A nonlinear electroporation (EP) model is proposed to study the electro-mechanobiological behavior of cell membrane during EP, by taking the nonlinear large deformation of the membrane into account. The proposed model predicts the critical transmembrane potential and the activation energy for EP, the equilibrium pore size, and the resealing process of the pore. Single-cell EP experiments using a micro EP chip were conducted on chicken red blood cells at different temperatures to determine the activation energy and the critical transmembrane potential for EP. The experimental results are in good agreement with the theoretical predictions.
REFERENCES
1.
E.
Neumann
and K.
Rosenheck
, J. Membr. Biol.
10
, 279
(1972
).2.
D. C.
Chang
, B. M.
Chassy
, and J. A.
Saunders
, Guide to Electroporation and Electrofusion
(Academic, San Diego
, 1992
).3.
D. C.
Chang
and T. S.
Reese
, Biophys. J.
58
, 1
(1990
).4.
H.
Aranda-Espinoza
, H.
Bermudez
, and F. S.
Bates
, Phys. Rev. Lett.
87
(20
), 208301
(2001
).5.
L. F.
Cima
, and L. M.
Mir
, Appl. Phys. Lett.
85
, 4520
(2004
).6.
T.
Griese
, S.
Kakorin
, and E.
Neumann
, Phys. Chem. Chem. Phys.
4
, 1217
(2002
).7.
U.
Zimmermann
, Biochim. Biophys. Acta
694
, 227
(1982
).8.
E.
Neumann
, M.
Schaefer-Ridder
, and Y.
Wang
, EMBO J.
1
(7
), 841
–845
(1982
).9.
R.
Heller
, Science
295
, 277
(2002
).10.
J.
Eyckmans
, T.
Boudou
, and X.
Yu
, Dev. Cell
21
(1
), 35
–47
(2011
).11.
I. G.
Abidor
, V. B.
Arakelyan
, and L. V.
Chernomordik
, Bioelectrochem. Bioenerg.
6
(1
), 37
–52
(1979
).12.
J. C.
Weaver
and R. A.
Mintzer
, Phys. Lett. A
86
, 57
(1981
).13.
J. C.
Neu
and W.
Krassowska
, Phys. Rev. E
59
, 3471
(1999
).14.
A.
Barnett
and J. C.
Weaver
, Bioelectrochem. Bioenerg.
25
, 163
(1991
).15.
D. S.
Dimitrov
, R.
Lipowsky
, and E.
Sackmann
, in Structure and Dynamics of Membranes, Handbook of Biological Physics
, edited by R.
Lipowsky
and E.
Sackmann
(Elsevier Science
, Amsterdam
, 1995
), pp. 851
.16.
R. W.
Glaser
, S. L.
Leikin
, and L. V.
Chernomordik
, Biochim. Biophys. Acta
940
(2
), 275
–287
(1988
).17.
18.
C.
Bae
and P.
Butler
, Biomech. Model. Mechanobiol.
7
, 379
(2008
).19.
C. T.
Lim
, M.
Dao
, and S.
Suresh
, Acta Mater.
52
, 1837
(2004
).20.
K. B.
Chandran
, H. S.
Udaykumar
, and J. M.
Reinhardt
, Image-Based Computational Modeling of the Human Circulatory and Pulmonary Systems: Methods and Applications
(Springer
, Boston
, 2010
).21.
22.
T. L.
Steck
, J. Cell Biol.
62
, 1
(1974
).23.
S.
Sun
, G.
Yin
, Y.-K.
Lee
, and T. Y.
Zhang
, Biochem. Biophys. Res. Commun.
404
, 684
(2011
).24.
25.
R. M.
Hochmuth
and N.
Mohandas
, J. Biomech.
5
, 501
(1972
).26.
S. A.
Freeman
, M. A.
Wang
, and J. C.
Weaver
, Biophys. J.
67
, 42
(1994
).27.
P.
Deng
, G.
Yin
, T. Y.
Zhang
, and Y.-K.
Lee
, in The 5th Annual IEEE International Conference on Nano/Micro Engineered and Molecular Systems (IEEE-NEMS 2010)
(IEEE, Xiamen, China, 2010
)
, p. 595
.28.
H.
He
, D. C.
Chang
, and Y.-K.
Lee
, Bioelectrochemistry
70
, 363
(2007
).29.
H.
He
, D. C.
Chang
, and Y.-K.
Lee
, in The 4th IEEE International Conference on Nano/Micro Engineered and Molecular Systems (IEEE NEMS 2009)
(IEEE
, Shenzhen, China
, 2009
), p. 28
.30.
P.
Deng
, J.
Zhou
, G.
Li
, D. C.
Chang
, and Y.-K.
Lee
, in 6th IEEE International Conference on Nano/Micro Engineered and Molecular Systems (IEEE NEMS ’11)
(IEEE, Kaohsiung, Taiwan, 2011
), p. 98
.31.
See supplementary material at http://dx.doi.org/10.1063/1.4739940 for the supplementary videoclip showing a sequence of the strain energy levels as a function of the radius of EP pore and the corresponding pore expansion results from the nonlinear FE analysis.
© 2012 American Institute of Physics.
2012
American Institute of Physics
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