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\title[]{4D flow MRI in the diagnosis of cardiovascular diseases}
%\author[Jeremías Garay Labra]
%{Jeremías Garay Labra}
\institute[University of Groningen]
{
Bernoulli Institute\\
Faculty of Sciences and Engineering\\
University of Groningen\\[0.5cm]
 %\includegraphics[height=1.5cm]{Imagenes/escudoU2014.pdf}   
  %  \includegraphics[height=1cm]{Imagenes/fcfm.png} \\[0.5cm]
  Jeremías Garay Labra}
\date{\today}


\begin{document}
\frame{\titlepage}


% \onslide<1->

\begin{frame}
\begin{figure}[!hbtp]
  \includegraphics[height=0.5\textwidth]{images/aorta_healthy.jpg}
 \end{figure}
\end{frame}



\begin{frame}
\begin{figure}[!hbtp]
  \includegraphics[height=0.6\textwidth]{images/aortic_stenosis_1.png}
 \end{figure}
\end{frame}

\begin{frame}
\begin{figure}[!hbtp]
  \includegraphics[height=0.6\textwidth]{images/aortic_stenosis_2.png}
 \end{figure}
\end{frame}


\begin{frame}
\begin{figure}[!hbtp]
  \includegraphics[height=0.6\textwidth]{images/aortic_stenosis_3.png}
 \end{figure}
\end{frame}

\begin{frame}
\begin{figure}[!hbtp]
  \includegraphics[height=0.6\textwidth]{images/aortic_stenosis_4.png}
 \end{figure}
\end{frame}




\begin{frame}
\begin{figure}[!hbtp]
 \begin{center}
  \includegraphics[height=0.6\textwidth]{images/catheter.png}
 \end{center}
 \end{figure}
\end{frame}

\begin{frame}
\begin{figure}[!hbtp]
 \begin{center}
  \includegraphics[height=0.6\textwidth]{images/MRI.jpg}
  \caption{\footnotesize MRI scanner}
 \end{center}
 \end{figure}
\end{frame}


\begin{frame}
\begin{figure}[!hbtp]
 \begin{center}
  \includegraphics[height=0.6\textwidth]{images/4dflow.png}
  \caption{\footnotesize 4D flow MRI of a human thorax}
 \end{center}
 \end{figure}
\end{frame}




\begin{frame}
\begin{figure}
\centering
\tikzstyle{block} = [rectangle, draw, fill=blue!25,text width=15em, text centered, rounded corners, minimum height=15em, line width=1pt ]
\tikzstyle{block2} = [rectangle, draw, fill=blue!25,text width=4em, text centered, rounded corners, minimum height=2em, line width=1pt ]

\tikzstyle{line} = [draw, -latex', line width=1pt]
\tikzstyle{alert} = [text=red, fill=red!25, draw=red]

\begin{tikzpicture}[node distance = 2cm, auto]
    % Place nodes
    \node [block2] (mri) {velocity data \\ $\vec{u}$ };
    \node [block, right of=mri, node distance=4.5cm] (NS) {Navier-Stokes equations \\[0.3cm] 
    $$\rho \frac{\partial \vec{u}}{\partial t} + \rho \vec{u} \cdot \nabla \vec{u} + \mu \Delta \vec{u} + \nabla p =0 $$ $$ \nabla \cdot \vec{u} = 0$$};
    \node [block2,alert, right of=NS, node distance=4.5cm] (press) {pressure \\ $p$ };
    % Draw edges
    \path [line] (mri) -> (NS);
    \path [line] (NS) -- (press);
\end{tikzpicture}
\end{figure}
\end{frame}





\begin{frame}
\begin{figure}[!hbtp]
 \begin{center}
  \includegraphics[height=0.6\textwidth]{images/p.png}
  \caption{\footnotesize reconstructed pressure using NS equations}
 \end{center}
 \end{figure}
\end{frame}


\begin{frame}
\begin{figure}[!hbtp]
 \begin{center}
  \includegraphics[height=0.6\textwidth]{images/p2.png}
  \caption{\footnotesize reconstructed pressure using NS equations}
 \end{center}
 \end{figure}
\end{frame}




\begin{frame}
\begin{center}
\huge{Conclusions}
\end{center}
\end{frame}









\begin{frame}
\begin{figure}[!hbtp]
 \begin{center}
  \includegraphics[height=0.5\textwidth]{images/catheter_curve.png}
  \caption{\footnotesize Two different methods for pressure reconstruction (STE, PPE) against actual catheter data in two patients}
 \end{center}
 \end{figure}
\end{frame}

\begin{frame}
\title{Conclusion}
\begin{itemize}
\item \onslide<1-> New approach for addressing cardiovascular diagnosis is presented \\[0.3cm]
\item \onslide<2-> Consists in imagining the velocity of blood flows (4D flow)\\[0.3cm]
\item \onslide<3-> Main limitations so far:
\begin{itemize}
\item \onslide<4-> Difficulties in obtaining the special type of data needed
\item \onslide<5-> Practical resolutions are far from the desired ones
\end{itemize}
\end{itemize}
\end{frame}



\begin{frame}
\begin{center}
\huge{Thank you for your time!}
\end{center}
\end{frame}






 
\end{document}