Skip to Main Content
The application of Petri nets to analyze and simulate biological pathways has been developed vigorously. Some of the modifications of Petri nets appeared to perform quantitative analysis of biological pathways: hybrid Petri net, timed Petri net, stochastic Petri net and so on. For a quantitative analysis of biological pathways, we propose to adopt Runge-Kutta methods to act on a continuous Petri net. We show that Runge-Kutta methods are applicable to a continuous Petri net in glycolysis and apoptosis pathways with reliable and efficient simulation results.