2022
DOI: 10.1007/s11071-022-07977-4
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When Hopf meets saddle: bifurcations in the diffusive Selkov model for glycolysis

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Cited by 2 publications
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“…We are considering one of the nonlinear dynamical systems: a mathematical model that depicts the behavior of a biochemical reaction network [8] containing glycolysis [9], a crucial metabolic process [10] in living creatures, known as the Sel'kov glycolysis model [11,12], which was first put forth by Russian biochemist Anatolii Sel'kov in 1968. Due to the model's simplicity and capacity to grasp crucial aspects of glycolytic oscillations found empirically in yeast and other organisms, it has received extensive study and analysis in the field of systems biology.…”
Section: Introductionmentioning
confidence: 99%
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“…We are considering one of the nonlinear dynamical systems: a mathematical model that depicts the behavior of a biochemical reaction network [8] containing glycolysis [9], a crucial metabolic process [10] in living creatures, known as the Sel'kov glycolysis model [11,12], which was first put forth by Russian biochemist Anatolii Sel'kov in 1968. Due to the model's simplicity and capacity to grasp crucial aspects of glycolytic oscillations found empirically in yeast and other organisms, it has received extensive study and analysis in the field of systems biology.…”
Section: Introductionmentioning
confidence: 99%
“…Due to the model's simplicity and capacity to grasp crucial aspects of glycolytic oscillations found empirically in yeast and other organisms, it has received extensive study and analysis in the field of systems biology. The Sel'kov model for glycolysis has been studied using a variety of methodologies, including analytical methods, numerical methods, data-driven approaches, and sensitivity analysis [11,13]. Moreover, finding the bifurcation points in a system is crucial for stability analysis in order to comprehend the system's dynamics and transition [14].…”
Section: Introductionmentioning
confidence: 99%