Changeset 18


Ignore:
Timestamp:
Dec 1, 2009, 11:27:26 PM (15 years ago)
Author:
Rick van der Zwet
Message:

Revised model

Location:
liacs/pnbm/project
Files:
2 added
4 edited

Legend:

Unmodified
Added
Removed

  • liacs/pnbm/project/planar-signaling-model.svg

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  • liacs/pnbm/project/report.tex

    r12 r18  
    4747proteins (figure: blue) are leading in a second process of the creation of
    4848gradients which also needs modeling. We assume a 1:1 mapping between the amount
    49 of proteins and gradients -this taken into consideration- ones an $INITIAL$
    50 protein is used in this process it get called $ACTIVATED$. We assume that the
    51 proteins to gradients process is starting at an certain time from the start of
    52 the process.
     49of proteins and gradients -this taken into consideration- ones an \texttt{INITIAL}
     50protein is 'used' (e.g. has on posterisation counterpart) in this process it
     51get called \texttt{ACTIVATED}. We assume that the proteins to posterisation
     52process is taking place at the same time as the proteins distribution. And in a
     53special format (figure: object B). It tries to matches the posterisation to the
     54same level as the proteins present. But the moment the protein level lowers,
     55the posterisation will remain the same. In pseudo-code:
     56\begin{verbatim}
     57if numPos < numProteins then
     58    numPos = numPos + 1
     59endif
     60\end{verbatim}
     61\texttt{numProteins} is the proteins available and \texttt{numPos} is the
     62posterisation present.
    5363
    5464The connectors between the cells (the membrams) has a special properly. One
    5565can see them as pressure valves others as sighons (see Fig~\ref{fig:pressure}).
    5666The moment the 'volume' at complies with the following properly $A / 2 < B$
    57 then the pressure closes, else it passes volume from A to B at an certain rate.
     67then the pressure closes, else it passes volume from A to B at an certain rate
     68(\texttt{flowSpeed}). This rate could depend on the difference, actual value present
     69or something else.
     70
    5871For the case there exists no standard PetriNet 'component', hence  this require
    5972the creation of a new property (figure: $2:1$), with the following properties:
    6073
    6174\begin{verbatim}
    62 flowSpeed = 2
     75flowSpeed = n
    6376if A > 2 * B then
    6477  A = A - flowSpeed
    … …  
    7285Planar signaling could theoretically start in every cell, by
    7386inserting some amount of protiens. In our model represented as a bunch of
    74 $INITIAL$ tokens beeing put in a random cell.
     87\texttt{INITIAL} tokens beeing put in a random cell.
    7588
    7689\begin{figure}[htp]
    7790\centering
    7891\caption{Planar signaling model}
    79 \includegraphics[width=60mm]{planar-signaling-model.eps}
     92\includegraphics[width=100mm]{planar-signaling-model.eps}
    8093\label{fig:model}
    8194\end{figure}
    … …  
    96109workaround for this (see Fig~\ref{fig:CPNplanar}) we used a 'dump' gradation
    97110function. In our case it simply take 3 tokens and pushes 1 forward and
    98 converting 2 directly to $ACTIVATED$. This does not take in consideration if
    99 the amount get changed in 'further-up', by some external source.
     111converting 2 directly to \texttt{ACTIVATED}. This does not take in
     112consideration if the amount get changed in 'further-up', by some external
     113source.
    100114
    101115Secondly it is missing a possibility to for easy random initialisation for
    … …  
    109123Also it should be noted that it missing a notion of timed firing sequences;
    110124meaning firing sequences which will occur at an certain time. This could for
    111 example used to 'trigger' a timmed activation of the $INITIAL$ to $ACTIVATED$
    112 process as modeled in fig~\ref{fig:model}.
     125example used to 'trigger' a timmed activation of the \texttt{INITIAL} to
     126\texttt{ACTIVATED} process as modeled in fig~\ref{fig:model}. An initial idea
     127is shown at fig\ref{fig:time-idea} in appendix 1.
     128
    113129
    114130\begin{figure}[htp]
    … …  
    139155
    140156\end{thebibliography}
     157\section{*Appendix}
     158
     159\begin{figure}[htp]
     160\centering
     161\caption{Timed transition idea}
     162\includegraphics[width=0.5\textwidth]{timer-proposal.eps}
     163\label{fig:time-idea}
     164\end{figure}
    141165\end{document}
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