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  • 1
    ISSN: 1573-904X
    Keywords: partial area method ; bioequivalence ; absorption rate ; cutoff time
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The partial area method has been suggested for the assessment of the absorption rate in bioequivalence studies. This paper provides a theoretical basis for the estimation of the optimal cutoff time point of the partial areas for drugs with one compartment model disposition. The analysis is performed by using the appropriate equations which relate the normalized (in terms of the extent of absorption) partial areas with time expressed in terms of multiples of half-life. Provided that the quality of experimental data ensures precise estimation of the parameters, the tmax of the formulation with the faster absorption characteristics is generally the most practical cutoff time point for calculation of the normalized partial areas, when a drug follows one compartment model disposition with linear absorption.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1573-904X
    Keywords: bioequivalence ; extended release ; steady-state ; absorption rate ; metrics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Bioequivalence assessment of extended release (ER) dosage forms is usually carried out at steady-state, using area under the curve (AUC) to evaluate extent of absorption and maximum concentration (Cmax) and % peak trough fluctuation ratio (%PTF) to evaluate rate of absorption. Other metrics such as Cmax/AUC and partial AUCs have recently been proposed as alternatives for assessing the absorption rate of drugs from immediate release (IR) dosage forms under single dose conditions. The performances of these metrics were assessed using the results of two sets of simulated experiments of ER dosage forms at steady-state and 2 actual pharmacokinetic studies involving ER dosage forms of a Glaxo drug. In the first set of simulations there was no difference in bioavailability between the two formulations; in the second set of simulations the test formulation had a 50% greater absorption rate-constant (ka) than the reference formulation. The following conclusions were reached: 1. For ER dosage forms at steady-state, all the metrics, with the exception of %PTF, resulted in much smaller increases than the underlying 50% increase in ka. Although, %PTF gave the largest effect it was also the most imprecisely estimated. 2. In our studies, none of the metrics tested provided reliable information about changes in the underlying rate of absorption from ER dosage forms under steady-state conditions. 3. The current practice of comparing rate of absorption from ER dosage forms using steady-state Cmax is inappropriate due to lack of sensitivity. The use of %PTF may require a widening in the currently accepted 80-125% permissible range set for Cmax and AUC.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Pharmaceutical research 12 (1995), S. 541-548 
    ISSN: 1573-904X
    Keywords: carrier-mediated transport ; fractal kinetics ; fractal dimension
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract A model based on the fractal methodology is proposed for the kinetic study of carrier-mediated transport under heterogeneous conditions, i.e., when the drug-carrier interaction occurs at an interface with an effective dimensionality smaller than the embedding dimension of d = 2. A model equation is derived for the flux, based on a similar approach for an analogous equation for enzyme kinetics. It is shown that the total flux-solute concentration plots are curvilinear when the fractal dimension is smaller than unity while they become biexponential, with ascending and descending limbs, when the fractal dimension D is in the range 1 〈 D 〈 2. Nonlinear Lineweaver-Burk plots are obtained when this fractal kinetics approach is used. Good fittings are obtained when the fractal model is applied to literature data previously analysed with a combined transport mechanism, revealing experimental systems that display a D value in the range 1 〈 D 〈 2. It is suggested that transport studies should be carried out at a wider working solute concentration range and various agitation and incubation conditions in order to derive definite conclusions for the transport pathways.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Pharmaceutical research 13 (1996), S. 1755-1758 
    ISSN: 1573-904X
    Keywords: bioequivalence ; absorption rate ; metrics ; intercept method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Pharmaceutical research 14 (1997), S. 1122-1126 
    ISSN: 1573-904X
    Keywords: dissolution ; model ; growth ; fraction absorbed ; in vitro-in vivocorrelations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Purpose. To develop a new approach for describing drug dissolution which does not require the presuppositions of time continuity and Fick's law of diffusion and which can be applied to both homogeneous and heterogeneous media. Methods. The mass dissolved is considered to be a function of a discrete time index specifying successive 'generations' (n). The recurrence equation: Φ n+1 = Φ n + r(l − Φn)(1 − Φn X 0/θ) was derived for the fractions of dose dissolved Φ n and Φn +1, between generations n and n + 1, where r is a dimensionless proportionality constant, X 0 is the dose and θ is the amount of drug corresponding to the drug's solubility in the dissolution medium. Results. The equation has two steady state solutions, Φ ss = 1 when (X 0/θ) ≤ 1 and Φ ss = θ/X 0 when (X 0/θ) 〉 1 and the usual behavior encountered in dissolution studies, i.e, a monotonic exponential increase of Φ n reaching asymptotically the steady state when either r 〈 θ/X 0 〈 1 or r 〈 1 〈 θ/X 0. Good fits were obtained when the model equation was applied to danazol data after appropriate transformation of the time scale to 'generations'. The dissolution process is controlled by the two dimensionless parameters θ/X 0 and r, which were found to be analogous to the fundamental parameters dose anddissolution number, respectively. The model was also used for the prediction of fraction of dose absorbed for highly permeable drugs. Conclusions. The model does not rely on diffusion principles and therefore it can be applied under both homogeneous and non-homogeneous conditions. This feature will facilitate the correlation of in vitro dissolution data obtained under homogeneous conditions and in vivo observations adhering to the heterogeneous milieu of the GI tract.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Pharmaceutical research 13 (1996), S. 663-670 
    ISSN: 1573-904X
    Keywords: fractal ; fractal kinetics ; calcium kinetics ; heterogeneity ; drug distribution ; pharmacokinetics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Purpose. To point out the importance of heterogeneity in drug distribution processes and develop a noncompartmental approach for the description of the distribution of drug in the body. Methods. A dichotomous branching network of vessels for the arterial tree connected to a similar venous network was used to describe the heterogeneity of blood flow in the successive generations of the networks. The relevant kinetics of drug distribution in the well perfused and the deep tissues was considered to take place under well stirred (homogeneous) and understirred (heterogeneous) conditions, respectively. Results. A “homogeneous model” with classical kinetics (which is mathematically equivalent with the one-compartment model) was developed for these drugs which are confined to well perfused (“well stirred”) spaces. A “heterogeneous model” was proposed for the drugs reaching understirred spaces using a decreasing with time rate coefficient (fractal kinetics) to model the diffusion of drug under heterogeneous conditions. The analysis of the model equations revealed that the homogeneous model can be considered as a special case of the heterogeneous model. Concentration-time plots of multiexponential type were generated using the heterogeneous model equation. The empirically used power functions of time for the analysis of calcium clearance curves, were found to be similar to the equation adhering to the heterogeneous model. Fittings comparable to multiexponential models were obtained when the heterogeneous model equation with only one adjustable parameter was applied to six sets of long period calcium data. Conclusions. The heterogeneous processes of drug distribution in the body can obey the principles of fractal kinetics. Calcium clearance curves were analysed with the heterogeneous model. The validity of multicompartmental models which are based on the concept of homogeneity to describe drug distribution should be reconsidered.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Pharmaceutical research 17 (2000), S. 108-112 
    ISSN: 1573-904X
    Keywords: drug dissolution ; release kinetics ; heterogeneity of drug dissolution ; bioequivalence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Pharmaceutical research 14 (1997), S. 842-847 
    ISSN: 1573-904X
    Keywords: gastrointestinal absorption ; fractal ; fractal kinetics ; heterogeneity ; bioequivalence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The current analysis of gastrointestinal absorption phenomena relies on the concept of homogeneity. However, drug dissolution, transit and uptake in the gastrointestinal tract are heterogeneous processes since they take place at interfaces of different phases under variable stirring conditions. Recent advances in physics and chemistry demonstrate that the geometry of the environment is of major importance for the treatment of heterogeneous processes. In this context, the heterogeneous character of in vivo drug dissolution, transit and uptake is discussed in terms of fractal concepts. Based on this analysis, drugs are classified in accordance with their gastrointestinal absorption characteristics into two broad categories i.e. homogeneous and heterogeneous. The former category includes drugs with satisfactory solubility and permeability which ensure the validity of the homogeneous hypothesis. Drugs with low solubility and permeability are termed heterogeneous since they traverse the entire gastrointestinal tract and therefore are more likely to exhibit heterogeneous dissolution, transit and uptake. The high variability of whole bowel transit and the unpredictability of conventional dissolution tests for heterogeneous drugs are interpreted on the basis of the fractal nature of these processes underin vivoconditions. The implications associated with the use of strict statistical criteria in bioequivalence studies for heterogeneous drugs are also pointed out.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Pharmaceutical research 15 (1998), S. 1262-1269 
    ISSN: 1573-904X
    Keywords: absorption ; absorption kinetics ; zero-order ; phase plane ; phase plane method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Purpose. To develop a simple approach for investigating absorption kinetics, which does not require modeling assumptions or intravenous data. Methods. The concentration (C) -time (t) data are plotted as a phase plane plot (dC/dt versus C). Errorless C,tdata were generated from one and two compartment models employing first-order, zero-order and Michaelis-Menten input kinetics, and the phase plane plots were constructed. A simple test based on the ratio of slopes of the separate linear regression analyses of absorption and elimination data of the phase plane plot is proposed to justify or not the presence of zero-order input kinetics. Errant data were used to assess the performance of the test developed. Literature data of theophylline and nitroglycerin formulations were analyzed using the phase plane plot. Input rate-time profiles were constructed for one compartment model drugs utilizing the data of the phase plane plot. Results. The geometric forms of the phase plane plots derived from the errorless data of the various pharmacokinetic models were found to be indicative of the absorption kinetics. Very good results were obtained when the test for the discernment of absorption kinetics was applied to errant data. Zero-order absorption kinetics were justified (i) for the transdermal absorption of nitroglycerin and (ii) only for a certain period of time, for the gastrointestinal absorption of theophylline. Conclusions. Investigation of absorption kinetics can be accomplished with the phase plane method. The cumulative character of the classical percent absorbed versus time plots can be misleading in justifying the presence of zero-order input kinetics.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Pharmaceutical research 16 (1999), S. 1764-1769 
    ISSN: 1573-904X
    Keywords: drug ; tube model ; heterogeneous ; gastrointestinal absorption ; fraction absorbed
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Purpose. To develop an approach based on computer simulations for the study of intestinal drug absorption. Methods. The drug flow in the gastrointestinal tract was simulated with a biased random walk model in the heterogeneous tube model Pharm. Res. 16, 87-91, 1999), while probability concepts were used to describe the dissolution and absorption processes. An amount of drug was placed into the input end of the tube and allowed to flow, dissolve and absorb along the tube. Various drugs with a diversity in dissolution and permeability characteristics were considered. The fraction of dose absorbed (F abs ) was monitored as a function of time measured in Monte Carlo steps (MCS). The absorption number An was calculated from the mean intestinal transit time and the absorption rate constant adhering to each of the drugs examined. Results. A correspondence between the probability factor used to simulate drug absorption and the conventional absorption rate constant derived from the analysis of data was established. For freely soluble drugs, the estimates for F abs derived from simulations using as an intestinal transit time 24500 MCS (equivalent to 4.5 h) were in accord with the corresponding data obtained from literature. For sparingly soluble drugs, a comparison of the normalized concentration profiles in the tube derived from the heterogeneous tube model and the classical macroscopic mass balance approach enabled the estimation of the dissolution probability factor for five drugs examined. The prediction of F abs can be accomplished using estimates for the absorption and the dissolution probability factors. Conclusions. A fully computerized approach which describes the flow, dissolution and absorption of drug in the gastrointestinal tract in terms of probability concepts was developed. This approach can be used to predict F abs for drugs with various solubility and permeability characteristics provided that probability factors for dissolution and absorption are available.
    Type of Medium: Electronic Resource
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