Goldman Equation

Compute the Goldman-Hodgkin-Katz steady-state membrane potential at 37 degrees Celsius with the z=+1 cation form for potassium and sodium and inverted terms for chloride: VM = 61.5 x log10((pK x KOut + pNa x NaOut + pCl x ClIn) / (pK x KIn + pNa x NaIn + pCl x ClOut)) mV.

Description

Compute the Goldman-Hodgkin-Katz steady-state membrane potential at 37 degrees Celsius with the z=+1 cation form for potassium and sodium and inverted terms for chloride: VM = 61.5 x log10((pK x KOut + pNa x NaOut + pCl x ClIn) / (pK x KIn + pNa x NaIn + pCl x ClOut)) mV.

Goldman Equation is a focused biology tool that compute the Goldman-Hodgkin-Katz steady-state membrane potential at 37 degrees Celsius with the z=+1 cation form for potassium and sodium and inverted terms for chloride: VM = 61.5 x log10((pK x KOut + pNa x NaOut + pCl x ClIn) / (pK x KIn + pNa x NaIn + pCl x ClOut)) mV. It calculates locally from the values you enter and exposes the result without changing the source observations.1

When to use Goldman Equation

Use Goldman Equation when you need to compute the Goldman-Hodgkin-Katz steady-state membrane potential at 37 degrees Celsius with the z=+1 cation form for potassium and sodium and inverted terms for chloride: VM = 61.5 x log10((pK x KOut + pNa x NaOut + pCl x ClIn) / (pK x KIn + pNa x NaIn + pCl x ClOut)) mV. Enter PK, PNa, PCl, K outside, K inside, Na outside, Na inside, Cl outside, and Cl inside using the definitions and units below so the result can be reproduced.

PK
Potassium relative permeability; must not be negative.
PNa
Sodium relative permeability; must not be negative.
PCl
Chloride relative permeability; must not be negative.
K outside
Extracellular potassium in mmol/L; must be greater than zero.
K inside
Intracellular potassium in mmol/L; must be greater than zero.
Na outside
Extracellular sodium in mmol/L; must be greater than zero.
Na inside
Intracellular sodium in mmol/L; must be greater than zero.
Cl outside
Extracellular chloride in mmol/L; must be greater than zero.
Cl inside
Intracellular chloride in mmol/L; must be greater than zero.

How Goldman Equation calculates the result

The published tool contract uses this rule: Compute the Goldman-Hodgkin-Katz steady-state membrane potential at 37 degrees Celsius with the z=+1 cation form for potassium and sodium and inverted terms for chloride: VM = 61.5 x log10((pK x KOut + pNa x NaOut + pCl x ClIn) / (pK x KIn + pNa x NaIn + pCl x ClOut)) mV.

Membrane potential
Signed resting membrane potential in millivolts.

Limitations of Goldman Equation

The calculation does not propagate measurement uncertainty, sampling error, or biological and chemical variability.

Alternative or Complementary measurements

Retain the original PK, PNa, PCl, K outside, K inside, Na outside, Na inside, Cl outside, and Cl inside values and their units alongside the result. Nernst Membrane Potential is useful when you instead need to compute the Nernst equilibrium potential at 37 degrees Celsius in millivolts: EMV = (61.5 / z) x log10(outsideConcentration / insideConcentration), signed positive for outward cation gradient driving force. Donnan Potential provides another view by helping you compute the equilibrium potential at 25 °C from the inside-to-outside concentration ratio. The base-10 Nernst factor is 59.16 mV per tenfold concentration gradient and is divided by ion valence.

References

  1. Goldman equation — Wikipedia contributors

Similar or alternative tools

  • Nernst Membrane Potential

    Compute the Nernst equilibrium potential at 37 degrees Celsius in millivolts: EMV = (61.5 / z) x log10(outsideConcentration / insideConcentration), signed positive for outward cation gradient driving force.

  • Donnan Potential

    Compute the equilibrium potential at 25 °C from the inside-to-outside concentration ratio. The base-10 Nernst factor is 59.16 mV per tenfold concentration gradient and is divided by ion valence.

  • CMS Percent

    Compute cell membrane stability as a percentage by comparing the control conductivity ratio to the treated conductivity ratio, control divided by treated times one hundred, clamped to the range zero through one hundred.

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