Proceedings of the 2007 Winter Simulation Conference
S. G. Henderson, B. Biller, M.-H. Hsieh, J. Shortle, J. D. Tew, and R. R. Barton, eds.
A DISCRETE EVENT MODEL OF CLINICAL TRIAL ENROLLMENT AT ELI LILLY AND COMPANY
Bernard M. McGarvey
Nancy J. Dynes
Burch C. Lin
Wesley H. Anderson
James P. Kremidas
James C. Felli
Eli Lilly and Company
Lilly Corporate Center
Indianapolis, IN. 46285, U.S.A.
ABSTRACT
Clinical trials constitute large, complex, and resource in-
tensive activities for pharmaceutical companies. Accurate
prediction of patient enrollment would represent a major
step forward in optimizing clinical trials. Currently models
for patient enrollment that are both accurate and fast are
not available. We present a discrete event model of the pa-
tient enrollment process that is accurate and uses relatively
small CPU times. This model is now being used on a regu-
lar basis to predict the enrollment of patients for large trials
with around 13,000 patients and has led to significant re-
duction in the time it takes to make these predictions.
1 INTRODUCTION
The management of clinical trials used to determine the
safety and efficacy of new pharmaceutical products repre-
sents a major investment in resources for pharmaceutical
companies. Such clinical trials consist of a number of
complex and interdependent tasks, including: protocol de-
velopment and approval, trial site selection, and patient
identification, selection, and enrollment. Clinical trials also
represent a major opportunity for pharmaceutical compa-
nies to optimize the overall new drug approval process.
Some of the issues that can occur in the clinical trial pa-
tient enrollment process include:
• Delay of study completion due to poor enrollment.
Approximately 80% of clinical trials across the
industry do not complete enrollment as planned,
resulting in increased clinical operations expenses,
cancelled trials, and loss of future revenues from
delayed submissions.
• Over-enrollment of patients to provide a safety
factor. Each extra patient that adds to the cost of a
trial without improving the statistical value of the
analysis results in excess and unnecessary ex-
penses. Subsequently such patients may be ex-
cluded from the trial and so the resources used to
enroll these people are wasted.
• Mismatch of supply and demand for resources
used in the trial. When resources such as clinical
trial material are not synchronized with the avail-
ability or location of enrolled patients, wasted ma-
terials or delayed study completion can result.
Felli et al. (2007) give a good discussion of current ef-
forts to improve the patient enrollment process for clinical
trials. In particular, the ability to predict the enrollment rate
of patients in a clinical trial is presented as an important
element of improving the clinical trial process overall. A
theoretical model based on semi-Markov chain analysis
developed at Eli Lilly (Felli et al. 2007) showed that mod-
eling patient enrollment can lead to useful predictions. This
model allowed the prediction of total patient enrollment
rates based on the rates of enrollment at individual sites,
anticipated patient drop out rates and so on.
After this initial success, focus groups were created at
Eli Lilly to evaluate the usefulness of the general model as
a practical tool for the ongoing prediction of clinical trial
enrollment. The main issue identified by these groups con-
cerned the model execution time. Even for a relatively
small clinical trial involving 700 patients over a 300 day
simulation time horizon took about 2 ¾ hours on a desktop
computer. Since the original vision for using the prediction
model would allow users to do what-if scenario analysis as
they sat at their desktop computers, such a long execution
time was clearly unacceptable. Based on discussions with
users the following goals for execution times were set:
• small trials (<1000 patients) should take on the
order of 5 minutes or less to simulate
• large trials (>10,000 patients) should take on the
order of 30 minutes or less to simulate.
1467 1-4244-1306-0/07/$25.00 ©2007 IEEE