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Q3(a):
Explain the following processes: (a) Polarisation of the membrane of a nerve fibre

Solution :

Theoretical Foundation: The Resting Membrane Potential

The polarization of a nerve fiber membrane, commonly referred to as the Resting Membrane Potential (RMP), is the electrical state of a neuron when it is not conducting an impulse. In this state, the axonal membrane is more permeable to potassium ions ($K^+$) and nearly impermeable to sodium ions ($Na^+$). [Per the Goldman-Hodgkin-Katz equation principles].

Step 1: Distribution of Ions and Selective Permeability

The axoplasm inside the axon contains high concentrations of $K^+$ and negatively charged proteins, while the extracellular fluid (ECF) contains high concentrations of $Na^+$. This chemical gradient is maintained by the following mechanisms:

  • Selective Permeability: The membrane possesses leak channels that allow $K^+$ to diffuse out of the cell more readily than $Na^+$ can diffuse in.
  • Protein Anions: Negatively charged proteins trapped inside the axon contribute to the net negative charge of the interior.

Step 2: The Sodium-Potassium Pump ($Na^+/K^+$-ATPase)

To maintain the concentration gradient against passive diffusion, the neuron utilizes active transport. [By the principle of primary active transport].

The $Na^+/K^+$-ATPase pump performs the following stoichiometry for every cycle:

Action Ions Moved Energy Source
Efflux $3\ Na^+$ ions out of the cell Hydrolysis of $1\ ATP$
Influx $2\ K^+$ ions into the cell Hydrolysis of $1\ ATP$

Step 3: Establishment of Potential Difference

As the pump removes more positive charge ($3\ Na^+$) than it brings in ($2\ K^+$), and considering the net loss of $K^+$ via leak channels, the intracellular environment becomes electronegative relative to the exterior. This establishes a resting potential typically measured at approximately $-70\ mV$.

Extracellular Fluid (High Na+) Axoplasm (High K+, Proteins-) (-) (+) Polarized State (-70mV)

Summary of Variables

  • Intracellular environment: High $[K^+]$, High $[Proteins^-]$
  • Extracellular environment: High $[Na^+]$, High $[Cl^-]$
  • Membrane state: Electrically negative inside relative to outside.

Final Solution: Polarisation refers to the resting state of the axonal membrane where the exterior is positively charged relative to the interior, maintained by the unequal distribution of ions via the selective permeability of leak channels and the active operation of the $Na^+/K^+$-ATPase pump, resulting in a resting membrane potential of approximately $-70\ mV$.


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