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 analytical_freq

% ========================================================================
% 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 
% presynapses by both simulation and average approximation
% Equations used: Eq. (9) and Eq. (10)
% Files used: Root/Output/Cass_freq.mat and Root/Output/Rrelss_freq.mat
% Output: Figure 2. The instantaneous time courses of key biophysical 
% variables caused by impulses and the average time courses.
% ------------------------------------------------------------------------

close all

% Retrieve steady state calcium concentrration and ratio of releasable 
% vesicles from the simulation results

cd Output
load SteadyState_Cass;
load SteadyState_Rrelss;
cd ..

% Plot the steady state calcium concentrration
hold on
hold on
plot([50 350],[4.7 4.7],'k-','LineWidth',1.0);
xlabel('Time (ms)','FontSize', 14);
ylabel ('Ca_i (\mu M)','FontSize', 14)
legend('Ca_i by impulse','Ca_i on average','Location', 'Northwest')
legend boxoff
axis([0 400 4 12])
text(200,5,'Ca_i_0','FontSize', 14)
text(200,11,'K_C_aI_C_a','FontSize', 14)

% Plot the steady state ratio of releasable vesicles
hold on
xlabel('Time (ms)','FontSize', 14);
ylabel ('R_r_e_l','FontSize', 14);
axis([0 400 0 1.1])
legend('R_r_e_l by impulse','R_r_e_l on average','Location', 'Northeast')
legend boxoff
% Additional labeling for the figure
text(300,0.2,'k_r_e_c_o_v_,_s_s','FontSize', 14)
text(300,0.7,'k_r_e_c_o_v_,_s_s +  P_r_e_l_,_s_sI_C_a','FontSize', 14)