1222 CHAPTER 30 The Organic Chemistry of Drugs
with its long chain and polar head group, it is a good model of a biological membrane.
When the amount of drug dissolving in each of the layers was measured, it turned out
that they all had a similar distribution coefficient(the ratio of the amount dissolving in
1-octanol to the amount dissolving in water). In other words, the distribution coefficient
could be related to biological activity. Compounds with lower distribution coefficients—
more polar compounds—could not penetrate the nonpolar cell membrane; compounds
with greater distribution coefficients—more nonpolar compounds—could not cross the
aqueous phase. This meant that the distribution coefficient of a compound could be used
to determine whether a compound should be tested in vivo. The technique of relating a
property of a series of compounds to biological activity is known as a quantitative
structure–activity relationship (QSAR).
Determining the physical property of a drug cannot take the place of in vivo testing
because how the drug will behave once it reaches a suitable receptor cannot be pre-
dicted by the distribution coefficient alone. Nevertheless, QSAR analysis provides a
way to lead chemists to structures with the greatest probability of having the desired
biological activity. In this way, molecular modification that would lead to compounds
without the desired activity can be avoided.
In the following example, QSAR was useful not only in determining the structure
of a potentially active drug but also in determining something about the structure of
the receptor site. A series of substituted 2,4-diaminopyrimidines, used as inhibitors of
dihydrofolate reductase (Section 25.8), was investigated.
The potency of the inhibitors could be described by the equation
where and are substituent parameters.
The parameter is a measure of the electron-donating or electron-withdrawing
ability of the substituents R and The negative coefficient of indicates that poten-
cy is increased by electron donation (Chapter 17, Problem 75). The fact that increasing
the basicity of the drug increases its potency suggests that the protonated drug is more
active than the nonprotonated drug.
The parameter is a measure of the hydrophobicity of the substituents. Potency
was found to be better related to when the value for the more hydrophobic of the
two substituents was used, rather than the sum of the values for both substituents.
This finding suggests that the receptor has a hydrophobic pocket that can accommo-
date one, but not both, substituents.
In a search for a new analgesic, the potency of the drug was found to be described
by the following equation, where HAindicates whether R is a hydrogen bond acceptor
and where Bis a steric factor:
Analysis indicated that the vinyl substituted compound should be prepared.
In a search for a drug to be used to treat leukemia, a QSAR analysis showed that the
antileukemic activity of a series of substituted triazines was related to the electron-
O
R
N
COOH
potency = − 4.45 − 0.73HA + 6.5B − 1.55(B)^2
p
p p
p
R¿. s
s
s p
potency=0.80p-7.34s-8.14
N
a 2,4-diaminopyrimidine
N
NH 2
H 2 N
R
R′
Tutorial:
Quantitative structure–
activity relationship
(QSAR)
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