A two-phase two-layer model for transdermal drug delivery and percutaneous absorption

Mathematical Biosciences

Volumn 257, Issue , 2014, Pages 96-103

  Pontrelli, Giuseppe ^a   de Monte, Filippo ^b  

^a CNR   (Italy)

^b UNIVERSITY OF L'AQUILA   (Italy)

Author keywords

Binding unbinding; Diffusion reaction equation; Local mass non equilibrium; Percutaneous absorption; Transdermal drug delivery

Indexed keywords

DIFFUSION; EIGENVALUES AND EIGENFUNCTIONS; PHARMACOKINETICS; REACTION KINETICS; TARGETED DRUG DELIVERY;

BINDING-UNBINDING; DIFFUSION-REACTION EQUATION; NON EQUILIBRIUM; PERCUTANEOUS ABSORPTION; TRANSDERMAL DRUG DELIVERY;

CONTROLLED DRUG DELIVERY;

ABSORPTION; BIOENGINEERING; DRUG; EIGENVALUE; NUMERICAL MODEL; REACTION KINETICS; SKIN;

ARTICLE; DIFFUSION; DRUG ABSORPTION; DRUG BINDING; DRUG CLEARANCE; DRUG RELEASE; MATHEMATICAL MODEL; SIMULATION; SKIN ABSORPTION; SKIN CAPILLARY; SKIN RECEPTOR; STRATUM CORNEUM; TRANSDERMAL DRUG ADMINISTRATION; TRANSDERMAL PATCH; BIOLOGICAL MODEL; DRUG DELIVERY SYSTEM; PHYSIOLOGY; TOPICAL DRUG ADMINISTRATION;

ADMINISTRATION, TOPICAL; DRUG DELIVERY SYSTEMS; MODELS, BIOLOGICAL; SKIN ABSORPTION;

EID: 84908571024     PISSN: 00255564     EISSN: 18793134     Source Type: Journal    
DOI: 10.1016/j.mbs.2014.05.001     Document Type: Article

References (21)

1. Chien Y.W. Novel Drug Delivery Systems 1992, M. Dekker Inc.
2. Mitragotri S., Anissimov Y.G., Bunge A.L., et al. Mathematical models of skin permeability: an overview. Int. J. Pharm. 2011, 418:115.
3. Prausnitz M.R., Langer R. Transdermal drug delivery. Nat. Biotechnol. 2008, 26(11):1261.
4. Anissimov Y.G., Roberts M.S. Diffusion modelling of percutaneous absorption kinetics: effects of a slow equilibration process within stratum corneum on absorption and desorption kinetics. J. Pharmac. Science 2009, 98:772.
5. Mitragotri S. Devices for overcoming biological barriers: the use of physical forces to disrupt the barriers. Adv. Drug Deliv. Rev. 2013, 65:100.
6. Manitz R., Lucht W., Strehmel K., Weiner R., Neubert R. On mathematical modeling of dermal and transdermal drug delivery. J. Pharm. Sci. 1998, 87:873.
7. Addick W., Flynn G., Weiner N., Curl R. A mathematical model to describe drug release from thin topical applications. Int. J. Pharm. 1989, 56:243.
8. Frasch H.F., Barbero A.M. Application of numerical methods for diffusion-based modeling of skin permeation. Adv. Drug Deliv. Rev. 2013, 65:208.
9. Frasch H.F., Barbero A.M., Hettick J.M., Nitsche J.M. Tissue binding affects the kinetics of theophylline diffusion through the stratum corneum barrier layer of skin. J. Pharm. Sci. 2011, 100(7):2989.
10. Anissimov Y.G., Jepps O.G., Dancik Y., Roberts M.S. Mathematical and pharmacokinetics modelling of epidermal and dermal transport processes. Adv. Drug Deliv. Rev. 2013, 65:169.
11. de Monte F., Pontrelli G., Becker S. Transdermal drug delivery and percutaneous absorption: mathematical modelling perspectives. Heat Transfer and Fluid Flow in Biological Processes 2014, Elsevier, (in press, Chapter 10). Becker, Kuznetsov (Eds.).
12. Naegel A., Heisig M., Wittum G. Detailed modeling of skin penetration - an overview. Adv. Drug Deliv. Rev. 2013, 65:191.
13. Rim J.E., Pinsky P.M., van Osdol W.W. Finite element modeling of coupled diffusion with partitioning in transdermal drug delivery. Ann. Biomed. Eng. 2005, 33(10):1422.
14. Pontrelli G., de Monte F. Mass diffusion through two-layer porous media: an application to the drug-eluting stent. Int. J. Heat Mass Transf. 2007, 50:3658.
15. Pontrelli G., de Monte F. Modeling of mass dynamics in arterial drug-eluting stents. J. Porous Media. 2009, 12(1):19.
16. Pontrelli G., de Monte F. A multi-layer porous wall model for coronary drug-eluting stents. Int. J. Heat Mass Transf. 2010, 53:3629.
17. Pontrelli G., Di Mascio A., de Monte F. Local mass non-equilibrium dynamics in multi-layered porous media: application to the drug-eluting stents. Int. J. Heat Mass Transf. 2013, 66:844.
18. Pontrelli G., Di Mascio A., de Monte F. Modelling transdermal drug delivery through a two-layered system. Procs. of 3rd Int. Conf. on Simulation and Modeling Methodologies, Technologies and Applications - Simultech 2013, Reykjavik, 29-31 July 2013, 645.
19. Tzafiri A.R., Groothuis A., Sylvester Price G., Edelman E.R. Stent elution rate determines drug deposition and receptor-mediated effects. J. Contr. Rel. 2012, 161:918.
20. Kubota K., Dey F., Matar S.A., Twizell E.H. A repeated dose model of percutaneous drug absorption. Appl. Math. Modell. 2002, 26:529.
21. Simon L., Loney N.W. An analytical solution for percutaneous drug absorption: application and removal of the vehicle. Math. Biosci 2005, 197:119.