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Pharmacology
the study of how drug mechanisms interact with living systems
Receptors
Proteins that receive extracellular information (ligands) and initiate a cellular response.
Agonists
substances that bind to receptors to produce a response
2 Actions of agonists (lock and key analogy)
receptor binding
receptor activation
Occupancy
proportion of receptors occupied
Simple equation/definition for occupancy
no. of receptors occupied/total no. of receptors
Example of how occupancy can be measured directly?
Radioligand binding
Radioligand binding
use of a radioactive isotope to radiolabel an agonist for detection
Radiolabelling method
isolate cells
aliquot cells/membranes into multiple tubes or wells
add radiolabelled agonist to the samples across a wide range of concentrations
equilibrate
after equilibration, remove unbound drug by filtration (bound drug remains attached to cells/membranes on filter)
count residue to measure the radioactivity
Methods of isolating cells/membranes
enzymatic treatment to dissociate cells
detergent treatment and separation by centrifugation
Total binding
the binding of a ligand to all sites in the system (including both the particular receptors of biological interest and non-specific binding)
Non-specific binding
low-affinity, undesired and non-saturable binding of a ligand to components (cell membrane proteins, apparatus) of an experimental system
Specific binding
binding of a ligand to the particular receptors of biological interest
How to measure non-specific binding
repeat radioligand binding experiment in the presence of saturating concentration of non-labelled agonist
the radioligand can only bind to non-specific sites, either on the membrane or the filter
How to obtain the specific binding curve (specific binding to receptors of interest)
specific binding = total binding - non-specific binding
How to clearly observe the relationship between agonist binding and concentration on a graph
semi-log plots
semi-log plot
x-axis is plotted on a logarithmic scale (y-axis remains the same)
Benefit of the semi-log plot
allows the relationship between specific binding and agonist concentration to be seen more clearly
Law of Mass Action
RATE of a reversible chemical reaction is proportional to the product of the concentration of the reactants
Langmuir equation assumptions
Agonist-receptor interactions are at equilibrium
agonist-receptor binding does not reduce agonist concentration (i.e. [agonist] »»[receptor] — the agonist concentration must always be in great excess compared to the no. of receptors)
KD
the equilibrium dissociation constant
2 parameters that describe the Langmuir equation
the concentration of the drug (XA)
the equilibrium dissociation constant (KD)
Bmax
the maximum no. of receptors bound, achieved when all receptors are occupied by a specific drug (expressed in mol/mg of protein)
Relationship between KD and affinity
reversely proportional, as the KD increases the agonist affinity decreases
The Langmuir Equation
PA (occupancy) = XA/(XA + KD)
The Langmuir equation (experimental)
Bound = Bmax x XA/(XA + KD)
Receptor reserve
not all receptors need to be occupied to generate a maximal response
EC50
concentration of agonist required to produce 50% of the maximal response
potency
measure of a drug's activity in terms of concentration required to produce a specific, defined effect.
How does EC50 correlates to potency
lower EC50 = higher potency
Kd (equilibrium dissociation constant)
molar concentration of agonist at which 50% of receptors are occupied at equilibrium
How does Kd correlate to affinity
a lower Kd signifies higher affinity (strong binding)
Advantages of signalling amplification and “receptor reserve”
small increases in agonist concentration can maximally activate a cellular response (physiologically efficient)
loss of receptors with age or disease does not readily lead to loss of cell/organ performance
full agonist
an agonist that can stimulate 100% of the maximal response of the tissue
partial agonist
agonists that cannot stimulate 100% of the maximal response (of a specific tissue) regardless of their concentration
Emax
maximum effect a drug can produce, regardless of dose
Efficacy (in pharmacology)
how effectively a drug can stimulate the receptor to generate a functional response
Affinity (in pharmacology)
probability of a drug binding to its receptor at any given instant
Antagonists
a drug that prevents the biological response of agonist
5 different classes of antagonism
chemical
pharmacokinetic
physiological (functional)
downstream signalling
receptor antagonism
chemical antagonism
antagonists which combine with or chemically modify an agonist to dampen their effects
pharmacokinetic antagonism
antagonists that reduce agonist concentration within the body by altering absorption, metabolism or excretion of agonist
physiological (functional) antagonism
interaction of two agonists with opposing cellular responses in the body.
antagonism of downstream signalling
antagonists that block a step between receptor activation and functional response
receptor antagonism
When an antagonist competes with an agonist for receptor occupancy (either reversible or irreversible)
competitive receptor antagonist
a ligand which binds at the receptor but produces no response (efficacy = 0) reducing agonist-receptor occupancy, thus inhibiting agonist-receptor responses
Characteristics of a reversible competitive (surmountable) antagonist
effects of antagonist can be reversed/washed off
block of the antagonist can be overcome by addition of more agonist
does not effect the maximal response of tissue to agonist
more useful clinically as its effects can be controlled more easily (than an irreversible antagonist)
Characteristics of an irreversible competitive (insurmountable) antagonist
antagonist forms stable often covalent, chemical bonds with the receptor
effects cannot be reversed/washed off
block of the antagonist cannot be overcome by further agonist addition
time dependent
decreases maximal response of a tissue to the agonist
The Gaddum equation
XA/(XA + KA[1 +XB/KB])
Dose ratio
how many fold greater agonist concentration is required in the presence of an antagonist to produce the same response
Equation for dose ratio
[agonist EC50 in presence of antagonist] ÷ [agonist EC50 in absence of antagonist]
pA2
the negative log of the molar concentration of antagonist required to produce a dose ratio of 2
How does pA2 correlate to potency
greater pA2 = greater potency because lower concentration of antagonist is required to shift the EC50 to generate a dose ratio of 2
Schild equation
log10(DR-1) = log10[XB] - log10KB
x intercept of a Schild plot represent
negative pA2
A2
the molar concentration of antagonist that gives a dose ratio of 2
How to work out the A2 value from a Schild plot
inverse log of x intercept