Design & Analysis



TITE-CRM  The traditional design for dose-escalation trials has poor statistical properties, and the obvious fix--increasing the number of patients per dosing cohort--results in a trial that takes too long to execute, especially when testing chemoradiotherapies, which may have toxicities that take six months or a year to appear.   There are a number of alternative designs for Phase I trials, but TITE-CRM (Cheung & Chappell, 2000)  is the only one I know of that allows for continual enrollment of subjects.  The Radiation Oncology department has initiated more TITE-CRM trials than any other group in the world, and I have extended the method to incorporate different parametric dose-toxicity models and a more flexible nonparametric framework.


Slide show on designing a TITE-CRM trial using a real example

SAS tool to design and manage TITE-CRM trials

Slide show on characteristics and potential innovations in the TITE-CRM paradigm


Pharmacoketic analysis using PROC NLMIXED  Statisticians are sometimes called upon to analyze pharmacokinetic analyses, without access to the tool NONMEM, which is widely used in the pharmacokinetics community.  While SAS PROC NLMIXED appears immediately appropriate for such analyses, I found that there were a number of issues in even simple analyses that trip up the statisitican who knows significantly less than he thinks he does (nobody we know, of course).   Here is a technical report on UMCC 9941, a 12-patient PK study on curcumin (a component of turmeric that has chemopreventitive potential), and the SAS code that does the basic single compartment, first-order absorption and elimination PK analysis (but not all the graphics, which made the program too large and intimidating).  It includes model-based calculations of AUC, Cmax, tmax and t1/2.  If you are doing a PK analysis using NLMIXED for the first time, you may find some of this useful.

Technical Report on Pharmacokinetics of Curcumin Conjugates from UMCC 9941

SAS Code for Pharmacokinetic Analysis in Technical Report


Bayesian models for assay calibration   When several calibrated assays are combined to form a scientifically or clinically meaningful ratio, the derivation of confidence and/or prediction intervals is messy, especially if the calibration curves are nonlinear.  Simultaneous estimation of ratios of parameters and their prediction intervals can be automated using a Bayesian model and Markov Chain Monte Carlo estimation.  We will present a framework and an example of estimates of ratios of polyamines from the Barrett's esophagus trial.  This is still work in progress, and there is no slide show yet.  There is, however, a slide show that describes the genesis of this work, using robust (M-) estimators in a four-parameter logistic calibration model.  This material was also covered in the Statistics in Medicine paper.

Slide show on computation of M-estimators in the four-parameter logistic calibration model


Phase I and Phase II trials with continual improvement  Laboratory science moves faster than clinical science.  Definitively proving that Treatment A  is better than Treatment B requires a Phase III trial that takes several years, multiple clinical centers and the associated bureaucracy, and by the time you're done, Treatment F is all the vogue.  How do you legitimately test treatment innovations in a single center in fast lab time, rather than glacial clinic time? The answer is:  by employing surrogate endpoints, but the devil is in the details.  We establish a framework for continual trials of innovative chemoradiotherapies using surrogate endpoints.


Proteomics to predict cancer  SELDI and MALDI are examples of high-throughput mass spectroscopy technologies that show great promise for screening for cancer in clinical or even naive populations, but there are significant technical challenges, and other groups have made some ugly missteps.  The Great Lakes-New England Early Detection Research Network Clinical and Epidemiology Center is conducting a study to see, if we do everything right, can we use SELDI-TOF to identify colon cancers?


A slide show on the perils of high-tech screening tools

SELDI-TOF for colon cancer


Early imaging endpoints to assess outcome and revise treatments  We would like to use advanced imaging technologies, such as functional magnetic resonance imaging (fMRI) and V/Q SPECT, to determine if patients are responding while radiation treatment is being conducted, so that the treatment can be changed accordingly.  We are also interested in determining if radiation is opening the blood-tumor barrier, since it may be possible to open the blood-tumor barrier while not opening the blood-brain barrier, thus allowing selective administration of large molecules like Gemcitabine to tumors, while protecting normal brain.  Up to now, however, most clinical analyses of these technologies involve looking at the images; Tim Johnson of the Department of Biostatistics & I want to make these analyses quantitative and objective by means of a Markov Random Field model.


Hierarchical Bayesian models for biomarker outcomes  We imaged esophageal biopsies from patients in the trial of DFMO for patients with Barrett's Esophagus to obtain an index of Ki-67, a proliferation marker.  Multiple images were available from each slide, multiple slides from each biopsy, multiple biopsies from each procedure, and multiple procedures from each subject, who were randomized to DFMO or placebo.  I use a deeply hierarchical Bayesian model to try and capture what is going on .  It isn't pretty.


Hierarchical Bayesian model for Ki-67 as a marker for  Barrett's esophagus



Data safety and monitoring boards as education tools for statisticians  Most clinical investigators view data safety and monitoring boards (DSMBs) as, at best, a necessary evil.   Many would also find them superfluous for Phase I and II trials, but, since the Department of Radiation Oncology is conducting Phase I dose-escalation trials on chemoradiotherapies with potentially lethal side effects, we have instituted monthly DSMB meetings for all our Phase I and Phase II trials.  While they may be inconvenient for the PIs, properly conducted, regular DSMB meetings bring transparency and rigor to decision-making, improve communication between clinicians, data managers and statisticians, and are highly educational for statisticians.



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© 2007 Daniel Normolle