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ConsciousnessLearn · Explore · Joseph Anady

AMPA conductance current

The synaptic current equals maximum conductance times the gating state times the voltage difference from its reversal potential. Its sign is determined by V−E_AMPA under the file’s outward-current convention. With conductance in nanosiemens and voltage in millivolts,…

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gh-eq-a8e2dd0844e0b905source-comment-equation
IAMPA=gAMPA∗s∗(V−EAMPA)I_AMPA = g_AMPA * s * (V - E_AMPA)

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The synaptic current equals maximum conductance times the gating state times the voltage difference from its reversal potential. Its sign is determined by V−E_AMPA under the file’s outward-current convention. With conductance in nanosiemens and voltage in millivolts, the current is in picoamperes; combining it with current densities requires a cell-area conversion.

Terms & definitions

TermMeaning in this source
g_AMPA

Maximum conductance

s

Synaptic gating state

V

Postsynaptic voltage

E_AMPA

Reversal potential

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Original context

Read the surrounding source passage
// ═══════════════════════════════════════════════════════════════════════════════
// SYNAPTIC TRANSMISSION
// Models for AMPA, NMDA, and GABA receptors
// ═══════════════════════════════════════════════════════════════════════════════

// AMPA Receptor (fast excitatory)
// I_AMPA = g_AMPA * s * (V - E_AMPA)
// ds/dt = -s/τ_AMPA + Σ_j δ(t - t_j)
struct AMPASynapse {
    float g_max = 0.35f;     // nS - Maximum conductance
    float E_rev = 0.0f;      // mV - Reversal potential
    float tau = 2.0f;        // ms - Decay time constant
    float s = 0.0f;          // Synaptic variable

    float current(float V_post) const {
        return g_max * s * (V_post - E_rev);
    }
Exact original notation
I_AMPA = g_AMPA * s * (V - E_AMPA)

Related builds

Sources & provenance

01
C++ neural model components
Lines 189–189 · 33aa84f2aa61
02
C++ neural model components
Lines 189–189 · 33aa84f2aa61

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