Electroporation is an approach used to enhance transdermal transport of large molecules in which the skin is exposed to a series of electric pulses. Electroporation temporarily destabilizes the structure of the outer skin layer, the stratum corneum, by creating microscopic pores through which agents, ordinarily unable to pass into the skin, are able to pass through this outer barrier. Long duration electroporation pulses can cause localized temperature rises, which result in thermotropic phase transitions within the lipid bilayer matrix of the stratum corneum. This paper focuses on electroporation pore development resulting from localized Joule heating. This study presents a theoretical model of electroporation, which incorporates stratum corneum lipid melting with electrical and thermal energy equations. A transient finite volume model is developed representing electroporation of in vivo human skin, in which stratum corneum lipid phase transitions are modeled as a series of melting processes. The results confirm that applied voltage to the skin results in high current densities within the less resistive regions of the stratum corneum. The model captures highly localized Joule heating within the stratum corneum and subsequent temperature rises, which propagate radially outward. Electroporation pore development resulting from the decrease in resistance associated with lipid melting is captured by the lipid phase transition model. As the effective pore radius grows, current density and subsequent Joule heating values decrease.

1.
Madison
,
K. C.
, 2003, “
Barrier Function of the Skin: “La Raison d’Être” of the Epidermis
,”
J. Invest. Dermatol.
0022-202X,
121
(
2
), pp.
231
241
.
2.
Bouwstra
,
J. A.
,
Honeywell-Nguyen
,
P. L.
,
Gooris
,
G. S.
, and
Ponec
,
M.
, 2003, “
Structure of the Skin Barrier and Its Modulation by Vesticular Formulations
,”
Prog. Lipid Res.
0163-7827,
42
, pp.
1
36
.
3.
Pliquett
,
U. F.
, and
Gusbeth
,
C. A.
, 2000, “
Perturbation of Human Skin Due to Application of High Voltage
,”
Bioelectrochemistry
1567-5394,
51
, pp.
41
51
.
4.
Prausnitz
,
M. R.
, 1996, “
The Effects of Electric Current Applied to the Skin: A Review for Transdermal Drug Delivery
,”
Adv. Drug Delivery Rev.
0169-409X,
18
, pp.
395
425
.
5.
Pliquett
,
U.
,
Zewert
,
T. E.
,
Chen
,
T.
,
Langer
,
R.
, and
Weaver
,
J. C.
, 1996, “
Imaging of Fluorescent Molecule and Small Ion Transport Through Human Stratum Corneum During High Voltage Pulsing: Localized Transport Regions are Involved
,”
Biophys. Chem.
0301-4622,
58
, pp.
185
204
.
6.
Prausnitz
,
M. R.
, 1996, “
Do High Voltage Pulses Cause Changes in Skin Structure?
,”
J. Controlled Release
0168-3659,
40
, pp.
321
326
.
7.
Pliquett
,
U.
,
Langer
,
R.
, and
Weaver
,
J. C.
, 1995, “
Changes in the Passive Electrical Properties of Human Stratum Corneum Due to Electroporation
,”
Biochim. Biophys. Acta
0006-3002,
1239
, pp.
111
121
.
8.
Vanbever
,
R.
, and
Preat
,
V.
, 1999, “
In Vivo Efficacy and Safety of Skin Electroporation
,”
Adv. Drug Delivery Rev.
0169-409X,
35
, pp.
77
88
.
9.
Pliquett
,
U.
, 1999, “
Mechanistic Studies of Molecular Transdermal Transport Due to Skin Electroporation
,”
Adv. Drug Delivery Rev.
0169-409X,
35
, pp.
41
60
.
10.
Golden
,
G. M.
,
Guzek
,
D. B.
,
Harris
,
R. R.
,
Mckie
,
J. E.
, and
Potts
,
R. O.
, 1986, “
Lipid Thermotropic Transitions in Human Stratum Corneum
,”
J. Invest. Dermatol.
0022-202X,
86
, pp.
255
259
.
11.
Golden
,
G. M.
,
Guzek
,
D. B.
,
Kennedy
,
A. H.
,
Mckie
,
J. E.
, and
Potts
,
R. O.
, 1987, “
Stratum Corneum Lipid Phase Transition and Water Barrier Properties
,”
Biochemistry
0006-2960,
26
, pp.
2382
2388
.
12.
Tanojo
,
H.
,
Bouwstra
,
J. A.
,
Junginger
,
H. E.
, and
Bodde
,
H. E.
, 1999, “
Thermal Analysis Studies on Human Skin and Skin Barrier Modulation by Fatty Acids and Propylene Glycol
,”
J. Therm Anal. Calorim.
1418-2874,
57
, pp.
313
322
.
13.
Cornwell
,
P. A.
,
Barry
,
B. W.
,
Bouwstra
,
J. A.
, and
Gooris
,
G. S.
, 1996, “
Modes of Action of Terpene Penetration Enhancers in Human Skin: Differential Scanning Calorimetry, Small Angle X-Ray Diffraction and Enhancer Uptake Studies
,”
Int. J. Pharm.
0378-5173,
127
, pp.
9
26
.
14.
Al-Saidan
,
S. M.
,
Barry
,
B. W.
, and
Williams
,
A. C.
, 1998, “
Differential Scanning Calorimetry of Human and Animal Stratum Corneum Membranes
,”
Int. J. Pharm.
0378-5173,
168
, pp.
17
22
.
15.
Potts
,
R. O.
, and
Francoeur
,
M. L.
, 1990, “
Lipid Biophysics of Water Loss Through the Skin
,”
Proc. Natl. Acad. Sci. U.S.A.
0027-8424,
87
, pp.
3871
3873
.
16.
Denet
,
A. R.
,
Vanbever
,
R.
, and
Préat
,
V.
, 2004, “
Skin Electroporation for Transdermal and Topical Delivery
,”
Adv. Drug Delivery Rev.
0169-409X,
56
(
5
), pp.
659
674
.
17.
Pliquett
,
U. F.
,
Vanbever
,
R.
,
Preat
,
V.
, and
Weaver
,
J. C.
, 1998, “
Local Transport Regions (Ltrs) in Human Stratum Corneum Due to Long and Short ‘High Voltage’ Pulses
,”
Bioelectrochem. Bioenerg.
0302-4598,
47
, pp.
151
161
.
18.
Vanbever
,
R.
,
Pliquett
,
U. F.
,
Preat
,
V.
, and
Weaver
,
J. C.
, 1999, “
Comparison of the Effects of Short, High-Voltage and Long, Medium-Voltage Pulses on Skin Electrical and Transport Properties
,”
J. Controlled Release
0168-3659,
60
, pp.
35
47
.
19.
Pliquett
,
U.
,
Gallo
,
S.
,
Hui
,
S. W.
,
Gusbeth
,
C.
, and
Neumann
,
E.
, 2005, “
Local and Transient Changes in Stratum Corneum at High Electric Fields: Contribution of Joule Heating
,”
Bioelectrochemistry
1567-5394,
67
, pp.
37
46
.
20.
Gallo
,
S. A.
,
Sen
,
A.
,
Hensen
,
M. L.
, and
Hui
,
S. W.
, 2002, “
Temperature-Dependent Electrical and Ultrastructural Characterization of Porcine Skin Upon Electroporation
,”
Biophys. J.
0006-3495,
82
, pp.
109
119
.
21.
Martin
,
G. T.
,
Pliquett
,
U. F.
, and
Weaver
,
J. C.
, 2002, “
Theoretical Analysis of Localized Heating in Human Skin Subjected to High Voltage Pulses
,”
Bioelectrochemistry
1567-5394,
57
, pp.
55
64
.
22.
Millington
,
P. F.
, and
Wilkinson
,
R.
, 1983,
Skin
,
Cambridge University Press
,
Cambridge, UK
.
23.
Hendriks
,
F. M.
,
Brokken
,
D.
,
Oomens
,
C. W. J.
, and
Baaijens
,
F. P. T.
, 2004, “
Influence of Hydration and Experimental Length Scale on the Mechanical Response of Human Skin in Vivo, Using Optical Coherence Tomography
,”
Skin Res. Technol.
0909-752X,
10
, pp.
231
241
.
24.
Pennes
,
H. H.
, 1948, “
Analysis of Tissue and Arterial Blood Temperatures in the Resting Forearm
,”
J. Appl. Physiol.
0021-8987,
1
, pp.
93
122
.
25.
Duck
,
F. A.
, 1990,
Physical Properties of Tissue: A Comprehensive Reference Book
,
Academic
,
London
.
26.
Svaasand
,
L. O.
,
Randeberg
,
L. L.
,
Aguilar
,
G.
,
Majaron
,
B.
,
Kimel
,
S.
,
Lavernia
,
E. J.
, and
Nelson
,
J. S.
, 2003, “
Cooling Efficiency of Cryogen Spray During Laser Therapy of Skin
,”
Lasers Surg. Med.
0196-8092,
32
, pp.
137
142
.
27.
Chato
,
J. C.
, and
Lee
,
R. C.
, 1998, “
The Future of Biothermal Engineering
,”
Ann. N.Y. Acad. Sci.
0077-8923,
858
, pp.
1
20
.
28.
Wilson
,
S. B.
, and
Spence
,
V. A.
, 1988, “
A Tissue Heat Transfer Model for Relating Dynamic Skin Temperature Changes to Physiological Parameters
,”
Phys. Med. Biol.
0031-9155,
33
, pp.
895
912
.
29.
Wainwright
,
P.
, 2000, “
Thermal Effects of Radiation From Cellular Telephones
,”
Phys. Med. Biol.
0031-9155,
45
, pp.
2363
2372
.
30.
Chizmadzhev
,
Y. A.
,
Indenbom
,
A. V.
,
Kuzmin
,
P. I.
,
Galichenko
,
S. V.
,
Weaver
,
J. C.
, and
Potts
,
R. O.
, 1998, “
Electrical Properties of Skin at Moderate Voltages: Contribution of Appendageal Macropores
,”
Biophys. J.
0006-3495,
74
, pp.
843
856
.
31.
Silva
,
C. L.
,
Nunes
,
S. C. C.
,
Eusebio
,
M. E. S.
,
Pais
,
A. A. C. C.
, and
Sousa
,
J. J. S.
, 2006, “
Study of Human Stratum Corneum and Extracted Lipids by Thermomicroscopy and DSC
,”
Chem. Phys. Lipids
0009-3084,
140
, pp.
36
47
.
32.
Silva
,
C. L.
,
Nunes
,
S. C. C.
,
Eusebio
,
M. E. S.
,
Sousa
,
J. J. S.
, and
Pais
,
A. A. C. C.
, 2006, “
Thermal Behaviour of Human Stratum Corneum a Differential Scanning Calorimetry Study at High Scanning Rates
,”
Skin Pharmacol. Physiol.
,
19
(
3
), pp.
132
139
.
33.
White
,
S. H.
,
Mirejovsky
,
D.
, and
King
,
G. I.
, 1988, “
Structure of Lamellar Lipid Domains and Corneocyte Envelopes of Murine Stratum Corneum—An X-Ray-Diffraction Study
,”
Biochemistry
0006-2960,
27
, pp.
3725
3732
.
34.
Voller
,
V. R.
, and
Brent
,
A. D.
, 1989, “
The Modeling of Heat, Mass and Solute Transport in Solidification Systems
,”
Int. J. Heat Mass Transfer
0017-9310,
32
(
9
), pp.
1719
1732
.
35.
Ozisik
,
M. N.
, 1993,
Heat Conduction
,
Wiley
,
New York
.
36.
Bart
,
G. C. J.
, and
Van der Laag
,
P. C.
, 1990, “
Modeling of Arbitrary-Shaped Specific and Latent Heat Curves in Phase-Change Storage Simulation Routines
,”
ASME J. Sol. Energy Eng.
0199-6231,
112
, pp.
29
33
.
37.
Roy
,
S. K.
, and
Avanic
,
B. L.
, 2001, “
Turbulent Heat Transfer With Phase Change Material Suspensions
,”
Int. J. Heat Mass Transfer
0017-9310,
44
, pp.
2277
2285
.
38.
Craane van Hinsberg
,
W. H. M.
,
Verhoef
,
J. C.
,
Junginger
,
H. E.
, and
Bodde
,
H. E.
, 1995, “
Thermoelectrical Analysis of the Human Skin Barrier
,”
Thermochim. Acta
0040-6031,
248
, pp.
303
318
.
39.
Dujardin
,
N.
,
Staes
,
E.
,
Kalia
,
Y.
,
Clarys
,
P.
,
Guy
,
R.
, and
Preat
,
V.
, 2002, “
In Vivo Assessment of Skin Electroporation Using Square Wave Pulses
,”
J. Controlled Release
0168-3659,
79
, pp.
219
227
.
40.
Pliquett
,
U.
, and
Gusbeth
,
C.
, 2004, “
Surface Area Involved in Transdermal Transport of Charged Species Due to Skin Electroporation
,”
Bioelectrochemistry
1567-5394,
65
, pp.
27
32
.
41.
Patankar
,
S. V.
, 1980,
Numerical Heat Transfer and Fluid Flow
,
Hemisphere
,
Washington, DC
.
You do not currently have access to this content.