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Action Potential & Ion Channels

โšก Membrane Biophysics: Action Potential Dynamics

The action potential is an all-or-none, regenerative electrical impulse generated across the excitable neuronal plasma membrane, driven by sequential, voltage-dependent changes in sodium and potassium permeabilities.

1. Biophysical Foundations: Resting Potential & Ion Distribution

In resting neurons, an electrical potential difference of approximately -70 mV exists across the plasma membrane (interior negative relative to the extracellular fluid). This resting membrane potential ($V_m$) is maintained by:

  • Asymmetric Ionic Distribution: High intracellular potassium ($[K^+]_{in} pprox 140 ext{ mM}$) and low intracellular sodium ($[Na^+]_{in} pprox 14 ext{ mM}$), balanced against extracellular fluid ($[Na^+]_{out} pprox 145 ext{ mM}$, $[K^+]_{out} pprox 4 ext{ mM}$, $[Cl^-]_{out} pprox 110 ext{ mM}$).
  • Differential Permeability: At rest, resting leak potassium channels (K2P / inward rectifiers) are substantially more permeable than sodium channels ($P_K : P_{Na} : P_{Cl} pprox 1 : 0.04 : 0.45$).
  • Na+/K+ ATPase Pump: Active primary transport expelling 3 $Na^+$ ions in exchange for 2 $K^+$ ions entering per ATP hydrolyzed, electrogenically contributing ~ -3 to -5 mV and maintaining steep concentration gradients.
๐Ÿ“ Key Biophysical Equation: Goldman-Hodgkin-Katz (GHK) Voltage Equation

$$V_m = rac{RT}{F} ln left( rac{P_K [K^+]_{out} + P_{Na} [Na^+]_{out} + P_{Cl} [Cl^-]_{in}}{P_K [K^+]_{in} + P_{Na} [Na^+]_{in} + P_{Cl} [Cl^-]_{out}}
ight)$$

Where $R$ is the universal gas constant, $T$ is absolute temperature, $F$ is Faraday’s constant, and $P_x$ represents the relative membrane permeability of each ion.

Neuronal Action Potential & Voltage-Gated Channel Conductances

Vector SVG

+40 mV 0 mV -55 mV (Threshold) -70 mV (Rest) -80 mV (AHP)

Time (milliseconds)

gNa Conductance

gK Conductance

1. Pre-potentials 2. Depolarization 3. Repolarization 4. Hyperpolarization (AHP)

Figure 1.1: Phases of the neuronal action potential displaying threshold trigger (-55 mV), rapid Na+ influx overshoot, K+ delayed rectifier repolarization, and afterhyperpolarization (AHP).

2. The Molecular Mechanism: Voltage-Gated Na+ and K+ Channels

The action potential comprises four tightly synchronized physiological phases:

Phase 1
Threshold & Depolarization

When membrane potential depolarizes to threshold (~ -55 mV), the S4 voltage sensor domain in Nav1.x channels shifts outwardly, opening the activation m-gate. Inward Na+ current depolarizes the cell regeneratively in a positive feedback loop (Hodgkin cycle).

Phase 2
Peak & Inactivation

At +30 to +40 mV, the intracellular IFM (Isoleucine-Phenylalanine-Methionine) inactivation motif swings into the channel pore (h-gate closure), terminating Na+ influx within ~1 ms.

Phase 3
Repolarization

Delayed-rectifier Kv channels (Kv1.x / Kv2.x) open slowly with delayed kinetics. Massive potassium efflux rapidly repolarizes the membrane back toward the K+ equilibrium potential.

Phase 4
Afterhyperpolarization & Refractory

Because Kv channels close slowly, membrane potential dips toward E_K (-80 to -90 mV). Absolute refractory period prevents backwards propagation; relative refractory period requires suprathreshold stimulus.

3. Quantitative Comparison: Unmyelinated vs Myelinated Axons

Conduction Property Unmyelinated Axon (Continuous) Myelinated Axon (Saltatory)
Conduction Velocity 0.5 โ€“ 2.0 m/s (C-fibers) Up to 120 m/s (A-alpha fibers)
Channel Distribution Uniformly distributed along membrane (~100โ€“200 channels/ฮผmยฒ) Extremely dense at Nodes of Ranvier (~2,000โ€“12,000 channels/ฮผmยฒ); negligible in internodes
Membrane Capacitance ($C_m$) High (slow charging of membrane) Extremely low (myelin increases effective dielectric thickness)
Membrane Resistance ($R_m$) Low (current leaks out through channels) Extremely high across internodes (prevents radial ionic leakage)
Metabolic Cost (ATP) High (Na+/K+ pump required across entire surface) Low (~1% of unmyelinated; pumping localized only to nodes)

4. Clinical Neuropharmacology & Channelopathies

  • Tetrodotoxin (TTX) & Saxitoxin (STX): Potent heterocyclic guanidinium neurotoxins from pufferfish and dinoflagellates that physically occlude the extracellular pore vestibule of voltage-gated Na+ channels, causing rapid neuromuscular paralysis.
  • Local Anesthetics (Lidocaine, Bupivacaine): Hydrophobic tertiary amines that traverse the membrane and bind stereospecifically to the inner S6 segment of Nav channels in their inactivated state, blocking conduction (use-dependent block).
  • Multiple Sclerosis (MS): Autoimmune inflammatory demyelination of CNS oligodendrocytes. Loss of internodal resistance exposes unmyelinated membrane devoid of adequate Na+ channels, causing conduction block and neurological deficits.
๐Ÿง  Self-Assessment Checkpoint
Question 1: Why does hyperkalemia (elevated extracellular potassium from 4 mM to 8 mM) paradoxically cause muscle weakness and cardiac arrhythmias rather than hyperexcitability?

Answer: Moderate persistent depolarization shifts resting potential closer to threshold, but chronically inactivates voltage-gated sodium channels (h-gate closure), leaving fewer functional channels available to trigger action potentials (depolarization block).

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