# On the use of stochastic Petri nets in the analysis of signal
transduction pathways for angiogenesis process

**L. Napione, D. Manini, F. Cordero, A. Horváth, A. Picco, M. De Pierro,
S. Pavan, M. Sereno, A. Veglio, F. Bussolino, and G. Balbo**

### Abstract:

In this paper we consider the modeling of a selected portion of signal
transduction events involved in the angiogenesis process. The detailed model of
this process contains a large number of parameters and the data available from
wet-lab experiments are not sufficient to obtain reliable estimates for all of them.
To overcome this problem, we suggest ways to simplify the detailed representation
that result in models with a smaller number of parameters still capturing the
overall behaviour of the detailed one.

Starting from a detailed stochastic Petri net (SPN) model that accounts for
all the reactions of the signal transduction cascade, using structural properties
combined with the knowledge of the biological phenomena, we propose a set of
model reductions.

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*András Horváth, 2009-08-24*