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MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

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Page 1: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

MIKE FINOMIRACOSTA COLLEGE

Statistical Issues in Biomanufacturing:

Clinical Trials and Lot Acceptance

1

Page 2: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

The motivation for our discussion

http://news.sciencemag.org/sciencenow/2009/10/30-01.html

SCIENCE covered the results of the 2009 AIDS Thai trial, which resulted in an analysis between the vaccine and placebo group with a p-value of 0.04

A prominent AIDS vaccine researcher declared

The probability that this vaccine didn’t work was only 4%

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Page 3: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Which of these correctly state the p-value?

There's less than a 5% chance that the results are misleading

A p-value of 0.05 means that the null hypothesis has a probability of only 5%

Given a result with p ≤ 0.05, we state that there is a 95% or greater chance that the null hypothesis is incorrect

There's a less than 5% chance that I'm going to say this worked when it really didn't.

The p-value cut off of 5% means we have 95% confidence that this is real.

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Page 4: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

A Phase II Clinical Trial

A Study to Investigate the Neuroprotective Effect of PROCRIT (Epoetin Alfa) Versus Placebo in Cancer Patients Who Develop

Chemotherapy-induced Peripheral Neuropathy

The purpose of this study is to evaluate the neuroprotective effect of PROCRIT (epoetin alfa, a glycoprotein that stimulates red blood cell production) versus placebo in patients with cancer who develop chemotherapy-induced peripheral neuropathy due to combination Taxane and Platinum-Based treatment.

SOURCE: http://www.clinicaltrials.gov/ct2/show/NCT00267007

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Page 5: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Study Design5

Page 6: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

The Prevention

Peripheral neuropathy is a debilitating disease of the nerves which can be a dose-limiting toxicity of chemotherapeutic agents.

The symptoms of peripheral neuropathy can lead to considerable patient distress and discomfort, discontinuation of chemotherapy, and limitations regarding the selection of future chemotherapeutic regimens.

Symptoms such as numbness, weakness, burning pain (especially at night), and loss of reflexes may take months before they improve and permanent deficits may remain.

Epoetin alfa, already used in the treatment of chemotherapy-induced anemia, has been shown to have neuroprotective effects in preclinical studies.

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Page 7: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Primary Measure -- Results

Measure Title The Number of Patients Who Developed Peripheral

Sensory Neuropathy (National Cancer Institute Common Toxicity Criteria (NCI CTC) Score >= 1) at Week 12.

Measure Description NCI CTC neuropathy: a descriptive terminology used

to grade the severity of AEs in cancer subjects on a 0-5 scale. A higher score indicates worse peripheral neuropathy.

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Page 8: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Results

PROCRIT Placebo Totals

Developed Neuropathy

5 6 11

No Neuropathy 14 5 19

Totals 19 11 30

PROCRIT Placebo

Developed Neuropathy

26% 55%

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Page 9: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Did PROCRIT have an effect?

Play the skeptic for a second. What could you say about this data? Do you think the researchers could have just

been “lucky” – that just by chance they got these results?

PROCRIT Placebo

Developed Neuropathy

26% 55%

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Page 10: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

ACTUAL RESULTS

PROCRIT Placebo Totals

Developed Neuropathy

5 6 11

No Neuropathy 14 5 19

Totals 19 11 30

NO EFFECTNO EFFECTRESULTSRESULTS

PROCRIT Placebo Totals

Developed Neuropathy 77 44 11

No Neuropathy 1212 77 19

Totals 19 11 30

What we would expect, on average, by chance alone

Does the 5/6 split we got seem very different from the 7/4 expected?

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Page 11: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Resampling Activity

We want to know: if the PROCRIT is truly not effective in helping, how often would the random assignment process alone would lead to such a difference between the treatment groups?

We will answer this question by replicating the randomization process all over again, but in a situation where we play the skeptic and assume that PROCRIT therapy is not effective.

We’ll start with 11 “afflicted” and 19 non-afflicted, and we’ll randomly assign 19 of these 30 subjects to the PROCRIT therapy group and the remaining 11 to the placebo group.

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Page 12: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Resampling Activity

Everybody will receive a deck of cards. These cards match the patient outcomes if we believed that the therapy was NOT effective. 11 got neuropathy, 19 didn’t – what group they end up in is random and the “treatment” in the group does nothing to affect their outcome.

Pick 11 FACE CARDS to represent those with neuropathy

Pick 19 NUMBER CARDS to represent no neuropathy

We want to simulate what the skeptic believes. That is, how many people might we expect – BY CHANCE ALONE – to be in the PROCRIT Group that developed neuropathy. This is the number that you’re going to be tracking through FIVE rounds of resampling.

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Page 13: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Resampling Activity: Efficacy

1. Count out 11 face cards and 19 non-face cards. Set the remaining cards aside.

2. You will only be resampling the PROCRIT group because the number of PROCRIT-Neuropathy is the only number we’re going to pay attention to.

3. Shuffle, shuffle, then shuffle some more.4. Deal 19 cards out – this will represent the PROCRIT

Therapy group.5. Count how many have neuropathy (face cards) in the

PROCRIT group. Write this number down.6. Shuffle, shuffle, then shuffle some more.7. Repeat (3) through (5) until you have five numbers.

8. Go to the front of the class and mark your numbers on the class graph.

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Page 14: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Resampling Activity

We want to know, if the null hypothesis is true, how often would the random assignment process alone lead to such a large difference between the treatment groups?

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Page 15: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Results with 10,000 resamplings15

Page 16: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Safety Data with PROCRIT Study

PROCRIT Placebo Totals

Serious Adverse Event Reported

6 1 7

No SAE 13 10 19

Totals 19 11 30

PROCRIT Placebo

SAE Reported 32% 9%

Do we have a safety problem here?

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Page 17: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

ACTUAL RESULTS

PROCRIT Placebo Totals

Serious Adverse Event Reported

6 1 7

No SAE 13 10 23

Totals 19 11 30

NO EFFECTNO EFFECTRESULTSRESULTS

PROCRIT Placebo Totals

Serious Adverse Event Reported 4.44.4 2.62.6 7

No SAE 14.614.6 8.48.4 23

Totals 19 11 30

What we would expect, on average, by chance alone

Does the 6/1 split we got seem very different from the 4.4/2.6 expected?

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Page 18: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Resampling Activity: Safety

1. Count out 7 face cards and 23 non-face cards. Set the remaining cards aside.

2. You will only be resampling the PROCRIT group because the number of PROCRIT-SAE events is the only number we’re going to pay attention to.

3. Shuffle, shuffle, then shuffle some more.4. Deal 19 cards out – this will represent the PROCRIT

Therapy group.5. Count how many have an SAE (face cards) in the

PROCRIT group. Write this number down.6. Shuffle, shuffle, then shuffle some more.7. Repeat (3) through (5) until you have five numbers.

8. Go to the front of the class and mark your numbers on the class graph.

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Page 19: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Results with 10,000 resamplings19

Page 20: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

The Outcome20

Page 21: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Effect of Erythropoietin (EPO) in Kidney After Cardiac Surgery (EPO-CABG)

The purpose of this study is to determine whether erythropoietin is effective in preventing acute kidney dysfunction after coronary artery bypass grafting surgery.

SOURCE: http://www.clinicaltrials.gov/ct2/show/NCT00654992

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Page 22: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

EPO and AKI

Acute kidney injury (AKI) occurs in 7% to 40% of patients undergoing cardiac surgery, depending on the definition of AKI used.

Even small increments in serum creatinine have been shown to be associated with increased mortality after cardiac surgery.

However, there are no proven interventions to prevent AKI after cardiac surgery.

Erythropoietin (EPO) has been shown to have tissue-protective effects in various experimental models.

In this prospective, placebo-controlled, randomized trial, we evaluated the effectiveness of EPO in the prevention of AKI after coronary artery bypass grafting (CABG).

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Page 23: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Study Design23

Page 24: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Study Results

EPO Placebo Totals

AKI Observed 3 10 13

No AKI 33 25 58

Totals 36 35 71

EPO Placebo

AKI Observed 8% 29%

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Page 25: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Here we go again?

EPO Placebo

AKI Observed 8% 29%

PROCRIT Placebo

SAE Reported 32% 9%

Similar disparity between groups.Are we expecting a similar

conclusion?

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Page 26: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

ACTUAL RESULTS

EPO Placebo Totals

AKI Observed 3 10 13

No AKI 33 25 58

Totals 36 35 71

NO EFFECTNO EFFECTRESULTSRESULTS

EPO Placebo Totals

AKI Observed 6.66.6 6.46.4 13

No AKI 29.429.4 28.628.6 58

Totals 36 35 71

What we would expect, on average, by chance alone

Does the 3/10 split we got seem very different from the 6.6/6.4 expected?

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Page 27: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

The Approach to Hypothesis Testing27

Model what the data would like, if the null were true

Compare our actual results to the nullAsk whether our data would be expected or

unexpected in the model Expected data consistent with null (e.g. p-value

greater than 5%) Unexpected data rejects the null (e.g. p-value less

than 5%)

Page 28: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Results with 10,000 resamplings28

Page 29: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

29

Quality Control for a Cell-Based Therapeutic

BREAK

Page 30: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Tissue Engineering30

Processes which combine

living cells and biomaterials

to generate tissue in vitro or in vivo

for therapeutic implantation

or as diagnostic reagents

Page 31: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Process Overview31

Page 32: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Diabetic Ulcers32

People with advanced diabetes generally suffer from poor circulation in their extremities

Small cuts cannot resolve themselves due to inadequate delivery of nutrients

Neuropathy, an attendant complication, often allows the patient to “live with” the ulcer

It is not uncommon for patients to finally visit the doctor after having the ulcer for many months – sometimes years!

Page 33: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Angiogenic Foundation33

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Page 34: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

DERMAGRAFT® Growth Time Course34

2 Days

1 Day

8 Days

3 Hrs

Page 35: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

DERMAGRAFT® & Diabetic Foot Ulcers

35

Week 0

Week 5

Week 1

Week 8

Week 3

Week 10

Dermagraft implanted weekly for eight weeks

Page 36: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Batch Production36

Scale-up

Physician cutting piece

of skin

Manifold: 96 units

Each batch: Four manifolds

Page 37: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Dermagraft Production Overview37

Page 38: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Product Quality38

The FDA mandates that quality attributes are tested against pre-determined specifications to ensure

Purity Potency Consistency Identity Stability

Safety

Efficacy

Page 39: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Product Quality39

Safety and efficacy were both proven during the final (Phase III) clinical trial

Quality Control is the group that’s responsible for conducting the laboratory tests to demonstrate the product made today is the same as the Phase III material

Page 40: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Assays Related to Efficacy40

MTT A metabolic assay that’s generally viewed as a

measure of the number of viable cells

Sirius Red Colorimetric stain measuring collagen content – an

essential EM protein

DNA For a populated neo-dermis this is a relatively stable

measure of cell count

Page 41: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Assays Related to Safety41

Sterility A measure of asepsis

Endotoxin A measure of LPS from gram (-) bacteria

Mycoplasma Cell culture contaminant

Page 42: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Assay Specifications42

Each assay had its own specified limits of what’s acceptable

To measure the product against the specifications acceptance sampling is used A composite percent defective score from the

ANSI/ASQ Z1.9 Acceptance Sampling for Variables is calculated

This standard is a measure that’s making a check on the batch’s central tendency and its variability relative to the defined limits

Page 43: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

Acceptance Sampling43

The idea is rooted in inferential statistics Get a random sample from a large population (batch

of product) Analyze it (assays) Make a decision on the properties of the larger batch

based on the sample

Page 44: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

So what’s involved44

Determine sample size code based on batch size

Determine the maximum allowable percent defective, M (based on AQL)

Randomly sample and analyzeCompute sample mean and std devCompute quality indices: QU and QL

Find their associated percent defective: pU and pL

Compare pU + pL to M

Page 45: MIKE FINO MIRACOSTA COLLEGE Statistical Issues in Biomanufacturing: Clinical Trials and Lot Acceptance 1

QU and QL45

s

XUQU

s

LXQL

U is the upper limit of the specification for the assay

L is the lower limit of the specification for the assay

X is the sample average

s is the sample std deviation