small update and restructure before deadline. not yet uploaded!
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45
paper.tex
45
paper.tex
@@ -15,7 +15,7 @@
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%pdfauthor=,
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colorlinks=true, linkcolor=purple, urlcolor=blue, citecolor=cyan,
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anchorcolor=black % make links/references 'clickable' without ugly frames
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]{hyperref}
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]{hyperref}
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\usepackage{cleveref} % smart references to figures, equations etc.
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% some packages which may be useful when drafting, but should be removed before submission
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@@ -69,49 +69,52 @@
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\end{abstract}
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\section{Introduction}00
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\subsection{Notation}
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\section{Introduction}
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\section{Boolean networks}
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Explain Boolean network and what an update scheme is using the synchronous/parallel scheme.
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\subsection{Notation}
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Define clear notation used throughout the paper
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\section{Update Schemes}
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Explain different update schemes:
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\begin{itemize}
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\item Synchronous scheme - all nodes update at the same time
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\item Sequential - close to synchronous. the nodes update in a specific order and take into account the updated input node if that node had been updated before/is positioned earlier in the sequence
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\item block sequential - mix of synchronous and sequential. predefined blocks update sequentiall, inside a block the update follows the synchronous scheme
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\item asynchronous deterministic - one node is updated per tick following a specific sequence
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\item asynchronous generalized - same as asynchronous deterministic with the slight change that within the sequence nodes may appear multiple times.
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\end{itemize}
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Explain different update schemes including characteristics for behavior especially chaotic behavior.
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\subsection{Synchronous scheme}
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all nodes update at the same time
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\subsection{Sequential scheme}
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close to synchronous. the nodes update in a specific order and take into account the updated input node if that node had been updated before/is positioned earlier in the sequence
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\subsection{Block-sequential scheme}
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mix of synchronous and sequential. predefined blocks update sequential, inside a block the update follows the synchronous scheme
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\subsection{Asynchronous deterministic}
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one node is updated per tick following a specific sequence
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\subsection{Asynchronous generalized}
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same as asynchronous deterministic with the slight change that within the sequence nodes may appear multiple times.
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\section{Relevance for Gene Regulatory Networks}
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Tie the update schemes and their different outcomes or behavior to GRN.
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\section{Conclusion}
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Emphasizing the drawbacks of asynchronous models when applied to GRN e.g. it takes way to long to update a GRN using asynchronous deterministic for it to have an effect; assuming that one update takes a few minutes, when the whole process can take days to complete.\cite{schwab2020concepts}
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\section{Conclusion}
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References: \cite{schwab2020concepts}\cite{aracena2009robustness}\cite{bornholdt2008boolean}\cite{goles2010block}\cite{helikar2011boolean}
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\begin{figure*} % The starred version uses both columns; unstarred only one column
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\centering
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% \includegraphics[width=5in]{edge_vs_hyperedge.png}
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% \includegraphics[width=5in]{edge_vs_hyperedge.png}
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% TIP: Ensure the original image file has approximately the right dimensions
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% (if using matplotlib, specify correct figure size) so that the image is not rescaled too brutally.
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\caption{Boolean example.
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% NB: The '~' inserts a non-breaking space, ensuring 'Ref.' is never separated from its number
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Simple boolean network example; a graph of the network and most likely a table as well for the updated states $x(t) \rightarrow x(t+1)$
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}
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\end{figure*}
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\begin{figure*} % The starred version uses both columns; unstarred only one column
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@@ -120,18 +123,18 @@ Tie the update schemes and their different outcomes or behavior to GRN.
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\caption{
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graph of all possible states for a boolean network using a synchronous update scheme
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}
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\end{figure*}
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\begin{figure*} % The starred version uses both columns; unstarred only one column
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\centering
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% \includegraphics[width=5in]{edge_vs_hyperedge.png}
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% \includegraphics[width=5in]{edge_vs_hyperedge.png}
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% TIP: Ensure the original image file has approximately the right dimensions
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% (if using matplotlib, specify correct figure size) so that the image is not rescaled too brutally.
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\caption{
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example graph of boolean network showcasing grouping of specific nodes.
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}
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\end{figure*}
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