Numerical analysis of randomly forced glycolitic oscillations

Journal Article · Tue Mar 10 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4913074· OSTI ID:22391164

Ryashko, Lev ^[1]

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1. Ural Federal University, Lenina 51, Ekaterinburg, 620083 (Russian Federation)

Randomly forced glycolytic oscillations in Higgins model are studied both numerically and analytically. Numerical analysis is based on the direct simulation of the solutions of stochastic system. Non-uniformity of the stochastic bundle along the deterministic cycle is shown. For the analytical investigation of the randomly forced Higgins model, the stochastic sensitivity function technique and confidence domains method are applied. Results of the influence of additive noise on the cycle of this model are given.

• OSTI ID: 22391164
• Journal Information: AIP Conference Proceedings, Vol. 1648, Issue 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ADDITIVES
COMPUTERIZED SIMULATION
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
NOISE
NUMERICAL ANALYSIS
OSCILLATIONS
RANDOMNESS
SENSITIVITY
STOCHASTIC PROCESSES