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Understanding Cellular Potentials and Equilibrium

Aug 31, 2024

Lecture on Cellular Potentials

Overview

  • Continuation of lectures on cellular potentials.
  • Focus on resting membrane potential and equilibrium potential.

Resting Membrane Potential

  • Inside of cell is negative compared to outside.
  • Cell maintains this negativity as its resting membrane potential.
  • The actual voltage varies depending on solute concentration.

Equilibrium Potential

  • Calculated using the Nernst equation.
  • Determines voltage necessary to maintain concentration of a single ion.
  • Assumes the ion is the only one moving across the membrane.

Sodium (Na) and Potassium (K) Equilibrium Potentials

  • Sodium: High concentration outside; requires positive inside cell to maintain.
  • Potassium: High concentration inside; requires negative inside cell to maintain.

Real Life vs. Experimental

  • Multiple ions and forces in real life, unlike the single-ion assumption in the Nernst equation.
  • Use the Goldman Hodgkin Katz (GHK) equation to calculate real resting membrane potential.

Goldman Hodgkin Katz (GHK) Equation

  • Includes permeability (P) for each ion: P for Na, P for K.
  • Incorporates concentration differences and permeability to find average potential.
  • Resting membrane potential is closer to K equilibrium potential, indicating easier K permeability.

Example Calculation

  • Na: 142 mM outside, 14 mM inside.
  • K: 4 mM outside, 140 mM inside.
  • Permeability ratio: K is 100 times more permeable than Na.
  • Result: Approx. -86.2 mV, close to actual resting potential.

Handling Negative Ions

  • Chloride (Cl-) requires modification in GHK: inside/outside ratio.
  • Graduate student suggested reversing the ratio for negative ions to fix calculation errors.

Summary

  • Nernst Equation: For single solute equilibrium potential experimentally.
  • GHK Equation: For real resting membrane potential considering multiple ions.
  • Resting membrane potential is influenced by all solutes and their permeabilities.

Membrane Properties

  • Membrane is not perfect; it is leaky.
  • Sodium-potassium pump maintains resting potential by moving ions against their gradients.

Sodium-Potassium Pump

  • Moves Na out and K in, maintaining negative inside.
  • Sodium has strong pressure to enter the cell due to concentration and charge differences.

Cellular Work

  • Sodium's pressure used to bring in glucose through co-transporters.
  • Sodium-glucose co-transporter leverages sodium's drive to enter the cell.

Conclusion

  • Understanding voltage and concentration differences is key to understanding cellular functions.
  • Encouragement to review content and ask questions in discussions and labs.