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13th International Conference on Membrane Computing - MTA Sztaki

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MP systems for systems biology<br />

tered these genes in eight types C1, C2, C3, C4, C5, C6, C7, C8, depending <strong>on</strong><br />

the kind of time behaviour: linear-quick-up, linear-slow-up, linear-quick-down,<br />

linear-slow-down, parabolic-up, parabolic-down, cubic-up-down, cubic-down-up.<br />

To each cluster an average curve was associated, which c<strong>on</strong>stituted the variables<br />

of a dynamical system under investigati<strong>on</strong>. By means of the LGSS algorithm, MP<br />

grammars over these variables were searched for generating the related curves.<br />

The LGSS algorithm was applied with a set of regressors c<strong>on</strong>stituted by simple<br />

m<strong>on</strong>omials over the variables. At end, we got a number of possible MP grammars.<br />

One of them had the most reas<strong>on</strong>able set of regulati<strong>on</strong> maps, according<br />

to the literature about gene regulatory networks. We know that the cancer cell<br />

presents a resistance to the inhibiti<strong>on</strong> of the HER2 factor. Can our MP grammar<br />

tell us something about this resistance phenomen<strong>on</strong>? A deducti<strong>on</strong>, coming<br />

from the obtained grammar, c<strong>on</strong>cerned with clusters with cubic behavior C7,<br />

C8. In fact, from the MP grammar we obtained, with a very easy translati<strong>on</strong><br />

[11], a regulati<strong>on</strong> networks am<strong>on</strong>g clusters. In this network it appears clearly<br />

that the HER2 factor promotes C7, while inhibits C8. However, their curves<br />

behave in c<strong>on</strong>flict with the HER2 effect. We interpreted this phenomen<strong>on</strong> as<br />

a clue of resistance. A deep biological investigati<strong>on</strong> of genes included in these<br />

clusters provided the discovery of a gene having an unknown crucial effect in<br />

this regulatory mechanism.<br />

References<br />

1. Păun G (2000) <strong>Computing</strong> with membranes. J. Comput. System Sci. 61(1):108-143.<br />

2. Manca V (2008) The metabolic algorithm for P systems: Principles and applicati<strong>on</strong>s.<br />

Theoretical Computer Science 404:142-155, 2008.<br />

3. Manca V (2010) Fundamentals of Metabolic P Systems. In [5], chap. 19, 475-498.<br />

4. Manca V (2010) Metabolic P Dynamics. In [5], chap. 20, 499-528.<br />

5. Păun G, Rozenberg G, Salomaa A, eds (2010). Handbook of <strong>Membrane</strong> <strong>Computing</strong>.<br />

Oxford University Press.<br />

6. Manca V, Marchetti L (2010) Metabolic approximati<strong>on</strong> of real periodical functi<strong>on</strong>s.<br />

The Journal of Logic and Algebraic Programming 79:363-373.<br />

7. Manca V, Marchetti L (2010) Goldbeters Mitotic Oscillator Entirely Modeled by<br />

MP Systems. LNCS 6501:273-284.<br />

8. Manca V, Marchetti L (2011) Log-Gain Stoichiometic Stepwise regressi<strong>on</strong> for MP<br />

systems. Int. Journal of Foundati<strong>on</strong>s of Computer Science, 22(1):97-106.<br />

9. Manca V, Marchetti L, Pagliarini R (2011) MP Modelling of Glucose-Insulin Interacti<strong>on</strong>s<br />

in the Intravenous Glucose Tolerance Test. Int. J. of Nat. Comp. Research<br />

2(3):13-24.<br />

10. Manca V, Marchetti L (2012) Solving Dynamical Inverse Problems by means of<br />

Metabolic P Systems. BioSystems, 109, 78-86.<br />

11. Marchetti L, Manca V (2012) A Methodology Based <strong>on</strong> MP Theory for Gene<br />

Expressi<strong>on</strong> Analysis. LNCS 7184: 300-313.<br />

12. Manca V, Bianco L (2008) Biological networks in metabolic P systems. BioSystems<br />

91(3):489-498.<br />

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