09.09.2014 Views

13th International Conference on Membrane Computing - MTA Sztaki

13th International Conference on Membrane Computing - MTA Sztaki

13th International Conference on Membrane Computing - MTA Sztaki

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

T. Hinze, B. Schell, M. Schumann, C. Bodenstein<br />

The corresp<strong>on</strong>ding experimental setup can be captured by the P meta framework<br />

assuming the n<strong>on</strong>-probabilistic P module n = (X, Y, F) from [3] to act as<br />

unique neur<strong>on</strong>al core oscillator from which up to 14 instances are employed:<br />

5 C<strong>on</strong>clusi<strong>on</strong>s<br />

Π SCN =(M,P) with<br />

M = {(n, 14)}<br />

P = {0 :ModuleC<strong>on</strong>nect(n[1] → n[3], {(Y,X)}),<br />

0:ModuleC<strong>on</strong>nect(n[1] → n[4], {(Y,X)}),...,<br />

0:ModuleC<strong>on</strong>nect(n[10] → n[14], {(Y,X)})<br />

300 : ModuleC<strong>on</strong>nect(n[2] → n[4], {(Y,X)}),...,<br />

300 : ModuleC<strong>on</strong>nect(n[6] → n[10], {(Y,X)})}<br />

Assembly and reassembly as well as compositi<strong>on</strong> and decompositi<strong>on</strong> of predefined<br />

reacti<strong>on</strong> network modules <strong>on</strong> the fly appears to be a promising strategy<br />

in order to achieve complex systems capable of new or extended functi<strong>on</strong>ality.<br />

Inspired by biological evoluti<strong>on</strong> at a granularity of highly c<strong>on</strong>served genetic<br />

ensembles, our P meta framework provides a tool for c<strong>on</strong>trol and systematic<br />

c<strong>on</strong>ducti<strong>on</strong> of corresp<strong>on</strong>ding studies. Within two applicati<strong>on</strong> cases, we dem<strong>on</strong>strated<br />

the descriptive capacity behind this approach. Particularly at the edge<br />

of straight-forward lines for complex network inference in reverse engineering, a<br />

strict utilisati<strong>on</strong> of previously identified modules and their reuse can c<strong>on</strong>tribute<br />

to explore the abilities of resulting systems in a more effective and efficient way.<br />

Further studies will address technical aspects of module integrati<strong>on</strong> from different<br />

specificati<strong>on</strong> platforms. It seems that modules based <strong>on</strong> ODEs <strong>on</strong> the <strong>on</strong>e<br />

hand and discrete forms al<strong>on</strong>g with rewriting rules <strong>on</strong> the other, needs to interact<br />

with each other via appropriate interfaces. To this end, the Infobiotics<br />

workbench offers an extensive functi<strong>on</strong>ality [5]. A fruitful combinati<strong>on</strong> of the<br />

universe of P systems featured by their ability to manage dynamical structures<br />

with the universe of ODEs featured by a profound toolbox for analytical examinati<strong>on</strong><br />

could be an innovative clue. In all simulati<strong>on</strong> studies carried out for this<br />

paper, we c<strong>on</strong>sistently utilised the Complex Pathway Simulator software CoPaSi<br />

(versi<strong>on</strong> 4.7) al<strong>on</strong>g with the Gepasi Model Extractor for generati<strong>on</strong> of several<br />

instances from a comm<strong>on</strong> module specificati<strong>on</strong>. Corresp<strong>on</strong>ding source files are<br />

available from the authors up<strong>on</strong> request.<br />

References<br />

1. B.P. Belousov. A periodic reacti<strong>on</strong> and its mechanism. Compilati<strong>on</strong> of Abstracts<br />

in Radiati<strong>on</strong> Medicine 147:145, 1959<br />

2. B.W. Bequette. Process c<strong>on</strong>trol: modeling, design, and simulati<strong>on</strong>. Prentice Hall,<br />

2003<br />

3. S. Bernard, D. G<strong>on</strong>ze, B. Cajavec, H. Herzel, A. Kramer. Synchr<strong>on</strong>izati<strong>on</strong>-induced<br />

rhythmicity of circadian oscillators in the suprachiasmatic nucleus. PLoS Comput<br />

Biol 3(4):e68, 2007<br />

240

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!