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| 24 |  |  | \begin{document} | 
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| 40 | xsun | 3336 | \frontmatter | 
| 41 |  |  |  | 
| 42 |  |  | \work{Dissertation}  % Change to ``Thesis'' for Master's thesis | 
| 43 | xsun | 3360 | \title{ALGORITHMS FOR MODELING THE DYNAMICS AND PHASE TRANSITIONS OF LIPID BILAYERS} | 
| 44 | xsun | 3336 | \author{Xiuquan Sun} | 
| 45 |  |  | \degprior{B.S., M.S.}                 % All previously earned degrees | 
| 46 |  |  | \degaward{Doctor of Philosophy}  % What this paper is for | 
| 47 |  |  | \advisor{J. Daniel Gezelter} % supervisor/director/advisor | 
| 48 |  |  | %% \advisorB{}            % second supervisor/director/advisor (if present) | 
| 49 |  |  | \department{Chemistry and Biochemistry}      % Dept. granting the degree | 
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| 51 |  |  | \maketitle                % Uncomment to get the title page printed out | 
| 52 |  |  | %% \copypage              % Uncomment if you want a copyright page | 
| 53 |  |  | \begin{abstract} | 
| 54 |  |  |  | 
| 55 | xsun | 3361 | I present a dissertation concerning the structural properties and | 
| 56 | xsun | 3383 | 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 | xsun | 3361 |  | 
| 69 | xsun | 3336 | \end{abstract} | 
| 70 |  |  |  | 
| 71 |  |  | \begin{dedication} | 
| 72 |  |  |  | 
| 73 | xsun | 3376 | To my wife, for her unconditional support, and to my family, for | 
| 74 |  |  | providing inspiration and happiness. | 
| 75 | xsun | 3336 |  | 
| 76 |  |  | \end{dedication} | 
| 77 |  |  |  | 
| 78 |  |  | \tableofcontents | 
| 79 |  |  | \listoffigures          % If you don't have any figures or tables, comment | 
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| 82 | xsun | 3336 |  | 
| 83 |  |  | \begin{acknowledge}    % acknowledgments go here | 
| 84 |  |  |  | 
| 85 | xsun | 3360 | I would like to thank my advisor, J.~Daniel Gezelter, who guided me | 
| 86 |  |  | into the field of my interests, helped me complete all of the work | 
| 87 |  |  | with his great patience and broad knowledge. I am also grateful to my | 
| 88 |  |  | colleagues Teng Lin, Charles F.~Vardeman II, Shenyu Kuang, Chunlei Li, | 
| 89 |  |  | Christie Puglis, Patrick Holvey, Matthew A.~Meineke, Christopher | 
| 90 |  |  | J.~Fennell, Yang Zheng, Kyle Daily, Kyle S.~Haygarth, Jennifer Morton, | 
| 91 | xsun | 3376 | who were always here for technical support and helpful suggestions. I | 
| 92 | xsun | 3383 | 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 | xsun | 3336 |  | 
| 100 |  |  | \end{acknowledge} | 
| 101 |  |  |  | 
| 102 |  |  | \mainmatter | 
| 103 |  |  |  | 
| 104 |  |  | %\include{Introduction} | 
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| 108 |  |  | %\include{Conclusion} | 
| 109 |  |  | %\include{Appendix} | 
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| 111 |  |  |  |