Producing a Set of Models for the Iron Homeostasis Network

Nicolas Mobilia
Alexandre Donzé
Jean Marc Moulis
Éric Fanchon

This paper presents a method for modeling biological systems which combines formal techniques on intervals, numerical simulations and satisfaction of Signal Temporal Logic (STL) formulas. The main modeling challenge addressed by this approach is the large uncertainty in the values of the parameters due to the experimental difficulties of getting accurate biological data. This method considers intervals for each parameter and a formal description of the expected behavior of the model. In a first step, it produces reduced intervals of possible parameter values. Then by performing a systematic search in these intervals, it defines sets of parameter values used in the next step. This procedure aims at finding a sub-space where the model robustly behaves as expected. We apply this method to the modeling of the cellular iron homeostasis network in erythroid progenitors. The produced model describes explicitly the regulation mechanism which acts at the translational level.

In Thao Dang and Carla Piazza: Proceedings Second International Workshop on Hybrid Systems and Biology (HSB 2013), Taormina, Italy, 2nd September 2013, Electronic Proceedings in Theoretical Computer Science 125, pp. 92–98.
Published: 27th August 2013.

ArXived at: http://dx.doi.org/10.4204/EPTCS.125.7 bibtex PDF
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