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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of pharmacokinetics and pharmacodynamics 2 (1974), S. 161-173 
    ISSN: 1573-8744
    Keywords: Michaelis-Menten kinetics ; dose-dependent kinetics ; one-compartment model ; two-compartment model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Throughout the literature, enzyme constants have been derived by utilizing in vivodata and indirectly assuming that these data were described by the one-compartment open model. However, many drugs are probably best described by a two-compartment open model with Michaelis-Menten elimination kinetics. Simulated data, which obey the two-compartment open model with Michaelis-Menten elimination, and which illustrate some of the interesting properties of such models, are presented. Treatment of two-compartment data by one-compartment analysis is shown to result in a serious distortion of enzyme parameters (V m ,K m ).For data which obey the two-compartment open model, estimation of the Michaelis-Menten constant (K m )and the maximum velocity (V m )by one-compartment analysis cannot be theoretically justified and therefore should be avoided.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of pharmacokinetics and pharmacodynamics 5 (1977), S. 207-224 
    ISSN: 1573-8744
    Keywords: nonlinear pharmacokinetics ; Michaelis-Menten kinetics ; gastric emptying rate ; blood alcohol concentrations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract A nonlinear relationship between the total area under the blood ethanol concentration-time curve and the orally administered dose (mg/kg) of ethanol was observed in fasting subjects. A preliminary model, based on physiological considerations, was elaborated and shown, for the first time, to describe the entire time course of blood alcohol concentrations after four different doses of alcohol. The model could be refined by further experimentation.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1573-8744
    Keywords: Michaelis-Menten kinetics ; sinusoidal perfusion model ; venous equilibration model ; distributed model ; convection-dispersion model ; organ heterogeneity ; bioavailability ; pooling of data ; kinetic parameter estimation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract What can be inferred from limited clinical data by using current models of hepatic elimination? We examined this question by analyzing previously published data on the steady-state uptake of the anticancer agent 5-fluorouracil (5-FU) in seven cancer patients in terms of the venous equilibration model, the undistributed and distributed forms of the sinusoidal perfusion model, and the convection-dispersion model. Because of appreciable extrasplanchnic removal of 5-FU, the value of the steady infusion rate was not used in our analysis. When the data from all patients were pooled by plotting the measured hepatic venous concentration against the measured hepatic arterial concentration, the high concentration data fell on a limiting straight line of slope 1, indicating that at high dose rates elimination of 5-FU in both the liver and gastrointestinal tract was close to saturation. The intercept of this line gave a model-independent estimate of Vmax/Q= 48.0±11.6 (SD) μM for the pooled data set, where Vmax is the maximum splanchnic elimination rate of 5-FU, and Q is the hepatic blood flow. The low concentration data points fell on a limiting straight line through the origin, from which model-dependent values of the Michaelis constant were determined. The venous equilibration model gave K m=9.4μM,while the undistributed sinusoidal perfusion model gave K m * =26,5μM. With these values of K m,both models fit the pooled data equally well. These methods were applied to analyses of the five individual data sets which contained sufficiently high concentration data points. The resulting mean values were Vmax/Q=41.0±5.1 (sem) μM,K m=8.4±1.3μM and K m * =23.2±3.2 μM. However, the splanchnic region is a highly heterogeneous organ system, for which an undistributed analysis provides no more than an upper bound on the Michaelis constant K m + (K m + ⩽K m * ).A perfusion model distributed to represent total splanchnic elimination is developed in the Appendix. Using previous estimates of the degree of functional heterogeneity in the liver alone, this model yields K m + values for individual patients which have a mean of 20.3±2.8 μM.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of pharmacokinetics and pharmacodynamics 1 (1973), S. 103-121 
    ISSN: 1573-8744
    Keywords: Michaelis-Menten kinetics ; dose-dependent kinetics ; elimination half-life ; areas under blood level curves ; urinary excretion of metabolites
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Some old equations are reviewed and some new equations have been derived which indicate certain properties of the Michaelis-Menten equation and its integrated forms. Simulated data which obey Michaelis-Menten kinetics have been plotted in various ways to illustrate special relationships. An equation is derived which accurately estimates the slope of the apparently linear decline (ko)of concentrations from the values of Co, Km,and Vm.This indicates the hybrid nature of ko.It is pointed out that if a metabolite is formed by Michaelis-Menten kinetics, then (a)one would not expect linear plots of cumulative amount of metabolite excreted in the urine vs. time, and (b)the plasma clearance of the drug will change with dose, and the plasma clearance of the drug would be expected to be different following administration of the same dose in a rapidly available and a slowly available dosage form. The distortion in parameter values when data arising from Michaelis-Menten kinetics are evaluated by classical linear pharmacokinetics is indicated.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of pharmacokinetics and pharmacodynamics 2 (1974), S. 149-160 
    ISSN: 1573-8744
    Keywords: Michaelis-Menten kinetics ; dose-dependent kinetics ; pooling of nonlinear equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Pooling of Michaelis-Menten equations for models having parallel paths for formation of two or more metabolites is discussed. A theory which explains phenomena exhibited by pooled nonlinear pharmacokinetic systems and equations relating pooled Michaelis-Menten constants (V p ,K p )to microscopic constants (V i ,K i )are presented. The suitability of this type of pooling for use in pharmacokinetic modeling is also discussed. Use of pooling concepts in the design of clinical studies is demonstrated.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of pharmacokinetics and pharmacodynamics 1 (1973), S. 363-401 
    ISSN: 1573-8744
    Keywords: linear pharmacokinetics ; nonlinear pharmacokinetics ; plasma protein binding ; tissue binding ; Michaelis-Menten kinetics ; nonlinear absorption ; nonlinear distribution ; nonlinear metabolism ; nonlinear renal excretion ; nonlinear biliary excretion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract A modern view of pharmacokinetics must include both linear and nonlinear systems. Evidence of nonlinearities in pharmacokinetics go back to the early 1930's with the origination of the concept that ethyl alcohol is eliminated at a fixed rate independent of its concentration in the body. This paper contains references to over 160 articles which suggest evidence on nonlinearities in drug absorption, distribution, metabolism and excretion, and the pharmacokinetics of drug action. These works are reviewed in a format of six tables: Evidence for Nonlinearities in Drug Absorption; Drug Distribution; Drug Metabolism; Renal Excretion of Drugs and Metabolites; Biliary Excretion of Drugs; and Pharmacokinetics of Drug Action. Special attention is given to the equations used to describe nonlinear kinetics, the recognition of nonlinearities, nonlinear models, and the fitting of data. Seven guidelines are presented for use in possible future pharmacokinetic studies involving drug kinetics.
    Type of Medium: Electronic Resource
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