68
1 • 68 Pharmacokinetic Analysis of BE Data Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical Applications Leuven, 5–6 June, 2013 Helmut Schütz BEBAC Helmut Schütz BEBAC Wikimedia Wikimedia Commons Commons 2005 2005 Snowdog Snowdog Creative Commons Attribution Creative Commons Attribution - - ShareAlike ShareAlike 3.0 3.0 Unported Unported Pharmacokinetic Analysis of BE Data Pharmacokinetic Pharmacokinetic Analysis of BE Data Analysis of BE Data

Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

Embed Size (px)

Citation preview

Page 1: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

1 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Helmut SchützBEBAC

Helmut SchützBEBAC

Wik

imed

iaW

ikim

edia

Com

mon

s C

omm

ons

•• 200

5 20

05 S

now

dog

Snow

dog

•• Cre

ativ

e C

omm

ons

Attri

butio

nC

reat

ive

Com

mon

s At

tribu

tion --

Shar

eAlik

eSh

areA

like

3.0

3.0

Unp

orte

dU

npor

ted

PharmacokineticAnalysis of BE Data

PharmacokineticPharmacokineticAnalysis of BE DataAnalysis of BE Data

Page 2: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

2 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

To bear in Remembrance...To bear in Remembrance...Whenever a theory appears to youWhenever a theory appears to youas the only possible one, take this asas the only possible one, take this asa sign that you have neither undera sign that you have neither under--stood the theory nor the problemstood the theory nor the problemwhich it was intended to solve.which it was intended to solve. Karl R. PopperKarl R. Popper

Even though it’s Even though it’s appliedapplied sciencesciencewe’re dealin’ with, it still is we’re dealin’ with, it still is –– science!science!

Leslie Z. BenetLeslie Z. Benet

Page 3: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

3 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA NCA vs.vs. PK ModelingPK ModelingPharmacokinetic models

Useful for understanding the drug/formulationStudy design of BA/BE, e.g.,washout, accumulation / saturation to steady state

DrawbacksAlmost impossible to validate (fine-tuning of side conditions, weighting schemes, software, …)Still a mixture of art and scienceImpossible to recalculate any given dataset using different software – sometimes even different versions of the same software!Not acceptable for evaluation of BE studies!

Page 4: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

4 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

PK Modeling: AUCPK Modeling: AUCBased on integration of a PK model;e.g., extravascular dose, one-compartment, no lag-time

( ) ( )

( )00

1 1

el ak t k ta

a el

a

a el el a el

kf DC t e eV k k

kf D f D f DAUC C t dtV k k k k V k CL

−∞

⋅= −

⋅ ⋅ ⋅= = − = = − ⋅

Page 5: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

5 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: Single DoseNCA: Single DoseNoncompartmental methods do not rely on a PK (=compartmental) modelAlso known as SHAM (Shape, Height, Area, Moments)

Metrics (plasma, single dose)Extent of absorption (EU…), total exposure (US):AUC (Area Under the Curve)Rate of absorption (EU…), peak exposure (US): Cmaxtmax (EU…)Early exposure (US, CAN): pAUCtmax; AUC truncated at population’s (CAN: subject’s) tmax of the referenceOthers: Cmin, Fluctuation, MRT, Occupancy time, tlag,…

Page 6: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

6 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: AUCNCA: AUCSince compartmental models not acceptablein BE, numeric approximation required

Linear trapezoidal rule¹Lin-log trapezoidal rule¹,²Lin-up/log-down trapezoidal ruleCubic splinesLagrange-polynomialsSimpson’s rule

¹ Russian GL; only these two acceptable?

² WHO GL; only acceptable method?

Page 7: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

7 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: AUCNCA: AUCLinear trapezoidal rule

Linear interpolation between data pointsSections represented as trapezoidsSides a, b = neighbouring concentrationsTime interval hArea of trapezoidTotal

2a bA h+

=

( ) ( ) ( )1 1

10 1 1 1

1 1

12 2n

i n i ni i

t i i i i i ii i

C CAUC t t C C t t= − = −

+− + + +

= =

+≈ − ≈ + ⋅ −∑ ∑

Page 8: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

8 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: AUCNCA: AUClinear trapezoidal rule

0

20

40

60

80

100

0 2 4 6 8 10 12time (h)

conc

entra

tion

0

20

40

60

80

1000 2 4 6 8 10 12

Page 9: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

9 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: AUCNCA: AUClinear trapezoidal rule:

arithmetic means of concentrations

0

20

40

60

80

100

0 2 4 6 8 10 12time (h)

conc

entra

tion

0

20

40

60

80

1000 2 4 6 8 10 12

Page 10: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

10 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: AUCNCA: AUCLog-linear trapezoidal rule

Assumes exponential eliminationLog-linear interpolation between data pointsOnly valid for iv administration; sections in absorption phase underestimated if applied to evIf C = 0 or subsequent concentrations are equal, section calculated by linear trapezoidalTotal

( )1

10 1

11 lnn

i ni i

t i iii

i

C CAUC t tCC

= −+

− ++=

−≈ −∑

Page 11: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

11 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: AUCNCA: AUCLin-up/log-down trapezoidal rule

Hybrid of linear and log-linearSections with increasing or equal concentrations(Ci+1 ≥ Ci) calculated by linear trapezoidal ruleSections with decreasing concentrations(Ci+1 < Ci) calculated by log-linear trapezoidal ruleAvoids bias in both absorption and distribution/elimination phasesSuitable for iv and evSuitable for multiphasic profiles

Page 12: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

12 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: AUCNCA: AUClin-up/log-down trapezoidal rule

0

20

40

60

80

100

0 2 4 6 8 10 12time (h)

conc

entra

tion

0

20

40

60

80

1000 2 4 6 8 10 12

Page 13: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

13 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: AUCNCA: AUClin-up/log-down trapezoidal rule:

arithmetic ~geometric means of concentrations

0

20

40

60

80

100

0 2 4 6 8 10 12time (h)

conc

entra

tion

0

20

40

60

80

1000 2 4 6 8 10 12

Page 14: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

14 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

AUCi (R) 707.6, AUCi (T) 670.9, T/R 94.8%, bias -0.20%

0

20

40

60

80

100

0 4 8 12 16 20 24time (h)

conc

entra

tion

0

20

40

60

80

1000 4 8 12 16 20 24

ReferenceTest

Example 1Example 1ModelAUCR 697.8AUCT 662.9T/R 95.00%

linear trapezoidalT/R 94.85%

Page 15: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

15 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

AUCi (R) 693.7, AUCi (T) 658.0, T/R 94.9%, bias -0.16%

0

20

40

60

80

100

0 4 8 12 16 20 24time (h)

conc

entra

tion

0

20

40

60

80

1000 4 8 12 16 20 24

ReferenceTest

Example 1Example 1ModelAUCR 697.8AUCT 662.9T/R 95.00%

lin-up/log-downT/R 94.89%

Page 16: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

16 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

AUCi (R) 725.1, AUCi (T) 670.9, T/R 92.5%, bias -2.60%

0

20

40

60

80

100

0 4 8 12 16 20 24time (h)

conc

entra

tion

0

20

40

60

80

1000 4 8 12 16 20 24

ReferenceTest

Example 2Example 2ModelAUCR 697.8AUCT 662.9T/R 95.00%

linear trapezoidal

12 h (R) missingT/R 92.53%

Page 17: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

17 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

AUCi (R) 693.7, AUCi (T) 658.0, T/R 94.9%, bias -0.15%

0

20

40

60

80

100

0 4 8 12 16 20 24time (h)

conc

entra

tion

0

20

40

60

80

1000 4 8 12 16 20 24

ReferenceTest

Example 2Example 2ModelAUCR 697.8AUCT 662.9T/R 95.00%

lin-up/log-down

12 h (R) missingT/R 94.89%

Page 18: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

18 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

linear

time (h)

conc

entra

tion

0 4 8 12 16 20 24

0

20

40

60

80

100

semilogarithmic

time (h)

conc

entra

tion

0 4 8 12 16 20 24

1

2

5

10

20

50

100

Spaghetti & other pastaSpaghetti & other pastalinear trapezoidal

Does thesemi-log plotreflect the calcu-lation of AUC?

Weired?

Overestimates AUC in the distribution/elimination phase…

semilogarithmic

time (h)

conc

entra

tion

0 4 8 12 16 20 24

1

2

5

10

20

50

100

Page 19: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

19 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Spaghetti & other pastaSpaghetti & other pastalin-up/log-down

Does thelinear plotreflect the calcu-lation of AUC?

linear

time (h)

conc

entra

tion

0 4 8 12 16 20 24

0

20

40

60

80

100

semilogarithmic

time (h)

conc

entra

tion

0 4 8 12 16 20 24

1

2

5

10

20

50

100 Maybe we should change the way we draw spaghetti plots…

linear

time

conc

entra

tion

0 4 8 12 16 20 24

0

20

40

60

80

100

Page 20: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

20 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

RecommendationsRecommendationsDon’t exclude a subject if only – a few – data points are missing (loss of power)

Only if linear rule is required for any reason:data imputation

Linear within increasing/equal values (Ci+1 ≥ Ci–1)

Log-linear within decreasing values (Ci+1 < Ci–1)

( )11 1 1

1 1

ˆ i ii i i i

i i

t tC C C Ct t

−− + −

+ −

−= + −

( )11 1 1

1 1ln ln

ˆi i

i i ii i

t tC C Ct t

iC e−

− − ++ −

−+

−=

Page 21: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

21 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

RecommendationsRecommendationsDon’t exclude a subject … (cont’d)

Although I had never problems with this procedure in 500+ BE studies (stated in the protocol, accord-ing to SOP, and by validated software) data imputation may be unfamiliar to assessorsLin-up/log-down trapezoidal not affected by missing values and unbiased estimates are obtained

Page 22: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

22 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: AUC ExtrapolationNCA: AUC ExtrapolationAUC0–∞

Unweighted log-linear regression of ≥3 data points in the elimination phaseExtrapolation from AUC0–t (regardless the method)

or betterˆt

tz

CAUC AUCλ∞ = +

ˆˆ

tt

z

CAUC AUCλ∞ = +

Page 23: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

23 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: AUC ExtrapolationNCA: AUC ExtrapolationSingle dose only!

Method of estimation of λz stated in protocol!One-compartment model: ‘TTT’–method*

(Two times tmax to tz)Maximum adjusted R² (Phoenix/WinNonlin, Kinetica)

Multi-compartment models: starting point = last inflectionMinimum AIC:Visual inspection of fit mandatory!* Scheerans C, Derendorf H, and C Kloft

Proposal for a Standardised Identification of the Mono-Exponential Terminal Phase for Orally Administered DrugsBiopharm Drug Dispos 29, 145–57 (2008)

22 (1 ) ( 1)1

2adjR nRn

− ⋅ −= −

[ ]ln(2 ) 1 ln( ) 2AIC n n RSS n pπ= ⋅ ⋅ + + ⋅ + ⋅

WinNonlin ≤5.3: Cmax includedPhoenix/WNL ≥6.0: Cmax excluded

Page 24: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

24 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: AUC ExtrapolationNCA: AUC ExtrapolationAUC0–∞

EMA (and all countires except US and Russia):No primary PK metric; but demonstrates that AUC0–tis a reliable estimate of extent of absorption(i.e., extrapolated area ≤ 20% of AUC0–∞)

FDA: Primary PK metric (additionally to AUC0–t)What if extrapolated AUC0–t > 20% of AUC0–∞ in some subjects?

EMA: Subjects should not be excluded, but requires discussion if observed in > 20% of casesRussia: Use AUC0–∞ instead of AUC0–t as primary metric of the study

Page 25: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

25 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: AUC ExtrapolationNCA: AUC Extrapolationplasma profile (linear scale)

0

20

40

60

80

100

0 4 8 12 16 20 24time

conc

entra

tion

Page 26: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

26 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: AUC ExtrapolationNCA: AUC Extrapolationplasma profile (semilogarithmic scale)

1

10

100

0 4 8 12 16 20 24time

conc

entra

tion

tC

ˆtC

Page 27: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

27 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: oNCA: otherther PK MetricsPK MetricsSingle dose

Cmax and tmax directly from profileMetrics describing the shape of the profile

Early exposure (US, CAN): AUCtmax = pAUC truncated at population (CAN: subject’s) tmax of the referenceBiphasic MR formulations: pAUCs truncated at a prespeci-fied cut-off time point

FDA: Product specific guidances (methylphenidate, zolpidem)EMA: All productsQuestions & Answers: positions on specific questions addressed to the pharmacokinetics working partyEMA/618604/2008 Rev. 4 (16 February 2012)http://www.ema.europa.eu/docs/en_GB/document_library/Scientific_guideline/2009/09/WC500002963.pdf

Page 28: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

28 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: oNCA: otherther PK MetricsPK MetricsSingle dose

Metrics describing the shape of the profileCmax/AUCt75% (Plateau time: interval where C(t) ≥ 75% of Cmax)*HVD (Half value duration: time interval where C(t) ≥ 50% of Cmax)Occupancy time, t ≥ MIC (time interval where C(t) is above some limiting concentration)

* Russia: mandatory for sustained release formulations

Page 29: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

29 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA: UrineNCA: UrineNoncompartmental methods (cont’d)

Extent of absorption (EU…), total exposure (US):Aet (cumulative amount excreted); rarely extrapolated to t = ∞Rate of absorption, peak exposure (US):∆Aemax, t∆Aemax

EMA: Cmax, tmax from plasma!

Page 30: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

30 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA NCA ((MethodsMethods))Multiple dose

Calculation of AUCτ (dosage interval τ );AUCss,24h if more than o.a.d. and chrono-pharmacological variation)No extrapolation!Css,max and Css,min directly from profilePeak-Trough-Fluctuation: (Css,max – Css,min) / Css,av, where Css,av = AUCτ /τSwing: (Css,max – Css,min) / Css,min

Page 31: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

31 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA NCA ((MethodsMethods))Multiple dose

Assessment whether steady state is reached (ina linear PK system: AUCτ = AUC∞)

No recommendations in GLs (except EU/US Veterinary)Not required according to comments to EMA’s BE-GLMANOVA-model (sometimes in CAN, rarely used)t-test of last two pre-dose concentrationsHotelling’s T²Linear regression of last three pre-dose concentrations, individually for each subject/treatment

Only the last method allows the exclusion of subjects being not in stead state. Other methods give only a yes|no result!

Page 32: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

32 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA NCA ((MethodsMethods))plasma profile (linear scale)

0

50

100

150

200

0 24 48 72 96 120 144time

conc

entra

tion

slope: +0.0459395% CI: [-0.35266 | +0.44452]steady state demonstrated

Cav

Page 33: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

33 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA NCA ((Problems)Problems)Cmin

Defined by EMA as the concentration (Ctrough)at the end of the dosing interval τNot implemented in PK software: Cmin global minimum concentration. Requires adaption.More variable than Cmax (if little accumulation close to LLOQ)EMA requires pre-dose sampling at ≤–5 min and sampling at τ ±10 minCommon in o.a.d. MD studies last sampleat 23:55 in period 1 and at 24:00 in period 2…

Page 34: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

34 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA NCA ((Problems)Problems)Missing last samples may lead to ‘Apples-and-Oranges’ statistics (biased treatment effect)If a reliable estimate of λz is possible (≥3 data points), we can use an estimate

± shift of Cz according to λz*

or independent from measured Cz

* Gabrielsson J and D WeinerPharmacokinetic & Pharmacodynamic Data Analysis: Concepts and ApplicationsSwedish Pharmaceutical Press, Stockholm, p163 (4th ed. 2006)

( )ˆˆ (1)z ztss,min zC C e λ τ− −=

( )( )0 0ˆˆˆ (2)zC t

ss,minC e λ τ− ⋅ +=

Page 35: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

35 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA NCA (Problems)(Problems)Missing values I

Procedure for imputation must be stated in the protocol; recommended:

in the absorption phase (t < tmax) by linear Interpolation of adjacent valuesin the distribution/elimination phase (t ≥ tmax) by log/linear Interpolation of adjacent valuesimputed value must not be used in estimating λz!

Don’t rely on softwares’ defaults!Phoenix/WinNonlin interpolates linear – unless thelin-up/log-down trapezoidal method is usedKinetica interpolates lin/log within descending values

Page 36: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

36 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA NCA (Problems)(Problems)

0

20

40

60

80

100

0 12 24 36 48 60 72time

conc

entra

tion

ReferenceTestLLOQ = 10

0

20

40

60

80

100

0 12 24 36 48 60 72time

conc

entra

tion

ReferenceTestLLOQ = 10

Page 37: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

37 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA NCA (Problems)(Problems)Missing values II

Last value of T missing(e.g., vial broken)

AUCtlast (48) T = 2407AUCtlast (72) R = 2984

T/R = 80.67% biased!Using AUC to t where C≥LLOQfor both formulations (48)AUC48 T = 2534AUC48 R = 2407

T/R = 95% Not available in softwareRegulatory acceptance? NAMissing298412.5072

240723.75253425.0048206333.59217235.3636157747.50166050.0024114759.85120863.001689367.1894070.711268373.2571977.11945379.8647784.07628984.2630488.70420485.6321590.14311983.7312688.1427979.108383.261.54268.554472.151.002659.382762.500.751346.141348.570.50327.14428.570.250BLQ0BLQ0

AUC0-tconcAUC0-tconctimeTestReference

Page 38: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

38 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA NCA (Problems)(Problems)

0

20

40

60

80

100

0 12 24 36 48 60 72time

conc

entra

tion

ReferenceTestLLOQ = 10

C72 set to 0

Page 39: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

39 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA NCA (Problems)(Problems)Missing values II

Last value of T missing(e.g., vial broken)

Setting the first concentrationin the profile where C<LLOQto zero. AUCall, ‘invented’ byPharsightAUCall (72) T = 2692AUCall (72) R = 2984

T/R = 90.22% biased!Available in Phoenix /WinNonlin, KineticaRegulatory acceptance? 2692= *0298412.5072

240723.75253425.0048206333.59217235.3636157747.50166050.0024114759.85120863.001689367.1894070.711268373.2571977.11945379.8647784.07628984.2630488.70420485.6321590.14311983.7312688.1427979.108383.261.54268.554472.151.002659.382762.500.751346.141348.570.50327.14428.570.250BLQ0BLQ0

AUC0-tconcAUC0-tconctimeTestReference

Page 40: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

40 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA NCA (Problems)(Problems)

0

20

40

60

80

100

0 12 24 36 48 60 72time

conc

entra

tion

ReferenceTestLLOQ = 10

C72 estimated from C24–C48

Page 41: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

41 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA NCA (Problems)(Problems)Missing values II

Last value of T missing(e.g., vial broken)

Estimating the missing valuefrom elimination phase.AUC72* T = 2835AUC72 R = 2984T/R = 95%

Not available in softwareRegulatory acceptance ±

*2835*11.88298412.5072240723.75253425.0048206333.59217235.3636157747.50166050.0024114759.85120863.001689367.1894070.711268373.2571977.11945379.8647784.07628984.2630488.70420485.6321590.14311983.7312688.1427979.108383.261.54268.554472.151.002659.382762.500.751346.141348.570.50327.14428.570.250BLQ0BLQ0

AUC0-tconcAUC0-tconctimeTestReference

Page 42: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

42 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA NCA (Problems)(Problems)Missing values II

Values below the lowerlimit of quantitation (LLOQ)

Example as before,but LLOQ = 12.5 (instead 10)AUC72: T = ?, R = 2984

T/R = ?AUC48: T = 2407, R = 2534

T/R = 95% AUCall: T = 2692, R = 2984

T/R = 90.22% biased!AUC72*: T = ?, R = 2984

T/R = ?

NABLQ298412.5072240723.75253425.0048206333.59217235.3636157747.50166050.0024

AUC0-tconcAUC0-tconctimeTestReference

2692= *0298412.5072240723.75253425.0048206333.59217235.3636157747.50166050.0024

AUC0-tconcAUC0-tconctimeTestReference

NA*11.88298412.5072240723.75253425.0048206333.59217235.3636157747.50166050.0024

AUC0-tconcAUC0-tconctimeTestReference

Page 43: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

43 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

NCA NCA (Problems)(Problems)

0

20

40

60

80

100

0 12 24 36 48 60 72time

conc

entra

tion

ReferenceTestLLOQ = 12.5

BQL

0

20

40

60

80

100

0 12 24 36 48 60 72time

conc

entra

tion

ReferenceTestLLOQ = 12.5

0

20

40

60

80

100

0 12 24 36 48 60 72time

conc

entra

tion

ReferenceTestLLOQ = 12.5

What would you do?

Page 44: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

44 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Sampling at Sampling at CCmaxmax

With any [sic] given sampling scheme the ‘true’ Cmax is missed

It is extremely unlikely that we sample exactly at the true Cmax for any given subjectHigh inter- and/or intra-subject variability(single point metric)Variability higher than AUC’sIn many studies the win/loose metric!Try to decrease variability

Increase sample size (more subjects)Increase sampling within each subject (maybe better)

Page 45: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

45 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Sampling at Sampling at CCmaxmax

Theoretical values (from PK simulation)Cmax: 41.9/53.5 (81.2%), tmax: 6.11/4.02 (∆ 2.09)

# samples [2–12h]n = 4

Cmax 78.3%tmax ∆ 4

n = 5Cmax 78.3%tmax ∆ 4

n = 6Cmax 79.8%tmax ∆ 1

n = 7Cmax 81.2%tmax ∆ 2

25

35

45

55

0 3 6 9 12

R theoreticalT theoreticalR sampledT sampled

Page 46: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

46 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Sampling at Sampling at CCmaxmax

Quote from the literature:Cmax was observed within two to five hours after oral administration…

Elimination is drug specific,but what about absorption?

Formulation specific!Dependent on the sampling schedule (in a strict sense study-specific)

Page 47: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

47 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Sampling at Sampling at CCmaxmax

0

10

20

30

40

50

0 4 8 12 16 20 24

arithmetic meangeometric meanmedian

ka = [0.182 | 0.260]

2–5 hrs

Page 48: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

48 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Sampling at Sampling at CCmaxmax

0

10

20

30

40

50

0 4 8 12 16 20 24

arithmetic meangeometric meanmedian

ka = 0.182

tlag = [0 | 2.5]

2–5 hrs

Page 49: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

49 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Another ProblemAnother ProblemEMA GL on BE (2010)

Section 4.1.8 Reasons for exclusion 1)A subject with lack of any measurable concentrations or only very low plasma concentrations for reference medicinal product. A subject is considered to have very low plasma concentrations if its AUC is less than 5% of reference medicinal product geometric mean AUC (which should be calculated without inclusion of data from the outlying subject). The exclusion of data […] will only be accepted in exceptional cases and may question the validity of the trial.

Remark: Only possible after unblinding!

Page 50: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

50 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Another ProblemAnother ProblemEMA GL on BE (2010)

Section 4.1.8 Resons for exclusion 1) cont’dThe above can, for immediate release formulations, be the result of subject non-compliance […] and should as far as possible be avoided by mouth check of subjects after intake of study medication to ensure the subjects have swallowed the study medication […]. The samples from subjects excluded from the statistical analysis should still be assayed and the results listed.

Page 51: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

51 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Another ProblemAnother ProblemGastro-resistant (enteric coated) preparations

Gastric emptying of single unit dosage forms non-disintegrating in the stomach is prolonged and highly erratic. The consequences of this effect on the enteric coating of delayed release formulations are largely unpredictable.

Sampling period should be designed such that measurable concentrations are obtained, taking into consideration not only the half-life of the drug but the possible occurrence of this effect as well. This should reduce the risk of obtaining incomplete concentration-time profiles due to delay to the most possible extent. These effects are highly dependent on individual behaviour.

Page 52: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

52 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Another ProblemAnother ProblemGastro-resistant (enteric coated) preparations

Therefore, but only under the conditions that sampling times are designed to identify very delayed absorption and that the incidence of this outlier behaviour is observed with a comparable frequency in both, test and reference pro-ducts, these incomplete profiles can be excluded from statistical analysis provided that it has been considered in the study protocol.EMEA, CHMP (EWP-PK)Questions & Answers: positions on specific questions addressed to the pharmacokinetics working party EMA/618604/2008 Rev. 4 (16 February 2012)http://www.ema.europa.eu/docs/en_GB/document_library/Scientific_guideline/2009/09/WC500002963.pdf

What is ‘comparable’? For a study in 24 subjects, we get a significant difference for 5/0 (Fisher’s exact test: p 0.0496).

Page 53: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

53 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

ttlaglag –– a ‘nasty’ PK Metrica ‘nasty’ PK MetricOnly relevant for delayed release (gastric resistant) formulationsHighly variable – mainly not due to the formu-lation but the intrinsic variability in gastric emptyingLess variability for multiparticulate formulations than for monolithic ones, but still problematicSampling schedule difficult to designAssessment (descriptive vs. nonparametric)?

Page 54: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

54 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

ttlaglag –– a ‘nasty’ PK Metrica ‘nasty’ PK MetricLittle is published about calculation; five methods assessed*

Commercial software (Phoenix/WinNonlin, Kinetica) treat tlag as the time point prior to the first measurable (non-zero) concentrationOther methods require programming skills; some of them might be judged by assessors already borderline PK models (?!)* Csizmadia F and L Endrenyi

Model-Independent Estimation of Lag Times with First-Order Absorption and DispositionJ Pharmaceut Sci 87(5), 608–12 (1998)

Page 55: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

55 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

ttlaglag –– a ‘nasty’ PK Metrica ‘nasty’ PK MetricIs tlag really clinically relevant – even for formulations where rapid onset of effects is of importance?If two formulations follow identical pharmaco-kinetics except tlag, this difference is reflected in tmax as well (both in SD and MD)

Page 56: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

56 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

ttlaglag vs.vs. ttmaxmax

Single doseDR, flip flop PK; V 10, D 100, F 100%,k 0.09902 h-1

tlag 1 h (R), 4 h (T) tmax 11.1 h (R),

14.1 h (T)Cmax3.68 (R&T)Cτ 2.335 (R),

2.733 (T)AUC0–τ 67.0 (R)

59.4 (T)AUC0–∞ 101.0 (R&T)

0

1

2

3

4

conc

entr

ati o

n

0 24 48 72

time

R T

τ τ τ

Page 57: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

57 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

ttlaglag vs.vs. ttmaxmax

Simulation of steady state (τ 24 h; 6 d ≈ 20×t½)Formulations differ in tlag only!

tlag is discrimi-natory:T 4R 1T – R +3Might be difficult to measure; frequent sam-pling requiredNonparametric statistics (EMA!)

τ

Tlag

(R)

Tlag

(T)

0

1

2

3

4

5

6

conc

entr

atio

n

120 124 128 132 136 140 144

time

R T

Page 58: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

58 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

ttlaglag vs.vs. ttmaxmax

Simulation of steady state (τ 24 h; 6 d ≈ 20×t½)Formulations differ in tlag only! Surrogate possible?

tmax is discrimi-natory as well:T 14.1R 11.1T – R +3Maybe better; frequent sam-pling in the area of Cmax commonNonparametric statistics (EMA!)

τ

Tmax

(R)

Tmax

(T)

0

1

2

3

4

5

6

conc

entr

atio

n

120 124 128 132 136 140 144

time

R T

Page 59: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

59 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

0 4 8 12 16 20 245

25

50

250

500

1500

time (h)

First time Cmax

t½ 12 h

tmax 15 h, Cmax 3.5×LLOQ tlag 6 h

Case Study (PPI 1)Case Study (PPI 1)Attempt to deal with high variabilityPowered to 90%according to CVfrom previousstudies; 140 (!)subjects and to80% for expect-ed dropout rate.Sampling every30 min up to14 hours(7,785 total)

Page 60: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

60 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Case Study (PPI 2)Case Study (PPI 2)

0

1000

2000

3000

4000

5000

6000

conc

entr

atio

n(µ

g/m

L)

0 3 6 9 12 15

nominal time (h)

Reference

Submission in ChinaAUCt 87.60, 95.53%Cmax 75.39, 91.84%tmax +0.500, +1.333

significantly delayed(CI does not contain zero)

Company’s defendingargument:highly variableGI-transit manifestedin tlag

Let’s see… 0

1000

2000

3000

4000

5000

6000

conc

entr

atio

n(µ

g/m

L)

0 3 6 9 12 15

nominal time (h)

Test

Page 61: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

61 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Case Study (PPI 2)Case Study (PPI 2)

Reference

0

0.1

0.2

0.3

0.4

0.5

Fre

que

ncy

0 2 4

0.1

0.2

0.3

0.4

0.5

Test

0 2 4

Tlag (h)

Analysistlag ±0.000, +0.667

not different (but borderline)

0

1

2

3

4

5

Tlag

(h)

Reference Test

0

1

2

3

4

5

Tlag

(h)

Reference Test

Tlag (h)

Page 62: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

62 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Case Study (PPI 2)Case Study (PPI 2)

0

0.2

0.4

0.6

0.8

Fre

qu

en

cy

0 2 4

0 2 4

Tmax – Tlag (h)

0.2

0.4

0.6

0.8

Reference

Test

Analysistmax–tlag +0.167, +0.667

significantly delayed(0 not within CI)

0

1

2

3

4

Tmax

–Tl

ag(h

)

Reference Test

0

1

2

3

4

Tmax

–Tl

a g(h

)

Reference Test

Page 63: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

63 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Case Study (PPI 2)Case Study (PPI 2)

15

0

1000

2000

3000

4000

5000

6000

conc

entrat

ion

(µg/

mL)

0 3 6 9 12 15

shifted time (h)

Reference

0

1000

2000

3000

4000

5000

6000

conc

entr

atio

n(µ

g/m

L)

0 3 6 9 12

shifted time (h)

Test

AssessmentAlthough there was no sig-nificant difference in tlag,the ‘corrected’ tmax–tlagwas significantly delayedVariability of the testformulation was higherIt seems that the com-pany’s assumption doesnot hold – formulationsdifferClinical relevance?

Page 64: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

64 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Half livesHalf livesDrug specific, but…

The apparent elimination represents the slowestrate constant (controlled release, topicals,transdermals) – not necessarily elimination!Avoid the term ‘terminal elimination’ –might not be trueImportant in designing studies

To meet AUCt ≥ 80% AUC∞ criterionTo plan sufficiently long wash-out (avoid carry–over)To plan saturation phase for steady state

Page 65: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

65 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Half livesHalf livesDealing with literature data

What if only mean ±SD is given?Assuming normal distribution:µ ± σ covers 68.27% of values (15.87% of values are expected to lie outside of µ ± σ)Example: 8.5 ± 2.4 hours, 36 subjects.0.1587 × 36 = 5.71 or in at least five subjects we may expect a half life of > 10.9 hours.Plan for 95% coverage (z0.95 = 1.96): p0.95 = µ ± z0.95 × σ8.5 ± 1.96 × 2.4 = [3.80, 13.2] hours.We may expect a half life of >13.2 hours in ~one subject (0.05/2 × 36 = 0.90).

Page 66: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

66 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Half livesHalf lives

0

25

50

75

0 12 24 36 48

µ − 1.96σµ − σµµ + σµ + 1.96σ

1

10

100

0 12 24 36 48

µ − 1.96σµ − σµµ + σµ + 1.96σ

Page 67: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

67 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

Thank You!Thank You!PharmacokineticPharmacokinetic

Analysis of BE DataAnalysis of BE DataOpen Questions?Open Questions?

Helmut SchützBEBAC

Consultancy Services forBioequivalence and Bioavailability Studies

1070 Vienna, [email protected]

Page 68: Pharmacokinetic Analysis of BE Data - BEBACbebac.at/lectures/Leuven2013WS1.pdf · 3• 68 Pharmacokinetic Analysis of BE Data Bioequivalence Assessment of Oral Dosage Forms: Basic

68 • 68

Pharmacokinetic Analysis of BE DataPharmacokinetic Analysis of BE Data

Bioequivalence Assessment of Oral Dosage Forms: Basic Concepts and Practical ApplicationsLeuven, 5–6 June, 2013

To bear in Remembrance...To bear in Remembrance...The fundamental cause of trouble in the world todayThe fundamental cause of trouble in the world today isisthat the stupid are cocksurethat the stupid are cocksurewhile the intelligent are full of doubtwhile the intelligent are full of doubt. Bertrand RussellBertrand Russell

It is a good morning exercise for a researchIt is a good morning exercise for a research scientistscientistto discard a pet hypothesis every day beforeto discard a pet hypothesis every day beforebreakfast.breakfast.It keeps him young.It keeps him young. Konrad LorenzKonrad Lorenz

If you shut your door to all errorsIf you shut your door to all errorstruth will be shut out.truth will be shut out.

Rabindranath Rabindranath TagoreTagore