\section{Intro}

\begin{frame}{NAStJA: An MPI Stencil Code Solver}
\begin{figure}
	\includegraphics[width=\textwidth]{nastja.png}
\end{figure}

\begin{itemize}
	\item CiS uses NAStJA under the hood
	\item NAStJA is a massively parallel stencil code solver \\
	      $\implies$ CiS extensions should be stencils
\end{itemize}
\end{frame}

\begin{frame}{ECM Viscoelasticity:\\A Factor in Cell Behavior}
\begin{figure}
	\includegraphics[width=0.6\textwidth]{ecm-cells.png}
\end{figure}

\begin{itemize}
	\item Collagen networks in the ECM  mechanically restrict cells
	\item Collagen networks are \emph{viscoelastic}
	\item ECM viscoelasticity influences cell behavior
\end{itemize}
\end{frame}

\section{ECM Model}

\begin{frame}{Modeling ECM Mechanics in CiS}
How can we model ECM mechanics in CiS?

\vfill{}

Two main requirements:

\begin{itemize}
	\item Model exhibits viscoelastic properties
	\item Model can be implemented as a stencil in NAStJA
\end{itemize}
\end{frame}

\begin{frame}{ECM Models in Literature}
\begin{figure}
	\includegraphics[width=0.8\textwidth]{models.png}
\end{figure}

\begin{itemize}
	\item A host of different ECM models exist
	\item Various foci, e.g. mechanics, growth factors
	\item Various approaches, e.g. FEM, Molecular Dynamics
	\item But: So far no approach is suitable as a stencil
\end{itemize}
\end{frame}

\begin{frame}{My Approach}
Two main requirements:

\begin{itemize}
	\item Model exhibits viscoelastic properties
	\item Model can be implemented as a stencil in NAStJA
\end{itemize}
\end{frame}

\vfill

\section{Methods}

\begin{frame}{Lattice Boltzmann Method}
\begin{figure}
	\includegraphics[width=\textwidth]{lbm.png}
\end{figure}

\begin{itemize}
	\item Discretized particle velocities per lattice site
	\item Update Step: Streaming + Collision
	\item Usually used for hydrodynamics
\end{itemize}
\end{frame}

\begin{frame}{Elastic Lattice Model}
\begin{figure}
	\includegraphics[width=0.4\textwidth]{elm.png}
\end{figure}

\begin{itemize}
	\item A square lattice based discrete particle method
	\item Each lattice site represents a particle
	\item Particles are connected to neighbors by springs
\end{itemize}
\end{frame}

\section{Implementation}

\begin{frame}{Implementation}
\begin{itemize}
	\item Starting point: NAStJA + CiS
	\item Benchmark different implementations against each other
	\begin{itemize}
		\item CPU
		\item Vectorized
		\item GPU
	\end{itemize}
	\item Optimize for
	\begin{itemize}
		\item Scaling behavior
		\item Wall clock time
		\item etc.
	\end{itemize}
\end{itemize}
\end{frame}

\begin{comment}
\section{Intro}
\subsection{Subsection 1.1}
\frame{
\frametitle{Example slide A}
\begin{itemize}
\item PCM, Citation: \cite{dh76,kl07} %\language
\pause
\item Bullet point 2
\item \dots
\end{itemize}
}
\subsection{Subsection 1.2}
\frame{
\frametitle{Example slide B}
\begin{block}{Block 1}
\begin{itemize}
\item Test: ÄÖÜäöüß
\pause
\item Bullet point 2
\item \dots
\end{itemize}
\end{block}
}
\section{Section 2}
\frame{
\frametitle{Example slide C}
\begin{exampleblock}{Example 1}
\begin{itemize}
\item Bullet point 1
\pause
\item Bullet point 2
\item \dots
\end{itemize}
\end{exampleblock}
}
\frame{
\frametitle{Example slide D}
\begin{alertblock}{Alert 1}
\begin{itemize}
\item Bullet point 1
\pause
\item Bullet point 2
\item \dots
\end{itemize}
\end{alertblock}
}
\end{comment}