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Jaineel Dharod
Dept. of Pharmacology
» Receptor occupancy theory, in which it is assumed
that response emanates from a receptor occupied
by a drug, has its basis in the law of mass action.
» The basic currency of receptor pharmacology is
the dose–response curve, a depiction of the
observed effect of a drug as a function of its
concentration in the receptor compartment
» Figure shows a typical dose–response curve; it
reaches a maximal asymptotic value when the drug
occupies all the receptor sites.
» In general, the drug–receptor interaction is
characterized first by binding of drug to receptor
and second by generation of a response in a
biological system.
» The first function is governed by the chemical
property of affinity, ruled by the chemical forces
that cause the drug to associate reversibly with the
receptor.
» This simple relationship, permits an appreciation
of the reliance of the interaction of drug (D)
with receptor (R) on both the forward
association rate (k1) and the reverse or
dissociation rate (k2).
» At any given time, the concentration of agonist–
receptor complex [DR] is equal to the product of
k1[D][R] minus the product k2[DR].
» At equilibrium
When d[DR]/dt = 0,
k1[D][R] = k2[DR].
» The equilibrium dissociation constant (KD) is
then described by ratio of the off-rate and the
on-rate (k2/k1).
» The affinity constant (KA) is the reciprocal of the
equilibrium dissociation constant (KD)
» KD = 1/KA
» Thus, A high affinity means a small KD.
» Using this simple model of Equation permits us to
write an expression of the fractional occupancy (f) of
receptors by agonist:
» This can be expressed in terms of KA (or KD) and [D]:
» Thus, when [D] = KD, a drug will occupy 50% of the
receptors present. Potent drugs are those which
elicit a response by binding to a critical number of a
particular receptor type at low concentrations (high
affinity) compared with other drugs acting on the
same system and having lower affinity and thus
requiring more drug to bind to the same number of
receptors.
A. Competitive antagonism occurs when the agonist A and antagonist I
compete for the same binding site on the receptor. Response curves for
the agonist are shifted to the right in a concentration related manner by
the antagonist such that the EC50 for the agonist increases (e.g., L
versus L’, L’’, and L’’’) with the concentration of the antagonist.
B. If the antagonist binds to the same site as the agonist but does so
irreversibly or pseudo-irreversibly (slow dissociation but no covalent bond), it
causes a shift of the dose–response curve to the right, with further depression
of the maximal response.
Allosteric effects occur
when the ligand I binds to a
different site on the
receptor to either inhibit
response (see panel C) or
potentiate response (see
panel D).
This effect is saturable;
inhibition reaches a limiting
value when the allosteric site
is fully occupied.
Maths of receptor

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Maths of receptor

  • 1. Jaineel Dharod Dept. of Pharmacology
  • 2.
  • 3. » Receptor occupancy theory, in which it is assumed that response emanates from a receptor occupied by a drug, has its basis in the law of mass action. » The basic currency of receptor pharmacology is the dose–response curve, a depiction of the observed effect of a drug as a function of its concentration in the receptor compartment
  • 4. » Figure shows a typical dose–response curve; it reaches a maximal asymptotic value when the drug occupies all the receptor sites.
  • 5. » In general, the drug–receptor interaction is characterized first by binding of drug to receptor and second by generation of a response in a biological system. » The first function is governed by the chemical property of affinity, ruled by the chemical forces that cause the drug to associate reversibly with the receptor.
  • 6. » This simple relationship, permits an appreciation of the reliance of the interaction of drug (D) with receptor (R) on both the forward association rate (k1) and the reverse or dissociation rate (k2). » At any given time, the concentration of agonist– receptor complex [DR] is equal to the product of k1[D][R] minus the product k2[DR].
  • 7. » At equilibrium When d[DR]/dt = 0, k1[D][R] = k2[DR]. » The equilibrium dissociation constant (KD) is then described by ratio of the off-rate and the on-rate (k2/k1).
  • 8. » The affinity constant (KA) is the reciprocal of the equilibrium dissociation constant (KD) » KD = 1/KA » Thus, A high affinity means a small KD. » Using this simple model of Equation permits us to write an expression of the fractional occupancy (f) of receptors by agonist:
  • 9. » This can be expressed in terms of KA (or KD) and [D]: » Thus, when [D] = KD, a drug will occupy 50% of the receptors present. Potent drugs are those which elicit a response by binding to a critical number of a particular receptor type at low concentrations (high affinity) compared with other drugs acting on the same system and having lower affinity and thus requiring more drug to bind to the same number of receptors.
  • 10.
  • 11. A. Competitive antagonism occurs when the agonist A and antagonist I compete for the same binding site on the receptor. Response curves for the agonist are shifted to the right in a concentration related manner by the antagonist such that the EC50 for the agonist increases (e.g., L versus L’, L’’, and L’’’) with the concentration of the antagonist.
  • 12. B. If the antagonist binds to the same site as the agonist but does so irreversibly or pseudo-irreversibly (slow dissociation but no covalent bond), it causes a shift of the dose–response curve to the right, with further depression of the maximal response.
  • 13. Allosteric effects occur when the ligand I binds to a different site on the receptor to either inhibit response (see panel C) or potentiate response (see panel D). This effect is saturable; inhibition reaches a limiting value when the allosteric site is fully occupied.