| Naslov: | Qualitative analysis of the minimal Higgins model of glycolysis |
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| Avtorji: | ID Ferčec, Brigita (Avtor)
ID Mencinger, Matej (Avtor)
ID Petek, Tatjana (Avtor)
ID Aybar, Orhan Ozgur (Avtor)
ID Aybar, Ilknur Kusbeyzi (Avtor) |
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| Datoteke: |  URL - Izvorni URL, za dostop obiščite https://match.pmf.kg.ac.rs/issues/m90n3/m90n3_563-580.html
 PDF - Predstavitvena datoteka, prenos (837,28 KB)
MD5: 757B83ABA21DEE35A36CBD947C259FBE
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | Glycolysis, one of the leading metabolic pathways, involves many
different periodic oscillations emerging at positive steady states of
the biochemical models describing this essential process. One of
the models employing the molecular diffusion of intermediates is
the Higgins biochemical model to explain sustained oscillations. In
this paper, we investigate the center-focus problem for the minimal
Higgins model for general values of the model parameters with the
help of computational algebra. We demonstrate that the model
always has a stable focus point by finding a general form of the first
Lyapunov number. Then, varying two of the model parameters, we
obtain the first three coefficients of the period function for the stable focus point of the model and prove that the singular point is actually a bi-weak monodromic equilibrium point of type $[1, 2]$. Additionally, we prove that there are two (small) intervals for a chosen parameter $a > 0$ for which one critical period bifurcates from this singular point after small perturbations. |
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| Ključne besede: | biological processes, biochemical models, glycolysis |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.01.2023 |
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| Leto izida: | 2023 |
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| Št. strani: | str. 563-580 |
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| Številčenje: | Vol. 90, no. 3 |
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| PID: | 20.500.12556/DiRROS-18446  |
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| UDK: | 51-7 |
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| ISSN pri članku: | 0340-6253 |
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| DOI: | 10.46793/match.90-3.563F |
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| COBISS.SI-ID: | 157794563 |
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| Opomba: |
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| Datum objave v DiRROS: | 18.03.2024 |
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| Število ogledov: | 469 |
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| Število prenosov: | 209 |
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| Metapodatki: |    |
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