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Q7:
Explain the role of $Na^+$ in the generation of action potential.

Solution :

1. Theoretical Foundation: The Resting Membrane Potential

In the resting state, the neuronal membrane is selectively permeable to $K^+$ ions while being nearly impermeable to $Na^+$ ions. The concentration of $K^+$ is high inside the axon, and the concentration of $Na^+$ is high in the extracellular fluid. This gradient is maintained by the $Na^+/K^+$ pump, which exports $3Na^+$ for every $2K^+$ imported, maintaining a resting potential of approximately $-70\text{ mV}$ [Per the Goldman-Hodgkin-Katz equation].

2. Step-by-Step Mechanism of Action Potential Generation

Step 1: Stimulus and Threshold Reach

When a stimulus is applied to a site on the membrane, the permeability to $Na^+$ increases significantly. If the stimulus strength reaches the threshold level (typically $-55\text{ mV}$), the voltage-gated $Na^+$ channels undergo a conformational change [Per the Hodgkin-Huxley model].

Step 2: Rapid Depolarization

Upon reaching the threshold, the influx of $Na^+$ ions into the intracellular space occurs rapidly due to both the concentration gradient and the electrical gradient (as the inside is negative). As $Na^+$ enters, the membrane potential shifts from negative to positive. This is defined as: $$\Delta V_m = V_{in} - V_{out} \rightarrow \text{towards } +30 \text{ to } +45\text{ mV}$$

Step 3: Positive Feedback Loop

The rapid influx of $Na^+$ further depolarizes the membrane, which triggers even more voltage-gated $Na^+$ channels to open. This self-propagating "Hodgkin Cycle" ensures the rapid rise of the action potential spike.

mV Time (ms) Na+ Influx

3. Comparative Ion Flux Dynamics

Phase $Na^+$ Channel Status Membrane Potential Change
Resting Closed $-70\text{ mV}$
Depolarization Open (Rapid Influx) Moves to $+30\text{ mV}$
Repolarization Inactivated Return to $-70\text{ mV}$

4. Justification of the Role

The $Na^+$ ion serves as the primary driver of the upstroke of the action potential. Without the rapid influx of $Na^+$ ions, the membrane cannot achieve the critical positivity required to transmit an electrical impulse (nerve impulse) down the axon [Biological Law of All-or-None]. After reaching peak positivity, the $Na^+$ channels become inactivated, and voltage-gated $K^+$ channels open to facilitate repolarization.

Final Solution: The $Na^+$ ions act as the essential depolarizing agent; their rapid influx through voltage-gated channels, driven by electrochemical gradients, reverses the resting negative membrane potential to a positive state, thereby initiating the action potential necessary for neural signal propagation.


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