Petri nets: an introduction
System Modeling in Cellular Biology: From Concepts to Nuts and Bolts
System Modeling in Cellular Biology: From Concepts to Nuts and Bolts
An analysis of the Petri net based model of the human body iron homeostasis process
Computational Biology and Chemistry
Modeling of the U1 snRNP assembly pathway in alternative splicing in human cells using Petri nets
Computational Biology and Chemistry
PIPE2: a tool for the performance evaluation of generalised stochastic Petri Nets
ACM SIGMETRICS Performance Evaluation Review
The Access/CPN Framework: A Tool for Interacting with the CPN Tools Simulator
PETRI NETS '09 Proceedings of the 30th International Conference on Applications and Theory of Petri Nets
Discrete, Continuous, and Hybrid Petri Nets
Discrete, Continuous, and Hybrid Petri Nets
Modeling in Systems Biology: The Petri Net Approach
Modeling in Systems Biology: The Petri Net Approach
Two theoretical and practical aspects of knitting technique: invariants and a new class of Petri net
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Snoopy --- a unifying petri net tool
PETRI NETS'12 Proceedings of the 33rd international conference on Application and Theory of Petri Nets
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Systems biology approach to investigate biological phenomena seems to be very promising because it is capable to capture one of the fundamental properties of living organisms, i.e. their inherent complexity. It allows for analysis biological entities as complex systems of interacting objects. The first and necessary step of such an analysis is building a precise model of the studied biological system. This model is expressed in the language of some branch of mathematics, as for example, differential equations. During the last two decades the theory of Petri nets has appeared to be very well suited for building models of biological systems. The structure of these nets reflects the structure of interacting biological molecules and processes. Moreover, on one hand, Petri nets have intuitive graphical representation being very helpful in understanding the structure of the system and on the other hand, there is a lot of mathematical methods and software tools supporting an analysis of the properties of the nets. In this paper a Petri net based model of the hemojuvelin-hepcidin axis involved in the maintenance of the human body iron homeostasis is presented. The analysis based mainly on T-invariants of the model properties has been made and some biological conclusions have been drawn.