Potassium activation opening rate

Read the equation

The rate α_n contributes α_n(1−n) to potassium-gate opening. The expression has a removable singularity at V=−55 mV, with limit 0.1 per millisecond. The implementation supplies that limit explicitly near the singular point.

Terms & definitions

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

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Original context

    }

    // β_h(V) = 1/(1+exp(-(V+35)/10))
    float beta_h(float V_) const {
        return 1.0f / (1.0f + std::exp(-(V_ + 35.0f) / 10.0f));
    }

    // α_n(V) = 0.01(V+55)/(1-exp(-(V+55)/10))
    float alpha_n(float V_) const {
        float x = V_ + 55.0f;
        if (std::abs(x) < 1e-6f) return 0.1f;
        return 0.01f * x / (1.0f - std::exp(-x / 10.0f));
    }

    // β_n(V) = 0.125*exp(-(V+65)/80)
    float beta_n(float V_) const {
        return 0.125f * std::exp(-(V_ + 65.0f) / 80.0f);
    }

α_n(V) = 0.01(V+55)/(1-exp(-(V+55)/10))

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