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Fractal model of transdermal drug delivery

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Języki publikacji
EN
Abstrakty
EN
Skin, separating the vital organs of a human body, is a desirable route for drug delivery. However, the intact skin is normally permeable only for drug molecules with a low molecular weight. The stratum corneum (SC), being the outermost layer of the skin and the epidermis being the second – more permeable – layer of the skin, play an essential function in transdermal drug delivery. Physical and chemical methods of skin poration are used to enhance transdermal drug delivery. Each poration leads to an irregular system of pores which are connected with a system of micro-capillaries passing through the epidermis. Both the systems by their irregularity form a fractal porous matrix. Drugs administrated by this matrix can be either suspensions and solutions or creams and gels, therefore they have to be modelled as non-Newtonian fluids. To analyse the fluid flow through the porous matrix the model of the epidermis is assumed as gobbet-andmortar with the tortuous mortar of variable thickness and after transition from the mortar to the tube one considered classical and fractal capillary flows of selected non-Newtonian fluids. Fractal expressions for the flow rate, velocity and permeability of fluids flow in a porous matrix are derived based on the fractal properties of the epidermis and capillary model. Each parameter in the proposed expressions does not contain any empirical constant and has a clear physical meaning and the proposed fractal models relate the flow properties of considered fluids with the structural parameters of the epidermis as a porous medium. The presented analytical expressions will help understand some of the physical principles of transdermal drug delivery.
Rocznik
Strony
989--1004
Opis fizyczny
Bibliogr. 25 poz., rys.
Twórcy
autor
  • University of Zielona Góra, Faculty of Mechanical Engineering ul. Szafrana 4, 65-516 Zielona Góra, POLAND
  • University Hospital of Zielona Góra, Oncology Department ul. Zyty 26, 65-046 Zielona Góra, POLAND
Bibliografia
  • [1] Walicka A. (2017): Rheology of Fluids in Mechanical Engineering. – Zielona Góra: University Press.
  • [2] Mandelbrot B.B. (1967): How long is the coast of Britain? Statistical self-similarity and fractional dimension. – Science, vol.155, pp.636-638.
  • [3] Mandelbrot B.B. (1982): The Fractal Geometry of Nature. – New York: W.H. Freeman.
  • [4] Kalia Y.N. and Guy R.H. (2001): Modeling transdermal drug release. – Adv. Drug Delivery Rev., vol.48, pp.159-172.
  • [5] Carreras N., Alonso C., Marti M. and Lis M.J. (2015): Mass transport model through the skin by microencapsulation system. – J. Microencapsulation, vol.32, No.4, pp.358-363.
  • [6] Milington P.F. and Wilkinson R. (1983): Skin. – Cambridge University Press.
  • [7] Cross S.E. and Roberts M.S. (2004): Physical enhancement of transdermal drug application: Is delivery technology keeping up with pharmaceutical development? – Curr. Drug Deliv. vol.1. No.1, pp.81-92.
  • [8] Grassi M. (2008): Membranes in drug delivery. – In: Handbook of Membrane Separations: Chemical, Pharmaceutical, Food and Biotechnological Applications (Pabby A.K., Rizvi S.S.H. and Sastre A.M., Eds), pp.427-464.
  • [9] Prausnitz M.R. and Langer R. (2008): Transdermal drug delivery. – Nat. Biotechnol., vol.26, No.11, pp.1261-1268.
  • [10] Anisimov Y.G. and Roberts M.S. (2014): Mathematical models for topical and transdermal drug products. – In: Topical Drug Bioavailability, Bioequivalence and Penetration (Shah V.P., Maibach H.I. and Jenner J., Eds), Second ed., Springer, New York, pp.249-298.
  • [11] Benson H.A.E. (2005): Transdermal drug delivery: Penetration enhancement techniques. – Curr. Drug. Deliv., vol.2, No.1, pp.23-33.
  • [12] Arora A., Prausnitz M.R. and Mitragori S. (2007): Micro-scale devices for transdermal drug delivery. – Int. J. Pharm., No.364, pp.227-236.
  • [13] Cal K. (2009): Across skin barrier; known methods, new performances. – In: Frontiers in Drug Design and Discovery, vol.4 (Caldwell G.W., Ur-Rahman A., Yan Z., Choudhary M.J., Eds), Bentham Science Publisher, New York, pp.162-188.
  • [14] Cal K. and Stefanowska J. (2010): Methods for skin permeation enhancement of drug substances. – Technology of drug form, vol.66, No.7, pp.514-520.
  • [15] Siegel R.A. (1990): PH-sensitive gels: Swelling equilibria, kinetics and applications for drug delivery. – In: Pulsed and Self-Regulated Drug Delivery (Kost J. Ed.), CRC Press, New York, pp.129-157.
  • [16] Walicka A. (2018a): Simulation of the flow through porous layer composed of converging-diverging capillary fissures and tubes. – Int. J. Appl. Mech. Eng., vol.23, No.1, pp.161-185.
  • [17] Walicka A. (2018b): Flows of Newtonian and power-law fluids in symmetrically corrugated fissures and tubes. – Int. J. Appl. Mech. Eng., vol.23, No.1, pp.187-215.
  • [18] Walicka A., Walicki E., Jurczak P. and Falicki J. (2018): Effect of hindrance factors on a squeeze film of a porous bearing with a DeHaven fluid. – Submited to: Machine Dynamics Research.
  • [19] Walicka A., Jurczak P. and Falicki J. (2018): Flows of Sisko fluid through symmetrically curved capillary fissures and tubes. – Submited to: Machine Dynamics Research.
  • [20] Kushner J., Deen W., Blankshtein D. and Langer R. (2007): First-principles, structure-based transdermal transport model to evaluate lipid partition and diffusion coefficients of hydrophobic permeants soley from stratum corneum permeation experiments. – J. Pharm. Sci., vol.96, No.12, pp.3236-3251.
  • [21] Ferguson J. and Kembłowski Z. (1991): Applied Fluid Rheology. – London, Elsevier.
  • [22] Yu B.M. and Li J.H. (2001): Some fractal characters of porous media. – Fractals, vol.9, No.3, pp.365-372.
  • [23] Yu B.M. (2002): A fractal model for permeability of bi-dispersed porous media. – Int. J. Heat Mass Transfer, vol.45, No.14, pp.2983-2993.
  • [24] Yu B.M. (2005): Fractal character for tortuous stream tubes in porous media. – Chin. Phys. Lett., vol.22, No.1, pp.158-160.
  • [25] Walicki E. (2005): Rheodynamics of Slide Bearings Lubrication (in Polish). – Zielona Góra: University Press.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a40c26e4-5aa9-46b0-bc18-50bfbd729de1
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