Ligand Binding — For myoglobin, when pO2 equals the dissociation constant (Kd), what is the fractional saturation (YO2)?

Difficulty: Easy

Correct Answer: 0.5

Explanation:


Introduction:
Ligand-binding curves relate ligand concentration (or partial pressure for gases) to the fraction of occupied binding sites. For simple one-site binding (like myoglobin), the dissociation constant Kd provides a direct benchmark of occupancy.


Given Data / Assumptions:

  • Myoglobin behaves approximately as a single-site, noncooperative binder.
  • YO2 denotes fractional saturation (occupied fraction of binding sites).
  • pO2 is analogous to ligand concentration for oxygen.


Concept / Approach:
Use the standard binding relation: YO2 = pO2 / (pO2 + Kd). When pO2 = Kd, the expression simplifies immediately.


Step-by-Step Solution:

1) Start with YO2 = pO2 / (pO2 + Kd).2) Substitute pO2 = Kd to get YO2 = Kd / (Kd + Kd).3) Simplify: YO2 = Kd / (2 * Kd) = 1/2 = 0.5.


Verification / Alternative check:
The definition of Kd ensures that at ligand concentration equal to Kd, half the binding sites are occupied. This is analogous to enzymology where Km marks half-maximal velocity.


Why Other Options Are Wrong:

a) 0.1: would require pO2 << Kd.c) 0.9: would require pO2 >> Kd.d) 1.7: impossible since fractional saturation ranges from 0 to 1.e) 0.0: would require pO2 = 0.


Common Pitfalls:
Confusing Kd with the concentration for near-saturation; misapplying cooperative (hemoglobin) vs noncooperative (myoglobin) models.


Final Answer:
0.5.

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