Occupancy Theory
The occupancy theory of Gaddum[49] and Clark[50] states
that the intensity of the pharmacological effect is directly
proportional to the number of receptors occupied by the
drug. The response ceases when the drug–receptor complex
dissociates. However, as discussed in Section 3.2.3, not
all agonists produce a maximal response. Therefore, this
theory does not rationalize partial agonists, and it does not
explain inverse agonists.
Ariëns[51] and Stephenson[52] modified the occupancy
theory to account for partial agonists, a term coined by Stephenson.
These authors utilized the original Langley concept
of a receptor, namely, that drug–receptor interactions involve two stages: first, there is a complexation
of the
drug with the receptor, which they both termed the affinity;
second, there is an initiation of a biological effect, which
Ariëns termed the intrinsic activity and Stephenson called
the efficacy. Affinity, then, is a measure of the capacity of
a drug to bind to the receptor, and depends on the molecular
complementarity of the drug and the receptor. Intrinsic
activity (α) now refers to the maximum response induced
by a compound relative to that of a given reference compound,
and efficacy is the property of a compound that
produces the maximum response or the ability of the drug–
receptor complex to initiate a response.[53] Because of the
slight change in definitions, we will use the term efficacy
to refer to the ability of a compound to initiate a biological
response. In the original theory, this latter property was
considered to be constant. Examples of affinity and efficacy
are given in Figure 3.19. Figure 3.19A shows the theoretical
dose–response curves for five drugs with the same affinity
for the receptor (pKd=8), but having efficacies varying from
100% of the maximum to 20% of the maximum. The drug
with 100% efficacy is a full agonist; the others are partial
agonists. Figure 3.19B shows dose–response curves for four
drugs with the same efficacy (all full agonists), but having
different affinities varying from a pKd of 9 to 6.
Antagonists can bind tightly to a receptor (great affinity),
but be devoid of activity (no efficacy). Potent agonists
may have less affinity for their receptors than partial agonists or antagonists. Therefore, these two
properties,
affinity and efficacy, are uncoupled. Also, the terms agonist,
partial agonist, antagonist, and inverse agonist are biological
system dependent and not necessarily properties of
drugs. A compound that is an agonist for one receptor may
be an antagonist or inverse agonist for another receptor.
A particular receptor is considered to have an intrinsic maximum
response; this is the largest magnitude of response that
the receptor is capable of producing by any ligand. A compound
that elicits the maximum response is a full agonist;
a particular compound may be capable of exceeding the
maximum response of a tissue, but the observed response
can only be the maximum response of that particular tissue.
A drug that is not capable of eliciting the maximum
response of the tissue, which depends on the structure of the
drug, is a partial agonist. A full agonist or partial agonist is
said to display positive efficacy, an antagonist displays zero
efficacy, and a full or partial inverse agonist displays negative
efficacy (depresses basal tissue response).
The modified occupancy theory accounts for the existence
of partial agonists and antagonists, but it does not account for
why two drugs that can occupy the same receptor can act
differently, i.e., one as an agonist, the other as an antagonist.
3.2.4.2. Rate Theory
As an alternative to the occupancy theory, Paton[54] proposed
that the activation of receptors is proportional to
the total number of encounters of the drug with its receptor
per unit time. Therefore, the rate theory suggests that
the pharmacological activity is a function of the rate of
association and dissociation of the drug with the receptor
and not the number of occupied receptors. Each association
would produce a quantum of stimulus. In the case of
agonists, the rates of both association and dissociation
would be fast (the latter faster than the former). The rate of
association of an antagonist with a receptor would be fast,
but the dissociation would be slow. Partial agonists would
have intermediate drug–receptor complex dissociation
rates. At equilibrium, the occupancy and rate theories are
mathematically equivalent. As in the case of the occupancy
theory, the rate theory does not rationalize why the different
types of compounds exhibit the characteristics that they do.
3.2.4.3. Induced-Fit Theory
The induced-fit theory of Koshland[55] was originally proposed
for the action of substrates with enzymes, but it could
apply to drug–receptor interactions as well. According to this
theory, the receptor need not necessarily exist in the appropriate
conformation required to bind the drug. As the drug
approaches the receptor, a conformational change is induced,
which orients the essential binding sites (Figure 3.20). The
conformational change in the receptor could be responsible
for the initiation of the biological response (movement
of residues to interact with the substrate). The receptor
(enzyme) was suggested to be elastic, and could return to its
original conformation after the drug (product) was released.
The conformational change need not occur only in the receptor
(enzyme); the drug (substrate) also could undergo deformation,
even if this resulted in strain in the drug (substrate).
According to this theory, an agonist would induce a conformational
change and elicit a response, an antagonist would
bind without a conformational change, and a partial agonist
would cause a partial conformational change. The inducedfit
theory can be adapted to the rate theory. An agonist would
induce a conformational change in the receptor, resulting in
a conformation to which the agonist binds less tightly and
from which it can dissociate more easily. If drug–receptor
complexation does not cause a conformational change in the
receptor, then the drug–receptor complex will be stable, and
an antagonist will result.
Other theories evolved from the induced-fit theory, such
as the macromolecular perturbation theory, the activation–
aggregation theory, and multistate models.
3.2.4.4. Macromolecular Perturbation Theory
Having considered the conformational flexibility of receptors,
Belleau[56] suggested that in the interaction of a drug
with a receptor two general types of macromolecular perturbations could result: a specific
conformational perturbation
makes possible the binding of certain molecules
that produce a biological response (an agonist) and a nonspecific
conformational perturbation accommodates other
types of molecules that do not elicit a response (e.g., an
antagonist). If the drug contributes to both macromolecular
perturbations, a mixture of two complexes will result
(a partial agonist). This theory offers a physicochemical
basis for the rationalization of molecular phenomena that
involve receptors, but does not address the concept of
inverse agonism.
3.2.4.5. Activation–Aggregation Theory
An extension of the macromolecular perturbation theory
(which also is based on the induced-fit theory) is the
activation–aggregation theory of Monad, Wyman, and
Changeux[57] and Karlin.[58] According to this theory,
even in the absence of drugs, a receptor is in a state of
dynamic equilibrium between an activated form (Ro),
which is responsible for the biological response, and an
inactive form (To). Using this theory, agonists bind to the
Ro form and shift the equilibrium to the activated form,
antagonists bind to the inactive form (To), and partial agonists
bind to both conformations. In this model, the agonist
binding site in the Ro conformation can be different
from the antagonist binding site in the To conformation. If
there are two different binding sites and conformations,
then this could account for the structural differences in
these classes of compounds and could rationalize why
an agonist elicits a biological response but an antagonist
does not. This theory can explain the ability of partial
agonists to possess both the agonistic and antagonistic
properties as depicted in Figure 3.16. In Figure 3.16B,
as the partial agonist interacts with the remaining unoccupied
receptors, there is an increase in the response up to
the maximal response for the partial agonist interaction.
In Figure 3.16C, the partial agonist competes with the
neurotransmitter for the receptor sites. As the partial agonist
displaces the neurotransmitter, it changes the amount
of Ro and To receptor forms (To increases and, therefore,
the response decreases) until all the receptors have the
partial agonist bound. This theory, however, also does not
address inverse agonists.[59]
3.2.4.6. The Two-State (Multistate) Model of
Receptor Activation
The concept of a conformational change in a receptor
inducing a change in its activity has been viable for many
years.[60] The Monod–Wyman–Changeux idea described
above involves a two-state model of receptor activation, but
it does not go far enough. This model was revised based
mostly on observations with GPCRs (see Section 3.1).[61]
The revised two-state model of receptor activation proposes
that, in the absence of the natural ligand or agonist,
receptors exist in equilibrium (defined by equilibrium constant
L; Figure 3.21) between an active state (R*), which is
able to initiate a biological response, and a resting state (R),
which cannot. In the absence of a natural ligand or agonist, the equilibrium between R* and R defines
the basal activity
of the receptor. A drug can bind to one or both of these
conformational states, according to equilibrium constants
Kd and K*d for formation of the drug–receptor complex with
the resting (D·R) and active (D·R*) states, respectively. Full
agonists alter the equilibrium fully to the active state by
binding to the active state and causing maximum response;
partial agonists preferentially bind to the active state, but
not to the extent that a full agonist does, so maximum
response is not attained; full inverse agonists alter the equilibrium
fully to the resting state by binding to the resting
state, causing a negative efficacy (a decrease in the basal
activity); partial inverse agonists preferentially bind to the
resting state, but not to the extent that a full inverse agonist
does; and antagonists have equal affinities for both states
(i.e., have no effect on the equilibrium or basal activity, and,
therefore, exhibit neither positive nor negative efficacy).[62]
A competitive antagonist is able to displace either an agonist
or an inverse agonist from the receptor.
Leff and coworkers further extended the two-state
receptor model to a three-state receptor model.[63] In this
model, there are two active conformations (this becomes a
multistate model by extension to more than two active conformations)
and an inactive conformation. This accommodates
experimental findings regarding variable agonist and
inverse agonist behavior (both affinities and efficacies) in
different systems containing the same receptor type (called
receptor promiscuity). According to this hypothesis, the
basis for differential agonist efficacies among different
agonists is their different affinities for the different active
states.