preliminary pharmacokinetic/pharmacodynamic (pk/pd ... tanezumab... · • tanezumab is a humanized...

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BACKGROUND Tanezumab is a humanized monoclonal IgG 2 antibody that binds to human nerve growth factor (NGF) with high affinity and specificity. Tanezumab is currently in development for the treatment of osteoarthritis, chronic low back pain, and other chronic pain conditions. OBJECTIVE To characterize the exposure response (overall daily pain score [DPS]) relationship vs. time for tanezumab. METHODS Study Design Four hundred and forty-four osteoarthritis (OA) patients were treated in one of the following dose groups: placebo or 10, 25, 50, 100, or 200 μg/kg tanezumab administered as a 10-minute intravenous (IV) infusion on 2 occasions, 55 days apart (Day 1 and Day 56). Blood samples for the determination of tanezumab plasma concentrations were collected before and 1 and 2 hours after both doses of tanezumab (Days 1 and 56) as well as on Days 14, 28, 70, 84, 112, 136, and 182. DPS was recorded every evening on a visual analog scale (VAS) describing average pain over the past 24 hours from 0 (no pain) to 100 (high pain). Modeling Strategy During the pharmacokinetic (PK)/pharmacodynamic (PD) model building, the individual PK parameter estimates were fixed. The PK/PD model used to describe the mean DPS profile over time was developed in stages—(1) the placebo model and (2) the base PK/PD model. The naïve pooled approach was employed. A Visual Predictive Check (VPC) was performed for the final PK/PD model to qualify the model with respect to the prediction of the mean DPS response. The original study was simulated 500 times. The fixed effect PD parameter estimates and associated uncertainty (covariance matrix of estimate) from the final model were used for the simulations. The PK/PD model developed for the average weekly pain score (WPS) using DPS data was then used for simulations to explore dose strategy and dose regimen. The PD model used was an indirect response model based on the assumption that tanezumab inhibits production of a pain stimulus, for example, that produced by NGF as measured by DPS. The PK/PD models are represented in Figure 1. REFERENCES 1. Arends R, Lalovich B, Marshall S, et al. Population PK modeling to support the use of a fixed dosing regimen in phase 3 for tanezumab, an anti-NGF humanized antibody. AAPS NBC, 2009. ACKNOWLEDGEMENTS We would like to thank Barry Weatherley for his valuable contributions to the modeling work. DISCLOSURE This study was supported by Pfizer Inc. Editorial support for the production of this poster was provided by Dr Aideen Young of UBC Scientific Solutions and funded by Pfizer Inc. Poster presented at the 2009 annual meeting of the Population Approach Group in Europe (PAGE); June 23–26, 2009; St Petersburg, Russia The PK/PD model assumed that the placebo and drug effects were proportional to baseline DPS: DPS = BASE •(1-fp)•fd where fp is placebo effect as a function of time; fd is drug effect as a function of tanezumab concentration; and BASE is baseline DPS. The transient dose-related attenuation of DPS that was observed approximately 14 days following the first dose of tanezumab (Figure 2) was described by a modified gamma distribution function as follows: where ED 50 is the dose required to reach half of maximal inhibition; K off is the 1st order rate constant determining the shape of attenuation; I max is maximal inhibiting effect; t is time; T max is time to reach maximal attenuation; and scale is the scaling factor accounting for the proportional reduction of I max . It was assumed that the reduction of I max is related to dose as described by a maximum effect (E max ) model. ) I max = I max •(1scale• Dose + ED 50 Dose T max K off T maxe K off T max t K off T maxe K off t The plots of VPC indicate that the observed mean DPS (with 90% confidence intervals [CI]) were well predicted by the model (Figure 4). The predicted mean change from baseline in WPS dose response, showing the largest and smallest effects for dosing intervals of 6, 8, and 12 weeks, demonstrates that efficacy is maintained across an 8-week dosing interval (Figure 5). DISCUSSION The model used here was limited by the assumption that each DPS observation was independent, which was not the case. The model can be improved by: Incorporating an auto-correlation. Investigating the random effects model and improving the skewness of inter-individual variability. Incorporating a mechanistic component of the biology of NGF to describe the observed attenuation of DPS. Extending work to other clinical pain states. RESULTS The PK of tanezumab was well described by a 2-compartment model. Body weight was found to be a significant predictor of clearance and volume but only explained 4% of the overall 47% unexplained inter-subject variability. 1 Placebo effect was well described by an exponential time-dependent model. The onset of placebo effect was relatively fast with an equilibrium half-life of 7.7 days after the first dose. The maximum placebo effect was estimated to be 25.2% of the baseline value. An indirect response model was found to best characterize the relationship between tanezumab concentration and response (Figure 3), and the observed attenuation of DPS was captured by this model. The drug effect was characterized by an inhibitory E max model, which was expressed in terms of I max , and the tanezumab concentration required to achieve half of I max (IC 50 ). I max and IC 50 were estimated to be 0.538 and 69.3 ng/ml, respectively. The major PD parameter estimates are presented in Table 1. CONCLUSIONS The DPS data were adequately described by the proposed semi- mechanistic PK/PD model. Subsequent simulations using the PK/PD model support the use of an 8-week dosing regimen with fixed doses of 2.5, 5, and 10 mg tanezumab in Phase 3 studies in OA patients. Central compartment (CP) Peripheral compartment IV input CL PK PD CP-ve Δ Pain Stimulus (S) K in K out ) I max •C p 1 ( K in IC 50 + C p FIGURE 1: Schematic of a 2-compartment PK model and indirect response PD model Mean overall change from baseline DPS Day Dose 1 (Day 1) Dose 2 (Day 56) 0 0 -10 -20 -30 -40 -50 -60 20 40 60 80 100 120 DAY14 Tanezumab 200 μg/kg Tanezumab 100 μg/kg Tanezumab 50 μg/kg Tanezumab 25 μg/kg Tanezumab 10 μg/kg Placebo FIGURE 2: Mean overall change from baseline in DPS over time by treatment group Mean overall DPS Mean overall DPS Mean overall DPS Mean overall DPS Mean overall DPS Mean overall DPS Placebo Tanezumab 10 μg/kg Tanezumab 25 μg/kg Tanezumab 200 μg/kg Tanezumab 100 μg/kg Tanezumab 50 μg/kg Day 0 20 40 60 80 100120 Day 0 20 40 60 80 100120 Day 0 20 40 60 80 100120 Day 0 20 40 60 80 100120 Day 0 20 40 60 80 100120 Day 0 20 40 60 80 100120 100 80 60 40 20 0 100 80 60 40 20 0 100 80 60 40 20 0 100 80 60 40 20 0 100 80 60 40 20 0 100 80 60 40 20 0 FIGURE 3: Mean predicted (red line) and observed (black dots) DPS by day for each treatment group DAY Mean overall DPS 0 20 40 60 80 100 120 0 20 40 60 80 Placebo Day Mean overall DPS 0 20 40 60 80 100 120 0 0 20 40 60 80 Tanezumab 10 μg/kg Day Mean overall DPS 0 20 40 60 80 100 120 20 40 60 80 Tanezumab 25 μg/kg Day Mean overall DPS 0 20 40 60 80 100 120 0 20 40 60 80 Tanezumab 50 μg/kg Day Mean overall DPS 0 20 40 60 80 100 120 0 20 40 60 80 Tanezumab 100 μg/kg Observed mean Observed 90% CI Simulated mean Simulated 90% PI Day Mean overall DPS 0 20 40 60 80 100 120 0 20 40 60 80 Tanezumab 200 μg/kg FIGURE 4: Visual predictive check of mean DPS from the final model (n = 500); observed mean (blue line) with 90% confidence intervals (CI) (orange lines) and simulated mean (black line) with 90% predicted intervals (PI) (green band) WPS change from baseline WPS change from baseline 6-week dosing interval -1 -2 -3 -4 -5 -1 -2 -3 -4 -5 Dose (mg) 0 5 10 15 20 Dose (mg) 0 5 10 15 20 Dose (mg) 0 5 10 15 20 -1 -2 -3 -4 -5 8-week dosing interval WPS change from baseline 12-week dosing interval Largest mean 90% PI largest mean Smallest mean 90% PI smallest mean FIGURE 5: Predicted mean change from baseline in WPS dose response (n = 1000) showing the largest (peak) and smallest (trough) effects during the 4 th dose interval for 6, 8, and 12-weekly administration of tanezumab Preliminary Pharmacokinetic/Pharmacodynamic (PK/PD) Analysis for the Effect of Tanezumab on Overall Daily Pain Score Data in Adults with Moderate-to-Severe Pain due to Osteoarthritis of the Knee Rujia Xie, 1 Rosalin Arends, 2 Stephen Olson, 2 Scott Marshall 1 1 Pfizer, Sandwich, UK; 2 Pfizer, New London, CT, USA Parameter Parameter estimates (RSE%) BASE 70.5 (0.8) P max 0.252 (16.1) K f (day -1 ) 0.103 (23) I max 0.538 (9.4) IC 50 (ng/ml) 69.3 (48.5) K out (day -1 ) 0.366 (16.2) T max (day) 11.6 (4.3) K off (day -1 ) 0.712 (29.4) ED 50 (μg/kg) 11.8 (77.2) Scale 0.729 (17.1) Residual 24.6 (2.0) BASE, baseline DPS; ED 50 , the dose required to reach half of maximal inhibition; IC 50 , tanezumab concentration required to achieve half of I max ; I max , maximal inhibiting effect; K f , 1 st order rate constant; K off , rate constant of maximal attenuation; K out , 1 st order elimination rate constant; P max , maximum placebo effect; scale, the scaling factor accounting for the proportional reduction of I max ; T max , time to reach maximal attenuation TABLE 1: PD parameter estimates (with relative standard error [RSE]%) C P , tanezumab plasma concentration; IC 50 , tanezumab concentration required to achieve half of I max ; I max , maximal inhibiting effect; K in , zero-order rate constant for the production of response; K out , 1 st order elimination rate constant

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BACKGROUND

• Tanezumab is a humanized monoclonal IgG2 antibody that binds to humannerve growth factor (NGF) with high affinity and specificity.

• Tanezumab is currently in development for the treatment of osteoarthritis,chronic low back pain, and other chronic pain conditions.

OBJECTIVE• To characterize the exposure response (overall daily pain score [DPS])

relationship vs. time for tanezumab.

METHODS

Study Design• Four hundred and forty-four osteoarthritis (OA) patients were treated in

one of the following dose groups: placebo or 10, 25, 50, 100, or 200 μg/kg tanezumab administered as a 10-minute intravenous (IV)infusion on 2 occasions, 55 days apart (Day 1 and Day 56).

• Blood samples for the determination of tanezumab plasma concentrationswere collected before and 1 and 2 hours after both doses of tanezumab(Days 1 and 56) as well as on Days 14, 28, 70, 84, 112, 136, and 182.

• DPS was recorded every evening on a visual analog scale (VAS) describingaverage pain over the past 24 hours from 0 (no pain) to 100 (high pain).

Modeling Strategy• During the pharmacokinetic (PK)/pharmacodynamic (PD) model building,

the individual PK parameter estimates were fixed.

• The PK/PD model used to describe the mean DPS profile over time wasdeveloped in stages—(1) the placebo model and (2) the base PK/PDmodel. The naïve pooled approach was employed.

• A Visual Predictive Check (VPC) was performed for the final PK/PD modelto qualify the model with respect to the prediction of the mean DPSresponse. The original study was simulated 500 times.

• The fixed effect PD parameter estimates and associated uncertainty(covariance matrix of estimate) from the final model were used for thesimulations. The PK/PD model developed for the average weekly painscore (WPS) using DPS data was then used for simulations to explore dosestrategy and dose regimen.

• The PD model used was an indirect response model based on theassumption that tanezumab inhibits production of a pain stimulus, forexample, that produced by NGF as measured by DPS. The PK/PD modelsare represented in Figure 1.

REFERENCES 1. Arends R, Lalovich B, Marshall S, et al. Population PK modeling to support theuse of a fixed dosing regimen in phase 3 for tanezumab, an anti-NGF humanizedantibody. AAPS NBC, 2009.

ACKNOWLEDGEMENTS We would like to thank Barry Weatherley for his valuable contributionsto the modeling work.

DISCLOSURE This study was supported by Pfizer Inc. Editorial support for the production of thisposter was provided by Dr Aideen Young of UBC Scientific Solutions and funded by Pfizer Inc.

Poster presented at the 2009 annual meeting of the Population Approach Group in Europe (PAGE); June 23–26, 2009; St Petersburg, Russia

• The PK/PD model assumed that the placebo and drug effects wereproportional to baseline DPS:

DPS = BASE •(1-fp)•fd

where fp is placebo effect as a function of time; fd is drug effect as afunction of tanezumab concentration; and BASE is baseline DPS.

• The transient dose-related attenuation of DPS that was observedapproximately 14 days following the first dose of tanezumab (Figure 2)was described by a modified gamma distribution function as follows:

where ED50 is the dose required to reach half of maximal inhibition; Koff isthe 1st order rate constant determining the shape of attenuation; Imax ismaximal inhibiting effect; t is time; Tmax is time to reach maximalattenuation; and scale is the scaling factor accounting for the proportionalreduction of Imax.

• It was assumed that the reduction of Imax is related to dose as described bya maximum effect (Emax) model.

)•Imax = Imax•(1−scale•Dose + ED50

Dose

TmaxK

off•T

max•e−Koff

•Tmax

t Koff

•Tmax•e−K

off•t

• The plots of VPC indicate that the observed mean DPS (with 90%

confidence intervals [CI]) were well predicted by the model (Figure 4).

• The predicted mean change from baseline in WPS dose response, showing

the largest and smallest effects for dosing intervals of 6, 8, and 12 weeks,

demonstrates that efficacy is maintained across an 8-week dosing interval

(Figure 5).

DISCUSSION• The model used here was limited by the assumption that each DPS

observation was independent, which was not the case. The model can beimproved by:– Incorporating an auto-correlation. – Investigating the random effects model and improving the skewness of

inter-individual variability.– Incorporating a mechanistic component of the biology of NGF to

describe the observed attenuation of DPS.– Extending work to other clinical pain states.

RESULTS• The PK of tanezumab was well described by a 2-compartment model.

• Body weight was found to be a significant predictor of clearance and

volume but only explained 4% of the overall 47% unexplained inter-subject

variability.1

• Placebo effect was well described by an exponential time-dependent

model. The onset of placebo effect was relatively fast with an equilibrium

half-life of 7.7 days after the first dose. The maximum placebo effect was

estimated to be 25.2% of the baseline value.

• An indirect response model was found to best characterize the relationship

between tanezumab concentration and response (Figure 3), and the

observed attenuation of DPS was captured by this model.

• The drug effect was characterized by an inhibitory Emax model, which was

expressed in terms of Imax, and the tanezumab concentration required to

achieve half of Imax (IC50). Imax and IC50 were estimated to be 0.538 and

69.3 ng/ml, respectively. The major PD parameter estimates are presented

in Table 1.

CONCLUSIONS

• The DPS data were adequately described by the proposed semi-mechanistic PK/PD model.

• Subsequent simulations using the PK/PD model support the use ofan 8-week dosing regimen with fixed doses of 2.5, 5, and 10 mgtanezumab in Phase 3 studies in OA patients.

Central compartment (CP) Peripheral compartment

IV input

CL

PK

PD

CP-ve

Δ Pain Stimulus (S)Kin

Kout

)Imax•Cp

1(Kin•IC50 + Cp

FIGURE 1: Schematic of a 2-compartment PK model and indirect response PD model

Me

an

ove

rall

ch

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fro

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Day

Dose 1

(Day 1)

Dose 2

(Day 56)

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0

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-30

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20 40 60 80 100 120

DAY14

Tanezumab 200 μg/kgTanezumab 100 μg/kg Tanezumab 50 μg/kgTanezumab 25 μg/kgTanezumab 10 μg/kgPlacebo

FIGURE 2: Mean overall change from baseline in DPS over time by treatment group

Me

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rall

DP

S

Me

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DP

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Me

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Me

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DP

S

Me

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Placebo Tanezumab 10 μg/kg Tanezumab 25 μg/kg

Tanezumab 200 μg/kgTanezumab 100 μg/kgTanezumab 50 μg/kg

Day0 20 40 60 80 100120

Day0 20 40 60 80 100120

Day0 20 40 60 80 100120

Day0 20 40 60 80 100120

Day0 20 40 60 80 100120

Day0 20 40 60 80 100120

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FIGURE 3: Mean predicted (red line) and observed (black dots) DPS by day for each treatment group

DAY

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l DPS

0 20 40 60 80 100 120

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Placebo

Day

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0 20 40 60 80 100 120

0 0

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Tanezumab 10 μg/kg

Day

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0 20 40 60 80 100 120

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0 20 40 60 80 100 120

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Day

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0 20 40 60 80 100 120

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Tanezumab 100 μg/kg

Observed meanObserved 90% CISimulated meanSimulated 90% PI

Day

Mea

n ov

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l DPS

0 20 40 60 80 100 120

0

20

40

60

80

Tanezumab 200 μg/kg

FIGURE 4: Visual predictive check of mean DPS from the final model (n = 500);observed mean (blue line) with 90% confidence intervals (CI) (orange lines) and

simulated mean (black line) with 90% predicted intervals (PI) (green band)

WP

S c

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e fro

m b

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line

WP

S c

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m b

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6-week dosing interval

-1

-2

-3

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Dose (mg)0 5 10 15 20

Dose (mg)0 5 10 15 20

Dose (mg)0 5 10 15 20

-1

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8-week dosing interval

WP

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m b

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12-week dosing interval

Largest mean

90% PI largest mean

Smallest mean

90% PI smallest mean

FIGURE 5: Predicted mean change from baseline in WPS dose response (n = 1000)showing the largest (peak) and smallest (trough) effects during the 4th dose interval for

6, 8, and 12-weekly administration of tanezumab

Preliminary Pharmacokinetic/Pharmacodynamic (PK/PD)Analysis for the Effect of Tanezumab on Overall Daily PainScore Data in Adults with Moderate-to-Severe Pain due toOsteoarthritis of the KneeRujia Xie,1 Rosalin Arends,2 Stephen Olson,2 Scott Marshall1

1Pfizer, Sandwich, UK; 2Pfizer, New London, CT, USA

Parameter Parameter estimates (RSE%)

BASE 70.5 (0.8)

Pmax 0.252 (16.1)

Kf (day-1) 0.103 (23)

Imax 0.538 (9.4)

IC50 (ng/ml) 69.3 (48.5)

Kout (day-1) 0.366 (16.2)

Tmax (day) 11.6 (4.3)

Koff (day-1) 0.712 (29.4)

ED50 (μg/kg) 11.8 (77.2)

Scale 0.729 (17.1)

Residual 24.6 (2.0)

BASE, baseline DPS; ED50, the dose required to reach half of maximal inhibition; IC50, tanezumab concentrationrequired to achieve half of Imax; Imax, maximal inhibiting effect; Kf, 1

st order rate constant; Koff, rate constant of maximalattenuation; Kout, 1

st order elimination rate constant; Pmax, maximum placebo effect; scale, the scaling factoraccounting for the proportional reduction of Imax; Tmax, time to reach maximal attenuation

TABLE 1: PD parameter estimates (with relative standard error [RSE]%)

CP, tanezumab plasma concentration; IC50, tanezumab concentration required to achieve half of Imax; Imax, maximalinhibiting effect; Kin, zero-order rate constant for the production of response; Kout, 1

st order elimination rate constant