Drug diffusion across skin with diffusivity spatially modulated

Isabel Montoya Arroyave

doi:10.1117/12.2049766

22 May 2014 Drug diffusion across skin with diffusivity spatially modulated

Isabel Montoya Arroyave

Proceedings Volume 9107, Smart Biomedical and Physiological Sensor Technology XI; 91071F (2014) https://doi.org/10.1117/12.2049766
Event: SPIE Sensing Technology + Applications, 2014, Baltimore, MD, United States

Abstract

A diffusion and delivery model of a drug across the skin with diffusivity spatially modulated is formulated and solved analytically using computer algebra. The model is developed using one-dimensional diffusion equation with a diffusivity which is a function of position in the skin; with an initial condition which is describing that the drug is initially contained inside a therapeutic patch; with a boundary condition according to which the change in concentration in the patch is minimal, such that assumption of zero flux at the patch-skin interface is valid; and with other boundary condition according to which the microcirculation in the capillaries just below the dermis carries the drug molecules away from the site at a very fast rate, maintaining the inner concentration at 0. The model is solved analytically by the method of the Laplace transform, with Bromwich integral and residue theorem. The concentration profile of the drug in the skin is expressed as an infinite series of Bessel functions. The corresponding total amount of delivered drug is expressed as an infinite series of decreasing exponentials. Also, the corresponding effective time for the therapeutic patch is determined. All computations were performed using computer algebra software, specifically Maple. The analytical results obtained are important for understanding and improving currentapplications of therapeutic patches. For future research it is interesting to consider more general models of spatial modulation of the diffusivity and the possible application of other computer algebra software such as Mathematica and Maxima.

Citation Download Citation

Isabel Montoya Arroyave "Drug diffusion across skin with diffusivity spatially modulated", Proc. SPIE 9107, Smart Biomedical and Physiological Sensor Technology XI, 91071F (22 May 2014); https://doi.org/10.1117/12.2049766

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
14 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Skin

Diffusion

Modulation

Mathematical modeling

Bessel functions

Capillaries

Integral transforms

Show All Keywords

Keywords/Phrases

Search In:

Publication Years