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Education  |   October 2003
Pharmacodynamic Effect of Morphine-6-glucuronide versus  Morphine on Hypoxic and Hypercapnic Breathing in Healthy Volunteers
Author Affiliations & Notes
  • Raymonda Romberg, M.D.
    *
  • Erik Olofsen, M.Sc.
  • Elise Sarton, M.D., Ph.D.
  • Luc Teppema, Ph.D.
    §
  • Albert Dahan, M.D., Ph.D.
  • *Graduate Student, †Research Associate, ‡Staff Anesthesiologist, §Associate Professor, ∥Associate Professor and Staff Anesthesiologist.
  • Received from the Department of Anesthesiology, Leiden University Medical Center, Leiden, The Netherlands.
Article Information
Education
Education   |   October 2003
Pharmacodynamic Effect of Morphine-6-glucuronide versus  Morphine on Hypoxic and Hypercapnic Breathing in Healthy Volunteers
Anesthesiology 10 2003, Vol.99, 788-798. doi:
Anesthesiology 10 2003, Vol.99, 788-798. doi:
This article is accompanied by an Editorial View. Please see: Gross JB: When you breathe in, you inspire; when you don't breathe, you expire: New insights regarding opioid-induced ventilatory depression. Anesthesiology 2003; 99:767–70.
MORPHINE-6-GLUCURONIDE (M6G) is an important active metabolite of morphine in humans. Approximately 6–10% of morphine is glucuronidated in the liver to M6G, and M6G is, like morphine, a μ-opioid receptor agonist. 1 Data from clinical studies suggest that M6G contributes significantly to the analgesic effect observed after long-term morphine administration. 2–4 Animal studies show profound and long-term antinociception and respiratory depression after M6G injections (especially when given centrally) through its action at the μ-opioid receptor. 5–9 Initial clinical studies indicated excellent pain relief by intravenous M6G with reduced respiratory depression as compared to morphine, 10,11 although recent studies that focused on single bolus or short-term infusions are equivocal with respect to M6G's benefit for acute pain relief. 12–15 Part of the lack of analgesic effect in these studies may be related to the relatively low M6G doses tested (maximum bolus dose 0.1 mg/kg).
There are few human studies on the influence of M6G versus  morphine on the control of breathing. 11,15,16 The results of these studies indicate that M6G produced less respiratory depression than morphine. In one study, M6G caused a slight stimulatory effect on breathing. 11 In common with the analgesic studies, the M6G doses tested in these studies were relatively low (maximum bolus dose 0.07 mg/kg). The results of the respiratory studies are difficult to interpret for the following reasons: (1) morphine and M6G doses tested were not equipotent with respect to analgesic responses; (2) the respiratory effects were not related to the plasma or effect-site M6G or morphine concentrations; (3) respiratory testing was based on the inhalation of no or just one concentration of carbon dioxide, and none of these studies report the actual arterial or end-tidal carbon dioxide concentrations during carbon dioxide inhalation. The last item may have lead to comparisons among agents and times at different end-tidal and arterial carbon dioxide concentrations. These “closed-loop” conditions may have significantly influenced the exposure of respiratory depression caused by the opioids tested.
Morphine-6-glucuronide is currently undergoing phase III clinical trials and will be marketed as an analgesic for postoperative and chronic (non)malignant pain. Therefore, knowledge on its respiratory effects is of importance. Because the respiratory effect of morphine is well documented, 17–19 we compared the effect of M6G against morphine on hypercapnic and hypoxic breathing in a group of healthy female volunteers. To perform experiments without the confounding influence of changes in end-tidal carbon dioxide concentrations, we performed respiratory studies at constant end-tidal pressure of carbon dioxide (Petco2; over time and among agents) by using the computer-driven dynamic end-tidal forcing technique. 20 We chose a morphine dose of 0.13 mg/kg because it causes potent and long-lasting respiratory depression and analgesia in female volunteers. 17,21 As assessed by a pilot study, the M6G dose (0.2 mg/kg) was such that it caused depression of the ventilatory response to carbon dioxide similar to 0.13 mg/kg morphine in magnitude and duration. The data were analyzed using a pharmacokinetic–pharmacodynamic (PK/PD) approach in which the pharmacokinetic data were estimated from data obtained earlier in our laboratory. This allows us the comparison of potencies (in terms of effect-site concentrations causing 25 or 50% depression of breathing) and speed of onset/offset (i.e.  , the blood effect-site equilibration half-life) of both opioids. We further analyzed the data using a dose-driven pharmacodynamic analysis, which uses a dose rate as a function of time rather than the pharmacokinetic profile as input driving the pharmacodynamics. 22,23 This allows the comparison of drug effect in terms of the infusion rate that yields 25% or 50% depression of breathing at steady state. The design of the study was double blind, randomized, and placebo controlled.
Methods
Subjects and Apparatus
Nine healthy female volunteers were recruited after approval of the protocol by the local Human Ethics Committee (Leiden, The Netherlands). Oral and written consent was received from all volunteers. All subjects were healthy and did not have a history of tobacco or illicit drug use, and all took oral contraceptives. The subjects were asked to have a normal night of sleep and not to eat or drink for at least 6 h before the study. During the studies, the subjects were allowed to drink water but not to eat. Subjects were comfortably seated in a hospital bed. All experiments started at 8:30 am.
The subjects were comfortably seated in a hospital bed and breathed through a facemask (Vital Signs, Totowa, NJ). The gas flows were measured with a pneumotachograph connected to a pressure transducer and electronically integrated to yield a volume signal. The volume signal was calibrated with a motor-driven piston pump (stroke volume 1 l, at a frequency of 20/min). Corrections were made for the changes in gas viscosity because of changes in oxygen concentration of the inhaled gas mixtures. The pneumotachograph was connected to a T-piece. One arm of the T-piece received a gas mixture with a flow of 50 l/min from a gas mixing system, consisting of three mass flow controllers (Bronkhorst High Tech BV-F202, Veenendaal, The Netherlands) with which the flow of oxygen, carbon dioxide, and nitrogen could be set individually at a desired level. A personal computer provided control signals to the mass-flow controllers so that the composition of the inspired gas mixtures could be adjusted to force end-tidal oxygen and carbon dioxide concentrations (Peto2and Petco2) to follow a specified pattern in time, independent of the ventilatory response. The inspired and expired oxygen and carbon dioxide concentrations and the arterial hemoglobin–oxygen saturation (Spo2) were measured with a Datex Multicap gas monitor (near the mouth) and Datex Satellite Plus pulse oximeter, respectively (Datex-Engstrom, Helsinki, Finland). The gas monitor was calibrated with gas mixtures of known concentration delivered by a gas-mixing pump (Wösthoff, Bochum, Germany). Petco2, Peto2, inspired minute ventilation (Vi), and Spo2were collected and stored on disc for further analysis.
Pilot Study Design
We decided to assess the effect of morphine and M6G on the ventilatory response to hypoxia at doses of each drug that would cause similar depression of the ventilatory response to carbon dioxide. Therefore, we performed an initial study in seven of our nine subjects testing the effect of 0.13 mg/kg intravenous morphine versus  0.2 mg/kg intravenous M6G. In a previous study, we observed that 0.13 mg/kg morphine causes 30–40% depression of the carbon dioxide sensitivity as well as potent analgesia for more than 6 h in a similar population of healthy female volunteers. 17,21 The dose of 0.2 mg/kg M6G was based on a preliminary analgesia study performed in our laboratory in 32 healthy females. In that study, 0.2 mg/kg M6G caused potent and long-lasting analgesia (> 6 h; R. Romberg, M.D., and A. Dahan, M.D., Ph.D., unpublished observation, July 2001).
The subjects were tested twice with at least 2 weeks between studies. The ventilatory response to carbon dioxide was assessed at times t =−30 min (the control response), t = 1 h, and t = 4 h) after the drug infusion. The order of opioid testing was random, but the study was open label to the researchers. Three to four increases in Petco2were applied to obtain data points for the steady state ventilatory response. All data points were the mean value of 10 breaths taken after 7–8 min of inhaling the hypercapnic gas mixture. The increases varied from 3 to 19 mmHg and were performed with a background of normoxia (Peto2= 110 mmHg). This procedure yields three to four steady state data points. We expressed Vias a linear function of Petco2, 20 Vi= S [Petco2− B], where S is the slope of the hypercapnic ventilatory response and B is the apneic threshold or the intersection with the x-axis (at zero Vi).
The results of the pilot study were as follows (see also fig. 1): M6G and morphine S control values were 1.31 ± 0.32 and 1.27 ± 0.27 l · min−1· mmHg−1(mean ± SD; morphine vs.  M6G: not significant, paired t  test). The values at 1 h after the 90-s drug infusions were M6G 0.83 ± 0.24 and morphine 0.80 ± 0.28 l · min−1· mmHg−1(not significant). Finally, the values at 4 h after the drug infusions were M6G 0.90 ± 0.21 and morphine 0.92 ± 0.27 l · min−1· mmHg−1(not significant). Neither M6G nor morphine had an effect on parameter B (data not given). Because these results indicated a similar effect of 0.13 mg/kg M6G and 0.2 mg/kg morphine on S at 1 and 4 h after drug infusion, these doses were chosen in the respiratory studies.
Fig. 1. Influence of 0.2 mg/kg intravenous morphine-6-glucuronide (left  ) and 0.13 mg/kg intravenous morphine (right  ) on the ventilatory response to carbon dioxide. C  is the population response obtained before any drug given, and 1  and 4  are the population responses 1 and 4 h after the bolus drug infusions, respectively. The effect of morphine and morphine-6-glucuronide on the Vicarbon dioxide responses were similar over the 4-h time span. Petco2= end-tidal pressure of carbon dioxide.
Fig. 1. Influence of 0.2 mg/kg intravenous morphine-6-glucuronide (left 
	) and 0.13 mg/kg intravenous morphine (right 
	) on the ventilatory response to carbon dioxide. C 
	is the population response obtained before any drug given, and 1 
	and 4 
	are the population responses 1 and 4 h after the bolus drug infusions, respectively. The effect of morphine and morphine-6-glucuronide on the Vicarbon dioxide responses were similar over the 4-h time span. Petco2= end-tidal pressure of carbon dioxide.
Fig. 1. Influence of 0.2 mg/kg intravenous morphine-6-glucuronide (left  ) and 0.13 mg/kg intravenous morphine (right  ) on the ventilatory response to carbon dioxide. C  is the population response obtained before any drug given, and 1  and 4  are the population responses 1 and 4 h after the bolus drug infusions, respectively. The effect of morphine and morphine-6-glucuronide on the Vicarbon dioxide responses were similar over the 4-h time span. Petco2= end-tidal pressure of carbon dioxide.
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Study Design
Drugs.
The study had three arms: (1) placebo (5 ml normal saline), (2) 0.2 mg/kg M6G (a solution of 5 ml), and (3) 0.13 mg/kg morphine (5 ml). Each subject participated in all three arms with at least 3 weeks between studies. The local pharmacy performed randomization and prepared the syringes on the day before the experiment. Morphine was locally produced by the hospital pharmacy, and M6G was obtained from CeNeS Ltd. (Cambridge, United Kingdom). Both opioids were dissolved in normal saline. The M6G solution contained no morphine or morphine-3-glucuronide as tested by the local toxicology laboratory. Intravenous drug infusions were made over 90 s. The respective molecular weights of morphine-6-glucuronide and morphine are 461 and 285 g/mol.
Induction of Hypoxia.
Hypoxia was induced with the dynamic end-tidal forcing technique. 20 Steps from normoxia (Peto2110 mmHg for 8 min) into hypoxia (Peto245 mmHg—values reached within four to six breaths) were applied. Because peak hypoxic responses occur within 3 min, 24 hypoxia was maintained for 3 min, after which hyperoxia was introduced for 5 min (inspired oxygen fraction > 0.5). Petco2was maintained at 45 mmHg (∼5 mmHg above individual resting values) to offset any depressant effect of the opioids on Petco2.
Study Sequence.
The study had a randomized double-blind design. Before drug infusion, control or baseline hypoxic responses were obtained. Next, the drugs were infused. Subsequently, ventilatory responses were obtained at 1-h intervals for 7 h. Total duration of the ventilatory testing was 16 min, and testing started 8 min before the hour and lasted until 8 min after the hour. Between ventilatory studies, the subjects were able to read or walk around.
Data Analysis
Ventilatory Response to Hypoxia.
The breath-to-breath data of the last 10 breaths of normoxia (because Petco2was fixed at 45 mmHg, we use the abbreviation Vi45) and the last 10 breaths of hypoxia, Vi(hypoxia), were averaged. Because the relation between ventilation and arterial oxygen saturation is linear, 25 we calculated the difference between the hypoxic and normoxic Viand the Spo2data points and expressed the acute hypoxic ventilatory response (AHR) or sensitivity as follows 25 :MATH(units: l/min per percent desaturation).
Ensemble Average.
Initially, we performed a simple descriptive analysis. To assess the effect of single treatments relative to predrug baseline levels on Vi45 and AHR, we calculated the respective population value ± 95% confidence intervals for each data point in time. When the value of the baseline data point was within the 95% confidence interval of any of the subsequent data points, we considered that specific data point not different from baseline. 24 
Pharmacometric Analysis.
A pharmacodynamic analysis was performed on the M6G and morphine respiratory data. Two respiratory parameters were tested: normoxic ventilation at an increased fixed Petco2level of 45 mmHg (Vi45) and AHR.
Because morphine and M6G concentrations were not measured, the pharmacokinetics of these drugs were estimated using a dose-driven pharmacodynamic approach 22,23 and by using fixed pharmacokinetic parameter values from the literature (references 21 and 26, see also table 1; PK/PD analysis). The dose-driven approach uses a dose rate as a function of time rather than the pharmacokinetic profile as input driving the pharmacodynamics. 22,23 In this approach, compartments (with free parameters) are added until a parsimonious model is obtained, i.e.  , adding more components does not improve the goodness of fit. Details are given in the 1.
Table 1. Pharmacokinetic Parameters from the Literature Used in the Pharmacokinetic–Pharmacodynamic Analysis
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Table 1. Pharmacokinetic Parameters from the Literature Used in the Pharmacokinetic–Pharmacodynamic Analysis
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To eliminate the hysteresis between opioid plasma concentration and respiratory effect, an effect compartment was postulated. This effect compartment equilibrates with the plasma compartment with a time constant t1/2ke0(blood effect-site equilibration half-life).
The relation between effect-site opioid concentration and respiratory effect was modeled by using the following pharmacodynamic model 27 : By substituting E0, which is predrug Vi45 or AHR, for α, and substituting Uγ· 0.25 for xγand U = C/C25, where C25is the effect-site concentration causing 25% decrease of E0, we obtain where E(t) is effect at time t, CE(t) is effect-site concentration at time t, and γ is a dimensionless-shape parameter that determines the steepness of the dose–response curve. Finally, for variable Vi45 but not AHR, E(t) is not allowed to become negative and fixed to 0 when E(t) is less than 0.
The model was fitted to the data with NONMEM version V, level 1.1 (a data analysis program for nonlinear mixed effects modeling; UCSF, San Francisco, CA), using a population approach. 28 Because central volume and C25are not both identifiable in the dose-driven analysis approach, an alternative measure of potency was estimated, the dose driving rate (DODR) that was defined as the infusion rate that yields 25% effect in steady state. 22,23 To make a sensible comparison possible between the potency parameters obtained from both approaches, we also calculated DODR as the product of elimination clearance (Cl1) and C25from the PK/PD analysis.
Likelihood ratio tests were performed to determine whether γ equaled 1. Except for the pharmacokinetic part of the PK/PD model, the presence of first-level random effects (η) was tested on each of the model parameters giving %CV (percent coefficient of variation, a measure of between subject variability). P  values less than 0.01 were considered significant. Values reported are population value ± SE.
Results
All subjects completed the protocol without major side effects. Nausea occurred in five subjects after morphine, one subject after M6G, and in none after placebo. The symptoms were mild and did not necessitate treatment. The mean age of the subjects was 24 ± 2 yr, mean weight was 74 ± 8 kg, and mean height was 174 ± 8 cm. All of the subjects completed the three arms of the study.
Ensemble Average
Predrug Vi45 and AHR did not differ among the three treatment levels (analysis of variance;fig. 2). During the hypoxic studies, Spo2values were 80 ± 2% and Petco2values were 45.4 ± 0.2 mmHg among subjects. Over time, hypoxic Petco2levels did not deviate from predrug values. As determined from the ensemble averaging procedure, placebo had no effect on Vi45 or AHR (95% confidence intervals included baseline value at all measured times;fig. 2). Both morphine and M6G caused significant depression of Vi45 with nearly identical time courses (maximum depression relative to t = 0 h was 30% at t = 2 h; duration of effect was 5–6 h;fig. 2). With respect to AHR, while the absolute magnitude of effect did not differ between M6G and morphine (M6G 40% depression at t = 1 h relative to t = 0 h; morphine 50% depression at t = 4 h relative to t = 0 h). M6G showed a more rapid return to baseline AHR values (M6G data points not different from control from t = 3 h on; morphine data points not significant from control from t = 7 h on;fig. 2).
Fig. 2. Ensemble averages ± 95% confidence intervals (c.i.) of normoxic ventilation at a fixed end-tidal pressure of carbon dioxide (Pco2) of 45 mmHg (Vi45; top  ) and the acute hypoxic response (AHR; bottom  ). Morphine-6-glucuronide (left  ), morphine (middle  ), and placebo (right  ) were infused at time t = 0. The data points at t = 0 are the control data points obtained just before drug infusion. The dash–dot bar  is the extension of the control data point. Open symbols  = data points significantly different from control.
Fig. 2. Ensemble averages ± 95% confidence intervals (c.i.) of normoxic ventilation at a fixed end-tidal pressure of carbon dioxide (Pco2) of 45 mmHg (Vi45; top 
	) and the acute hypoxic response (AHR; bottom 
	). Morphine-6-glucuronide (left 
	), morphine (middle 
	), and placebo (right 
	) were infused at time t = 0. The data points at t = 0 are the control data points obtained just before drug infusion. The dash–dot bar 
	is the extension of the control data point. Open symbols 
	= data points significantly different from control.
Fig. 2. Ensemble averages ± 95% confidence intervals (c.i.) of normoxic ventilation at a fixed end-tidal pressure of carbon dioxide (Pco2) of 45 mmHg (Vi45; top  ) and the acute hypoxic response (AHR; bottom  ). Morphine-6-glucuronide (left  ), morphine (middle  ), and placebo (right  ) were infused at time t = 0. The data points at t = 0 are the control data points obtained just before drug infusion. The dash–dot bar  is the extension of the control data point. Open symbols  = data points significantly different from control.
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Pharmacometric Analysis
Both approaches yielded adequate descriptions of the data. In the dose-driven pharmacodynamic analysis, a one-compartment model with effect compartment was identified. Addition of peripheral compartments did not significantly lower the objective function. In both approaches, the value of γ was not different from 1 (both for Vi45 and AHR). This indicates a linear relation among M6G, morphine, and effect (at least over the dose range studied). Examples of (best, median, and worst) data fits for Vi45 and AHR are given in figure 3for both analysis approaches. The population estimates of the model parameters are given in table 2. Potency parameters from both approaches did not differ significantly (recall, DODR = Cl1· C25). Approximately twice the infusion rate of M6G was necessary to obtain a 25% depression of AHR compared to hypercapnic breathing, while similar infusion rates were needed for morphine to depress AHR and hypercapnic breathing by 25%. In terms of effect-site concentration, we observed that compared to M6G, morphine is approximately 19 times more potent in depressing Vi45 and approximately 50 times more potent in depressing the ventilatory response to acute hypoxia (P  < 0.01 vs.  Vi45). For M6G, greater effect-site concentrations were needed to depress AHR by 25% relative to Vi45; the reverse was true for morphine (fig. 4).
Fig. 3. The influence of intravenous morphine-6-glucuronide (M6G) and morphine on normoxic ventilation at a fixed end-tidal pressure of carbon dioxide (Petco2) of 45 mmHg (Vi45; left  ) and the acute hypoxic response (AHR; right  ). Measured (circles  ) and predicted parameters derived from the pharmacokinetic–pharmacodynamic (continuous lines  ) and the dose-driven pharmacodynamic approaches (broken lines  ). Best, median, and worst fits obtained from the pharmacokinetic–pharmacodynamic analysis. Goodness of fit was assessed by the coefficient of determination (R  2).
Fig. 3. The influence of intravenous morphine-6-glucuronide (M6G) and morphine on normoxic ventilation at a fixed end-tidal pressure of carbon dioxide (Petco2) of 45 mmHg (Vi45; left 
	) and the acute hypoxic response (AHR; right 
	). Measured (circles 
	) and predicted parameters derived from the pharmacokinetic–pharmacodynamic (continuous lines 
	) and the dose-driven pharmacodynamic approaches (broken lines 
	). Best, median, and worst fits obtained from the pharmacokinetic–pharmacodynamic analysis. Goodness of fit was assessed by the coefficient of determination (R  2).
Fig. 3. The influence of intravenous morphine-6-glucuronide (M6G) and morphine on normoxic ventilation at a fixed end-tidal pressure of carbon dioxide (Petco2) of 45 mmHg (Vi45; left  ) and the acute hypoxic response (AHR; right  ). Measured (circles  ) and predicted parameters derived from the pharmacokinetic–pharmacodynamic (continuous lines  ) and the dose-driven pharmacodynamic approaches (broken lines  ). Best, median, and worst fits obtained from the pharmacokinetic–pharmacodynamic analysis. Goodness of fit was assessed by the coefficient of determination (R  2).
×
Table 2. Population Model Parameter Estimates for Normoxia Ventilation at a Fixed Petco2of 45 mmHg and the Ventilatory Response to Acute Hypoxia
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Table 2. Population Model Parameter Estimates for Normoxia Ventilation at a Fixed Petco2of 45 mmHg and the Ventilatory Response to Acute Hypoxia
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Fig. 4. Model prediction of the effect-site morphine-6-glucuronide (left  ) and morphine (right  ) concentrations versus  hypercapnic ventilation (Vi45) and the ventilatory response to acute hypoxia. The analysis was performed using the pharmacodynamic model of equation 3(power model; continuous line  ) with corresponding C25values (closed symbol  for Vi45, open symbol  for hypoxia), and by using a classic inhibitory sigmoid Emax model (broken lines  ). Note the good correspondence of the two models over the concentration ranges used in this study (NONMEM objective functions differed by < 2). At greater (extrapolated) concentration ranges, the sigmoid Emax model underestimates respiratory depression as compared to the power model. Note further the higher morphine sensitivity for effect on the hypoxic response relative to hypercapnic ventilation. The reverse is true for morphine-6-glucuronide.
Fig. 4. Model prediction of the effect-site morphine-6-glucuronide (left 
	) and morphine (right 
	) concentrations versus 
	hypercapnic ventilation (Vi45) and the ventilatory response to acute hypoxia. The analysis was performed using the pharmacodynamic model of equation 3(power model; continuous line 
	) with corresponding C25values (closed symbol 
	for Vi45, open symbol 
	for hypoxia), and by using a classic inhibitory sigmoid Emax model (broken lines 
	). Note the good correspondence of the two models over the concentration ranges used in this study (NONMEM objective functions differed by < 2). At greater (extrapolated) concentration ranges, the sigmoid Emax model underestimates respiratory depression as compared to the power model. Note further the higher morphine sensitivity for effect on the hypoxic response relative to hypercapnic ventilation. The reverse is true for morphine-6-glucuronide.
Fig. 4. Model prediction of the effect-site morphine-6-glucuronide (left  ) and morphine (right  ) concentrations versus  hypercapnic ventilation (Vi45) and the ventilatory response to acute hypoxia. The analysis was performed using the pharmacodynamic model of equation 3(power model; continuous line  ) with corresponding C25values (closed symbol  for Vi45, open symbol  for hypoxia), and by using a classic inhibitory sigmoid Emax model (broken lines  ). Note the good correspondence of the two models over the concentration ranges used in this study (NONMEM objective functions differed by < 2). At greater (extrapolated) concentration ranges, the sigmoid Emax model underestimates respiratory depression as compared to the power model. Note further the higher morphine sensitivity for effect on the hypoxic response relative to hypercapnic ventilation. The reverse is true for morphine-6-glucuronide.
×
Although time constants (t1/2ke0) were generally smaller when obtained from the PK/PD analysis, they were not significantly different from the values obtained from the dose-driven analysis. The larger standard errors of t1/2ke0derived from the dose-driven analysis (table 2) indicate a larger uncertainty in the estimation of this parameter when using the dose-driven pharmacodynamic analysis compared to the PK/PD analysis. As determined from PK/PD analysis, M6G had a faster speed of onset/offset relative to morphine; this was true for Vi45 and AHR, both by a factor of approximately 2.
Discussion
Despite their many side effects, opioids remain the only agents for alleviation of severe pain. Because they are associated with sometimes life-threatening respiratory depression, 29,30 the development and use of opioid analgesics that produce less respiratory depression than commonly used opioids, such as morphine, is of importance. It has been claimed that M6G given intravenously causes less respiratory depression compared to morphine. 11,15,16,31 It is argued that this is related to the lower M6G affinity for the μ2-opioid receptor, relative to morphine. 31 The μ1-opioid receptor is held responsible for the analgesic effect of opioids; the μ2receptor is held responsible for their respiratory effects. 32 Indeed, from the receptor affinity profile, it is expected that M6G (μ1> μ2) causes analgesia with less respiratory effect than morphine. 31 Note, however, that most of these data are obtained from animals.
Experimental Considerations and Limitations
M6G Dose.
The M6G dose of 0.2 mg/kg was chosen because it caused comparable depression of the Vicarbon dioxide response over a 4-h time period (fig. 1). More recent studies from our laboratory show that 0.2 mg/kg M6G causes rapid-onset analgesia significantly greater than placebo in a group of 10 male and 10 female volunteers (R. Romberg, M.D., and A. Dahan, M.D., Ph.D., unpublished observation, November 2002). Whether the M6G dose tested produces equianalgesia relative to 0.13 mg/kg morphine remains unknown.
Sex Differences.
In our study, we tested the effect of morphine and M6G in women exclusively rather than studying a group of mixed sexes. We did so for the reason that we previously observed important sex differences in the effect of morphine on both analgesic and respiratory effect. 17,18,21 We observed greater depression of the AHR and slope of the response to inspired carbon dioxide in women compared to men and greater morphine analgesic potency in women. 17,18,21 Our current observation on morphine is in agreement with our previous findings in women. Whether the current results also apply to men is unknown and deserves further study.
PK/PD versus  Dose-driven Pharmacodynamic Analysis.
We did not measure plasma morphine and M6G concentrations. Instead, we used two separate approaches to overcome this potential shortcoming. We applied a dose-driven pharmacodynamic analysis that enables the dynamic description of data when pharmacokinetic data are missing. However, this approach is restricted. The potency of the drug cannot be determined apart from an indirect measure, the infusion rate that would yield a certain effect at steady state (DODR). The dynamics of the virtual pharmacokinetic and effect compartments are confounded so that estimates of drug elimination (clearance) and drug plasma effect-site concentration equilibration (t1/2ke0) may be biased and dependent on the dosage form. In our PK/PD analysis, the pharmacokinetic parameters used to describe morphine's and M6G's pharmacokinetics were fixed to published data obtained from our own laboratory in a comparable group of subjects and after infusion of similar doses of morphine and M6G. 21,26 In fact, most of the subjects from the current study participated in the previous study on M6G pharmacokinetics. 26 Hence, although the pharmacodynamic parameters from the PK/PD analysis may also be biased and variances of their interindividual variabilities may be overestimated, we expect the bias to be small (at least smaller than the bias obtained using the dose-driven pharmacodynamic approach). Babenco et al.  33 used a PK/PD approach similar to ours (with fixed pharmacokinetic data from the literature) to reliably estimate the onset/offset time constant and C50of remifentanil's effect on ventilatory control.
To test the capability of our two models to predict respiratory effect after a dosing paradigm different from that used in the current study (a true test of the models), we performed six additional experiments. Six female subjects, aged 18–24 yr, received either morphine or M6G, and carbon dioxide–driven ventilation was measured for 7 h at 1-h intervals. Three subjects received a dose of M6G of 0.1 mg/kg at time t = 0 and a second dose of 0.1 mg/kg at t = 4 h. The three other subjects received 0.07 mg/kg morphine at times 0 and 4 h. The results are given in figure 5, showing that the predictions of respiratory depression after repeated dosing derived from both analysis approaches were good. The median prediction errors (bias) and median absolute prediction errors (inaccuracy) were 3.4 and 8.6% (PK/PD approach) and 4.7 and 9.8% (dose-driven approach) for the M6G repeated dose protocol. The equivalent values for morphine were 0 and 6.4% (PK/PD approach) and 0.6 and 6.4% (dose-driven approach). Taking into account these observations as well as the large estimation errors of t1/2ke0derived from the dose-driven analysis (SE and possible bias, see previous paragraph), we will focus the remainder of the discussion on the results obtained from the PK/PD approach.
Fig. 5. The influence of 0.07 mg/kg intravenous morphine given at times t = 0 and t = 4 h in three female subjects (left  ) and the influence of 0.1 mg/kg intravenous morphine-6-glucuronide (M6G) given at times t = 0 and t = 4 h in three other female subjects (right  ) on ventilation at a fixed end-tidal pressure of carbon dioxide (Petco2) of 45 mmHg. Respiratory measurements were obtained at times t = 1, 2, 3, 5, 6, and 7 h after the first infusion. Each symbol represents one subject. The continuous line  is the model prediction of respiratory depression using the pharmacokinetic–pharmacodynamic model; the broken line  is the prediction derived from the dose-driven model. Both models predicted the respiratory effects of a double infusion of morphine and M6G well. The median prediction errors and median absolute prediction errors were 3.4 and 8.6% (pharmacokinetic–pharmacodynamic model) and 4.7 and 9.8% (dose-driven model) for M6G, and 0 and 6.4% (pharmacokinetic–pharmacodynamic model) and 0.6 and 6.4% (dose-driven model) for morphine.
Fig. 5. The influence of 0.07 mg/kg intravenous morphine given at times t = 0 and t = 4 h in three female subjects (left 
	) and the influence of 0.1 mg/kg intravenous morphine-6-glucuronide (M6G) given at times t = 0 and t = 4 h in three other female subjects (right 
	) on ventilation at a fixed end-tidal pressure of carbon dioxide (Petco2) of 45 mmHg. Respiratory measurements were obtained at times t = 1, 2, 3, 5, 6, and 7 h after the first infusion. Each symbol represents one subject. The continuous line 
	is the model prediction of respiratory depression using the pharmacokinetic–pharmacodynamic model; the broken line 
	is the prediction derived from the dose-driven model. Both models predicted the respiratory effects of a double infusion of morphine and M6G well. The median prediction errors and median absolute prediction errors were 3.4 and 8.6% (pharmacokinetic–pharmacodynamic model) and 4.7 and 9.8% (dose-driven model) for M6G, and 0 and 6.4% (pharmacokinetic–pharmacodynamic model) and 0.6 and 6.4% (dose-driven model) for morphine.
Fig. 5. The influence of 0.07 mg/kg intravenous morphine given at times t = 0 and t = 4 h in three female subjects (left  ) and the influence of 0.1 mg/kg intravenous morphine-6-glucuronide (M6G) given at times t = 0 and t = 4 h in three other female subjects (right  ) on ventilation at a fixed end-tidal pressure of carbon dioxide (Petco2) of 45 mmHg. Respiratory measurements were obtained at times t = 1, 2, 3, 5, 6, and 7 h after the first infusion. Each symbol represents one subject. The continuous line  is the model prediction of respiratory depression using the pharmacokinetic–pharmacodynamic model; the broken line  is the prediction derived from the dose-driven model. Both models predicted the respiratory effects of a double infusion of morphine and M6G well. The median prediction errors and median absolute prediction errors were 3.4 and 8.6% (pharmacokinetic–pharmacodynamic model) and 4.7 and 9.8% (dose-driven model) for M6G, and 0 and 6.4% (pharmacokinetic–pharmacodynamic model) and 0.6 and 6.4% (dose-driven model) for morphine.
×
Pharmacodynamic Model.
The power function we used to model respiratory effect (equations 2 and 3) has been applied previously to assess the steady state ventilatory effects of alfentanil and remifentanil. 27,34 The current study shows that our model may also be used to analyze non–steady state respiratory data. Although we and others have used a classic sigmoid Emax model to describe the relation between drug and respiratory effect, 33,35 we believe that the model used in this study has various advantages over the sigmoid Emax model. In reference 27, these advantages are discussed to some extent. In brief, in contrast to the sigmoid Emax model, our model is able to predict negative effect as possibly may occur when an opioid causes a reduction rather than an increase in ventilation in response to hypoxia. 36 Furthermore, in contrast to the sigmoid Emax model, our model is able to predict apnea at finite drug concentrations. Especially at high opioid concentrations, periodic breathing and/or apnea are bound to occur. We reanalyzed our current data using an inhibitory sigmoid Emax model (broken lines  in fig. 5). Over the concentration range applied in this study, the sigmoid Emax model performed equally well compared to the power model (differences in NONMEM's objective functions < 2). As expected, at relatively high opioid concentrations (CE> C25), the sigmoid Emax model underestimated respiratory depression compared to our model. Reanalysis of previous data sets from our laboratory using relatively high opioid doses (sevoflurane–alfentanil and propofol–remifentanil studies) 27,34 revealed significantly better fits using our pharmacodynamic model rather than the sigmoid Emax model. Further studies applying greater M6G and morphine doses are needed to resolve which of the two models predicts the respiratory effect of these opioids best. However, for now, viewing the results of our analyses (power and sigmoid Emax model) and taking into account the reanalyses of the alfentanil and remifentanil data sets, our current approach seems best.
Potency
M6G versus  Morphine.
Morphine-6-glucuronide is less potent than morphine in causing respiratory depression. The potency ratios determined from C25are for Vi45 and AHR 1:19 and 1:50, respectively. Appreciable respiratory depression of Vi45 was observed in all subjects. In this respect, our data are in disagreement with previous studies showing little to no respiratory effect of M6G in humans. 11,15,16 These differences in study outcomes may be related to differences in experimental paradigm (“open-loop”vs.  “closed-loop” conditions) as well as to the relatively very low doses previously tested. Note that none of these studies examined the effect of M6G on hypoxic ventilatory responses.
Our observation that morphine is 19–50 times more potent than M6G in depressing respiratory parameters is in agreement with a recent finding showing that morphine is 11–48 times more potent than M6G judged by their effects on pupil size. 37 The M6G C50value of that study was of the same order of magnitude as the extrapolated Vi45 C50values derived from our experiments (reference 37: 832 nm for M6G, cf.  table 2).
Man versus  Mice.
Our findings are in sharp contrast to mice studies finding higher M6G than morphine potency for respiratory effect. 7,8 For example, in mice, we recently observed a morphine to M6G potency ratio of 1:12 for depression of breathing frequency. 7 Possible reasons to explain the low M6G potency in our current study—apart from the evident variation in the species—include the development of acute tolerance and/or activation of non–μ-opioid receptors associated with respiratory stimulation. 8,37 We argue that this latter mechanism may be equivalent to opioid-induced hyperalgesia due to activation of N  -methyl-d-aspartate (NMDA) pain facilitatory receptors. 8 Because NMDA receptors play an important role in the control of breathing, especially in the development of AHR, 38 further studies are needed to examine the relation among M6G, NMDA receptors, and the modulation of the ventilatory response to hypoxia.
AHR versus  Vi45.
At the concentration morphine causing 25% depression of Vi45, the acute hypoxic response was affected by more than 50% (fig. 4). For M6G, depression of AHR was less then 25% at its C25for Vi45. We consider the latter observation the most important result of our study because most if not all μ opioids affect AHR at lower concentrations than Vi45. 27,34 These differences in opioid behavior (i.e.  , M6G versus  morphine and other μ-opioid receptor agonists) are difficult to explain but may be related to the underestimation of the M6G effect on AHR (i.e.  , a type II error) or to a true difference in opioid behavior, such as (1) differences in morphine and M6G distribution within the brain compartment, 39 (2) the activation of distinct effector pathways (involving different G-protein receptor complexes) by morphine and M6G, 40,41 or (3) activation of stimulatory receptors by M6G but not by morphine in pathways involved in hypoxic control of breathing (see Man versus  Mice section).
Contribution of M6G to Morphine-induced Respiratory Depression.
Assuming that the fraction of morphine clearance which results in M6G formation is 6–10%, 1,21 we calculated that the contribution of M6G to morphine respiratory depression (C25) in humans with a normal renal function is less than 5% in the steady state. Evidently, because M6G is excreted via  the kidneys only, renal failure increases the M6G contribution significantly because of M6G accumulation. However, because M6G respiratory potency is limited (table 2), relatively high steady state M6G plasma concentrations are needed to cause the abolishment of ventilatory responses (e.g.  , steady state concentrations > 2,000 nm for Vi45 and > 3,000 nm for AHR). These calculations are in agreement with a recent report showing that a patient with severe renal failure and M6G plasma concentrations of approximately 1,000 nm after repeated morphine administrations had a respiration frequency greater than 8 breaths/min and no signs of oxygen desaturation. 42 
Speed of Effect Onset/Offset
Morphine-6-glucuronide has a faster speed of onset/offset than morphine. The t1/2ke0values of morphine were greater than those of M6G by a factor of approximately 2 for both AHR and Vi45 as derived from the PK/PD analysis (table 2). This was not expected, taking into account that it is traditionally suggested that M6G penetrates the blood–brain barrier much slower than morphine because of the hydrophilic nature of the molecule. 43,44 To the best of our knowledge, there are only two PK/PD studies on M6G's effect that are available in the literature. 37,43 In rats, Gårdmark et al.  43 observed that M6G had a considerably longer time delay than morphine with respect to analgesic  effect (half-lives 1.4 h and 0.4 h for M6G and morphine, respectively). In humans, values of t1/2ke0obtained from pupil size measurements were 6.4 and 2.8 h for M6G and morphine, respectively (values are medians). 37 As recently reviewed, 31 there is growing evidence that despite its polarity, M6G brain uptake may be faster than previously assumed. This is related to the observation that under certain conditions (e.g.  , in media of low polarity such as the blood–brain barrier) the M6G molecule is able to fold and mask its polar groups, increasing its lipophilicity. 45 These mechanisms may yield M6G molecules with similar lipophilicity as morphine molecules. Recent studies in rats further suggest that only part of the effect delay of morphine and M6G is caused by diffusion across the blood–brain barrier. 46,47 For example, half of M6G's antinociceptive effect delay is the result of drug distribution within the brain tissue, rate-limiting mechanisms at the receptor level, and neuronal dynamics. 47 Taking into account all of the above, we believe that the observed differences in t1/2ke0between morphine and M6G are related to a complex of factors occurring beyond the blood–brain barrier (i.e.  , within the brain compartment) rather than factors related to their washin and washout into and out of the brain compartment.
In conclusion, this study is the first to compare the respiratory pharmacodynamics of morphine and its metabolite, morphine-6-glucuronide, in humans. We observed that morphine has a more potent influence on the control of breathing than M6G in a group of healthy female volunteers free of pain, stress, and inflammation. Most important, morphine and M6G have differential pharmacodynamic effects on the ventilatory response to hypoxia when compared to their effect on carbon dioxide-driven ventilation (Vi45). Higher effect-site concentrations of M6G are needed to depress the VIresponse to acute hypoxia relative to concentrations needed to depress Vi45. Morphine, on the other hand, affects the ventilatory response to hypoxia at a lower effect-site concentration than Vi45. This is important because the chemoreflex response to hypoxia is a vital and sometimes life-saving reflex causing central nervous system arousal and an increase in oxygen uptake. The reasons for the observed differences between morphine and M6G remain unknown, but our data suggest that morphine and M6G act via  distinct and complex pathways. Evidently, further studies are needed to examine whether there are clinically relevant differences in respiratory events in patients on morphine versus  M6G for acute and chronic pain relief.
Appendix: Dose-driven Pharmacodynamic Analysis
Plasma concentration after bolus administration, modeled by n compartments, can be written as:22 MATHwhere dose is the bolus administered, V is the volume of the central compartment, and αiare intercepts and λiare rate constants that can be calculated from k values or volumes and clearances using well-known formulas. 48 In NONMEM, these equations were solved by ADVAN7. When an effect compartment is postulated, it can be derived that the effect-site concentration CE(t) equals: where ke0is the central effect-site concentration equilibration rate. 49 When n = 1, this equation reduces to: where kelis the drug elimination rate. An inhibitory pharmacodynamic model relating concentration to effect reads as: where C25is the effect-site concentration causing a 25% decrease in effect. When no concentration measurements are available, it is impossible to estimate both C25and V, as becomes clear from equations 6 and 7. Following references 22 and 23, we introduce the parameter DODR, the dose driving rate that causes a 25% decrease in effect in steady state, which is given by:MATHSubstituting both DODR and CE(t) in equation 7gives:MATHAs noted by Fisher and Wright, 50 in the absence of concentration data, the parameters keland ke0do not have their usual interpretation. Here, kelrelates dose to the concentration in a hypothetical driving compartment, and ke0in turn relates concentration in that driving compartment to effect. These two relations may not be well described by single rate constants for complex time dependencies. We chose to test extensions of the relation between dose and concentration in the driving compartment, i.e.  , by using equation 5instead of equation 6with increasing n until a parsimonious model was obtained. The other—less plausible—possibility, namely extending the relation between concentration and effect (e.g.  , by adding rate constants), was not explored.
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Fig. 1. Influence of 0.2 mg/kg intravenous morphine-6-glucuronide (left  ) and 0.13 mg/kg intravenous morphine (right  ) on the ventilatory response to carbon dioxide. C  is the population response obtained before any drug given, and 1  and 4  are the population responses 1 and 4 h after the bolus drug infusions, respectively. The effect of morphine and morphine-6-glucuronide on the Vicarbon dioxide responses were similar over the 4-h time span. Petco2= end-tidal pressure of carbon dioxide.
Fig. 1. Influence of 0.2 mg/kg intravenous morphine-6-glucuronide (left 
	) and 0.13 mg/kg intravenous morphine (right 
	) on the ventilatory response to carbon dioxide. C 
	is the population response obtained before any drug given, and 1 
	and 4 
	are the population responses 1 and 4 h after the bolus drug infusions, respectively. The effect of morphine and morphine-6-glucuronide on the Vicarbon dioxide responses were similar over the 4-h time span. Petco2= end-tidal pressure of carbon dioxide.
Fig. 1. Influence of 0.2 mg/kg intravenous morphine-6-glucuronide (left  ) and 0.13 mg/kg intravenous morphine (right  ) on the ventilatory response to carbon dioxide. C  is the population response obtained before any drug given, and 1  and 4  are the population responses 1 and 4 h after the bolus drug infusions, respectively. The effect of morphine and morphine-6-glucuronide on the Vicarbon dioxide responses were similar over the 4-h time span. Petco2= end-tidal pressure of carbon dioxide.
×
Fig. 2. Ensemble averages ± 95% confidence intervals (c.i.) of normoxic ventilation at a fixed end-tidal pressure of carbon dioxide (Pco2) of 45 mmHg (Vi45; top  ) and the acute hypoxic response (AHR; bottom  ). Morphine-6-glucuronide (left  ), morphine (middle  ), and placebo (right  ) were infused at time t = 0. The data points at t = 0 are the control data points obtained just before drug infusion. The dash–dot bar  is the extension of the control data point. Open symbols  = data points significantly different from control.
Fig. 2. Ensemble averages ± 95% confidence intervals (c.i.) of normoxic ventilation at a fixed end-tidal pressure of carbon dioxide (Pco2) of 45 mmHg (Vi45; top 
	) and the acute hypoxic response (AHR; bottom 
	). Morphine-6-glucuronide (left 
	), morphine (middle 
	), and placebo (right 
	) were infused at time t = 0. The data points at t = 0 are the control data points obtained just before drug infusion. The dash–dot bar 
	is the extension of the control data point. Open symbols 
	= data points significantly different from control.
Fig. 2. Ensemble averages ± 95% confidence intervals (c.i.) of normoxic ventilation at a fixed end-tidal pressure of carbon dioxide (Pco2) of 45 mmHg (Vi45; top  ) and the acute hypoxic response (AHR; bottom  ). Morphine-6-glucuronide (left  ), morphine (middle  ), and placebo (right  ) were infused at time t = 0. The data points at t = 0 are the control data points obtained just before drug infusion. The dash–dot bar  is the extension of the control data point. Open symbols  = data points significantly different from control.
×
Fig. 3. The influence of intravenous morphine-6-glucuronide (M6G) and morphine on normoxic ventilation at a fixed end-tidal pressure of carbon dioxide (Petco2) of 45 mmHg (Vi45; left  ) and the acute hypoxic response (AHR; right  ). Measured (circles  ) and predicted parameters derived from the pharmacokinetic–pharmacodynamic (continuous lines  ) and the dose-driven pharmacodynamic approaches (broken lines  ). Best, median, and worst fits obtained from the pharmacokinetic–pharmacodynamic analysis. Goodness of fit was assessed by the coefficient of determination (R  2).
Fig. 3. The influence of intravenous morphine-6-glucuronide (M6G) and morphine on normoxic ventilation at a fixed end-tidal pressure of carbon dioxide (Petco2) of 45 mmHg (Vi45; left 
	) and the acute hypoxic response (AHR; right 
	). Measured (circles 
	) and predicted parameters derived from the pharmacokinetic–pharmacodynamic (continuous lines 
	) and the dose-driven pharmacodynamic approaches (broken lines 
	). Best, median, and worst fits obtained from the pharmacokinetic–pharmacodynamic analysis. Goodness of fit was assessed by the coefficient of determination (R  2).
Fig. 3. The influence of intravenous morphine-6-glucuronide (M6G) and morphine on normoxic ventilation at a fixed end-tidal pressure of carbon dioxide (Petco2) of 45 mmHg (Vi45; left  ) and the acute hypoxic response (AHR; right  ). Measured (circles  ) and predicted parameters derived from the pharmacokinetic–pharmacodynamic (continuous lines  ) and the dose-driven pharmacodynamic approaches (broken lines  ). Best, median, and worst fits obtained from the pharmacokinetic–pharmacodynamic analysis. Goodness of fit was assessed by the coefficient of determination (R  2).
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Fig. 4. Model prediction of the effect-site morphine-6-glucuronide (left  ) and morphine (right  ) concentrations versus  hypercapnic ventilation (Vi45) and the ventilatory response to acute hypoxia. The analysis was performed using the pharmacodynamic model of equation 3(power model; continuous line  ) with corresponding C25values (closed symbol  for Vi45, open symbol  for hypoxia), and by using a classic inhibitory sigmoid Emax model (broken lines  ). Note the good correspondence of the two models over the concentration ranges used in this study (NONMEM objective functions differed by < 2). At greater (extrapolated) concentration ranges, the sigmoid Emax model underestimates respiratory depression as compared to the power model. Note further the higher morphine sensitivity for effect on the hypoxic response relative to hypercapnic ventilation. The reverse is true for morphine-6-glucuronide.
Fig. 4. Model prediction of the effect-site morphine-6-glucuronide (left 
	) and morphine (right 
	) concentrations versus 
	hypercapnic ventilation (Vi45) and the ventilatory response to acute hypoxia. The analysis was performed using the pharmacodynamic model of equation 3(power model; continuous line 
	) with corresponding C25values (closed symbol 
	for Vi45, open symbol 
	for hypoxia), and by using a classic inhibitory sigmoid Emax model (broken lines 
	). Note the good correspondence of the two models over the concentration ranges used in this study (NONMEM objective functions differed by < 2). At greater (extrapolated) concentration ranges, the sigmoid Emax model underestimates respiratory depression as compared to the power model. Note further the higher morphine sensitivity for effect on the hypoxic response relative to hypercapnic ventilation. The reverse is true for morphine-6-glucuronide.
Fig. 4. Model prediction of the effect-site morphine-6-glucuronide (left  ) and morphine (right  ) concentrations versus  hypercapnic ventilation (Vi45) and the ventilatory response to acute hypoxia. The analysis was performed using the pharmacodynamic model of equation 3(power model; continuous line  ) with corresponding C25values (closed symbol  for Vi45, open symbol  for hypoxia), and by using a classic inhibitory sigmoid Emax model (broken lines  ). Note the good correspondence of the two models over the concentration ranges used in this study (NONMEM objective functions differed by < 2). At greater (extrapolated) concentration ranges, the sigmoid Emax model underestimates respiratory depression as compared to the power model. Note further the higher morphine sensitivity for effect on the hypoxic response relative to hypercapnic ventilation. The reverse is true for morphine-6-glucuronide.
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Fig. 5. The influence of 0.07 mg/kg intravenous morphine given at times t = 0 and t = 4 h in three female subjects (left  ) and the influence of 0.1 mg/kg intravenous morphine-6-glucuronide (M6G) given at times t = 0 and t = 4 h in three other female subjects (right  ) on ventilation at a fixed end-tidal pressure of carbon dioxide (Petco2) of 45 mmHg. Respiratory measurements were obtained at times t = 1, 2, 3, 5, 6, and 7 h after the first infusion. Each symbol represents one subject. The continuous line  is the model prediction of respiratory depression using the pharmacokinetic–pharmacodynamic model; the broken line  is the prediction derived from the dose-driven model. Both models predicted the respiratory effects of a double infusion of morphine and M6G well. The median prediction errors and median absolute prediction errors were 3.4 and 8.6% (pharmacokinetic–pharmacodynamic model) and 4.7 and 9.8% (dose-driven model) for M6G, and 0 and 6.4% (pharmacokinetic–pharmacodynamic model) and 0.6 and 6.4% (dose-driven model) for morphine.
Fig. 5. The influence of 0.07 mg/kg intravenous morphine given at times t = 0 and t = 4 h in three female subjects (left 
	) and the influence of 0.1 mg/kg intravenous morphine-6-glucuronide (M6G) given at times t = 0 and t = 4 h in three other female subjects (right 
	) on ventilation at a fixed end-tidal pressure of carbon dioxide (Petco2) of 45 mmHg. Respiratory measurements were obtained at times t = 1, 2, 3, 5, 6, and 7 h after the first infusion. Each symbol represents one subject. The continuous line 
	is the model prediction of respiratory depression using the pharmacokinetic–pharmacodynamic model; the broken line 
	is the prediction derived from the dose-driven model. Both models predicted the respiratory effects of a double infusion of morphine and M6G well. The median prediction errors and median absolute prediction errors were 3.4 and 8.6% (pharmacokinetic–pharmacodynamic model) and 4.7 and 9.8% (dose-driven model) for M6G, and 0 and 6.4% (pharmacokinetic–pharmacodynamic model) and 0.6 and 6.4% (dose-driven model) for morphine.
Fig. 5. The influence of 0.07 mg/kg intravenous morphine given at times t = 0 and t = 4 h in three female subjects (left  ) and the influence of 0.1 mg/kg intravenous morphine-6-glucuronide (M6G) given at times t = 0 and t = 4 h in three other female subjects (right  ) on ventilation at a fixed end-tidal pressure of carbon dioxide (Petco2) of 45 mmHg. Respiratory measurements were obtained at times t = 1, 2, 3, 5, 6, and 7 h after the first infusion. Each symbol represents one subject. The continuous line  is the model prediction of respiratory depression using the pharmacokinetic–pharmacodynamic model; the broken line  is the prediction derived from the dose-driven model. Both models predicted the respiratory effects of a double infusion of morphine and M6G well. The median prediction errors and median absolute prediction errors were 3.4 and 8.6% (pharmacokinetic–pharmacodynamic model) and 4.7 and 9.8% (dose-driven model) for M6G, and 0 and 6.4% (pharmacokinetic–pharmacodynamic model) and 0.6 and 6.4% (dose-driven model) for morphine.
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Table 1. Pharmacokinetic Parameters from the Literature Used in the Pharmacokinetic–Pharmacodynamic Analysis
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Table 1. Pharmacokinetic Parameters from the Literature Used in the Pharmacokinetic–Pharmacodynamic Analysis
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Table 2. Population Model Parameter Estimates for Normoxia Ventilation at a Fixed Petco2of 45 mmHg and the Ventilatory Response to Acute Hypoxia
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Table 2. Population Model Parameter Estimates for Normoxia Ventilation at a Fixed Petco2of 45 mmHg and the Ventilatory Response to Acute Hypoxia
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