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  • algebraic rotation number  (1)
  • nanoparticles  (1)
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  • 1
    ISSN: 1573-904X
    Keywords: pilocarpine ; glaucoma ; nanoparticles ; betamethasone ; miosis ; intraocular pressure
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The regional pharmacokinetics as well as the pharmacodynamics of pilocarpine-loaded nanoparticles for the treatment of glaucoma were investigated and compared to a solution of this drug. Poiybutylcy-anoacrylate nanoparticles were prepared by an emulsion polymerization process. Formulations with different drug concentrations (2–6%) as well as different particle concentrations were investigated and analyzed for size and drug loading. Drug binding to the particles was achieved at a level of 10–18% of the total drug content. The colloidal nanoparticles were sufficiently small (diameter: 100–300 nm) for a non-irritating application to the eye. All preparations were applied to the eyes of New Zealand white rabbits which were treated with betamethasone before to create an elevated intraocular pressure (IOP). Pilocarpine concentrations, assayed from aqueous humor using gaschromatography, increased by 23% (AUC) for nanoparticle suspensions compared to aqueous reference solutions. Additionally, t1/2 was prolonged and the elimination coefficient was significantly decreased. Pharmacodynamic effects such as miosis and IOP reduction were investigated. tmax values of aqueous humor concentration were observed to be in a similar time range as miosis tmax readings. It was found that at lower drug contents a more pronounced prolongation of miosis was achieved with nanoparticles versus a standard solution. The lOP-reduction was significantly prolonged with nanoparticles preparations; whereas maximum reduction was obtained with a reference solution after 1–2 hours, it was reached with nanoparticles at about 2–3 hours. Differences between nanoparticles and aqueous solutions were most pronounced at lower drug concentrations.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 38 (1985), S. 785-803 
    ISSN: 1572-9613
    Keywords: Circle mappings ; scaling behavior ; algebraic rotation number ; renormalization group
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We derive universal scaling properties for ℤk−1 actions on the circle whose generators have rotation numbers algebraic of degreek. As fork=2 these properties can be explained for arbitraryk in terms of a renormalization group transformation. It has at least one trivial fixed point corresponding to an action whose generators are pure rotations. The spectrum of the linearized transformation in this fixed point is analyzed completely. The fixed point is hyperbolic with a (k−1)-dimensional unstable manifold. In the casek=2 the known results are therefore recovered.
    Type of Medium: Electronic Resource
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