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# Line 14 | Line 14 | in figure~\ref{Infig:lipid}.
14   \begin{figure}
15   \centering
16   \includegraphics[width=\linewidth]{./figures/inLipid.pdf}
17 < \caption{The chemical structure of glycerophospholipids (left) and
18 < sphingophospholipids (right).\cite{Cevc80}}
17 > \caption[The chemical structure of lipids]{The chemical structure of
18 > glycerophospholipids (left) and sphingophospholipids
19 > (right).\cite{Cevc80}}
20   \label{Infig:lipid}
21   \end{figure}
22   Glycerophospholipids are the dominant phospholipids in biological
# Line 30 | Line 31 | chains.
31   \begin{table*}
32   \begin{minipage}{\linewidth}
33   \begin{center}
34 < \caption{A number types of phosphatidycholine.}
34 > \caption{A NUMBER TYPES OF PHOSPHATIDYCHOLINE}
35   \begin{tabular}{lll}
36   \hline
37    & Fatty acid & Generic Name \\
# Line 45 | Line 46 | chains.
46   \end{center}
47   \end{minipage}
48   \end{table*}
49 < When dispersed in water, lipids self assemble into a mumber of
49 > When dispersed in water, lipids self assemble into a number of
50   topologically distinct bilayer structures. The phase behavior of lipid
51   bilayers has been explored experimentally~\cite{Cevc80}, however, a
52   complete understanding of the mechanism and driving forces behind the
# Line 60 | Line 61 | figure~\ref{Infig:phaseDiagram}.~\cite{Cevc80}
61   \begin{figure}
62   \centering
63   \includegraphics[width=\linewidth]{./figures/inPhaseDiagram.pdf}
64 < \caption{Phases of PC lipid bilayers. With increasing
65 < temperature, phosphotidylcholine (PC) bilayers can go through
66 < $L_{\beta'} \rightarrow P_{\beta'}$ (gel $\rightarrow$ ripple) and
67 < $P_{\beta'} \rightarrow L_\alpha$ (ripple $\rightarrow$ fluid) phase
68 < transitions.~\cite{Cevc80}}
64 > \caption[Phases of PC lipid bilayers]{Phases of PC lipid
65 > bilayers. With increasing temperature, phosphotidylcholine (PC)
66 > bilayers can go through $L_{\beta'} \rightarrow P_{\beta'}$ (gel
67 > $\rightarrow$ ripple) and $P_{\beta'} \rightarrow L_\alpha$ (ripple
68 > $\rightarrow$ fluid) phase transitions.~\cite{Cevc80}}
69   \label{Infig:phaseDiagram}
70   \end{figure}
71   Most structural information about the ripple phase has been obtained
# Line 79 | Line 80 | mica.~\cite{Kaasgaard03}
80   \begin{figure}
81   \centering
82   \includegraphics[width=\linewidth]{./figures/inRipple.pdf}
83 < \caption{Experimental observations of the riple phase. The top image
84 < is an electrostatic density map obtained by Sun {\it et al.} using
85 < X-ray diffraction~\cite{Sun96}.  The lower figures are the surface
86 < topology of various ripple domains in bilayers supported in mica. The
87 < AFM images were observed by Kaasgaard {\it et
88 < al.}.~\cite{Kaasgaard03}}
83 > \caption[Experimental observations of the riple phase]{Experimental
84 > observations of the riple phase. The top image is an electrostatic
85 > density map obtained by Sun {\it et al.} using X-ray
86 > diffraction~\cite{Sun96}.  The lower figures are the surface topology
87 > of various ripple domains in bilayers supported in mica. The AFM
88 > images were observed by Kaasgaard {\it et al.}.~\cite{Kaasgaard03}}
89   \label{Infig:ripple}
90   \end{figure}
91   Figure~\ref{Infig:ripple} shows the ripple phase oberved by both X-ray
# Line 97 | Line 98 | never been elucidated by experiments. Computational si
98   physical mechanism for the formation of the ripple phase has never
99   been explained and the microscopic structure of the ripple phase has
100   never been elucidated by experiments. Computational simulation is a
101 < perfect tool to study the microscopic properties for a
101 > very good tool to study the microscopic properties for a
102   system. However, the large length scale of the ripple structures and
103   the long time required for the formation of the ripples are crucial
104   obstacles to performing the actual work. The principal ideas explored
# Line 136 | Line 137 | anti-aligned structure.
137   \begin{figure}
138   \centering
139   \includegraphics[width=3in]{./figures/inFrustration.pdf}
140 < \caption{Frustration on triangular lattice, the spins and dipoles are
141 < represented by arrows. The multiple local minima of energy states
142 < induce frustration for spins and dipoles resulting in disordered
143 < low-temperature phases.}
140 > \caption[Frustration on triangular lattice]{Frustration on triangular
141 > lattice, the spins and dipoles are represented by arrows. The multiple
142 > local minima of energy states induce frustration for spins and dipoles
143 > resulting in disordered low-temperature phases.}
144   \label{Infig:frustration}
145   \end{figure}
146   The spins in figure~\ref{Infig:frustration} illustrate frustration for

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