Fundamentals of Systems Analysis and Modeling of Biosystems and Metabolism


Kazuyuki Shimizu, Yu Matsuoka

DOI: 10.2174/97816810808641150101
eISBN: 978-1-68108-086-4, 2015
ISBN: 978-1-68108-087-1

Indexed in: EBSCO.

An understanding of biological systems at cellular and molecular levels helps researchers to model cellular behavior in different expe...[view complete introduction]
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Steady-State and Dynamic Characteristics

- Pp. 225-257 (33)

Kazuyuki Shimizu and Yu Matsuoka


Once the appropriate model was developed, the steady-state and dynamic characteristics such as multiple steady states and stability etc. can be analyzed. Multiple steady states are analyzed from the point of view of Catastrophy. The dynamic characteristics around the steady state are analyzed based on the perturbation of the state and the stability analysis with phase plane analysis. The bifurcation analysis is briefly explained for the limit cycle bifurcating from the steady state as Hopf-bifurcation. The dynamics of continuous stirred tank fermenter (CSTF) for the different expression of the cell growth rate is explained. The dynamics of the Lotka-Volterra population model is explained. The chaotic behavior is also explained for the simple logistic model.

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