Pharmacometrics and the transition to model-based development.

As the transition to model-based drug development continues, pharmacometric analysis will have an increasingly important role across the entire life cycle of drug discovery, development, regulatory approval, and commercialization. For this reason, pharmacometrics can--and should--have an integrating function in the transformation to model-based development. This essay describes an approach for formalizing the pharmacometrics process using the disciplines encompassed by enterprise engineering.

Effects of platelet-modifying drugs on arterial thromboembolism in baboons. Aspirin potentiates the antithrombotic actions of dipyridamole and sulfinpyrazone by mechanism(s) independent of platelet cyclooxygenase inhibition.

To resolve questions of drug actions, efficacy, and interactions for platelet-modifying agents used clinically, we have compared the relative capacities and mechanisms of aspirin, dipyridamole, sulfinpyrazone, and dazoxiben to prevent arterial thromboembolism in a baboon model. In 136 studies the agents were given twice daily by oral administration both singly and in combination. The antithrombotic efficacy of a given therapy was determined by its capacity to interrupt steady-state platelet utilization induced by thrombogenic arteriovenous cannulae. When given alone, dipyridamole and sulfinpyrazone reduced the rate at which platelets were utilized by thrombus formation in a dose-dependent manner with essentially complete interruption by dipyridamole at 10 mg/kg per d. In contrast, neither aspirin (2-100 mg/kg per d) nor dazoxiben (20-100 mg/kg per d) decreased cannula platelet consumption detectably despite the striking reduction in the capacity of platelets to produce thromboxane B2. However, aspirin, but not dazoxiben, potentiated the antithrombotic effects of dipyridamole and sulfinpyrazone in a dose-dependent fashion without changing the pharmacokinetics for any of the agents. Complete potentiation required aspirin at 20 mg/kg per d to be given with each dose of dipyridamole. Because dazoxiben's blockade of platelet thromboxane A2 production was not associated with antithrombotic potentiation, and because complete potentiation by aspirin required a dose that fully inhibited vascular production of prostaglandin I2 (PGI2), we conclude that aspirin's potentiating effect on dipyridamole is independent of PGI2 production or inhibition of thromboxane A2 formation. In addition, because frequent repeated and synchronous dosing of aspirin was necessary, aspirin's potentiating effects appear to be produced by mechanism(s) unrelated to its potent, irreversible inhibition of platelet cyclooxygenase.

Effects of sulfonylureas on the synthesis and secretion of plasminogen activator from bovine aortic endothelial cells.

The effects of sulfonylureas on the production of plasminogen activator (PA) and antiactivator (PAI) were investigated using bovine aortic endothelial cells. All compounds studied stimulated PA release (1.3- to 5.2-fold), with glipizide being the most potent, followed by tolazamide, chlorpropamide, and tolbutamide, in that order, while glyburide was the least effective. Both tissue-type and urokinase-type PA production was enhanced. Studies using metabolic inhibitors indicated that both RNA and protein syntheses are required for the sulfonylurea-mediated stimulation of PA release. In addition to continuous release of the two PAs, there was also a continuous release of a single PAI, which did not show an increase after the sulfonylureas. These results suggest that, in addition to their beneficial effects in the treatment of diabetes mellitus, some sulfonylurea compounds may also have significant thrombolytic effects. These results also suggest that pharmacological enhancement of PA production by vascular endothelial cells may be a promising antithrombotic mechanism.

Treatment of human glioma and medulloblastoma tumor lines in athymic mice with diaziquone and diaziquone-based drug combinations.

We used diaziquone (NSC 182986) alone and in combination with other antineoplastic drugs to treat six human glioma and one human medulloblastoma tumor lines growing s.c. in athymic mice. Pharmacokinetic studies of diaziquone in the plasma of athymic mice indicated rapid clearance with a half-life of approximately 11.5 min. Diaziquone produced significant growth delays in at least one experiment using each of seven different tumor lines, and it produced consistent and significant delays in five of the seven. There was no obvious difference between a single dose and a dose administered once daily for 5 days, and tumor regressions to a volume smaller than that at treatment were uncommon in any of the single-drug experiments. Using our most extensively characterized human glioma line, D-54 MG, we found striking enhancement of the therapeutic effect by using nontoxic combinations of either diaziquone and carmustine (1,3-bis(2-chloroethyl)-1-nitrosourea, NSC 409962) or diaziquone and procarbazine (NSC 77213). These combinations produced significant increases in the median growth delay, significant increases in the number of tumor regressions, and some instances in which no palpable tumors were present 100 days after treatment. In contrast, in experiments using diaziquone -based chemotherapy combinations with either cyclophosphamide, cis-platinum, or vincristine, there was only slight enhancement of the therapeutic effect. These results, using human glioma and medulloblastoma tumor lines in athymic mice, suggest a broad range of activity of diaziquone against primary nervous system tumors and enhancement of its therapeutic effect with either 1,3-bis(2-chloroethyl)-1-nitrosourea or procarbazine. If Phase II and Phase III clinical trials corroborate these findings, the value of the nude mouse system for the evaluation of new therapeutic approaches to brain neoplasms would be further confirmed.

In vitro versus in vivo correlations of chemosensitivity of human medulloblastoma.

An in vitro clonogenic assay was used to test the chemosensitivity of the human medulloblastoma cell line TE-671. Dose-response relationships for reduction in colony formation were generated for cyclophosphamide, vincristine, Adriamycin, 1,3-bis(2-chloroethyl)-1-nitrosourea (NSC 409962), and 1,4-cyclohexadiene-1,4-dicarbamic acid, 2,5-bis(1-aziridinyl)-3,6-dioxo-diethylester (NSC 182986); and the in vitro drug dose at which there is a 75% reduction in the number of colonies in comparison to controls (ID75S) were derived from these data. Methotrexate produced no colony reduction at any dose tested up to 1000 micrograms/ml. The in vitro results were compared to growth delays in s.c. TE-671 xenografts in athymic mice treated with the same agents. Agents with an ID75 less than assumed in vivo plasma drug concentrations were all active in vivo, whereas two of the three agents with an ID75 greater than assumed in vivo plasma drug concentrations demonstrated no in vivo activity. These results suggest that for these agents, the relationship between the ID75 of the drug and its in vivo concentration allows in vitro clonogenic assay results to agree with in vivo growth delay responses.

Fibrinolytic activity after vessel wall injury.

The goal of this study was to assess fibrinolytic activity after vessel wall injury and to correlate changes in fibrinolytic activity with angiographic and histologic findings. Accordingly, in 18 atherosclerotic rabbits, vessel wall injury was produced by means of iliac artery balloon angioplasty (the injury group), whereas 8 atherosclerotic rabbits served as a control group. In all rabbits from the injury group, deep vessel wall injury was documented by either angiography or histologic study. Plasminogen activator inhibitor-1 activity in plasma increased significantly, from 21.79 +/- 1.29 arbitrary units/ml (AU/ml) at baseline study to 32.05 +/- 1.47 AU/ml at 6 h after vessel wall injury (p less than 0.01), whereas activity remained unchanged throughout the 24-h period in the control group. Plasma levels of tissue plasminogen activator activity were similar in both groups. Intravascular thrombus was found in five of six additional rabbits 6 h after vessel wall injury, that is, at the time of impaired fibrinolytic activity, whereas no thrombus was found in the control group (p less than 0.05). It is concluded that deep vessel wall injury is associated with reduced fibrinolytic activity. In addition to other procoagulant factors, elevated plasminogen activator inhibitor-1 activity may lead to intravascular thrombosis and impaired resolution of thrombus.

Effects of losartan on blood pressure, plasma renin activity, and angiotensin II in volunteers.

Losartan is an orally active, nonpeptide angiotensin II (Ang II) (site-1) receptor antagonist. We conducted a multiple-dose study in healthy male volunteers to investigate the tolerability, blood pressure effects, and changes in plasma renin activity (PRA) and plasma Ang II concentration associated with once-daily administration of 100 mg losartan for a week. Subjects were studied on a standardized sodium diet (24-hour urinary sodium excretion, 98 +/- 37 [SD] mEq per 24 hours on the placebo run-in day). Measurements of blood pressure, heart rate, PRA, Ang II, and aldosterone were taken during a placebo run-in day and after single and multiple (7 days) daily doses of losartan (100 mg, n = 10) or placebo (n = 4). Ang II was measured specifically by high performance liquid chromatography coupled with radioimmunoassay. In subjects given losartan, respective decreases (systolic/diastolic) from run-in in supine blood pressure 6 hours after dosing were (mean +/- SD), compared with the placebo run-in day, first dose: -8.8 +/- 9.6/-6.8 +/- 5.0, last dose: -11.6 +/- 8.9/-7.0 +/- 4.8 mm Hg (p < 0.05 for all changes). At this 6-hour time point, corresponding increases from run-in in PRA were from 1.2 +/- 0.6 to 12.0 +/- 6.3 (first dose) and 9.6 +/- 4.9 (last dose) ng angiotensin I per milliliter per hour and in Ang II were from 4.3 +/- 1.7 to 72.4 +/- 33.3 and 45.7 +/- 14.1 pg/mL. All changes in PRA and Ang II were statistically significant within the losartan-treated group, and the biochemical changes were significantly greater than those in the placebo-treated group. The increment in Ang II was less after the last dose than after the first (p < 0.05). The drug was well tolerated by all subjects. These data indicate that, under the conditions of this study, losartan administration (100 mg/day for eight doses over 9 days) results in treatment-related decreases in blood pressure and increases in PRA and Ang II octapeptide.

Biochemical effects of losartan, a nonpeptide angiotensin II receptor antagonist, on the renin-angiotensin-aldosterone system in hypertensive patients.

We investigated the effects of angiotensin II (Ang II) type 1 receptor blockade with losartan on the renin-angiotensin-aldosterone system in hypertensive patients (supine diastolic blood pressure, 95 to 110 mm Hg). Qualifying patients (n = 51) were allocated to placebo, 25 or 100 mg losartan, or 20 mg enalapril. Blood pressure, plasma drug concentrations, and renin-angiotensin-aldosterone system mediators were measured on 4 inpatient days: end of placebo run-in, after first dose, and 2 and 6 weeks of treatment. Plasma drug concentrations were similar after the first and last doses of losartan. At 6 weeks, 100 mg losartan and 20 mg enalapril showed comparable antihypertensive activity. Four hours after dosing, compared with the run-in day, 100 mg losartan increased plasma renin activity 1.7-fold and Ang II 2.5-fold, whereas enalapril increased plasma renin activity 2.8-fold and decreased Ang II 77%. Both drugs decreased plasma aldosterone concentration. For losartan, plasma renin activity and Ang II increases were greater at 2 than at 6 weeks. Effects of losartan were dose related. After the last dose of losartan, plasma renin activity and Ang II changes were similar to placebo changes by 36 hours. These results indicate that long-term blockade of the feedback Ang II receptor in hypertensive patients produces modest increases of plasma renin activity and Ang II that do not appear to affect the antihypertensive response to the antagonist.

The method of relative drug accumulation: a simple method for illustrating the effects of different drug dosing regimens and variability in drug elimination on time courses of drug concentrations.

A simple method is presented for graphically illustrating time courses of relative drug concentrations and accumulation during multiple dosing. This method is based on the drug amount ratio and requires knowledge of only the elimination half-life and the dosing interval. It involves the use of relative drug concentrations, where a concentration of unity is assigned to the time-averaged concentration at steady state in a reference subject for the dosing regimen(s) being evaluated. Examples of application of the method of relative drug accumulation involve simulations of the effects of different multiple-dose regimens and variability in drug elimination on time courses of drug concentrations and drug accumulation.

Estimation of kinetic parameters from a two-point determination of the drug cumulation factor.

A method is described which allows the calculation of kinetic parameters of drugs from two data points, involving a set of simple algebraic equations. This method is based on cumulation characteristics of drugs during multiple dosing. The necessary two blood samples are collected at the end of the first dosing interval and before a succeeding dose after steady state has been reached. The method is applicable for drugs which exhibit linear kinetic characteristics not subject to concentration or time-dependent phenomena. The estimates of the kinetic parameters are associated with different ranges of possible errors, with total clearance being the most reliable estimate. The potential clinical utility of this method is discussed.

Pharmacokinetics of streptokinase in patients based on amidolytic activator complex activity.

The purpose of this study was to determine the pharmacokinetics of intravenous streptokinase in humans. Five patients with myocardial infarction, six patients with venous thromboembolism, and two normal volunteers were studied. The patients with myocardial infarction received 500,000 U over 30 minutes, the patients with venous thromboembolism received 250,000 U over 30 minutes followed by 100,000 U/hr over 16 to 78 hours, and the normal volunteers received 100,000 U over 15 minutes. Plasma streptokinase levels were measured based on the amidolytic activity of the streptokinase-plasminogen complex on the chromogenic substrate S-2251. Pharmacokinetic parameters were: biologic half-life 82 +/- 25 minutes, total clearance 10.8 +/- 8.8 ml/min, and apparent volume of distribution 1.10 +/- 0.71 l. Streptokinase levels declined progressively during the continuous, prolonged infusion in the patients with venous thromboembolism over 60 hours of treatment. We conclude that there are distinct time-dependent changes in the pharmacokinetics of streptokinase during continuous intravenous infusion and that this phenomenon is likely to be associated with progressively decreasing thrombolytic efficacy.

Kinetics and metabolism of sulfinpyrazone.

Six normal subjects (three men and three women) took 200 mg sulfinpyrazone in two oral preparations, a capsule and a suspension. Plasma and urine levels of sulfinpyrazone and the sulfide, p-hydroxy, and sulfone metabolites were measured over three days. The plasma sulfinpyrazone/time concentration profiles indicated a postabsorptive biexponential decline with a mean terminal half life (t1/2) of 299 +/- 107 min. There was intersubject variation in the formation of the metabolites, the greatest being with the sulfide metabolite. Mean t1/2 of the sulfide metabolite was 659 +/- 192 min. The apparent fraction of sulfinpyrazone absorbed was 0.93 +/- 0.24 and the free fraction in plasma was 1.26 +/- 0.04%. Since the sulfide metabolite has a more potent antiplatelet effect and its formation in normal subjects is variable, direct administration of the sulfide may provide a more predictable antithrombotic effect in patients.

Rise in serum and urine creatinine after phenacemide.

Three patients under treatment with phenacemide for uncontrollable psychomotor epilepsy were found to have greatly increased serum creatinine levels in the absence of elevated blood urea nitrogen (BUN) values or any other evidence of renal disease. Serum creatinine returned promptly to normal after omission of the phenacemide and rose quickly again on resumption. Experiments in rabbits and rats fully reproduced these clinical observations. In vivo and in vitro studies with the drug and its metabolites excluded these as a cause for a spurious analytical finding. Rabbits given phenacemide have a fall in serum and urine creatine, while the corresponding creatine values rise. With the use of a creatininase degradation procedure, it could be proved that the markedly elevated serum level and the increased excretion consist of the creatinine and not of any other substance. An effect of phenacemide on the conversion rate of creatinine to creatinine in the body is a speculative possibility.

Dipyridamol kinetics.

The kinetics of the antiplatelet drug dipyridamole were studied in six normal subjects (three men and three women) who were ages 22 to 34 yr old. Each received 20 mg IV and four also took a 50-mg oral dose. Blood samples were collected after each dose for a period of 3 days and concentrations of dipyridamole were measured by a sensitive and specific high-performance liquid chromatographic assay. Concentrations after the intravenous dose showed a triexponential decline with a terminal half-life of 11.6 +/- 2.2 hr (x +/- SD). Total plasma clearance was 8.27 +/- 1.82 1/hr and the apparent volume of distribution was 141 +/- 51 1. Concentrations rose 6 to 10 hr after intravenous dipyridamole in each female subject, but not in the male subjects. Dipyridamole blood/plasma concentration ratio changed from an average of 0.7 over the first hour to 1.2 after 5 hr after the intravenous dose. There was an absorption lag time ranging from 34 to 75 min after the oral dose; concentrations peaked at about 2 to 2.5 hr after the dose. The percentage of unbound drag in plasma was 0.88 +/- 0.24%. Systemic availability of the end oral dose was 43 +/- 13%. These results suggest widely varying concentrations in patients receiving the drug, and raise questions about the current clinical practice of using empirical dosage schedules.

Heparin kinetics determined by three assay methods.

Heparin kinetics were determined in four normal subjects, each of whom received three different doses (25, 50, and 75 units/kg body weight) by intravenous injection. Multiple blood samples were collected after each dose and each plasma sample was assayed for heparin activity using three different assay methods. Two of these assays are based on coagulation tests, i.e., activated partial thromboplastin time and thrombin time, while the third is based on chemical neutralization of heparin using hexadimethrine bromide. Heparin kinetics showed pronounced dose-dependent changes, irrespective of the assay method used, which were characterized by increasing biologic half-life and decreasing total clearance (Cl) with increasing dose. No changes were noted in apparent volume of distribution (Vd). This data also showed that there were differences in kinetic parameters of heparin depending on the assay method. In general, values for total Cl and apparent Vd based on chemical neutralization were approximately 1.5 to 2.0 times these parameters based on coagulation tests. We conclude that the immediate mechanism of the dose-dependent heparin kinetics is decreasing total clearance with increasing dose and suggest that in vivo activation of the anticoagulant properties of heparin may explain the assay-dependent kinetics.

Oral dipyridamole increases plasma adenosine levels in human beings.

Plasma adenosine levels in five healthy volunteers for 5 consecutive days showed far less intrasubject than intersubject variation (p less than 0.0001), indicating that plasma adenosine levels are relatively constant during this period. Plasma adenosine levels were then measured in a different group of five healthy subjects for a 5-day control period and during a 5-day course of oral dipyridamole at a dose of 100 mg every 6 hours. Intrasubject comparisons showed that plasma adenosine levels were significantly higher during the 5 days of dipyridamole administration than during the control period (p = 0.017) and that this increase was most significant after 48 hours of drug (p less than 0.001) administration. The average increase was 0.133 mumol/L (60%) with a range of 0.063 to 0.197 mumol/L (37% to 212%) during the last 3 days. A significant positive correlation was noted between plasma adenosine and dipyridamole levels (p = 0.001). We conclude that adenosine levels are relatively stable for an individual and are maximally increased after 2 days of oral dipyridamole.

The artifactual nature of heparin-induced drug protein-binding alterations.

Our purpose was to determine whether the reported alteration of protein drug binding after heparin administration in man was artifactual as a result of continued in vitro activity of triglyceride lipases. The lipoprotein lipase inhibitors protamine (14 mg/ml) and ethylenediaminetetraacetic acid (10 mg/ml) were added to blood samples from 11 healthy subjects before and 15 min after 100 USP units of intravenous heparin. Heparin elevated total nonesterified fatty acid (NEFA) concentration (P less than 0.001) and free fractions of lidocaine, diazepam, and propranolol (P less than 0.001 for all). The presence of the lipase inhibitors diminished the heparin-induced elevation of NEFA (P less than 0.001) and free fractions of lidocaine (P less than 0.001) and diazepam (P less than 0.001), but these values were still greater than control. The inhibitors reduced propranolol binding in control samples and did not diminish the effects of heparin. The change in NEFA concentrations correlated with the free fraction changes of all three ligands (r = 0.739 to 0.849). These data suggest that the heparin-induced protein binding changes are to, a large extent, in vitro artifacts.

Saliva and plasma levels and plasma protein binding of clofibrinic acid in uremic patients.

Clofibrinic acid in saliva and plasma and its plasma protein binding were determined in 18 patients with renal impairment after a single 2-gm dose of clofibrate. A weak but significant correlation (r2 = 0.378; p less than 0.02) between free plasma and saliva levels of clofibrinic acid was found. The free fraction of clofibrinic acid in plasma is higher (p less than 0.02) in long-term hemodialysis patients (0.0915 +/- 0.0141) than in nondialysis patients (0.0715 +/- 0.0143). During dialysis, 2 hemodialysis patients had a free fraction more than twice as high (mean, 0.2083) as that in the other hemodialysis patients who were studied on interdialysis days. These observations suggest that saliva pH determinations are essential for optimal interpretation of saliva to plasma level ratios of weakly acidic drugs and that, during hemodialysis, patients may temporarily be exposed to increased risks of drug toxicity due to rises in free concentrations of drugs.

Lidocaine plasma protein binding.

The percent of unbound lidocaine in the plasma of 24 healthy subjects was measured by equilibrium dialysis after addition of 3 microgram/ml C14 lidocaine hydrochloride. The percentage of unbound lidocaine varied from 19.9 to 38.8 (30.2 +/- 5, mean +/- SD) was inversely related to the concentration of alpha 1-acid glycoprotein (AAG) in the plasma (r = -0.931, p less than 0.001). The binding ratio (number of moles bound divided by number of moles unbound) of lidocaine was directly related to the plasma AAG concentration (r = 0.960, p less than 0.001). The binding ratio of lidocaine in solutions containing AAG but no albumin, prepared from the plasma of subjects in the study, was also directly related to the concentration of this acute-phase protein (r = 0.909, p less than 0.001). Human serum albumin solution (4 gm/100 ml) bound lidocaine to the extent of 20% under the same conditions. There was no relationship between the binding ratio of lidocaine and the albumin concentration in the plasma of the 24 subjects. In 7 normal subjects variation in AAG between 2 samples collected at least 1 mo apart was associated with a concomitant change in plasma lidocaine binding (r = 0.943, p less than 0.01). Thus even in normal subjects there is considerable interindividual and intraindividual variation in lidocaine binding, and measurements of AAG concentration in plasma may be a useful predictor of the extent of lidocaine plasma binding.

Diazepam and N-desmethyldiazepam redistribution after heparin.

The effects of heparin, 1,000 U intravenously, on the blood, plasma, and free concentrations of diazepam and its metabolite, N-desmethyldiazepam, have been investigated 3 hr after oral administration of 10 mg diazepam to 5 normal subjects. The percent free diazepam and N-desmethyldiazepam increased 15 min after heparin from 1.66 +/- 0.35 to 3.99 +/- 1.88 (mean +/- SD; p less than 0.05) in the case of diazepam anolite. The actual free concentration of diazepam rose from 3.6 +/- 1.04 to 6.9 +/- 1.33 ng/ml (p less than 0.05) 15 min after heparin while total blood concentration was unchanged (144 +/- 54 vs 130 +/- 57 ng/ml). Free concentrations of N-desmethyldiazepam rose from 0.62 +/- 0.17 to 1.01 +/- 0.34 but the effect, though consistent, was not statistically significant. Blood concentrations did not change (15 +/- 3.2 vs 14 +/- 3.9 ng/ml). That free drug level rose without a change in blood or total plasma levels suggests that factors other than simple plasma binding displacement are involved in this drug interaction.