Yıl: 2016 Cilt: 24 Sayı: 3 Sayfa Aralığı: 719 - 732 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Discriminant-based bistability analysis of a TMG-induced lac operon model supported with boundedness and local stability results

Öz:
This paper presents the results of a theoretical and numerical study on the analysis of bistable behavior of the most studied gene regulatory network, the lac operon, in terms of the model parameters. The boundedness of the state variables for the considered model are demonstrated, the parameter values providing the existence of the multiple equilibria and thus the bistable behavior are determined, and a local stability analysis of the equilibria is performed. The parameter region yielding the existence of multiple equilibria is determined in an algebraic way based on discriminants. The model given in the state equation form is defined by the ordinary differential equations with the rational right-hand sides constituted within Hill and Michaelis Menten approaches based on enzyme kinetics. The presented method can also be used in the parametric studies of other gene regulatory and metabolic networks given by state equations with rational right hand sides.
Anahtar Kelime:

Konular: Mühendislik, Elektrik ve Elektronik
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Avcu N, Kalaycı Demir G, PEKERGİN F, Alyuruk H, Cavas L, GÜZELİŞ C (2016). Discriminant-based bistability analysis of a TMG-induced lac operon model supported with boundedness and local stability results. , 719 - 732.
Chicago Avcu Neslihan,Kalaycı Demir Güleser,PEKERGİN Ferhan,Alyuruk Hakan,Cavas Levent,GÜZELİŞ Cüneyt Discriminant-based bistability analysis of a TMG-induced lac operon model supported with boundedness and local stability results. (2016): 719 - 732.
MLA Avcu Neslihan,Kalaycı Demir Güleser,PEKERGİN Ferhan,Alyuruk Hakan,Cavas Levent,GÜZELİŞ Cüneyt Discriminant-based bistability analysis of a TMG-induced lac operon model supported with boundedness and local stability results. , 2016, ss.719 - 732.
AMA Avcu N,Kalaycı Demir G,PEKERGİN F,Alyuruk H,Cavas L,GÜZELİŞ C Discriminant-based bistability analysis of a TMG-induced lac operon model supported with boundedness and local stability results. . 2016; 719 - 732.
Vancouver Avcu N,Kalaycı Demir G,PEKERGİN F,Alyuruk H,Cavas L,GÜZELİŞ C Discriminant-based bistability analysis of a TMG-induced lac operon model supported with boundedness and local stability results. . 2016; 719 - 732.
IEEE Avcu N,Kalaycı Demir G,PEKERGİN F,Alyuruk H,Cavas L,GÜZELİŞ C "Discriminant-based bistability analysis of a TMG-induced lac operon model supported with boundedness and local stability results." , ss.719 - 732, 2016.
ISNAD Avcu, Neslihan vd. "Discriminant-based bistability analysis of a TMG-induced lac operon model supported with boundedness and local stability results". (2016), 719-732.
APA Avcu N, Kalaycı Demir G, PEKERGİN F, Alyuruk H, Cavas L, GÜZELİŞ C (2016). Discriminant-based bistability analysis of a TMG-induced lac operon model supported with boundedness and local stability results. Turkish Journal of Electrical Engineering and Computer Sciences, 24(3), 719 - 732.
Chicago Avcu Neslihan,Kalaycı Demir Güleser,PEKERGİN Ferhan,Alyuruk Hakan,Cavas Levent,GÜZELİŞ Cüneyt Discriminant-based bistability analysis of a TMG-induced lac operon model supported with boundedness and local stability results. Turkish Journal of Electrical Engineering and Computer Sciences 24, no.3 (2016): 719 - 732.
MLA Avcu Neslihan,Kalaycı Demir Güleser,PEKERGİN Ferhan,Alyuruk Hakan,Cavas Levent,GÜZELİŞ Cüneyt Discriminant-based bistability analysis of a TMG-induced lac operon model supported with boundedness and local stability results. Turkish Journal of Electrical Engineering and Computer Sciences, vol.24, no.3, 2016, ss.719 - 732.
AMA Avcu N,Kalaycı Demir G,PEKERGİN F,Alyuruk H,Cavas L,GÜZELİŞ C Discriminant-based bistability analysis of a TMG-induced lac operon model supported with boundedness and local stability results. Turkish Journal of Electrical Engineering and Computer Sciences. 2016; 24(3): 719 - 732.
Vancouver Avcu N,Kalaycı Demir G,PEKERGİN F,Alyuruk H,Cavas L,GÜZELİŞ C Discriminant-based bistability analysis of a TMG-induced lac operon model supported with boundedness and local stability results. Turkish Journal of Electrical Engineering and Computer Sciences. 2016; 24(3): 719 - 732.
IEEE Avcu N,Kalaycı Demir G,PEKERGİN F,Alyuruk H,Cavas L,GÜZELİŞ C "Discriminant-based bistability analysis of a TMG-induced lac operon model supported with boundedness and local stability results." Turkish Journal of Electrical Engineering and Computer Sciences, 24, ss.719 - 732, 2016.
ISNAD Avcu, Neslihan vd. "Discriminant-based bistability analysis of a TMG-induced lac operon model supported with boundedness and local stability results". Turkish Journal of Electrical Engineering and Computer Sciences 24/3 (2016), 719-732.