A model of solute transport through stratum corneum using solute capture and release

Mollee, T. R. and Bracken, A. J. (2007) A model of solute transport through stratum corneum using solute capture and release. Bulletin of Mathematical Biology, 69 6: 1887-1907.


Author(s) Mollee, T. R.
Bracken, A. J.
Title A model of solute transport through stratum corneum using solute capture and release
Journal name Bulletin of Mathematical Biology
Publication date 2007
Sub-type Article
Volume number 69
Issue number 6
ISSN 0092-8240
Start page 1887
End page 1907
Total pages 21
Editor(s) Maini, P. K.
Place of publication New York, United States
Publisher Springer
Collection year 2008
Language eng
Subject 239901 Biological Mathematics
C1
780101 Mathematical sciences
Abstract A one-dimensional model of solute transport through the stratum corneum is presented. Solute is assumed to diffuse through lipid bi-layers surrounding impermeable corneocytes. Transverse diffusion (perpendicular to the skin surface) through lipids separating adjacent corneocytes, is modeled in the usual way. Longitudinal diffusion (parallel to the skin surface) through lipids between corneocyte layers, is modeled as temporary trapping of solute, with subsequent release in the transverse direction. This leads to a linear equation for one-dimensional transport in the transverse direction. The model involves an arbitrary function whose precise form is uncertain. For a specific choice of this function, closed form expressions for the Laplace transform of solute out-flux at the inner boundary, and for the time lag are obtained in the case that a constant solute concentration is maintained at the outer skin surface, with the inner boundary of the stratum corneum kept at zero concentration, and with the stratum corneum initially free of solute.
Keyword(s) Biology
 
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http://dx.doi.org/10.1007/s11538-007-9197-x  
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