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Aggregation for Computing Multi-Modal Stationary Distributions in 1-D Gene Regulatory Networks
(IEEE/ACM Transactions on Computational Biology and Bioinformatics, 2018)
This paper proposes aggregation-based, three-stage algorithms to overcome the numerical problems encountered in computing stationary distributions and mean first passage times for multi-modal birth-death processes of large ...
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)
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 ...
Bifurcation analysis of bistable and oscillatory dynamics in biological networks using the root-locus method
(INST ENGINEERING TECHNOLOGY-IET, 2019)
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 ...
Bifurcation analysis of bistable and oscillatory dynamics in biological networks using the root-locus method
(IET Systems Biology, 2019)
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 ...
Aggregation for Computing Multi-Modal Stationary Distributions in 1-D Gene Regulatory Networks
(IEEE COMPUTER SOC, 2018)
This paper proposes aggregation-based, three-stage algorithms to overcome the numerical problems encountered in computing stationary distributions and mean first passage times for multi-modal birth-death processes of large ...
Discriminant-Based Bistability Analysis Of A Tmg-Induced Lac Operon Model Supported With Boundedness And Local Stability Results
(2016)
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 ...
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