The NF-κ B network as an example of a regulatory network with a positive and negative feedback loop

Julia Grajek, and Marek Bodnar. "The NF-κ B network as an example of a regulatory network with a positive and negative feedback loop." Mathematica Applicanda 47.2 (2019): null. <http://eudml.org/doc/295503>.

@article{JuliaGrajek2019,
abstract = {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.},
author = {Julia Grajek, Marek Bodnar},
journal = {Mathematica Applicanda},
keywords = {differential equations; stability analysis; Routh-Hurwitz stability criterion; Descartes’ rule of sign; inflammatory response},
language = {eng},
number = {2},
pages = {null},
title = {The NF-κ B network as an example of a regulatory network with a positive and negative feedback loop},
url = {http://eudml.org/doc/295503},
volume = {47},
year = {2019},
}

TY - JOUR
AU - Julia Grajek
AU - Marek Bodnar
TI - The NF-κ B network as an example of a regulatory network with a positive and negative feedback loop
JO - Mathematica Applicanda
PY - 2019
VL - 47
IS - 2
SP - null
AB - 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.
LA - eng
KW - differential equations; stability analysis; Routh-Hurwitz stability criterion; Descartes’ rule of sign; inflammatory response
UR - http://eudml.org/doc/295503
ER -