A simulation of percutaneous drug absorption is given using the random walk method. The focus in the simulation is the diffusion process of the drug molecules from vehicle to stratum corneum membrane and then to blood vessels where the drug will be absorbed efficiently into the body. The diffusion process will be modelled as a Brownian random motion, where the diffusivity coefficients depend on the kinetical aspects of the drug molecules inside the vehicle and membrane.
REFERENCES
1.
Naegel
A
, Heisig
M
and Wittum
G
2013
Detailed modeling of skin penetration-An overview
Adv. Drug Deliv. Rev.
65
191
–207
2.
Sugibayashi
K
2017
Skin Permeation and Disposition of Therapeutic and Cosmeceutical Compounds ed K
Sugibayashi
(Tokyo
: Springer Japan
)3.
Frasch
H F
and Barbero
A M
2013
Application of numerical methods for diffusion-based modeling of skin permeation
Adv. Drug Deliv. Rev.
65
208
–20
4.
Frasch
H F
2002
A random walk model of skin permeation
Risk Anal.
22
265
–76
5.
Kubota
K
, Koyama
E
and Yasuda
K
1991
A Random Walk Method for Percutaneous Drug Absorption Pharmacokinetics: Application to Repeated Administration of a Therapeutic Timolol Patch
J. Pharm. Sci.
80
752
–6
6.
Safdari
A
and Kim
K C
2019
Lattice Boltzmann model of percutaneous drug absorption
Theor. Appl. Mech. Lett.
9
1
–6
7.
Simon
L
2007
Repeated applications of a transdermal patch: Analytical solution and optimal control of the delivery rate
Math. Biosci.
209
593
–607
8.
Kubota
K
, Dey
F
, Matar
S A
and Twizell
E H
2002
A repeated-dose model of percutaneous drug absorption
Appl. Math. Model.
26
529
–44
9.
Berg
H C
1993
Random Walks in Biology (Princeton
: Princeton University Press
)10.
Scheuplein
R J
, Blank
I H
, Brauner
G J
and MacFarlane
D J
1969
Percutaneous absorption of steroids
. J. Invest. Dermatol.
52
63
–70
11.
Scheuplein
R J
and Blank
I H
1971
Permeability of the skin
Physiol. Rev.
51
702
–47
12.
Scheuplein
R J
1976
Percutaneous absorption after twenty five years: or “old wine in new wineskins
” J. Invest. Dermatol.
67
31
–8
13.
Kubota
K
and Ishizaki
T
1986
A calculation of percutaneous drug absorption-II. Computation results
Comput. Biol. Med.
16
21
–37
14.
Roberts
M S
, Anissimov
Y G
and Gonsalvez
R A
2001
Mathematical models in percutaneous absorption
J. Toxicol. - Cutan. Ocul. Toxicol.
20
221
–70
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