2019
DOI: 10.1049/iet-syb.2019.0043
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Bifurcation analysis of bistable and oscillatory dynamics in biological networks using the root‐locus method

Abstract: Most of the biological systems including gene regulatory networks can be described well by ordinary differential equation models with rational non-linearities. These models are derived either based on the reaction kinetics or by curve fitting to experimental data. This study demonstrates the applicability of the root-locus-based bifurcation analysis method for studying the complex dynamics of such models. The effectiveness of the bifurcation analysis in determining the exact parameter regions in each of which … Show more

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Cited by 7 publications
(7 citation statements)
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“…Nevertheless, the existence of positive loops is far from being sufficient; a positive feedback loop does not guarantee bistability, and this property has to be quantitatively explored for each particular system in order to confirm the emergence of this property [23]. This switchlike behavior is recognized by bifurcation analysis (or phase plane analysis), namely, equilibrium point analysis, which includes studies related to the changes in the qualitative and quantitative structures of the equilibrium points depending on the changes in the model parameters [24]. At bifurcation points, a system's behavior may differ qualitatively depending on small changes in the bifurcation parameters (those model parameters that enable the system to switch from one steady state to the other) [25].…”
Section: Multistability Hysteresis and Ultrasensitivitymentioning
confidence: 99%
“…Nevertheless, the existence of positive loops is far from being sufficient; a positive feedback loop does not guarantee bistability, and this property has to be quantitatively explored for each particular system in order to confirm the emergence of this property [23]. This switchlike behavior is recognized by bifurcation analysis (or phase plane analysis), namely, equilibrium point analysis, which includes studies related to the changes in the qualitative and quantitative structures of the equilibrium points depending on the changes in the model parameters [24]. At bifurcation points, a system's behavior may differ qualitatively depending on small changes in the bifurcation parameters (those model parameters that enable the system to switch from one steady state to the other) [25].…”
Section: Multistability Hysteresis and Ultrasensitivitymentioning
confidence: 99%
“…Nevertheless, the existence of positive loops is far from being sufficient; a positive feedback loop does not guarantee bistability and this property has to be quantitatively explored for each particular system in order to confirm the emergence of this property [28]. This switch -like behavior is recognized by bifurcation analysis (or phase plane analysis), namely the equilibrium point analysis, which includes the studies related to the changes in the qualitative and quantitative structures of the equilibrium points depending on the changes in the model parameters [29]. At bifurcation points a system's behavior may differ qualitatively depending on small changes in the bifurcation parameters: those model parameters that enable the system to switch from one steady state to the other [30].…”
Section: Current Evidence Pointing To Bistability In Macrophage Programsmentioning
confidence: 99%
“…BBRESD data was divided into 60, 20, and 20% and was used for training, testing, and validating the ANN topology. An optimal number of hidden layers were selected based on the lowest mean square error (MSE) value using hit and train technique [41].…”
Section: Ann Modelling and Ann-ga Optimizationmentioning
confidence: 99%