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Assessment of QTc prolongation in clinical
drug development
Presented by Dr. Alex Dmitrienko (Lilly)
on Thursday, May 22, 2008 (noon-2:00 Eastern time).
Handouts
White paper: Design and analysis of thorough
QT studies
Download
a copy of the white paper written by Dr. Alex Dmitrienko, Dr.
Charles Beasley and Dr. Malcolm Mitchell to facilitate an open
discussion of issues related to the design and analysis of thorough
QT studies.
Comments
submitted by QT experts across the industry.
References
Thorough QT studies
Alfuzosin thorough QT study, Darifenacin
thorough QT study, Duloxetine thorough QT study, Levetiracetam
thorough QT study, Tadalafil thorough QT study, Tolterodine thorough
QT study, Vardenafil thorough QT study. See thorough
QT study references in the Cardiac Safety Annotated Bibliography.
Other references
Antunes M. Optimising the design of thorough
QT/QTc studies. 2006 [ Download
presentation].
Bazett HC. An analysis of time relation of
electrocardiograms. Heart. 1920; 20:174-195.
Boos D, Hoffman D, Kringle R, Zhang J. New
confidence bounds for QT studies. Statistics in Medicine. 2007;
26: 3801-3817.
Cheng B, Chow SC, Burt D, Cosmatos D. Statistical
assessment of QT/QTc prolongation based on maximum of correlated
normal random variables. Journal of Biopharmaceutical Statistics.
2008; 18: 494–501.
Dmitrienko A, Smith B. Repeated-measures
models in the analysis of QT interval. Pharmaceutical Statistics.
2003; 2: 175-190.
Eaton ML, Muirhead RJ, Mancuso JY, Lolluri
S. A confidence interval for the maximal mean QT interval change
due drug effect. Drug Information Journal. 2006; 40: 267-271.
Ferber G. Statistical aspects of a thorough
QT safety assessment. 2008 [ Download
presentation].
Fridericia LS. Die Systolendauer im Elecktrokardiogramm
bei normalen Menschen und bei Herzkranken. Acta Medica Scandinavia.
1920; 53: 469-486 [English translation: Fridericia LS. The duration
of systole in an electrocardiogram in normal humans and in patients
with heart disease. Annals of Noninvasive Electrocardiology. 2003;
8: 343-351]
Garnett CE, Beasley N, Bhattaram VA, Jadhav
P, Madabushi R, Stockbridge N, Tornoe CW, Wang Y, Zhu H, Gobburu
JV. Concentration-QTc relationships play a key role in the evaluation
of pro-arrhythmic risk during regulatory review. The Journal of
Clinical Pharmacology. 2008; 48: 13-18.
Glomb P, Ring A. Use of baseline ECGs in
the evaluation of thorough QT studies with crossover design. 2008
[ Download
poster].
Lipicky RJ. Cardiac safety of noncardiac
drugs. Morganroth J, Gussak I (Editors). Humana Press. 2005: 3-9.
Ma H, Smith B, Dmitrienko A. Statistical
analysis methods for QT/QTc prolongation. Journal of Biopharmaceutical
Statistics. 2008; 18: 553-563.
Morganroth J, Brozovich FV, McDonald JT,
Jacobs RA. Variability of the QT measurement in healthy men, with
implications for selection of an abnormal QT value to predict
drug toxicity and proarrhythmia. American Journal of Cardiology.
1991; 67: 774-776.
Muirhead R. Recent developments in the analysis
of QT interval data. 2008 [ Download
presentation].
Nagy D, DeMeersman R, Gallagher D, Pietrobelli
A, Zion AS, Daly D, Heymsfield SB. QTc interval (cardiac repolarization):
lengthening after meals. Obesity Research. 1997; 5: 531-537.
Offen W, Chuang-Stein C, Dmitrienko A, Littman
G, Maca J, Meyerson L, Muirhead R, Stryszak P, Boddy A, Chen K,
Copley-Merriman K, Dere W, Givens S, Hall D, Henry D, Jackson
JD, Krishen A, Liu T, Ryder S, Sankoh AJ, Wang J, Yeh CH. Multiple
co-primary endpoints: Medical and statistical solutions. A report
from the Multiple Endpoints Expert Team of the Pharmaceutical
Research and Manufacturers of America. Drug Information Journal.
2007; 41: 31-46.
Ring A. The relationship between pharmacokinetic
exposure and QT prolongation in cardiac safety trials. 2008 [ Download
presentation].
Sagie A, Larson MG, Goldberg RJ, Bengtson
JR, Levy D. An improved method for adjusting the QT interval for
Heart Rate (the Framingham Heart Study). American Journal of Cardiology.
1992; 70: 797-801.
Shi J, Lasser T, Koziol T, Hinderling PH
. Kinetics and dynamics of sematilide. Therapeutic drug monitoring.
1995; 17: 437-444.
Tsong Y, Shen M, Zhong J, Zhang J. Statistical
issues of QT prolongation assessment based on linear concentration
modeling. Journal of Biopharmaceutical Statistics. 2008; 18: 564-584.
Williams EJ. Experimental designs balanced
for the estimation of residual ffects of treatments. Australian
Journal of Scientific Research, Series A. 1949; 2: 149-168.
Zhang L, Dmitrienko A, Luta G. Sample size
calculations in thorough QT studies. Journal of Biopharmaceutical
Statistics. 2008; 18: 468-482 [ SAS
code for sample size calculations in thorough QT studies].
Guidance document
ICH E14. Clinical Evaluation of QT/QTc Interval
Prolongation and Proarrhythmic Potential for Non-Antiarrhythmic
Drugs [ Download].
Responses to questions submitted during the
webinar
Question: Suggestions for handling
missing ECG for a timepoint in a time-matched analysis (Slide
25)?
Response: Missing data do not typically cause major problems
in early-stage studies. However, where there are missing measurements,
repeated-measures models can be used to recover some of the missing
information.
Question: Any literature on enhanced precision by increasing
the number of beats measured per replicate (Slide 28)?
Response: I can't think of any papers on this topic. In
general, if the information is combined across the beats within
a single replicate, increasing the number of beats should reduce
the measurement error.
Question: I assume a decision to go with only a supratherapeutic
dose implies they did some animal studies (HERG) first and found
the compound to be "clean" (Slide 38)?
Response: Yes, both pre-clinical and clinical data (multiple
clinical studies are typically conducted before a thorough QT
study is initiated) are taken into account to support this decision.
Question: Were these 4 studies all healthy normal volunteers
(Slide 54)?
Response: Yes. Please see Zhang, Dmitrienko and Luta (2008)
for more information about the studies.
Question: Why did you choose the Fridericia correction
(Slide 55)? Are there any studies that show the difference in
accuracy between different ways of QT correction (Bazett, Fridericia,
etc)?
Response: The Fridericia correction was chosen because
it is widely used in thorough QT studies. We have not specifically studied
differences between the Fridericia-based variance components and
variance components associated with other corrections but, based on an informal assessment, there are quite small.
Question: If you have a single post-dose time point what
is the difference between Day and Time effects (Slide 56)?
Response: The model introduced on this slide assumes there
are multiple post-dose time points.
Question: Why did you choose the covariance structure you
are using now (Slide 56)? Any research behind that?
Response: A multivariate model with this covariance structure
provides a reasonably good fit to QTc data. In general, the fit
can improved by adding random terms with an autoregressive
covariance structure but the magnitude of this improvement is
quite small and we decided to stick with a straightforward compound
symmetry assumption.
Question: Have you considered an assessment of optimal
number of replicates that include the cost for the additional
replicates (Slide 59)?
Response: Dr. Georg Ferber (Novartis) pointed out that, when one decides
on the number of replicates and baseline measurements, one can
calculate the total cost of the trial and look for a minimum.
The costs for replicate ECGs and additional baseline measurements
can be balanced against the savings made by a
reduced sample size obtained. Monica Antunes (Novartis) discussed
this topic in her 2006 presentation.
Question: How will the adjustment of multiple testing help
to deal with the problem with more post-dose time points (Slides
80 and 81)?
Response: Unlike the naive approach (one-sided 95% confidence
interval for the largest time-matched treatment difference is
used regardless of the number of post-dose time points), the multiplicity
adjustment controls the probability of incorrectly concluding
that the test drug induces QTc prolongation.
Question: Does the FDA accept multiplicity corrected confidence
intervals in thorough QT studies (Slides 80 and 81)?
Response: Based on information shared by statisticians
across the industry, thorough QT studies in which the primary
analysis utilized multiplicity corrected confidence intervals
have been submitted to the FDA.
Question: In a crossover thorough QT study do you use the
placebo period to calculate the QTcI (Slide 91)?
Response: Yes, all off-treatment ECG recordings are used
to calculate the individual QT corrections.
Question: For your linear correction model on Slide 90,
did you need to assume a variance/covariance structure?
Response: If there are multiple ECGs per subject, a random
subject term can be included in the model, which will induce
a compound-symmetry variance/covariance structure. More complicated
variance/covariance structures can be considered as well if they
improve the fit of the model.
Question: We have multiple single arm trials (3 replicates
at baseline), how to define the delta QTc (vs. plasma concentration)
for exposure modeling (Slide 102)?
Response: When defining the change in QTc interval in the
QTc-exposure analysis, it is important to account for circadian
trends in QTc duration. In other words, one needs to perform
a time-matched analysis of QTc changes (see Slide 25).
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