Resting Membrane Potential

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RMP Fundamentals - Cell's Quiet Charge

  • Resting Membrane Potential (RMP): Electrical potential difference across a cell membrane at rest. Typical range: -70mV to -90mV.
  • Major Ions: $K^+$, $Na^+$, $Cl^-$, large intracellular anions ($A^-$).
  • Concentration Gradients:
    • High $[K^+]{in}$, Low $[K^+]{out}$
    • High $[Na^+]{out}$, Low $[Na^+]{in}$
    • High $[Cl^-]{out}$, Low $[Cl^-]{in}$
  • Electrochemical Equilibrium & Nernst Potential:
    • Balance of chemical & electrical forces.
    • $K^+$ Nernst ($E_{K^+}$): ≈ -94mV
    • $Na^+$ Nernst ($E_{Na^+}$): ≈ +61mV
  • Relative Permeability: At rest, membrane highly permeable to $K^+$ ($P_K >> P_{Na}$).

    ⭐ RMP is primarily determined by potassium ions due to their high membrane permeability, making RMP close to the potassium equilibrium potential. Resting Membrane Potential Diagram

Calculating RMP - Ion Equation Showdown

  • Nernst Equation: Predicts equilibrium potential ($E_{ion}$) for one ion type.
    • General: $E_{ion} = (RT/zF) \ln([ion]{out}/[ion]{in})$.
    • Simplified (37°C): $E_{ion} = (61.5/z) \log([ion]{out}/[ion]{in})$.
    • $z$: ion valence; $[ion]_{out/in}$: outer/inner concentrations.
  • Goldman-Hodgkin-Katz (GHK) Equation: Calculates membrane potential ($V_m$) using multiple ions & their permeabilities ($P$).
    • Formula: $V_m = (RT/F) \ln((P_K[K^+]{out} + P{Na}[Na^+]{out} + P{Cl}[Cl^-]{in}) / (P_K[K^+]{in} + P_{Na}[Na^+]{in} + P{Cl}[Cl^-]_{out}))$.

⭐ At rest, RMP (approx. -70mV to -90mV) is primarily dictated by K+ due to its highest permeability an_d proximity of $E_K$ to RMP_

RMP Maintenance - The Unsung Heroes

RMP stability relies on these key mechanisms:

  • Na+/K+ ATPase Pump:
    • Actively expels 3 $Na^+$ ions for every 2 $K^+$ ions imported.
    • Electrogenic nature: directly adds ~-4mV to RMP.
    • Crucially maintains steep $Na^+$ and $K^+$ concentration gradients. Na+/K+ ATPase pump mechanism
  • Selective K+ Permeability:
    • At rest, membrane highly permeable to $K^+$ (vs $Na^+$) via $K^+$ leak channels.
    • Continuous $K^+$ efflux down its gradient is a major RMP determinant.
  • Gibbs-Donnan Equilibrium:
    • Trapped intracellular non-diffusible anions (proteins, phosphates) enhance internal negativity.

⭐ The Na+/K+ pump's main role: maintaining ion gradients for diffusion potentials (bulk of RMP); direct electrogenic effect ~-4mV.

Extracellular $K^+$ concentration ([$K^+$]o) is a critical determinant of RMP.

  • Effect of [$K^+$]o on RMP & Excitability:

    Condition[$K^+$]o$K^+$ EffluxRMP ChangeMembrane Excitability
    HyperkalemiaLess negative (depol.)Initial ↑, then ↓ (due to $Na^+$ channel inactivation)
    HypokalemiaMore negative (hyperpol.)

Effect of extracellular K+ on resting membrane potential

  • Channelopathies: Genetic disorders affecting ion channels (e.g., periodic paralysis) can alter RMP and muscle excitability.

⭐ Severe hyperkalemia causes muscle weakness/paralysis despite RMP being closer to threshold, due to sustained depolarization inactivating voltage-gated $Na^+$ channels, preventing action potentials.

High‑Yield Points - ⚡ Biggest Takeaways

  • RMP: Electrical potential difference across a resting cell membrane, typically -70mV to -90mV.
  • Major factors: High K+ permeability (via K+ leak channels) and the Na+/K+ pump.
  • Na+/K+ pump: 3 Na+ out / 2 K+ in; maintains gradients, electrogenic (contributes to negativity).
  • Nernst equation for single ion potential; Goldman-Hodgkin-Katz (GHK) equation for overall RMP.
  • RMP is primarily determined by K+ gradient and its high membrane permeability at rest.

Practice Questions: Resting Membrane Potential

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What is the primary factor that determines the resting membrane potential in a nerve fiber?

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Flashcards: Resting Membrane Potential

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What change is seen in the RMP when the extracellular concentration of Na+ increases ?_____

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What change is seen in the RMP when the extracellular concentration of Na+ increases ?_____

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