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SME workshop: Statistical perspectives in regulatory clinical development programmes Session 2: Statistical considerations in exploratory studies Presenter: Dr Byron Jones Executive Director Statistical Methodology and Consulting Novartis


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SME workshop: Statistical perspectives in regulatory clinical development programmes Session 2: Statistical considerations in exploratory studies

Presenter: Dr Byron Jones Executive Director Statistical Methodology and Consulting Novartis Pharma AG Basel Switzerland

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SME workshop: Statistical perspectives in regulatory clinical development programmes Session 2: Statistical considerations in exploratory studies

I am speaking today on behalf of EFSPI, and any views or opinions expressed in this presentation are personal, and should not be attributed to my employer, Novartis Pharma, AG.

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Acknowledgements: Bjoern Bornkamp, Frank Bretz, Ieuan Jones, Roland Fisch, Heinz Schmidli, Oliver Sander, Parasar Pal.

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Contents

  • Introduction to drug development
  • Pharmacokinetics(PK)/Pharmacodynamics(PD)
  • Phase I dose escalation
  • Phase II proof-of-concept
  • Phase II dose finding
  • Adaptive dose finding designs
  • Predictive power
  • [Modelling and simulation are scattered throughout]

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Drug Development Path

A well defined but complicated journey

  • Drug development follows a well-defined path:

– Drug discovery and preclinical development – Clinical development

  • Phase I, II, & III clinical trials

– Regulatory application and registration

  • Approval by health authorities from different

countries – Post-Approval / Marketing

  • Phase IV clinical trials
  • Drug development

– very complex, with a high risk of failure

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An Overview of Drug Development

From research to registration

Safety Proof of concept Efficacy / PK / Dose finding

~ 11-15 years Research Development

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An Overview of Drug Development

From research to registration: high risk

Safety Proof of concept Efficacy / PK / Dose finding

~ 11-15 years Research Development

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10 high attrition rate 10K compounds 1 drug to market

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An Overview of Drug Development

From research to registration

Phase Sample size per study Length per study Study population Objective

I

First in human/PK

6 – 20 Weeks – Months Healthy volunteers Safety, pharmacokinetics & pharmacodynamics; determining maximum tolerated dose (MTD) II

First in patients

50 – 200 Months Patients Proof of concept; dose finding III

Submission

200 – 10,000 Months – Years Patients Confirmatory IV

Post approval

Broad range Broad range Patients Post marketing Health Authority commitments; health economics; pharmacovigilance

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An Overview of Drug Development

Early Phase Trials

Phase Sample size per study Length per study Study population Objective

I

First in human

6 – 20 Weeks – Months Healthy volunteers Safety, pharmacokinetics & pharmacodynamics; determining maximum tolerated dose (MTD) II

First in patients

50 – 200 Months Patients Proof of concept; dose finding III

Submission

200 – 10,000 Months – Years Patients Confirmatory IV

Post approval

Broad range Broad range Patients, Market Post marketing Health Authority commitments; health economics; pharmacovigilance

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An Overview of Drug Development

Phase I trials

Safety Proof of concept Efficacy / PK / Dose finding

~ 11-15 years Research Development

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  • First studies of drug in humans
  • Pharmacokinetics (PK) & Pharmacodynamics (PD)
  • Maximum Tolerated Dose (MTD)
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Phase I trials

pharmacokinetics and pharmacodynamics

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Pharmacokinetics

“What does the body do with the drug?”

Pharmacokinetics is the study of

  • Absorption: How the drug gets absorbed into the blood
  • Distribution: How the drug is distributed in the body when

it has reached the blood

  • Metabolism: How the drug is changed in the body
  • Excretion: How the drug is excreted/eliminated from the

body

  • To answer these questions, samples of blood, urine, feces,

etc., are taken from healthy volunteers or patients over a set time period and the concentrations of drug in these are measured.

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Example drug-concentration vs time plot

concentrations in blood for each patient can be plotted

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Simple one-compartment model

model to explain shape of plot can be proposed

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Stomach Blood Dose absorption excretion

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Simple one-compartment model

model to explain shape of plot can be proposed

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Stomach Blood Dose absorption excretion rate=ka rate=ke concentration in stomach = C1(t) concentration in blood = C2(t)

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One compartment model

model for concentration of drug in blood

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Typical drug-concentration plots

After multiple oral doses

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Typical drug-concentration plots

After multiple oral doses

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steady state

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Single Ascending Dose (SAD) study

How to choose a dose to take forward into clinical trials

  • First-in-Human (FIH) study
  • healthy male (or female) subjects
  • low number of subjects (limit risks)
  • single doses: cohorts of subjects go from low doses to

high doses, in an ascending fashion, up to the maximum tolerated dose (MTD)

  • each dose may be given to a different cohort of

subjects

  • blinded
  • Evaluate safety and tolerability before increasing dose to

next level

  • so adaptive in nature

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Single Ascending Dose (SAD) design

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Stopping rule based on number of SAEs -> MTD ? Stop Cohort (8 subjects, 6 active, 2 placebo) increasing dose

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Single Ascending Dose (SAD) designs

  • Choice of starting dose

– FDA – EMA

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Single Ascending Dose (SAD) design

  • Subjects in a cohort are assessed for safety and

tolerability before dose is increased

  • Safety: adverse events
  • Study can be stopped at any time
  • Secondary objective is to evaluate PK

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Multiple Ascending Dose (MAD) design

How to choose a dose to take forward into clinical trials

  • Started once MTD of single dose is established
  • Healthy subjects will typically take a dose of the drug

daily for a period of time

  • Important to evaluate safety and tolerability of multiple

dosing at steady state

  • Design is similar in structure to SAD design

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Multiple Ascending Dose (MAD) design

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Cohort (8 subjects, 6 active, 2 placebo) increasing dose e.g., one dose taken daily for 10 days 6:2 (active:placebo) randomization

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An Overview of Drug Development

Phase IIa trials

Safety Proof of concept Efficacy / PK / Dose finding

~ 11-15 years Research Development

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  • Phase IIa – Proof of concept
  • Phase IIb – Dose finding
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Proof of Concept (PoC)

A key milestone in drug development

  • Definition given by PhRMA (Pharmaceutical Research

and Manufactures of America): PoC is the earliest point in the drug development process at which the weight of evidence suggests that it is reasonably likely that the key attributes for success are present and the key causes of failure are absent

  • PoC is the translational step from “Research” to

“Clinical Development”

Cartwright, et al. (2010)

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Cartwright, M. E., et al. (2010). Proof of Concept: a PhRMA position paper with recommendations for best practice, Clinical Pharmacology and Therapeutics, vol. 87, p. 278–285.

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Example PoC study

Fisch, R., et al. (2014)

  • Cystic Fibrosis (CF):

– a “genetic disorder ... that affects mostly the lungs... Long-term issues include difficulty breathing .. as a result of frequent lung infections.” [Wikipedia]

  • Study design: randomized, double-blind, placebo-

controlled parallel groups trial

  • Primary endpoint: change from baseline in percentage of

predicted Forced Expired Volume over 1 second (FEV1) at day 28

  • Fisch, R., Jones, I., Jones, J., et al. (2014) Bayesian Design of Proof-of-Concept Trials.

Therapeutic and Regulatory Science. Published online 14 May 2014. 27

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PoC criteria

What is “weight of evidence”?

  • Not only interested in statistical significance

(p-value) of effect of drug vs placebo

  • But whether the improvement over placebo is

clinically relevant.

  • Need both to declare a successful PoC study

result

  • Also need to consider probability of making

correct PoC decision

  • Bayesian methodology most suited to planning

and analysing a PoC study

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Bayesian Methodology very short introduction

  • Gives a formal way of

integrating prior knowledge of the treatment effect in the form of a prior distribution with the distribution of the data from the trial in the form of the likelihood to give an updated estimate

  • f the treatment effect in

the form of a posterior distribution

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Decisions are based on the posterior distribution

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PoC criteria

clinical relevance

  • Define a threshold separating marginal from

competitive efficacy. Given various names: – target difference; minimum clinically important difference ; walk-away-point, ...

  • Generally smaller than both treatment effect of

best compounds on market and “alternative” treatment effect used in traditional power calculations.

  • But can be higher in a more aggressive PoC

study

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Example PoC study, cont’d

Fisch, R., et al. (2014)

  • Historical data from a competitor shows mean

improvements over placebo of around 10% in the primary endpoint in a similar population

  • Clinical considerations lead to the decision that if

the true improvement of the drug over placebo was greater than 5% then it would be good enough to take further into development

  • Hence the walk-away-point was set at 5%

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Example PoC study, cont’d

Fisch, R., et al. (2014)

  • Recall, that in addition to this clinical

requirement, we also require statistical significance when drug is compared to placebo, i.e., strong evidence that improvement is greater than zero

  • This was expressed as a 10% one-sided

significance level

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PoC criteria

What has to be achieved to declare a positive PoC

  • Let θ = true difference between means of the primary

endpoint when drug is compared to placebo

  • PoC criteria (Bayesian in nature):

– Significance: Prob(θ >0 | data from trial) >= 0.90 – Relevance: Prob(θ > 5% | data from trial) >= 0.50

  • In the former we require high level of confidence and in

the latter a moderate level of confidence

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PoC: Possible decisions

Go, Stop, Indeterminate

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relevance significance

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PoC: Possible decisions

Go, Stop, Indeterminate

  • A well-designed PoC study will aim to minimize

the chance of a false decision ...

  • and achieve an acceptable balance between the

probabilities of GO or STOP decisions and the probability of an INDETERMINATE decision

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Optimizing the design of a PoC study

Using operating characteristics

  • How do we decide if the design of the PoC study

(sample size, choice of decision thresholds) is good enough?

  • The answer is to calculate the operating characteristics
  • f the design, e.g., the posterior probabilities of making

correct decisions under different choices for the true value of the treatment effect

  • This is done either using technical calculations in simple

situations or by simulation in more complicated situations (interim analysis, sample size re-estimation,...)

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PoC Example cont’d

  • perating characteristics for CF design

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Plot shows posterior probability (vertical axis) of each decision (GO: green curve, STOP: red curve, IND: orange curve), as the size of the drug vs placebo effect changes from 0 to 8 (horizontal axis)

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PoC Example cont’d

  • perating characteristics for CF design

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Plot shows posterior probability (vertical axis) of each decision (GO: green curve, STOP: red curve, IND: orange curve), as the size of the drug vs placebo effect changes from 0 to 8 (horizontal axis) three probabilities add to 1 for each treatment difference

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PoC Operating Characteristics

sample size 78 (52:26)

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90% chance to stop when difference=0

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PoC Operating Characteristics

sample size 78 (52:26)

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50% chance of GO when difference=5%

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PoC Operating Characteristics

sample size 78 (52:26)

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Maximum chance (30% approx)

  • f indeterminate occurs

when difference is about 4%

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PoC Operating Characteristics

sample size 78 (52:26)

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Chance of a GO decision is 68% approx when difference is 6%

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PoC Operating Characteristics

use these to look at design modifications

  • Modifications such as

– Changing sample size – Adding an interim analysis

  • stop or go decision at interim
  • re-estimate sample size at interim

– Changing decision thresholds

  • Can be investigated by simulating the trial many

(1000s) times within a computer

  • Final choice of design can then be made based
  • n operating characteristics

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An Overview of Drug Development

Phase IIb trials

Safety Proof of concept Efficacy / PK / Dose finding

~ 11-15 years Research Development

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  • Phase IIa – Proof of concept
  • Phase IIb – Dose finding
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Phase II Dose Finding

Phase IIb trials

  • A well-known quote to begin with:

All things are poison and nothing is without poison,

  • nly the dose permits something not to be poison.
  • Paracelsus

(1493-1541)

Source: Wikipedia 45

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What needs to be learned in Phase IIb?

  • Determine the dose-response relationship.
  • What is the effect size the drug can achieve?
  • Identify increasing part of dose-response (what is the

largest dose with placebo-like effect, what is the smallest dose with (close-to) maximum effect)?

  • Which doses lead to an unacceptable efficacy

tolerability/safety trade-off (i.e., what is the therapeutic window)?

  • Ultimately to choose dose(s) for Phase III trial

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What are the important features of a dose-response relationship?

  • In the following we consider a basic shape for the dose-

response and identify some important metrics

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Standard (increasing) dose response shape

Placebo response Maximum response

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Standard (increasing) dose response shape

Placebo response Maximum response

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Standard (increasing) dose response shape

Placebo response Maximum response

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Standard (increasing) dose response shape

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Often can specify a clinically relevant effect Δ above Placebo

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Standard (increasing) dose response shape

Effective dose range

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Standard (increasing) dose response shape

Alternative target responses: 50% and 90% of maximum response

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Standard (increasing) dose response shape

ED50 and ED90

EDxx : dose that gives xx percent of the maximum improvement over Placebo 54

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Standard (increasing) dose response shape

Dose range of interest: steep part of the curve

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Emax model

One very useful parameterization of the dose response model (D=dose)

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Sigmoid Emax Model

A generalization of the Emax model (additional parameter h)

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Number of Active Doses

  • If dose-response curve was known:

– 3-4 doses enough, placed to cover interesting range and maximim effect

  • Larger number of doses become necessary due to

uncertainty

  • Adequate trade-off often in the range of 4-6 active doses

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NVA case-study

Example

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Publication available

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NVA237: a treatment for COPD

  • Chronic Obstructive Pulmonary Disease (COPD) is a

disease of the lungs characterized by airflow limitation which is not fully reversible

  • The investigational drug NVA237 is a dry powder

formulation of the muscarinic receptor antagonist glycopyrronium bromide

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A placebo-controlled study with 6 treatment groups

  • The primary purpose of the study was to provide data

about the efficacy of four doses of NVA237 (12.5, 25, 50 and 100μg o.d.) and open-label tiotropium (18μg) and to identify a dose of NVA237 that could be investigated in Phase III studies

  • The primary endpoint was the evaluation of the

bronchodilatory efficacy of NVA237 in patients with stable COPD in terms of trough forced expiratory volume

  • ver 1 second (FEV1) following 7 days of treatment

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Plot of means with confidence intervals

using data from completed trial

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Clinically meaningful effect 1.2L

  • ver placebo

Plot of observed means plus 95% confidence intervals

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Plot of means with confidence intervals

using data from completed trial

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Clinically meaningful effect 1.2L

  • ver placebo

What shape, i.e., model, describes these data best? Is an Emax model the best fit? Plot of observed means plus 95% confidence intervals

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Is Emax the only realistic shape for the NVA dose response?

  • Although we might prefer to fit an Emax model, this may

not be the only possible dose-response shape

  • In fact at the planning stage of the NVA trial, there was

some uncertainty regarding the shape of the dose- response

  • Five different shapes were considered

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Candidate models specified before trial start

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Candidate models specified before trial start

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How to decide which one fits the trial data best?

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MCP-Mod Methodology

Developed by Statistical Methodologists at Novartis Pharma

Choosing models under uncertainty

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What is MCP-Mod?

Multiple Comparison Procedures – Modelling: Overview (1/2)

  • A method for model-based dose-response testing and

estimation

  • MCP-step
  • Establish a dose-response signal (i.e., that the

dose-response curve is not flat) using multiple comparison procedures

  • Mod-step
  • Estimate the dose-response curve and target doses
  • f interest (ED50, ED90, MED, etc.) using modelling

techniques

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CHMP Qualification Opinion

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NVA Example: Final Model Choice

Output from R DoseFinding package (Bornkamp, et al., 2015) # Es t i m

a t e d Dos e Re s pons e M

  • de l s :

# e m a x m

  • de l

# e 0 e M a x e d50 # 1. 244 0. 169 18. 004 # . . . #

# Se l e c t e d m

  • de l ( AI C) :

Se l e c t e d m

  • de l ( AI C) : e m

a x e m a x

# # Es t i m a t Es t i m a t e d e d TD TD, De l t a =0. 12 # e m a x s i gEm a x qua dr a t i c # 44. 0640

  • 44. 0640 45. 1114 46. 2157

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THE END (of the lecture)

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But not the journey!