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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Bulletin of mathematical biology 48 (1986), S. 239-240 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1432-0843
    Keywords: Key words Taxol ; Surface modeling ; Isobol
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Purpose: The combination of paclitaxel (PTX) and cisplatin (DDP) shows good clinical efficacy against ovarian cancer. In order to examine the potential cellular basis for this, and provide leads as to how to optimize the combination, we examined the role of sequence of exposure to PTX and DDP on cell growth in vitro. Methods: Four human ovarian carcinoma cell lines, A121, A2780/WT, A2780/DX5B and A2780/CP3, two human head and neck carcinoma cell lines, A253 and FaDu, and the human ileocecal carcinoma cell line, HCT-8, were treated with PTX + DDP with seven schedules: (A) 96 h exposure to PTX + DDP; (B) 24 h PTX alone, then 72 h PTX + DDP; (C) 4 h DDP alone, then 92 h PTX + DDP; (D) 24 h PTX alone, 4 h DDP alone, then 68 h drug-free; (E) 4 h DDP alone, 24 h PTX alone, then 68 h drug-free; (F) 3 h PTX alone, 1 h DDP alone, then 92 h drug-free; and (G) 1 h DDP alone, 3 h PTX alone, then 92 h drug-free. Each of 66 two-drug experiments included five plates (440 randomly treated wells per experiment). Cell growth was measured by the sulforhodamine B assay. The nature and the intensity of the drug interactions were assessed by fitting a seven-parameter model to data with weighted nonlinear regression, enabling the estimation of an interaction parameter, α, with its standard error. Results: Overall there was very little departure from Loewe additivity: 43 experiments showed Loewe additivity, 10 showed Loewe antagonism, and 13 showed slight Loewe synergy. In vitro Loewe synergy was rare, was small when present, and reproducible only for the A121 and HCT-8 cells exposed to schedule D (24 h PTX prior to 4 h DDP). Isobolographic analysis showed complex combined-action surfaces with regions of local Loewe synergy and antagonism. Conclusion: It appears unlikely that the good clinical efficacy of the combination is primarily caused by a synergistic interaction at the cellular level.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1432-0843
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary A phase I and pharmacokinetic study of a novel lipid-soluble antifolate, 2,4 diamino-5-adamanty-6-methyl pyrimidine ethane sulfonate (DAMP-ES) has been carried out on two schedules: I—dailyx5; II—24-h continuous infusion. In schedule I, doses of 10–90 mg/m2 per day were evaluated. Dose-limiting toxicity was hematologic, but nausea and vomiting, skin rash, diarrhea, anorexia, alopecia, mucositis, and neurotoxicity were also noted. In schedule II, doses of 192 and 240 mg/m2 were evaluated. Dose-limiting toxicity was neurotoxicity, but hematologic toxicity was also marked. Recommended starting doses for phase II studies are 75 mg/m2 per day for 5 days or 192 mg/m2 by continuous infusion for 24 h. Pharmacokinetic studies indicated a β-phase plasma half-life of 12.4–24 h and a large and variable volume of distribution.
    Type of Medium: Electronic Resource
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  • 4
    ISSN: 1573-8744
    Keywords: sulforhodamine B ; power model ; weighting function ; Hill model ; nonlinear regression ; parameter
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Modeling of nonlinear pharmacodynamic (PD) relationships necessitates the utilization of a weighting function in order to compensate for the heteroscedasticity. The structure of the variance was studied for concentration–effect data generated in an in vitro 96-well plate cell growth inhibition assay, where data are numerous (480 data points per experiment) and replication is easy. From the five candidate models that were considered, the power function $${\text{S}}_{\text{Y}}^{\text{2}} = \phi _2 \overline {\text{Y}} ^{\phi 3}$$ , where $$\overline {\text{Y}}$$ is the sample mean and $${\text{S}}_{\text{Y}}^{\text{2}}$$ is the sample variance, was shown to be the most appropriate to describe the nonuniformity of the variance along the range of measured effect for 253 sets of $$\left( {\overline {\text{Y}} ;{\text{s}}_{\text{Y}}^{\text{2}} } \right)$$ data. The Hill model was fit to the concentration–effect data with weighted nonlinear regression, where the weights were equal to the reciprocal of the predicted variance. The examination of the distribution of the 253 sets of parameters of the PD model showed that IC50 was lognormally distributed whereas the distribution of γ was normal. The characterization of the appropriate variance function and concentration–effect function in a simple in vitro experimental setting with a large number of experiments, with each experiment including a large number of data points, will be useful for guiding similar in vitro concentration–effect studies where data are plentiful and for guiding PD modeling in complex clinical settings in which extensive data for model characterization is impossible to obtain.
    Type of Medium: Electronic Resource
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  • 5
    ISSN: 1573-904X
    Keywords: quinolones ; seizures ; pharmacodynamics ; nonlinear hyperbolic model ; combination index ; Monte Carlo simulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Purpose. A new mathematical approach was developed to quantify convulsant interaction between pefloxacin and theophylline in rats. Methods. Animals received each compound separately or in different combination ratios. Infusion was stopped at the onset of maximal seizures. Cerebrospinal fluid (CSF) and plasma samples were collected for HPLC drug determination. The nature and intensity of the pharmacodynamic (PD) interaction between drugs was assessed with a new modeling approach which includes (a) data transformation to create an essentially error-free X-variable and (b) estimation of an interaction parameter α by fitting a nonlinear hyperbolic model to the combination data with unweighted nonlinear regression. Results. Drug disposition to the biophase was linear within the range of administered doses. The estimates of α suggested a Loewe antagonistic interaction between pefloxacin and theophylline at the induction of maximal seizures in rats. Similar intensity of PD interaction was observed at the dose and biophase level (α was −0.415 ± 0.069 and −0.567 ± 0.079, respectively). Conclusions. The suitability of the proposed model was assessed by Monte Carlo simulation. This new mathematical approach enabled the characterization of the Loewe antagonistic nature of the PD (convulsant) interaction between pefloxacin and theophylline, whereas previously used methodologies failed to do so.
    Type of Medium: Electronic Resource
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