Asymptotic states and topological structure of an activation-deactivation chemical network.
The influence of the topology on the asymptotic states of a network of interacting chemical species has been studied by simulating its time evolution. Random and scale-free networks have been designed to support relevant features of activation-deactivation reactions networks (mapping signal transduction networks) and the system of ordinary differential equations associated to the dynamics has been numerically solved. We analysed stationary states of the dynamics as a function of the network's connectivity and of the distribution of the chemical species on the network; we found important differences between the two topologies in the regime of low connectivity. In particular, only for low connected scale-free networks it is possible to find zero activity patterns as stationary states of the dynamics which work as signal off-states. Asymptotic features of random and scale-free networks become similar as the connectivity increases.
Martelli
Carlotta
C
Dipartimento di Fisica, Università di Roma "La Sapienza", Piazzale Aldo Moro 2, 00185 Roma, Italy. carlotta.martelli@romal.infn.it
Giansanti
Andrea
A
Arisi
Ivan
I
Rosato
Vittorio
V
D000818:Animals; D003198:Computer Simulation; D008956:Models, Chemical; D025941:Protein Interaction Mapping; D011506:Proteins / Q000378:metabolism*; D015398:Signal Transduction / Q000502:physiology*
D011506:Proteins