Geodesic
The NF-κ B network as an example of a regulatory network with a positive and negative feedback loop
Mathematica Applicanda, Tome 47 (2019) no. 2, pp. 165-176.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The family of transcription factors NF-κB plays a crucial role in immune response regulation, cell proliferation and cell survival; therefore, deregulated NF-κB activation results in severe health problems. However, its elaborate regulatory network is not yet fully understood. In this paper, we propose and analyze modifications of a mathematical model of the regulatory network that considers the positive feedback between NF-κB and cytokines and the negative feedback between NF-κBand its inhibitors. This mathematical framework captures the transient dynamics of NF-κB while remaining simple enough to obtain a stability condition of the equilibria. We anticipate that a deeper understanding of the NF-κB framework will increase the effectiveness of therapeutic strategies based on NF-κB inhibition.
DOI : 10.14708/ma.v47i2.6490
Classification : 34D20, 92C99
Mots-clés : differential equations, stability analysis, Routh-Hurwitz stability criterion, Descartes’ rule of sign, inflammatory response 
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Julia Grajek; Marek Bodnar. The NF-κ B network as an example of a regulatory network with a positive and negative feedback loop. Mathematica Applicanda, Tome 47 (2019) no. 2, pp.  165-176. doi : 10.14708/ma.v47i2.6490. http://geodesic.mathdoc.fr/articles/10.14708/ma.v47i2.6490/

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