Piecewise Linear Dynamical System Modeling Gene Network with Variable Feedback

Piecewise Linear Dynamical System Modeling Gene Network with Variable Feedback

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...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2018-03, Vol.230 (1), p.46-54
Hauptverfasser: Golubyatnikov, V. P., Kazantsev, M. V.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
COMPUTERIZED SIMULATION
DYNAMICAL SYSTEMS
GENES
GEOMETRY
KINETICS
MATHEMATICAL METHODS AND COMPUTING
Mathematics
Mathematics and Statistics
SURFACES
THREE-DIMENSIONAL CALCULATIONS
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Beschreibung
Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-018-3725-0