Canonical Question

PD – Affinity and dissociation

V5 B2.i Historical V4 C.v 1 appearance

Master answer

  1. The ratio of the koff / kon
    • koff describes the rate constant for the reaction DR → D + R
    • kon describes the rate constant for the reaction D + R → DR
    • Rate constant is the rate at which a reaction will proceed in one direction if all other parameters are equal
    • The ratio of the two rate constants is the dissociation constant or kd,
      • The likelihood of the drug-receptor complex to dissociate into drug and receptor
  2. The implications for a low value for the ratio
    • A low value of kd implies that the forward reaction of the drug binding to the receptor (kon) is favoured over the reverse reaction of the drug and receptors disassociating (koff)
    • This may be due to high affinity between the drug and receptor
    • Few molecules of drug are required to achieve a given level of receptor occupation than a drug affecting the same receptor with a high kd
      • This drug is more potent
  3. Affinity
    • Affinity is the attraction between 2 molecules in forming a complex
    • High affinity bonds have stronger inter-molecular bond
    • It is inversely related to the kd
      • The higher the affinity, the lower the kd and vice versa
  4. The clinical implications for a high value of affinity
    • If a drug has high affinity for a receptor, it has a lower kd than a drug that has low affinity for the same receptor
    • Fewer molecules of the drug are required to achieve receptor occupancy of a certain level
    • The drug is more potent
  5. Two physiological factors that affect the rate constant
    • The rate constant is described by the Arrhenius equation
\[k = Ae^{-Ea \over RT}\].

Where
k = the rate constant
A = the pre-exponential factor for the specific reaction describing the frequency of collisions in the correct orientation
Ea = the activation energy, the minimum energy required for the reaction to occur
R = Universal gas constant
T = Temperature in kelvin

As temperature increases the rate constant approaches A,
As the temperature decreases the rate constant approaches 0

Modifying the Arhenius Equation gives

\[k = Ae^{-\Delta G^0 \over RT}\].

Where ΔG0 = Gibb’s Free Energy, the change in enthalpy and entropy at a given temperature for the reaction

Gladwin 2016

Exam appearances

ExamExact wordingRelationshipSuccess
2007B Q12 The binding of a drug (D) to its receptor (R) is described by the equation D + R -> DR. Explain the following: a) The ratio of koff / kon b) The implications for a low value for the ratio c) The term affinitiy d) The clinical implications for a high value for affinitiy e) Two physiological factors that affect the rate constant historical_member