Modeling the process of human body iron homeostasis using a variant of timed Petri nets

Authors:
Jacek Blazewicz;Dorota Formanowicz;Piotr Formanowicz;Andrea Sackmann;Michał Sajkowski
Affiliations:
Institute of Computing Science, Poznań University of Technology, Piotrowo 2, 60-965 Poznań, Poland and Institute of Bioorganic Chemistry, Polish Academy of Sciences, Noskowskiego 12/14, ...;Department of Clinical Biochemistry, Poznań University of Medical Sciences, Grunwaldzka 6, 60-780 Poznań, Poland;Institute of Computing Science, Poznań University of Technology, Piotrowo 2, 60-965 Poznań, Poland and Institute of Bioorganic Chemistry, Polish Academy of Sciences, Noskowskiego 12/14, ...;Institute of Computing Science, Poznań University of Technology, Piotrowo 2, 60-965 Poznań, Poland;Institute of Computing Science, Poznań University of Technology, Piotrowo 2, 60-965 Poznań, Poland
Venue:
Discrete Applied Mathematics
Year:
2009

Citing 6
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An analysis of the Petri net based model of the human body iron homeostasis process

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Abstract

The body iron homeostasis is one of the most important processes in the human body. This complex process is not fully understood and until recently only some parts of it have been described in the literature. In our recent papers the main part of the process has been described and a model based on Petri net theory has been proposed. However, in this model any time dependencies occurring in the biochemical process have not been taken into account. In the present paper the model is enriched in the way that durations of biochemical reactions composing this process have been included into the model. A variant of Petri net where with each place a time interval is associated has been used in order to describe these dependencies. The time interval associated with a place corresponds to a time lag of biochemical conditions which must be fulfilled in order to enable a biochemical reaction to start.