Finite dose percutaneous drug absorption: a BASIC program for the solution of the diffusion equation. 1991

K Kubota
Division of Clinical Pharmacology, National Medical Center, Tokyo, Japan.

A BASIC program to obtain the solution for the diffusion equation describing the finite dose percutaneous absorption pharmacokinetics is shown. Drug amount in the solution matrix, Av, that in the skin which is regarded as a simple diffusion membrane. As, and the drug flux from the skin which is provided by the local circulation per unit area, J, and the blood drug concentration. C, expressed as functions of time are obtained using Fourier series. Usually, a small number (less than 10) of series is enough to obtain the accurate values for Av, As, J, and C. It is also shown that the solution of the diffusion equation reported previously for the specific case where both the diffusion coefficient of a drug through the vehicle and skin-capillary clearance are very large is expressed as a limit.

UI MeSH Term Description Entries
D008954 Models, Biological Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment. Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D010599 Pharmacokinetics Dynamic and kinetic mechanisms of exogenous chemical DRUG LIBERATION; ABSORPTION; BIOLOGICAL TRANSPORT; TISSUE DISTRIBUTION; BIOTRANSFORMATION; elimination; and DRUG TOXICITY as a function of dosage, and rate of METABOLISM. LADMER, ADME and ADMET are abbreviations for liberation, absorption, distribution, metabolism, elimination, and toxicology. ADME,ADME-Tox,ADMET,Absorption, Distribution, Metabolism, Elimination, and Toxicology,Absorption, Distribution, Metabolism, and Elimination,Drug Kinetics,Kinetics, Drug,LADMER,Liberation, Absorption, Distribution, Metabolism, Elimination, and Response
D011381 Programming Languages Specific languages used to prepare computer programs. Language, Programming,Languages, Programming,Programming Language
D003198 Computer Simulation Computer-based representation of physical systems and phenomena such as chemical processes. Computational Modeling,Computational Modelling,Computer Models,In silico Modeling,In silico Models,In silico Simulation,Models, Computer,Computerized Models,Computer Model,Computer Simulations,Computerized Model,In silico Model,Model, Computer,Model, Computerized,Model, In silico,Modeling, Computational,Modeling, In silico,Modelling, Computational,Simulation, Computer,Simulation, In silico,Simulations, Computer
D004058 Diffusion The tendency of a gas or solute to pass from a point of higher pressure or concentration to a point of lower pressure or concentration and to distribute itself throughout the available space. Diffusion, especially FACILITATED DIFFUSION, is a major mechanism of BIOLOGICAL TRANSPORT. Diffusions
D005996 Nitroglycerin A volatile vasodilator which relieves ANGINA PECTORIS by stimulating GUANYLATE CYCLASE and lowering cytosolic calcium. It is also sometimes used for TOCOLYSIS and explosives. Glyceryl Trinitrate,Anginine,Dynamite,Gilustenon,Nitrangin,Nitro-Bid,Nitro-Dur,Nitrocard,Nitroderm,Nitroderm TTS,Nitroglyn,Nitrol,Nitrolan,Nitrong,Nitrospan,Nitrostat,Perlinganit,Susadrin,Sustac,Sustak,Sustonit,Transderm Nitro,Tridil,Trinitrin,Trinitrolong,Nitro Bid,Nitro Dur,NitroBid,NitroDur,Trinitrate, Glyceryl
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D000279 Administration, Cutaneous The application of suitable drug dosage forms to the skin for either local or systemic effects. Cutaneous Drug Administration,Dermal Drug Administration,Drug Administration, Dermal,Percutaneous Administration,Skin Drug Administration,Transcutaneous Administration,Transdermal Administration,Administration, Dermal,Administration, Transcutaneous,Administration, Transdermal,Cutaneous Administration,Cutaneous Administration, Drug,Dermal Administration,Drug Administration, Cutaneous,Skin Administration, Drug,Administration, Cutaneous Drug,Administration, Dermal Drug,Administration, Percutaneous,Administrations, Cutaneous,Administrations, Cutaneous Drug,Administrations, Dermal,Administrations, Dermal Drug,Administrations, Percutaneous,Administrations, Transcutaneous,Administrations, Transdermal,Cutaneous Administrations,Cutaneous Administrations, Drug,Cutaneous Drug Administrations,Dermal Administrations,Dermal Drug Administrations,Drug Administrations, Cutaneous,Drug Administrations, Dermal,Drug Skin Administrations,Percutaneous Administrations,Skin Administrations, Drug,Skin Drug Administrations,Transcutaneous Administrations,Transdermal Administrations
D000818 Animals Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA. Animal,Metazoa,Animalia
D012869 Skin Absorption Uptake of substances through the SKIN. Absorption, Skin,Intracutaneous Absorption,Intradermal Absorption,Percutaneous Absorption,Transcutaneous Absorption,Transdermal Absorption,Absorption, Intracutaneous,Absorption, Intradermal,Absorption, Percutaneous,Absorption, Transcutaneous,Absorption, Transdermal,Absorptions, Intracutaneous,Absorptions, Intradermal,Absorptions, Percutaneous,Absorptions, Skin,Absorptions, Transcutaneous,Absorptions, Transdermal,Intracutaneous Absorptions,Intradermal Absorptions,Percutaneous Absorptions,Skin Absorptions,Transcutaneous Absorptions,Transdermal Absorptions

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