Induction Mechanism Description of λ Phage by Hybrid Petri Net

It is well known that just after the chromosome of λ phage is injected into an E. coli cell, it may enter either lytic or lysogenic pathways depending on the environment in the E. coli cell [3]. In [2], we provided a strategy for describing gene regulatory network and succeeded in simulating a part of gene regulatory network of λ phage concerning to these pathway mechanisms by using the currently available tool called Visual Object Net ++ [1]. However, an important mechanism “induction” of λ phage did not realize in the gene regulatory network described in the paper [2]. In this paper, we firstly present a complete hybrid Petri net describing lytic and lysogenic pathways of λ phage by adding the induction mechanism including a well known biological phenomenon “retroregulation”. Furthermore, we observe the dynamics of related protein concentrations by using Visual Object Net ++.