The context-sensitive half-time, rather than the terminal elimination half-life, has been proposed as a more clinically relevant measure of decreasing drug concentration after a constant infusion of a given duration. The context-sensitive half-time is derived from computer modelling using known pharmacokinetic parameters. The modelled context-sensitive half-time for a 3-h infusion of alfentanil is 50–55 min and is 3 min for remifentanil. The terminal elimination half-life is 111 min for alfentanil and 12–30 min for remifentanil. It has not been tested whether the modelled context-sensitive half-time reflects the true time for a 50% decrease in drug concentration or drug effect.

Methods: Thirty volunteers received a 3-h infusion of remifentanil or alfentanil at equieffective concentrations. Depression of minute ventilation to 7.5% ETCO2was used as a measure of drug effect. Minute ventilation response was measured, and blood samples for drug concentration were taken during and after drug infusion. The recovery of minute ventilation (drug effect) and decrease in blood drug concentration was plotted, and the time for a 50% change was determined.

Results: The measured pharmacokinetic context-sensitive half-time for remifentanil after a 3-h infusion was 3.2 plus/minus 0.9 min, and its pharmacodynamic offset was 5.4 plus/minus 1.8 min. Alfentanil's measured pharmacokinetic context-sensitive half-time was 47.3 plus/minus 12 min, and its pharmacodynamic offset was 54.0 plus/minus 48 min. The terminal elimination half-life modelled from the volunteers was 11.8 plus/minus 5.1 min for remifentanil and 76.5 plus/minus 12.6 min for alfentanil.

Conclusions: The measured context-sensitive half-times were in close agreement with the context-sensitive half-times previously modelled for these drugs. The results of this study confirm the value of the context-sensitive half-time in describing drug offset compared to the terminal elimination half-life.

SEVERAL intravenous drugs have become available for continuous infusion to provide the components of anesthesia. Traditionally, the terminal elimination half-life has been used as a measure of offset of drug action. However, with drugs whose pharmacokinetics can be described by multicompartment models, this is not satisfactory. The context-sensitive half-time, the time to halving of the blood concentration after termination of drug administration by an infusion designed to maintain a constant concentration, has been proposed as a more useful measure of the pharmacokinetic offset of intravenous anesthetics. By incorporating the effect compartment, the context-sensitive half-time of the pharmacodynamic effect can be modelled. This concept has clinically relevant implications for the administration of intravenous anesthetics in that it would allow a more accurate prediction of the recovery from intravenous infusions at the termination of surgery. However, the concept of context-sensitive half-time has been based on computer modelling and has not been tested in vivo.

Remifentanil is a new anilidopiperidine opioid that contains an ester linkage rendering it susceptible to metabolism by plasma and tissue esterases, which in turn confers it with pharmacokinetics that produce evanescent blood concentrations. The terminal elimination half-life of remifentanil has been reported as 12–30 min. Alfentanil has a terminal elimination half-life of 111 min. Computer modelling has predicted a context-sensitive half-time of 3 min for remifentanil and 50–55 min for alfentanil after a 3-h infusion.

The aim of this study was to measure the context-sensitive half-time of both remifentanil and alfentanil, in terms of their pharmacokinetic and pharmacodynamic offset. This was done after the administration of these drugs for 3 h by infusion and assessed by the changes in the measured drug concentrations and minute ventilation after termination of the infusions.

After approval from the Duke University institutional review board for human studies and obtaining written informed consent, 30 paid volunteers were recruited and randomized to receive an infusion of either alfentanil (n = 15) or remifentanil (n = 15). Inclusion criteria were healthy ASA physical status 1 males, aged 18 to 40 yr, within 20% of ideal body weight. All subjects underwent a medical history and physical examination. Blood samples for hematology and blood chemistries, a urine sample for chemistry and screening for drugs of abuse, and a 12-lead electrocardiogram were obtained. Exclusion criteria were a history of alcohol or drug abuse; smoking more than 10 cigarettes per day; a positive urine screen for drugs of abuse; abnormal renal, hepatic, or hematologic function as assessed by blood a history of opioid use; or anesthesia within 8 weeks of screening and use of prescription medications within 1 week of drug administration. Subjects were not allowed oral intake for 6 h before drug administration, and were instructed to abstain from beverages containing caffeine or alcohol for 12 h and from tobacco products for 4 h before the initiation of the study.

On the morning of the study, subjects had catheters inserted into a radial artery and a peripheral vein. A nasal cannula, electrocardiograph pads, and a pulse oximeter finger probe were placed. Arterial blood pressure, end-tidal carbon dioxide, respiratory rate, finger peripheral hemoglobin oxygen saturation, electrocardiograph (lead II), and heart rate were continuously monitored and recorded via the monitors' RS232 port to a computer-based data acquisition system.

The subjects were randomized double-blind, double-dummy to receive either remifentanil or alfentanil. Blinding was achieved by having the hospital pharmacy prepare two infusion bags, one labelled as remifentanil and the other as alfentanil. For each subject, one bag contained active drug and the other bag contained normal saline. After baseline measurements, both bags were attached to a computer-controlled continuous infusion device and administered as though each contained active drug. The target blood concentration for remifentanil was 1 ng/ml and for alfentanil was 40 ng/ml. These concentrations were estimated to be equipotent using effect compartment modelling from a previous study. The pharmacokinetic model parameters used in the computer-controlled continuous infusion device for this study are listed in Table 1.

Table 1. Pharmacokinetic Parameters Utilized in CACI

Table 1. Pharmacokinetic Parameters Utilized in CACI
Table 1. Pharmacokinetic Parameters Utilized in CACI

Minute ventilation at steady-state end-tidal 7.5% CO2measured using a bag in a box system for 5 min was used as a measure of drug effect. The initial 4 min of each minute ventilation run allowed time for equilibration of the inspired carbon dioxide and the respiratory center in the brain. The minute ventilation data reported is the minute ventilation measured in the last (5th) minute. Minute ventilation was evaluated at baseline and every 15 min after the beginning of the drug infusion and until successive measurements were within 40–70% of the subjects' baseline minute ventilation and within 20% of each other. Thereafter, minute ventilation was measured every 30 min and at 170 min. If the minute ventilation depression was outside the desired range, the target concentration of both drugs were simultaneously adjusted as listed in Table 2. Subjects requiring more than two adjustments in the target concentration of the opioid within the first 60 min of the infusion were withdrawn from the study.

Table 2. The Adjustment in the Target Concentration Made to Obtain a 40–70% Decrease from Baseline of Minute Ventilation When Breathing 7.5% CO sub 2

Table 2. The Adjustment in the Target Concentration Made to Obtain a 40–70% Decrease from Baseline of Minute Ventilation When Breathing 7.5% CO sub 2
Table 2. The Adjustment in the Target Concentration Made to Obtain a 40–70% Decrease from Baseline of Minute Ventilation When Breathing 7.5% CO sub 2

From 2 min before terminating the infusion until 10 min after the end of the infusion, the bag-in-a-box system was used, and the average minute ventilation for each minute was obtained. This provided minute ventilation measurements for each minute for the first 10 min after termination of drug infusion. Thereafter, minute ventilation measurements (as previously described) were made at 20 and 30 min and every 15 min thereafter until values returned to baseline. Arterial blood (5 ml) was collected at baseline, at multiple times during the infusion and at 1, 3, 5, 7, 10, 15, 20, 30, 45, 60, and 90 min and 2, 3, 4, 5, and 6 h after termination of the infusion. These were immediately processed for subsequent analysis of remifentanil and alfentanil whole blood concentrations, as previously described using gas chromatography/mass spectrometry with selected ion monitoring. .

The pharmacokinetic offset in whole blood drug concentration was calculated as the percentage decrease in blood drug concentration after the termination of the infusion:% decrease in drug concentration =(Co - Ct)*symbol* 100/Co, where Ct is concentration at time t and Co is concentration at end of infusion.

To describe pharmacodynamic drug offset, the percentage minute ventilation recovery was calculated in each subject. The minute ventilation measured before administration of any drug was the baseline minute ventilation, and return to this minute ventilation measurement was considered to be 100% recovery. Thus percent recovery of minute ventilation was calculated as %MV recover =(MVt - MVp)*symbol* 100/(MVb - MVp), where MVt is minute ventilation at time t, MVp is minute ventilation before end of infusion, and MVb is minute ventilation baseline (before drug).

The percent decline in blood concentration or recovery of minute ventilation at each time for each patient was plotted against the time after drug infusion.

Percentage recovery in minute ventilation was analyzed by fitting the equation y = a + b (1 - e sup -ct) to each patient's data, where y is percentage minute ventilation recovery, t is time in minutes after the drug infusion, e is the base of the natural logarithm, and a, b, and c are parameters estimated from the data. Time to 50% minute ventilation recovery, t50, was calculated from this equation.

Percentage change in whole blood concentration was analyzed by fitting the equation y = ae sup -bt to each patient's postinfusion data, where y is percentage whole blood concentration decrease, t is time in minutes after the drug infusion, e is the base of the natural logarithm, and a and b are parameters estimated from the data. Time to 50% whole blood concentration decrease, t50, was calculated from this equation. The above equations were fit to the data using nonlinear regression (PROC NLIN, SAS, Cary, NC).

A two-stage pharmacokinetic analysis was performed on the concentration versus time data to fit a two- or three-compartment model. The geometric mean of the individual values was used to provide the mean population values for each parameter. These mean values were then used to determine the elimination half-life. The individuals derived pharmacokinetic parameters were used to recalculate each volunteer's predicted context-sensitive half-time.

Other than for the pharmacokinetic parameters, summary statistics are listed as the mean and standard deviation for each parameter estimate. The elimination half-life was compared to the context-sensitive half-time using an unpaired Student's t test. The half-lives and half-times between the two drugs were similarly compared. A P < 0.01 was considered significant.

Eight subjects, four from each drug group, were withdrawn from the study, because their minute ventilation values were not within the 40–70% depression from baseline within the prescribed 60 min, despite two adjustments in target concentrations. The remaining volunteers consisted of 22 (11 per group) ASA physical status 1 males, ranging in age from 19 to 35 yr (mean 25.4 plus/minus 4.6) and weight from 66.4 to 93.4 kg (mean 77.5 plus/minus 8.0). In 26 subjects, there was a sufficient number of measured blood concentrations to derive pharmacokinetic parameters.

The decrease in whole blood concentration and recovery in minute ventilation for remifentanil after the termination of the infusion is presented in Figure 1. Similarly, the decrease in whole blood concentration and recovery in minute ventilation for alfentanil after the termination of the infusion is presented in Figure 2. The percentage decrease in whole blood concentration and percentage recovery of minute ventilation of each subject against time after termination of the remifentanil infusion is shown in Figure 3and for alfentanil in Figure 4. The fitted function of percent recovery in minute ventilation and decrease in measured blood concentration used to estimate the measured context-sensitive half-time for remifentanil is presented in Figure 5and for alfentanil in Figure 6. The measured time to 50% decrease in blood drug concentration after drug infusion, i.e., the pharmacokinetic half-time, was 3.2 plus/minus 0.9 min for remifentanil and 47.3 plus/minus 12.0 min for alfentanil (P < 0.01). The measured time to 50% recovery in minute ventilation after termination of drug infusion, the pharmacodynamic half-time, was 5.4 plus/minus 1.8 min for remifentanil and 54.0 plus/minus 48.1 min for alfentanil (P < 0.01).

In Table 3, the elimination half-lives and the context-sensitive half-times derived from the pharmacokinetic parameters of the volunteers participating in the study are compared to the context-sensitive half-times measured in these individual subjects after a 3-h infusion of either remifentanil or alfentanil. The measured context-sensitive half-time for both remifentanil and alfentanil was significantly different from their respective elimination half-life (P < 0.01). Both the elimination half-life and the context-sensitive half-times for remifentanil were significantly shorter than those for alfentanil.

Table 3. Elimination Half-Life and Context-sensitive Half-times

Table 3. Elimination Half-Life and Context-sensitive Half-times
Table 3. Elimination Half-Life and Context-sensitive Half-times

The elimination half-life of alfentanil from the pharmacokinetic parameters of Scott and Stanski is 111 min. Based on computer modelling, the context-sensitive half-time for alfentanil (using these pharmacokinetic parameters) after a 3-h infusion is predicted to be 59.4 min. Similarly, using the pharmacokinetics described by Glass et al., the elimination half-life of remifentanil was 9.5 min, and the predicted context-sensitive half-time was 2.45 min. .

We found that, after a 3-h infusion of remifentanil or alfentanil, designed to closely maintain a constant drug concentration and drug effect, the measured times to 50% decline in drug concentration as 3.2 min for remifentanil and 47.3 min for alfentanil, and for a 50% recovery in drug effect, as measured by recovery from respiratory depression, was 5.4 min for remifentanil and 54.0 min for alfentanil. These values for the measured context-sensitive half-times for remifentanil and alfentanil, correspond closely to the modelled context-sensitive half-times as described above. Listed in T3-9is the modelled context-sensitive half-time based on the volunteers' own pharmacokinetic parameters and the measured context-sensitive half-time. For remifentanil, the difference between the measured and modelled context-sensitive half-time was 1.2 min (P = 0.03). These two values are not the same, because the target concentrations were adjusted in some of the volunteers to obtain and maintain a steady effect; thus, the true measured half-time does not exactly represent the modelled context-sensitive half-time. In addition, blood samples for drug concentration were taken at 1-min intervals. This relatively slow sampling rate for remifentanil may have limited our ability to define precisely its measured context sensitive half-time and thereby contributed to the observed difference between the measured and the modelled context-sensitive half-time.

This is the first attempt to measure the context-sensitive half-times for infusion drugs, since this concept was proposed as a more practical description of post-infusion pharmacokinetics. The principle underlying the context-sensitive half-time is that, for drugs exhibiting multicompartment pharmacokinetics, the net distribution of drug into or out of the peripheral compartments varies according to the duration of infusion. After drug infusions of brief duration, the plasma drug concentration decreases rapidly because the central clearance processes are supplemented by continued net distribution of drug out of the plasma into the peripheral compartments. As the infusion duration increases, the peripheral compartment's drug concentrations near equilibration with the plasma drug concentration. Thus, the potential for reducing the plasma drug concentration by distribution mechanisms after the termination of the infusion is greatly reduced, thereby slowing the rate of plasma drug decrease. Importantly, even when the infusion is continued long enough for the drug concentrations in each of the compartments to be in equilibration, postinfusion kinetics are not well described by the "elimination half-life." This is demonstrated with remifentanil, which was infused for far longer than the time necessary to achieve a steady-state, yet its measured context-sensitive half-time at 3 h was considerably shorter than its terminal elimination half-life, but close to its predicted context-sensitive half-time.

For the clinical use of these measures, the required degree of decrease in effect needs to be known. It is important to realize that the decrease in effect does not necessarily mirror the decrease in drug concentration. Initially, as the concentration of drug increases, there is minimal change in the observed effect. As drug concentration continues to rise, this changes, so that small increases in concentration result in large changes in effect. In this steep portion of the concentration-effect curve, the relationship between concentration and the observed effect is linear. As the maximal observed effect is approached, a large change in concentration will result in only a small change in the observed effect. Thus the relationship between drug concentration and drug effect is not a simple linear response. A plot of drug concentration to drug effect for opioids (in this instance ventilatory depression) produces a sigmoidal relationship. The design of this study was to measure the changes in drug effect over the linear portion of this relationship. Even in this linear portion of the concentration response curve, the decrease in blood concentration does not exactly equal the recovery in drug effect. This is because the relationship is not precisely linear. Also, the blood is not the site of drug action, and there is a delay in equilibration of concentrations between the biophase and the blood. This equilibration delay for alfentanil and remifentanil is drug-dependent and is determined by the drug's ke0 with the equilibration time being described by the t1/2 ke0. Over the linear portion of the concentration-effect response, decline of drug effect from remifentanil and alfentanil is thus different from the decline in blood concentration but can be modelled by incorporating their ke0 value. As expected for both remifentanil and alfentanil, the measured context-sensitive half-time for offset of drug effect in this study was slightly longer than the pharmacokinetic context-sensitive half-time. The measured value of the pharmacodynamic offset closely corresponded to the modelled context-sensitive half-time of the effect compartment. For drugs with a smaller ke0 (or longer t1/2 ke0), the difference between the pharmacokinetic and the pharmacodynamic context-sensitive half-time would be larger than that seen with remifentanil or alfentanil. However, it must be emphasized that, if a patient has been overdosed with an opioid, the time taken for the drug concentration to decrease by 50% will not reflect the time for recovery of normal ventilatory drive. Minimal recovery will occur until the concentration of the opioid falls to within the steep portion of the concentration-response curve. The context-sensitive half-time is thus not always a predictor of recovery time. If dosing has been excessive, a far greater percentage of decline in drug concentration than 50% is required before adequate recovery will occur. Also, if dosing has been such that the plasma drug concentration has been continuously altered, the context-sensitive half-time by definition does not hold true. Similarly, the context-sensitive times for differing percentage decreases in drug concentration is not linear. .

This study was conducted with infusions of a single duration, using drugs with very different pharmacokinetic profiles. We found that the time required for a 50% decrease in the measured drug concentration agreed much more closely with the modelled context-sensitive half-time of remifentanil and alfentanil than their respective elimination half-lives. This demonstrates the relevance of the concept of context-sensitive half-times in clinical practice for recovery from drug effect. Ultimately, to more clearly define context-sensitive half-time, it will be necessary to look at infusions of varying duration using different drugs and different plasma concentrations.

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