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13th International Conference on Membrane Computing - MTA Sztaki

13th International Conference on Membrane Computing - MTA Sztaki

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Mobile membranes with objects <strong>on</strong> surface as colored Petri nets<br />

Home Markings: [24] Dead Markings: [24];<br />

Dead Transiti<strong>on</strong> Instances: N<strong>on</strong>e Live Transiti<strong>on</strong> Instances: N<strong>on</strong>e<br />

Fairness Properties: No infinite occurrence sequences,<br />

meaning that we always reach c<strong>on</strong>figurati<strong>on</strong> M 24 (home marking), the computati<strong>on</strong><br />

stops here (dead marking), and that there are no infinite occurrence<br />

sequences.<br />

The simulati<strong>on</strong> of LDL degradati<strong>on</strong> pathway is not entirely correct from a<br />

biological point of view, because a cell is able to process more than <strong>on</strong>e LDL<br />

molecule. An arbitrary number of LDL molecules cannot be simulated by using<br />

mobile membranes, but it can be simulated in colored Petri nets by adding a<br />

new transiti<strong>on</strong> input and a new place applied as in Figure 7.<br />

Fig. 7. LDL Degradati<strong>on</strong> Pathway with input transiti<strong>on</strong><br />

In Figure 8 we show how the transiti<strong>on</strong> input is build, namely what are the<br />

input arcs and output arcs together with their inscripti<strong>on</strong>s.<br />

Fig. 8. Input transiti<strong>on</strong><br />

This transiti<strong>on</strong> works as follows: if the cell has the initial structure less the<br />

initial LDL molecule, then a new LDL molecule is added to the system in order<br />

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