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# Line 53 | Line 53 | I present a dissertation concerning the structural pro
53   \begin{abstract}
54  
55   I present a dissertation concerning the structural properties and
56 < phase behavior of lipid bilayers. At first, I investigated the system
57 < by using Monte Carlo simulations on a simple dipolar membrane
58 < model. Secondly, to obtain the dynamical properties of the ripple
59 < phase of lipid membranes, molecular dynamics simulations were
60 < performed on a more realistic molecular-scale lipid model. Finally, an
61 < algorithm of Langevin dynamics was developed to investigate the ripple
62 < phase in an implicit solvent environment.
56 > phase behavior of lipid bilayers. The $P_{\beta'}$ ripple phase,
57 > named for the periodic buckling of the membrane, is an thermotropic
58 > phase which develops either from heating the gel phase ($L_{\beta'}$)
59 > or cooling the fluid phase ($L_\alpha$). This phase typically exhibits
60 > surface buckling with wavelengths of $100-250$ \AA~and amplitudes of
61 > $10-50$ \AA. At first, I investigated the system by using Monte Carlo
62 > simulations on a simple dipolar membrane model. Secondly, to obtain
63 > the dynamical properties of the ripple phase of lipid membranes,
64 > molecular dynamics simulations were performed on a more realistic
65 > molecular-scale lipid model. Finally, an algorithm of Langevin
66 > dynamics was developed to investigate the ripple phase in an implicit
67 > solvent environment.
68  
69   \end{abstract}
70  
# Line 84 | Line 89 | who were always here for technical support and helpful
89   Christie Puglis, Patrick Holvey, Matthew A.~Meineke, Christopher
90   J.~Fennell, Yang Zheng, Kyle Daily, Kyle S.~Haygarth, Jennifer Morton,
91   who were always here for technical support and helpful suggestions. I
92 < would also like to thank the members in my advisory commitee, Dennis
93 < C.~Jacobs, Gregory V.~Hartland, and S.~Alex Kandel for their
94 < disscusion and review of my dissertation. I would also like to thank
95 < Dr.~Steven Corcelli for the useful comments. Finally, I would like to
96 < thank my family: my father, Jianguo Sun, and my mother, Yumei Lin, for
97 < their understanding and support on the distant side of the world. And
98 < my wife, Yingxin, this dissertation could not have been finished
94 < without her love.
92 > would also like to thank the members in my advisory commitee, Gregory
93 > V.~Hartland, S.~Alex Kandel, Steven Corcelli, and Dennis C.~Jacobs for
94 > their disscusion and review of my dissertation. Finally, I would like
95 > to thank my family: my father, Jianguo Sun, and my mother, Yumei Lin,
96 > for their understanding and support on the distant side of the
97 > world. And my wife, Yingxin, this dissertation could not have been
98 > finished without her love.
99  
100   \end{acknowledge}
101  

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