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DOE OSTI · 22771406

Piecewise Linear Dynamical System Modeling Gene Network with Variable Feedback

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Abstract

We construct a discretization of the phase portrait of a 3-dimensional dynamical system of biochemical kinetics with piecewise linear right-hand sides. We describe geometry of the phase portrait and construct an invariant piecewise linear surface bounded by a stable cycle of this system composed of eight linear segments.

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97 MATHEMATICS AND COMPUTINGCOMPUTERIZED SIMULATIONDYNAMICAL SYSTEMSGENESGEOMETRYKINETICSSURFACESTHREE-DIMENSIONAL CALCULATIONS

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2018-04-15. Piecewise Linear Dynamical System Modeling Gene Network with Variable Feedback. https://doi.org/10.1007/s10958-018-3725-0

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