Delay Time Estimation for Petri Net Models of Signaling Pathways Based on Experimental Data

In this paper, we propose a delay time estimation algorithm for Petri net models of signaling pathways based on experimental data. Firstly, we model signaling pathways (we use the example of ErbB4 receptor signaling pathway) with discrete Petri nets. Then, we propose a delay time estimation algorithm for Petri net models with experimental data, and assign estimated delay times to a model to be run on the simulation tool Cell Illustrator 3.0. Finally, we verify the simulation result by comparing with the experimental data and evaluate the performance of the estimation algorithm.