The potassium equilibrium potential is a critical aspect of membrane potential in neurons. It refers to the electrical potential difference across the neuronal membrane that precisely balances the concentration gradient for potassium ions (K+).In simpler terms, it's the voltage at which there is no net flow of potassium ions in or out of the neuron. This is achieved when the outward chemical gradient of potassium ions, driving them out of the cell, is perfectly balanced by the inward electrical gradient attracting them back into the cell.
Mathematically, it can be determined using the Nernst equation:
- \[ E_{K} = \frac{RT}{zF} \ln \left( \frac{[K^+]_{outside}}{[K^+]_{inside}} \right) \]
where:
- \(E_{K}\) is the equilibrium potential for potassium,
- \(R\) is the gas constant,
- \(T\) is the absolute temperature,
- \(z\) is the charge of the ion, and
- \(F\) is Faraday's constant.
It's essential to understand that while the potassium equilibrium potential plays a significant role in the resting membrane potential, the membrane potential itself is not exactly equal to the potassium equilibrium potential because of the influence of other ions like sodium (Na+) and chloride (Cl-). This makes the resting membrane potential somewhat less negative than the potassium equilibrium potential.