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Equation 1 · Part 5 · From Origins to Frontier: A History of Systems and Computational Neuroscience

Symbol barg_Na

CmdVdt=−gˉNam3h(V−ENa)−gˉKn4(V−EK)−gL(V−EL)+IextC_m \frac{dV}{dt} = -\bar{g}_{Na} m^3 h (V - E_{Na}) - \bar{g}_K n^4 (V - E_K) - g_L (V - E_L) + I_{ext}
gˉNa\bar{g}_{Na}

What this part means

bargNg_Na is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

bargNg_Na is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

The model’s core equation describes membrane current as the sum of capacitive, sodium, potassium, and leak components: CmdVdt=−gˉNam3h(V−ENa)−gˉKn4(V−EK)−gL(V−EL)+IextC_m \frac{dV}{dt} = -\bar{g}_{Na} m^3 h (V - E_{Na}) - \bar{g}_K n^4 (V - E_K) - g_L (V - E_L) + I_{ext}. where m , h , and n are voltage- and time-dependent gating variables each obeying their own first-order kinetics. This is worth stating in full because it is the paradigm the rest of the field either extends or reacts against: a biophysical mechanism, expressed as a dynamical system, fit to directly measured current, with no free parameter standing in for an unmeasured process. It is why the model is still taught unmodified, and why its two authors and John Eccles shared the 1963 Nobel Prize in Physiology or Medicine. It is also, strictly, a model of one…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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