Concentration-flux relations for a multicellular biological membrane with Metabolism

Journal Article · Sat May 01 00:00:00 EDT 1993 · Mathematical Biosciences; (United States)

DOI:https://doi.org/10.1016/0025-5564(93)90048-F· OSTI ID:6238099

Auton, T R ^[1]

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1. ICI Central Toxicology Laboratory, Cheshire (United Kingdom)

A mathematical model is described for the simultaneous diffusion and metabolism of a chemical penetrating a multicellular biological membrane such as skin. Metabolism is assumed to follow saturable Michaelis-Menten kinetics, which leads to nonlinear relationships between the applied concentration and the metabolic and diffusive fluxes through the membrane. Approximate concentration flux relations are derived under limiting conditions, and a computational method is described for the general case. The major barrier to dermal penetration of very lipophilic molecules is thought to be the viable tissues (viable epidermis and some of the dermis) underlying the stratum corneum, and some molecules are known to be metabolized by enzymes within these tissues. It is proposed to use the model to describe penetration and metabolism os such lipophilic molecules within the viable tissues of the skin. 16 refs., 4 figs.

• OSTI ID: 6238099
• Journal Information: Mathematical Biosciences; (United States), Vol. 115:1; ISSN 0025-5564
• Country of Publication: United States
• Language: English

Related Subjects

63 RADIATION, THERMAL, AND OTHER ENVIRON. POLLUTANT EFFECTS ON LIVING ORGS. AND BIOL. MAT.
CELL MEMBRANES
PERMEABILITY
DIFFUSION
MATHEMATICAL MODELS
METABOLISM
MOLECULES
ALGORITHMS
BIOCHEMICAL REACTION KINETICS
CALCULATION METHODS
ENZYMES
EPIDERMIS
HAZARDOUS MATERIALS
NONLINEAR PROBLEMS
SKIN
TOXIC MATERIALS
ANIMAL TISSUES
BODY
CELL CONSTITUENTS
EPITHELIUM
KINETICS
MATERIALS
MATHEMATICAL LOGIC
MEMBRANES
ORGANIC COMPOUNDS
ORGANS
PROTEINS
REACTION KINETICS
TISSUES
560300* - Chemicals Metabolism & Toxicology