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Biased Ligand Quantification
in Drug Discovery: From
Theory to HTS to Identify
New Biased µ Opioid
Receptor Agonists
Opioids are the most effective analgesics
available clinically
• Opioids remain the most
efficacious analgesic
• Commonly prescribed:
• WW market $12.2Bn
US analgesic prescriptions
by class
Opioids
US sales: $7.3Bn. WW market $12.2Bn
Biased Agonism at GPCRs/7TMs
DESIRED UNWANTED
Stabilisation of different
active conformations of
the receptor
The origins of bias we measure
Christopoulos Reciprocal Relationships: The Ying & Yang of GPCR Allostery
NO
SAR
NO
SAR
The use of a common
reference can overcome
observational and system
bias
Calculating ligand bias
• A key requirement for all methods of biased ligand quantification is a scale which
accounts for both potency and maximal response of the agonist and the use of a
common reference compound to overcome observational and systemic bias.
• The “gold standard” method for describing agonist activity is the operational
model of Black and Leff (1983).
• This furnishes a parameter log(τ/KA) which when combined with common
reference gives Δ log(τ/KA). (Kenakin and Christopoulos 2013) a measure of
relative agonist activity.
Δlog(τ/KA) = log(τ/KA)test - log(τ/KA)ref
• and finally ΔΔlog(τ/KA) – which is a measure of pathway bias for a given
compound.
• ΔΔlog(τ/KA) = Δlog(τ/KA)pathway1 - Δlog(τ/KA)pathway2
• This is great, BUT it is not practical on an industrial scale where 200-300 curves
are fitted in a single experiment, is there a simpler alternative ?
ΔΔlog(Emax/EC50) – A simple alternative ?
• When the slope =1 then (τ/KA) = (Emax/EC50) (Ehlert et al 1999,
Kenakin and Christopoulos 2013).
• This can be calculated from the Emax and EC50 estimated from
the concentration response curves for the compound and
reference as shown below.
∆log(Emax/EC50) = log(𝐸𝑚𝑎𝑥
𝐵
𝐸𝐶50𝐵) − log(
𝐸𝑚𝑎𝑥
𝐴
𝐸𝐶50𝐴) where A is the reference and B the test compound
• But can we use it if slope ≠ 1 ?
Optimising assays to support HTS - cAMP
The GTPγS assay is not suitable for HTS so an alternative cAMP assay was
developed.
Standards gave similar values of agonist activity in both assays analysed by
either Δlog(τ/KA) or Δlog(Emax/EC50).
U20S β-arrestin DiscoveRx assay
• Difficult to resolve compounds with
Emax less than morphine – which are
potentially interesting compounds.
• We knew U2OS cells have low
expression of GRKs. Which are
involved in the recruitment of βarrestin.
Nickolls et al 2013
-1 0 -9 -8 -7 -6 -5
-2 0
0
2 0
4 0
6 0
8 0
1 0 0
1 2 0
[D A M G O ] lo g [M ]
% m
ax
eff
ec
t o
f P
fiz
er S
tan
da
rd
1
U n tra n s d u c e d
M O I 2
M O I 5
M O I 1 0
M O I 5 0
Untransduced
MOI 2
MOI 5
MOI 10
MOI 50
Emax (%)
95.0
92.9
103.1
108.5
109.7
Slope
1.39
1.01
1.05
1.21
1.37
EC50 (M)
1.6e-007
3.8e-008
2.1e-008
9.5e-009
6.8e-009
A
-1 0 -9 -8 -7 -6 -5
-2 0
0
2 0
4 0
6 0
8 0
1 0 0
1 2 0
[m o rp h in e ] lo g [M ]
% m
ax
eff
ec
t o
f P
fiz
er S
tan
da
rd
1 U n tra n s d u c e d
M O I 2
M O I 5
M O I 1 0
M O I 5 0
Untransduced
MOI 2
MOI 5
MOI 10
MOI 50
Emax (%)
27.0
46.3
70.5
92.9
96.2
Slope
1.10
0.94
0.91
0.88
0.99
EC50 (M)
2.4e-007
6.2e-008
4.0e-008
3.0e-008
1.7e-008
B
The effect of increasing GRK2 expression on the pharmacology of DAMGO (A) and
morphine (B) in the PathHunter ß-arrestin2 assay.
morphine DAMGO
Effect of GRK2 co-expression
Agonist activity of a set of 10 standard compounds in the PathHunter ß-
arrestin2 assay +/- GRK2, calculated using Δlog(τ/KA) and
Δlog(Emax/EC50).
Co-expression of GRK2 increased the
dynamic range of the assay without a
large effect on the relative agonist
activity as measured by either
Δlog(τ/KA) or Δlog(Emax/EC50).
Pathway bias calculation
Pathway bias values for standard compounds determined using ΔΔlog(τ/KA)
or ΔΔlog(Emax/EC50)
Biased towards cAMP
Biased towards βarrestin
Pathway bias values and the
associated 95% confidence
intervals. A paired t test showed no
significant difference (p=0.52) and a
correlation coefficient of r = 0.863.
(τ/KA) vs. (Emax/EC50)
Correlation of pathway bias values determined using either
ΔΔlog(τ/KA) or ΔΔlog(Emax/EC50).
Pathway bias values and the associated 95% confidence
intervals. A paired t test showed no significant difference
(p=0.52) and a correlation coefficient of r = 0.863.
Conclusions
• Ligand bias has the potential to give us new and improved
therapeutics to treat disease.
• Drug discovery has a wealth of in vitro assays with which to
screen for activity and bias. However, making sense of the
results to drive forward SAR can be confounded by both
observational and systemic bias.
• The use of the log(τ/KA) and a common reference overcomes
these issues, but it is practically impossible to perform this
analyses on an industrial scale where 200-300 curve fits are
performed per experiment.
• Our data has confirmed that log(Emax/EC50)* can be used as a
simple to apply alternative which allowed us to rapidly calculate
activity and bias in a consistent manner and triage the output
from an HTS for further screening and analysis.
* If slope ~1ish