Question: please explain step by step The equation below is the Nernst equation. This equation has several uses in physics and biology, but in neurobiology, it
please explain step by step
The equation below is the Nernst equation. This equation has several uses in physics and biology, but in neurobiology, it calculates equilibrium potential for a neuron: a voltage in a cell where there is no net movement of ions across a cell membrane.
Eion+(RT/zF)*In(Ion out/Ion in)
Where:
Eion = Equilibrium potential in volts. In neurobiology, voltages of neurons are small, so the convention is to report voltage in millivolts.
R = 8.314 joules / mol (a constant; i.e., it never changes).
T = Temperature in Kelvin (Kelvin = C + 273). For a given cell, temperature is the most variable factor that affects equilibrium potential.
z = Valence (electrical charge) of ion (a constant for a given ion; e.g., a flouride ion will always have a charge of -1).
F = 96,485 coulombs / mol (a constant).
ln = Natural logarithm.
Ionout = Concentration of an ion outside a cell (in mM). Under most circumstances, this can be treated as a constant for a single cell. Different cells have different ion concentrations, but concentration tends not to vary much within a single cell. There are four important ions in neurons: sodium, potassium, calcium, and chloride.
Ionin = Concentration of an ion inside a cell (in mM). As with Ionout, this can be usually considered a constant within a cell.
Create a Excel file that uses a formula to calculate equilibrium potential for the four ions in millivolts for the temperatures given in the Excel file.
| Chemical ion | External concentration (Ionout) mM | Internal concentration (Ionin) mM |
|---|---|---|
| Sodium (Na+) | 440 | 50 |
| Potassium (K+) | 10 | 440 |
| Calcium (Ca2+) | 1.2 | 0.0001 |
| Chloride (Cl-) | 110 | 6 |
Plot the resulting values in C and millivolts. Ensure that the X and Y axes are properly labelled, with correct units.
STARTING WITH TEMP 5C to 40C
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