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12. Qualitative analysis of the minimal Higgins model of glycolysisBrigita Ferčec, Matej Mencinger, Tatjana Petek, Orhan Ozgur Aybar, Ilknur Kusbeyzi Aybar, 2023, original scientific article Abstract: 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.
Keywords: biological processes, biochemical models, glycolysis
Published in DiRROS: 18.03.2024; Views: 106; Downloads: 52
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13. Characterisation of the microstructure and defects during the direct energy deposition of hybrid Ti6Al4V in a low-quality atmosphereSimon Malej, Črtomir Donik, Matej Balažic, Matija Bizjak, Marko Kač, Matjaž Godec, 2023, original scientific article Keywords: direct energy deposition, Ti6Al4V, protective atmosphere
Published in DiRROS: 08.03.2024; Views: 142; Downloads: 70
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17. Scanning electron microscope images of isolates of small cellular particles Phaeodactylum tricornutum grown in media supplemented with Guillard’s (F/2) marine : marine water enrichment solution, BG11 broth and Lennox LB brothApolonija Bedina Zavec, Darja Božič, Matej Hočevar, Aleš Iglič, Marko Jeran, Veronika Kralj-Iglič, Anna Romolo, 2024, published scientific conference contribution Published in DiRROS: 08.03.2024; Views: 123; Downloads: 59
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