Mathematical models for skin toxicology

Bibliography

• Rook A, Burns T. Rook's textbook of dermatology. 8th edition. Wiley-Blackwell, Chichester, West Sussex, UK; Hoboken, NJ; 2010
   Google Scholar
• Riviere JE, Monteiro-Riviere NA. The isolated perfused porcine skin flap as an in vitro model for percutaneous absorption and cutaneous toxicology. Crit Rev Toxicol 1991;21:329-44
   PubMed Web of Science ®Google Scholar
• Riviere JE, Bowman KF, Monteiro-Riviere NA, et al. The isolated perfused porcine skin flap (IPPSF). I. A novel in vitro model for percutaneous absorption and cutaneous toxicology studies. Fundam Appl Toxicol 1986;7:444-53
   PubMedGoogle Scholar
• Carver MP, Riviere JE. Percutaneous absorption and excretion of xenobiotics after topical and intravenous administration to pigs. Fundam Appl Toxicol 1989;13:714-22
   PubMedGoogle Scholar
• Williams PL, Carver MP, Riviere JE. A physiologically relevant pharmacokinetic model of xenobiotic percutaneous-absorption utilizing the isolated perfused porcine skin flap. J Pharm Sci 1990;79:305-11
   PubMed Web of Science ®Google Scholar
• King JR, Riviere JE, Monteiro-Riviere NA. Characterization of lewisite toxicity in isolated perfused skin. Toxicol Appl Pharmacol 1992;116:189-201
   PubMed Web of Science ®Google Scholar
• Zhang Z, Riviere JE, Monteiro-Riviere NA. Evaluation of protective effects of sodium thiosulfate, cysteine, niacinamide and indomethacin on sulfur mustard-treated isolated perfused porcine skin. Chem Biol Interact 1995;96:249-62
   PubMed Web of Science ®Google Scholar
• Zhang Z, Monteiro-Riviere NA. Comparison of integrins in human skin, pig skin, and perfused skin: an in vitro skin toxicology model. J Appl Toxicol 1997;17:247-53
   PubMed Web of Science ®Google Scholar
• Mol MAE, Vangenderen J, Wolthuis OL. Cultured human epidermal-cells as a tool in skin toxicology. Food Chem Toxicol 1986;24:519-20
   Web of Science ®Google Scholar
• Lawrence JN. Application of in vitro human skin models to dermal irritancy: a brief overview and future prospects. Toxicol In Vitro 1997;11:305-12
   PubMed Web of Science ®Google Scholar
• Schreiber S, Mahmoud A, Vuia A, et al. Reconstructed epidermis versus human and animal skin in skin absorption studies. Toxicol In Vitro 2005;19:813-22
   PubMed Web of Science ®Google Scholar
• Passos S, de Souza P, Soares P, et al. Quantitative approach to skin field cancerization using a nanoencapsulated photodynamic therapy agent: a pilot study. Clin Cosmet Investig Dermatol 2013;6:51-9
   PubMedGoogle Scholar
• Anissimov YG, Jepps OG, Dancik Y, et al. Mathematical and pharmacokinetic modelling of epidermal and dermal transport processes. Adv Drug Deliv Rev 2013;65:169-90
   PubMed Web of Science ®Google Scholar
• Jepps OG, Dancik Y, Anissimov YG, et al.Modeling the human skin barrier. Towards a better understanding of dermal absorption. Adv Drug Deliv Rev 2013;65:152-68
   PubMed Web of Science ®Google Scholar
• Mitragotri S, Anissimov YG, Bunge AL, et al. Mathematical models of skin permeability: an overview. Int J Pharm 2011;418:115-29
   PubMed Web of Science ®Google Scholar
• Scheuplein RJ, Blank IH. Permeability of the skin. Physiol Rev 1971;51:702-47
   PubMed Web of Science ®Google Scholar
• Roberts MS, Walters KA. The relationship between structure and barrier function of skin. In: Roberts MS, Walters KA, editors, Dermal absorption and toxicity assessment. Marcel Dekker, NewYork; 1998
   Google Scholar
• Siddiqui O, Roberts MS, Polack AE. Percutaneous absorption of steroids: relative contributions of epidermal penetration and dermal clearance. J Pharmacokinet Biopharm 1989;17:405-24
   PubMedGoogle Scholar
• Roberts MS, Anissimov YG. Mathematical models in percutaneous absorption. In: Bronaugh RL, Maibach HI, editors, Percutaneous absorption drugs – cosmetics – mechanisms – methodology. 4th edition. Marcel Dekker, New York; 2005
   Google Scholar
• Potts RO, Guy RH. Predicting skin permeability. Pharm Res 1992;9:663-9
   PubMed Web of Science ®Google Scholar
• Barbero AM, Frasch HF. Transcellular route of diffusion through stratum corneum: results from finite element models. J Pharm Sci 2006;95:2186-94
   PubMed Web of Science ®Google Scholar
• Barry BW. Drug delivery routes in skin: a novel approach. Adv Drug Deliv Rev 2002;54(Suppl 1):S31-40
   PubMed Web of Science ®Google Scholar
• Barratt MD. Quantitative structure-activity relationships for skin permeability. Toxicol In Vitro 1995;9:27-37
   PubMed Web of Science ®Google Scholar
• Abraham MH, Martins F, Mitchell RC. Algorithms for skin permeability using hydrogen bond descriptors: the problem of steroids. J Pharm Pharmacol 1997;49:858-65
   PubMed Web of Science ®Google Scholar
• Abraham MH, Chadha HS, Mitchell RC. The Factors That Influence Skin Penetration of Solutes. J Pharm Pharmacol 1995;47:8-16
   Web of Science ®Google Scholar
• Roberts MS, Pugh WJ, Hadgraft J, et al. Epidermal permeability penetrant structure relationships. 1. An analysis of methods of predicting penetration of monofunctional solutes from aqueous solutions. Int J Pharm 1995;126:219-33
   Web of Science ®Google Scholar
• Moss GP, Dearden JC, Patel H, et al. Quantitative structure-permeability relationships (QSPRs) for percutaneous absorption. Toxicol In Vitro 2002;16:299-317
   PubMed Web of Science ®Google Scholar
• Magnusson BM, Anissimov YG, Cross SE, et al. Molecular size as the main determinant of solute maximum flux across the skin. J Invest Dermatol 2004;122:993-9
   PubMed Web of Science ®Google Scholar
• Sloan KB, Wasdo SC, Rautio J. Design for optimized topical delivery: prodrugs and a paradigm change. Pharm Res 2006;23:2729-47
   PubMed Web of Science ®Google Scholar
• Zhang Q, Grice JE, Li P, et al. Skin solubility determines maximum transepidermal flux for similar size molecules. Pharm Res 2009;26:1974-85
   PubMed Web of Science ®Google Scholar
• Karadzovska D, Brooks JD, Monteiro-Riviere NA, et al. Predicting skin permeability from complex vehicles. Adv Drug Deliv Rev 2013;65:265-77
   PubMed Web of Science ®Google Scholar
• Fitzpatrick D, Golden D, Corish J. Modeling Skin Permeability in Risk Assessment. In: Roberts MS, Walters KA, editors, Dermal absorption and toxicity assessment. Informa Healthcare, New York; 2008
   Google Scholar
• Crank J. The mathematics of diffusion. 2nd edition. Clarendon Press, Oxford; 1975
   Google Scholar
• Anissimov YG, Roberts MS. Diffusion modeling of percutaneous absorption kinetics: 2. Finite vehicle volume and solvent deposited solids. J Pharm Sci 2001;90:504-20
   PubMed Web of Science ®Google Scholar
• Kasting GB. Kinetics of finite dose absorption through skin 1. Vanillylnonanamide. J Pharm Sci 2001;90:202-12
   PubMed Web of Science ®Google Scholar
• Anissimov YG, Roberts MS. Diffusion modeling of percutaneous absorption kinetics: 1. Effects of flow rate, receptor sampling rate and viable epidermal resistance for a constant donor concentration. J Pharm Sci 1999;88:1201-9
   PubMed Web of Science ®Google Scholar
• Anissimov YG, Watkinson A. Modelling skin penetration using the laplace transform technique. Skin Pharmacol Physiol 2013;26:286-94
   PubMed Web of Science ®Google Scholar
• Carslaw HS, Jaeger JC. Conduction of heat in solids. 2nd edition. Clarendon Press, Oxford; 1959
   Google Scholar
• Hadgraft J. The epidermal reservoir: a theoretical approach. Int J Pharm 1979;2:265-74
   Web of Science ®Google Scholar
• Cleek RL, Bunge AL. A new method for estimating dermal absorption from chemical exposure. 1. General approach. Pharm Res 1993;10:497-506
   PubMed Web of Science ®Google Scholar
• Seko N, Bando H, Lim CW, et al. Theoretical analysis of the effect of cutaneous metabolism on skin permeation of parabens based on a two-layer skin diffusion/metabolism model. Biol Pharm Bull 1999;22:281-7
   PubMed Web of Science ®Google Scholar
• Dedrick RL, Flessner MF, Collins JM, et al. Is the peritoneum a membrane? ASAIO J 1982;5:1-8
   Google Scholar
• Gupta E, Wientjes MG, Au JL. Penetration kinetics of 2',3'-dideoxyinosine in dermis is described by the distributed model. Pharm Res 1995;12:108-12
   PubMed Web of Science ®Google Scholar
• Cross SE, Roberts MS. Defining a model to predict the distribution of topically applied growth factors and other solutes in excisional full-thickness wounds. J Invest Dermatol 1999;112:36-41
   PubMed Web of Science ®Google Scholar
• Kretsos K, Kasting GB, Nitsche JM. Distributed diffusion-clearance model for transient drug distribution within the skin. J Pharm Sci 2004;93:2820
   PubMed Web of Science ®Google Scholar
• Singh P, Roberts MS. Iontophoretic transdermal delivery of salicylic acid and lidocaine to local subcutaneous structures. J Pharm Sci 1993;82:127-31
   PubMed Web of Science ®Google Scholar
• Anissimov YG, Roberts MS. Modelling dermal drug distribution after topical application in human. Pharm Res 2011;28:2119-29
   PubMed Web of Science ®Google Scholar
• Kretsos K, Miller MA, Zamora-Estrada G, et al. Partitioning, diffusivity and clearance of skin permeants in mammalian dermis. Int J Pharm 2008;346:64-79
   PubMed Web of Science ®Google Scholar
• Schaefer H, Stuttgen G. Absolute concentrations of an antimycotic agent, econazole, in the human skin after local application. Arzneimittelforschung 1976;26:432-5
   PubMed Web of Science ®Google Scholar
• Schaefer H, Zesch A. Penetration of vitamin A acid into human skin. Acta Derm Venereol Suppl (Stockh) 1975;74:50-5
   PubMedGoogle Scholar
• Schaefer H, Zesch A, Stuttgen G. Penetration, permeation, and absorption of triamcinolone acetonide in normal and psoriatic skin. Arch Dermatol Res 1977;258:241-9
   PubMed Web of Science ®Google Scholar
• Schaefer H, Stuttgen G, Zesch A, et al. Quantitative determination of percutaneous absorption of radiolabeled drugs in vitro and in vivo by human skin. Curr Probl Dermatol 1978;7:80-94
   PubMedGoogle Scholar
• Zesch A, Schaefer H. [Penetration of radioactive hydrocortisone in human skin from various ointment bases. II. In vivo-experiments (author's transl)]. Arch Dermatol Forsch 1975;252:245-56
   PubMedGoogle Scholar
• Dancik Y, Anissimov YG, Jepps OG, et al. Convective transport of highly plasma protein bound drugs facilitates direct penetration into deep tissues after topical application. Br J Clin Pharmacol 2012;73:564-78
   PubMed Web of Science ®Google Scholar
• Roberts MS, Rowland M. A dispersion model of hepatic elimination: 1. Formulation of the model and bolus considerations. J Pharmacokinet Biopharm 1986;14:227-60
   PubMedGoogle Scholar
• Anissimov YG, Bracken AJ, Roberts MS. Interconnected-tubes model of hepatic elimination. J Theor Biol 1997;188:89-101
   PubMed Web of Science ®Google Scholar
• Chilcott RP, Barai N, Beezer AE, et al. Inter- and intralaboratory variation of in vitro diffusion cell measurements: an international multicenter study using quasi-standardized methods and materials. J Pharm Sci 2005;94:632-8
   PubMed Web of Science ®Google Scholar