Limit cycle analysis of a class of hybrid gene regulatory networks

Implementation of the method in the paper "Limit cycle analysis of a class of hybrid gene regulatory networks" in Python (notebook).

The hybrid model used in this work comes from the paper "Cornillon, E., Comet, J. P., Bernot, G., & Enée, G. (2016). Hybrid gene networks: a new framework and a software environment. advances in Systems and Synthetic Biology."

Objective of this method is to find automatically limit cycles in this class of hybrid dynamical system and analyze their stability.

Some hybrid models are provided in these files:

• A hybrid model of negative feedback loop in 2 dimensions. (celerity2d.csv)
• Three hybrid models of negative feedback loop in 3 dimensions. (celerity3d1.csv; celerity3d2.csv; celerity3d3.csv)
• A hybrid model of cell cycle in mammals in 5 dimensions, parameters are generated based on the paper "Behaegel, J., Comet, J. P., Bernot, G., Cornillon, E., & Delaunay, F. (2016). A hybrid model of cell cycle in mammals. Journal of bioinformatics and computational biology, 14(01), 1640001." (celerity5d.csv)