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Graphical and analytic criteria for the existence of protein level oscillations in cyclic gene regulatory networks | IEEE Conference Publication | IEEE Xplore

Graphical and analytic criteria for the existence of protein level oscillations in cyclic gene regulatory networks


Abstract:

This paper investigates the criteria for the existence of protein level oscillations in a class of gene regulatory networks, where a nonlinear differential equation model...Show More

Abstract:

This paper investigates the criteria for the existence of protein level oscillations in a class of gene regulatory networks, where a nonlinear differential equation model is considered to analyze its dynamical behavior. There are two steps to derive such criteria: We first employ a Poincare¿-Bendixson type theorem to restrict the class of solution trajectories, and then carry out a local stability analysis of linearized systems with a generalized frequency variable. Then, our main results, graphical and its equivalent analytic criteria which are easily applicable for the networks consisting of arbitrary number of genes, are derived. Their distinctive features are also verified through numerical simulations.
Date of Conference: 15-18 December 2009
Date Added to IEEE Xplore: 29 January 2010
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Conference Location: Shanghai, China

References

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