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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of pharmacokinetics and pharmacodynamics 18 (1990), S. 459-481 
    ISSN: 1573-8744
    Keywords: heptabarbital ; pharmacokinetic-pharmacodynamic modeling ; electroencephalogram ; aperiodic analysis ; biphasic responses
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The concentration EEG effect relationship of heptabarbital was modeled using effect parameters derived from aperiodic EEG analysis. Male Wistar rats (n=10) received an intravenous infusion of heptabarbital at a rate of 6–9 mg/kg per min until burst suppression with isoelectric periods of 5 sec or longer. Arterial blood samples were obtained and EEG was measured continuously until recovery of baseline EEG and subjected to aperiodic analysis for quantification. Two EEG parameters, the amplitudes per second (AMP) and the total number of waves per second (TNW), in five discrete frequency ranges and for two EEG leads were used as descriptors of the drug effect on the brain. The EEG parameters responded both qualitatively and quantitatively different to increasing concentrations of heptabarbital. Monophasic concentration effect curves (decrease) were found for the frequency ranges 〉2.5 Hz and successfully quantified with a sigmoidal Emax model after collapsing the hysteresis by a nonparametric modeling approach. For the parameter TNW in the 2.5–30 Hz frequency range the value of the pharmacodynamic parameters EC50, E max , and n (¯x± SD) were 78±7 mg/L, 11.4±1.7 waves/sec and 5.0±1.5, respectively. For other discrete frequency ranges, differences in EC50 were observed, indicating differences in sensitivity to the effect of heptabarbital. In the 0.5±2.5 Hz frequency range biphasic concentration effect relationships (increase followed by decrease) were observed. To fully account for the hysteresis in these concentration effect relationships, postulation of two effect compartments was necessary. To characterize these biphasic effect curves two different pharmacodynamic models were evaluated. Model 1 characterized the biphasic concentration effect relationship as the summation of two sigmoidal Emax models, whereas Model 2 assumed the biphasic effect to be the result of only one inhibitory mechanism of action. With Model 1 however realistic parameter estimation was difficult because the maximal increase could not be measured, resulting in high correlations between parameter estimates. This seriously limits the value of Model 1. Model 2 involves besides estimation of the classical pharmacodynamic parameters E max , EC50, and n also estimation of the maximal disinhibition Amax. This model is a new approach to characterize biphasic drug effects and allows, in principle, reliable estimation of all relevant pharmacodynamic parameters.
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of pharmacokinetics and pharmacodynamics 19 (1991), S. 485-496 
    ISSN: 1573-8744
    Keywords: midazolam ; pharmacokinetic-pharmacodynamic modeling ; EEG ; population pharmacokinetics ; NONMEM
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The concentration-EEG effect relationship of midazolam in the rat was studied from a population perspective. Plasma concentration and EEG effect data from 27 rats were available for analysis. Effect parameters derived from aperiodic EEG analysis were used as effect parameters. The population analysis gave results that were similar to the sample theory estimates (¯xs and SDs) obtained from the fits to individual data sets. Reanalysis of the EEG data using mean population pharmacokinetic parameters as input to the pharmacodynamic model led to poorer estimation of the pharmacodynamic parameters: particularly EC50.Inclusion of one observed plasma concentration per individual significantly improved the estimation of the pharmacodynamic parameters and led to results that were virtually indistinguishable from those obtained using complete pharmacokinetic data.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of pharmacokinetics and pharmacodynamics 19 (1991), S. 617-634 
    ISSN: 1573-8744
    Keywords: pharmacokinetics ; pharmacodynamics ; system approaches ; electroencephalogram ; amobarbital ; effect site equilibration
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The time delay between drug plasma concentrations and effect has been modeled most commonly by the effect compartment approach, assuming first-order monoexponential equilibrium kinetics between plasma and effect site. So far this assumption has not been rigorously probed. The purpose of the present investigation was to model the delay between amobarbital plasma concentrations and EEG effect using a new approach based on system analysis principles. This approach models the equilibrium between plasma and effect site without assuming a specific kinetic structure. Assuming linear distribution kinetics between plasma and effect site, the relationship between the two variables may be described by a convolution type of linear operation, involving a conductance function ϕ(t),which is approximated by a sum of exponentials. Six male Wistarderived rats received an iv infusion of amobarbital at a rate of 10mg/kg per min until isoelectric periods of 5sec or longer appeared on the EEG. Frequent arterial blood samples were obtained and EEG was continuously quantified using aperiodic analysis. The amplitudes in the 2.5–30Hz frequency band were used as EEG effect measure. The delay between plasma concentrations and EEG effect was best modeled by a biexponential conductance function. The use of a biexponential conductance function resulted in a significant further reduction (41 ± 10%)in hysteresis when compared to a monoexponential function, indicating that the assumption of simple first-order monoexponential equilibration kinetics is inadequate. The use of a biexponential conductance function also resulted in a significantly different shape of the effect site concenration- EEG effect relationship and hence the estimated pharmacodynamic parameters, when compared with a monoexponential function. This relationship showed a biphasic behavior, with EEG effects being maximal at amobarbital concentrations of 29.6± 1.3mg/L. At 80.2±2.0mg/L the EEG effect was reduced 50%below baseline values. A comparison was made with the equilibration between amobarbital plasma and cerebrospinal fluid (CSF) concentrations. Six male Wistarderived rats received an iv infusion of amobarbital, 10mg per min for 15min. Arterial blood and CSF samples were taken simultaneously at regular intervals. The equilibration between plasma and CSF concentrations was best fitted by a monoexponential conductance function. Significant differences in equilibration profiles of CSF and effect site with the plasma site were observed. To reach 50%equilibrium the effect site requires 2.5±0.3min and the CSF 3.5±0.2min, to reach 95%the values were, respectively, 90± 27and 15± 1min. This suggests that CSF is kinetically distinguishable from the effect site.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of pharmacokinetics and pharmacodynamics 20 (1992), S. 511-528 
    ISSN: 1573-8744
    Keywords: pharmacokinetics ; population analysis ; model building ; generalized additive models ; NONMEM
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract One major task in clinical pharmacology is to determine the pharmacokinetic-pharmacodynamic (PK-PD) parameters of a drug in a patient population. NONMEM is a program commonly used to build population PK-PD models, that is, models that characterize the relationship between a patient's PK-PD parameters and other patient specific covariates such as the patient's (patho)physiological condition, concomitant drug therapy, etc. This paper extends a previously described approach to efficiently find the relationships between the PK-PD parameters and covariates. In a first step, individual estimates of the PK-PD parameters are obtained as empirical Bayes estimates, based on a prior NONMEM fit using no covariates. In a second step, the individual PK-PD parameter estimates are regressed on the covariates using a generalized additive model. In a third and final step, NONMEM is used to optimize and finalize the population model. Four real-data examples are used to demonstrate the effectiveness of the approach. The examples show that the generalized additive model for the individual parameter estimates is a good initial guess for the NONMEM population model. In all four examples, the approach successfully selects the most important covariates and their functional representation. The great advantage of this approach is speed. The time required to derive a population model is markedly reduced because the number of necessary NONMEM runs is reduced. Furthermore, the approach provides a nice graphical representation of the relationships between the PK-PD parameters and covariates.
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  • 5
    ISSN: 1573-8744
    Keywords: pefloxacin ; population pharmacokinetics ; intensive care unit ; Bayesian estimation ; NONMEM
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The pharmacokinetics of pefloxacin (PF) were investigated in a population of 74 intensive care unit patients receiving 400 mg bid as 1-hr infusion using (i) Bayesian estimation (BE) of individual patient parameters followed by multiple linear regression (MLR) analysis and (ii) NONMEM analysis. The data consisted of 3 to 9 PF plasma levels per patient measured over 1 to 3 dosage intervals (total 113) according to four different limited (suboptimal) sampling 3-point protocols. Twenty-nine covariates (including 15 comedications) were considered to explain the interpatient variability. Predicted PFCLfor a patient with median covariates values was similar in both BE/ MLR and NONMEM analysis (4.02 and 3.92 L/hr, respectively). Bilirubin level and age were identified as the major determinants of PFCLby both approaches with similar predicted magnitude of effects (about 40 and 30% decrease of median CL,respectively). Confounding effects were observed between creatinine clearance (26% decrease of PF CLin the BE/MLR model), simplified acute physiology score (a global score based on 14 biological and clinical variables) (18% decrease of median CLin the NONMEM model) and age (entered in both models) which were highly correlated in our data base. However, both models predicted similar PF CLfor actual subpopulations by using actual covariate values. Finally, the NONMEM analysis allowed identification of an effect of weight on CL(decrease of CL for weight 〈65 kg) whereas the BE/MLR analysis predicted an increase of CLin patients treated with phenobarbital. In conclusion, both approaches allowed identification of the major risk factors of PF pharmacokinetics in ICU patients. Their potential use at different stages of drug development is discussed.
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  • 6
    Publication Date: 2010-06-22
    Print ISSN: 0724-8741
    Electronic ISSN: 1573-904X
    Topics: Chemistry and Pharmacology
    Published by Springer
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  • 7
    Publication Date: 2003-11-01
    Print ISSN: 0724-8741
    Electronic ISSN: 1573-904X
    Topics: Chemistry and Pharmacology
    Published by Springer
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  • 8
    Publication Date: 2015-12-03
    Description: Introduction Andexanet alfa (AnXa) is a specific antidote under development for direct and indirect factor Xa (fXa) inhibitors. AnXa is a recombinant, engineered version of human fXa that is catalytically inactive but retains high affinity for direct fXa inhibitors. AnXa binds fXa inhibitors, sequestering them in plasma, thereby reducing the free inhibitor concentration, reversing fXa inhibition, and normalizing thrombin generation. The decreased unbound concentrations of the direct fXa inhibitors (apixaban, rivaroxaban and edoxaban) cause a portion of the extravascular fXa inhibitors to move into the vasculature. Reversal of fXa inhibitor-induced anticoagulation requires a molar excess of AnXa relative to the total amount of fXa inhibitor in the blood - i.e., the initial fXa inhibitor plasma concentration plus the redistributed amount. We report a PKPD model that accounts for this extravascular-intravascular redistribution and allows determination of the appropriate AnXa dose to reverse the anti-fXa activity for each approved direct fXa inhibitor. Methods A model for rivaroxaban was constructed first by jointly analyzing AnXa concentrations, total and unbound rivaroxaban concentrations, and anti-fXa activity for 5 different doses of AnXa (each administered at the peak plasma level of 20 mg QD rivaroxaban at steady state). Model parameters were estimated by maximum likelihood using nonlinear regression (NONMEM, v. 7.2.0). The model was used to simulate the potential level of reversal of anti-fXa activity after 2.5-40 mg/day rivaroxaban (QD and BID) for different bolus doses of AnXa and to predict maintenance of reversal by various follow-on infusion rates. A similar model was developed to characterize the interaction between AnXa and apixaban. Learnings from the rivaroxaban and apixaban models were used to develop a universal model to predict the level of reversal of anticoagulation for 60 mg edoxaban after a particular dose of AnXa. The model accurately predicted the degree of reversal of edoxaban anticoagulation. The final model was used to construct a nomogram of AnXa doses that could be used for each fXa inhibitor at each approved dose based on timing of the last dose of the inhibitor. Results The final PKPD model was a three-compartment PK model for the fXa inhibitors, including one central and two tissue compartments. The two tissue compartments included one that rapidly equilibrated with the central compartment and a second that equilibrated slowly. The combined volume of the central and rapidly equilibrating compartments was similar to the volume of central compartment of the fXa inhibitor PK models in the absence of AnXa. The AnXa PK was best described by a two-compartment PK model with an additional saturable binding component. The AnXa-fXa inhibitor complex moved to a "sequestration" compartment. Upon release from AnXa, the fXa inhibitor was able to return to the central compartment. The fXa inhibitor did not clear with AnXa. The binding between AnXa and free fXa inhibitor was characterized by a reversible binding equilibrium. There was a direct PKPD linear relationship between free fXa inhibitor concentrations and anti-fXa activity. Simulations were used to estimate the best dosing regimen to reverse anticoagulation for each direct fXa inhibitor. A bolus dose of 800 mg of AnXa followed by an 8 mg/min infusion was sufficient to fully reverse the peak level of anti-fXa activity after the 20 mg QD dose of rivaroxaban. This represents a 〉90% decrease in anti-fXa activity compared to pre-AnXa administration. Sustained reversal of peak anti-fXa levels for the 5 mg BID dose of apixaban required a 400 mg bolus AnXa dose with a follow-on infusion of 4 mg/min. The peak anticoagulant activity of the 60 mg dose of edoxaban could be reversed by an 800 mg bolus dose of AnXa followed by an 8 mg/min infusion. Conclusions A PKPD model was constructed that accurately predicted the AnXa dose necessary to reverse coagulation inhibition of each direct fXa inhibitor. The model incorporated the PK of AnXa, the anti-fXa activity, unbound and total levels of the fXa inhibitor, and the redistribution of each fXa inhibitor between the extravascular and intravascular compartments. Simulations were used to predict the AnXa dose necessary to reverse each approved dose of each direct fXa inhibitor and for different times after the last dose taken of the fXa inhibitor. Disclosures Janet: Portola Pharmaceuticals, Inc.: Employment. Lu:Portola Pharmaceuticals, Inc.: Employment. Curnutte:3-V Biosciences: Equity Ownership; Sea Lane Biotechnologies: Consultancy; Portola Pharmaceuticals, Inc.: Employment. Conley:Portola Pharmaceuticals, Inc.: Employment. Mandema:Portola Pharmaceuticals, Inc.: Consultancy.
    Print ISSN: 0006-4971
    Electronic ISSN: 1528-0020
    Topics: Biology , Medicine
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  • 9
    Publication Date: 2008-11-16
    Description: Introduction: A challenge for dose-ranging trials of a new anticoagulant is to minimize subject risk for venous thromboembolism (VTE) and major bleeding while exploring the efficacy and safety of a wide dose range of the study drug. This study utilized an adaptive design to evaluate PD 0348292 across a 100-fold dose range for the prevention of VTE in subjects after total knee replacement (TKR) surgery. Methods: Adult subjects who had undergone unilateral TKR were randomized to 1 of 6 treatments: double-blind oral PD 0348292 (0.1, 0.3, 0.5, 1.0, or 2.5 mg qd) or open-label subcutaneous enoxaparin (30 mg bid) in a 1:1:1:1:1:2 ratio, respectively. PD 0348292 and enoxaparin were initiated 6 to 8 hours and 12 to 24 hours after surgery, respectively; both were continued for 6 to 14 days. The primary efficacy outcome was the incidence of VTE (proximal or distal deep vein thrombosis assessed by bilateral venography, and/or pulmonary embolism) as adjudicated by an independent central imaging laboratory. The primary safety endpoint was the incidence of total bleeding. The adaptive design allowed for the discontinuation of doses of PD 0348292 due to excessive VTE or major bleeding, and the addition of higher doses (4 and 10 mg qd), based on acceptable major bleeding. The decision to discontinue and/or add doses was based upon pre-specified interim assessments of the incidence of VTE and major bleeding by an independent Data Monitoring Committee (DMC) via model-based dose-response analysis (logistic regression). Results: A total of 1411 subjects were randomized at 99 sites in 16 countries; 1389 were treated with at least 1 dose of study drug; and 749 (53.1%) were evaluable for primary efficacy analysis. As a result of DMC assessments, 3 lower dose groups of PD 0348292 (0.1, 0.3, and 0.5 mg qd) were discontinued, and 2 higher dose groups (4 and 10 mg qd) were added during the study. The observed incidence of VTE was 37.1%, 37.1%, 28.8%, 19.2%, 14.3%, 1.4%, and 11.1% for PD 0348292 doses of 0.1, 0.3, 0.5, 1.0, 2.5, 4.0, and 10.0 mg qd, respectively, compared with 18.1% for enoxaparin. The dose response for PD 0348292 was statistically significant (P 〈 0.001). Based on the dose-response model for efficacy, the dose of PD 0348292 equivalent to enoxaparin 30 mg bid for VTE prevention in TKR subjects was estimated to be 1.16 (95% CI, 0.56, 2.41) mg qd. Overall, PD 0348292 and enoxaparin were well tolerated. No deaths and no unexpected adverse events were reported. A dose-related increase in the incidence of total bleeding, driven mainly by minor bleeding, was observed with PD 0348292, but was not statistically significant (P = 0.2464). The PD 0348292 dose-response relationship for major bleeding was relatively flat and was not statistically significant (P = 0.6040). Observed incidence of major bleeding ranged from 0% to 1.5% across the PD 0348292 dose range studied, compared with 0.8% for enoxaparin. Three of the 5 reported major bleeding events in PD 0348292 subjects occurred at the surgical site, compared with 2 out of 3 in enoxaparin subjects. Conclusion: The adaptive design utilized in this study enabled comparison of a wide dose range of PD 0348292 (0.1 to 10.0 mg qd) to enoxaparin 30 mg bid in TKR surgical subjects using a single study. Modeling of the efficacy data provided an estimate of a dose of PD 0348292 that was equivalent to enoxaparin 30 mg bid for VTE prevention. The adaptive design and modeling allowed use of approximately 2.5-fold fewer subjects than would have a traditional parallel-arm, pairwise-comparison study design.
    Print ISSN: 0006-4971
    Electronic ISSN: 1528-0020
    Topics: Biology , Medicine
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  • 10
    Publication Date: 2005-09-01
    Print ISSN: 1522-1059
    Electronic ISSN: 1550-7416
    Topics: Chemistry and Pharmacology
    Published by Springer
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