% This prograpm can be redistributed and/or modified under the terms
% of the GNU Public License, version 3.
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%initial template: Seth Brown, Ph.D.
%
% Adapted by: Anas A Rana 
% 
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% Compiled with XeLaTeX
% Dependencies:
% Fontin Sans font (http://www.exljbris.com/fontinsans.html)
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\documentclass{beamer}
\usepackage{etex}

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\usepackage{pstricks}
\usepackage{pgfplots}
\usetikzlibrary{arrows,automata,shadows,patterns,shapes}
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\usepackage{graphicx} % graphics
\usepackage{epsfig} % eps graphics
\usepackage{hyperref} % urls
\usepackage{booktabs, caption} % table styling
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% see the macros.tex file for definitions
\include{macros}

% title slide definition
\title{Analysing existence of states}
\author{Anas A Rana}
\institute[University of Warwick]
{
Complexity Science \\
University of Warwick \\
NKI-Amsterdam\\
}

\date{\today}

%--------------------------------------------------------------------
%                           Introduction
%--------------------------------------------------------------------

\begin{document}
\setbeamertemplate{background}
{\includegraphics[width=\paperwidth,height=\paperheight]{frontpage_bg}}
\setbeamertemplate{footline}[default]

\begin{frame}
\vspace{2cm}
\begin{columns}
\column{2.75in}
  \titlepage
  \vspace{10cm}
\column{2.0in}
\end{columns}
\end{frame}

\section{Introduction}
%-------------------------------------------------------------------
%                          Section 1
%-------------------------------------------------------------------
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\section{Preliminary findings}
\frame{\frametitle{Identifiability}
  \begin{columns}[t]
    \column{0.45\textwidth}
    \begin{block}{Biological example}
      \begin{itemize}
      \item Two proteins in a system
      \item Antigen that binds to both 
      \item Impossible to tell which one binds
    \end{itemize}
  \end{block}
  \column{0.55\textwidth}
  \begin{block}{Definition}
    \begin{itemize}
    \item Different parameter values correspond to the same model 
    \item Model is unidentifiable 
    \end{itemize}
   \end{block}
 \end{columns}
\vspace{1cm}
\begin{equation*}
\tilde{X}(t)=Pr(\tau>t) A_1^{t}\;x(0) + \sum_{j=0}^{t-1}\;Pr(j<\tau \leq j+1)\;A_2^{t-j}A_1^j\;x(0)
\end{equation*}


}


\section{Data}
\frame{ \frametitle{Data sets}

\vspace{1cm} % generate some space between title and content
    \begin{table}[h]
    \centering
    \begin{tabular}{lcc} \bottomrule[2pt]
         & ER-Src &  pBABE \\ \bottomrule 
        Tamoxifen (TAM) & $  9$ timepoints &  $4$ timepoints \\
        Ethanol & $3$ timepoints & $3$ timepoints \\
    \bottomrule[2pt]
    \end{tabular}
    \caption{Combinations of drugs in different runs} 
\end{table}
\vspace{-0.6cm} % compact spacing between table and text

    \begin{columns}[t]
    \column{0.5\textwidth}
    \begin{block}{ER-Src}
    \begin{itemize}
        \item Src expression leads to development of cancers
    \end{itemize}
    \end{block}
    \column{0.5\textwidth}
    \begin{block}{pBABE}
      \begin{itemize}
      \item Retroviral vector, delivers genes into genome
      \item Empty insertion to check position of insertion
      \end{itemize}

    \end{block}
    \end{columns}
    \textref{Hirsch et al. 2010}
}

\end{document}
