unifying Presynaptic Short-Term Facilitation 
% and Depression" accepted by Journal of Compuational Neuroscience.  
% (Manucript No. #JCNS583R2).
% Authors: Chuang-Chung J. Lee, Mihai Anton, Chi-Sang Poon, Gregory McRae 
% Created by Chuang-Chung J. Lee 
% Created in Sep. '07.
% Latest modified in Oct. '08.
% ========================================================================

% ------------------------------------------------------------------------
% This function calculates the transient response of 
% synapses under mixed effects and plots both experimental & simulated
% results.  The Probability of release and Ratio of realeasable vehsicle
% resposes are also output.  
% Equations used: Eq. (1) - (7)

% Experimental Data source: Henry Markram et al. (1998), differential 
% signaling via the same axon of neocortical pyramidal neurons, PNAS, 
% 95:5323–5328.

% Output: Figure 5C and 5D.  Synaptic plasticity in rat pyramidal neurons 
% under mixed effects. C, The transient EPSP caused by stimuli at 30 Hz. 
% D, The corresponding transient releasable vesicle ratio and release 
% probability by model.
% ------------------------------------------------------------------------

close all

% ---Retrieve and plot the experimental and simulation data of EPSP-------
cd Input;
hold on
cd ..

cd Output
load sim_mixture;
load RPrel_mixture;
cd ..


xlabel('Time (ms)','FontSize', 14);
ylabel ('EPSP (mV)','FontSize', 14)
axis([0 800 0 25])

% ------------------Plot Prel and Rrel---------------------
axis([0 800 0 1])
ylabel ('R_r_e_l (t)','FontSize', 14);

axis([0 800 0 1])
xlabel('Time (ms)','FontSize', 14);
ylabel ('P_r_e_l (t)','FontSize', 14);