ThatAIguyA world of ideas

THE CONSCIOUSNESS ATLAS
Read. Experiment. Follow the evidence.

ConsciousnessLearn · Explore · Joseph Anady

NMDA conductance current with voltage-dependent block

This current uses the same conductance-times-driving-force structure as the AMPA expression, multiplied by B(V). The additional factor reduces current under magnesium block and changes with membrane voltage. The code separately tracks a rising variable and a slowly…

Implementation mathematicsSource recovered; runtime not executed
Learn with the Atlas

Learn to read this model

Start with the symbols, follow the operations, and check what the result means.

Open guided lesson
gh-eq-5f20121f7d9d46f4source-comment-equation
INMDA=gNMDA∗s∗B(V)∗(V−ENMDA)I_NMDA = g_NMDA * s * B(V) * (V - E_NMDA)

Read the equation

This current uses the same conductance-times-driving-force structure as the AMPA expression, multiplied by B(V). The additional factor reduces current under magnesium block and changes with membrane voltage. The code separately tracks a rising variable and a slowly decaying synaptic state.

Terms & definitions

TermMeaning in this source
g_NMDA

Maximum conductance

s

Synaptic state

B

Voltage-dependent block factor

E_NMDA

Reversal potential

How it works

Read the definition from its right-hand expression to the quantity on the left. Its surrounding source records the intended input, state, or parameter context. Where the source leaves an operation unspecified, this page preserves that gap.

Assumptions & limits

Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.

Original context

Read the surrounding source passage
    void step(float dt) {
        s *= std::exp(-dt / tau);
    }
};

// NMDA Receptor (slow excitatory, voltage-dependent Mg2+ block)
// I_NMDA = g_NMDA * s * B(V) * (V - E_NMDA)
// B(V) = 1 / (1 + [Mg2+]_o * exp(-0.062*V) / 3.57)
struct NMDASynapse {
    float g_max = 0.5f;      // nS
    float E_rev = 0.0f;      // mV
    float tau_rise = 2.0f;   // ms
    float tau_decay = 100.0f;// ms - NMDA is slow!
    float Mg_o = 1.0f;       // mM - External Mg2+ concentration
    float s = 0.0f;
    float x = 0.0f;          // Rise variable
Exact original notation
I_NMDA = g_NMDA * s * B(V) * (V - E_NMDA)

Related builds

Sources & provenance

01
C++ neural model components
Lines 211–211 · 33aa84f2aa61
02
C++ neural model components
Lines 211–211 · 33aa84f2aa61

Search equations, builds, manuscript text, and recovered sources.