Resonant amplification of enzymatic chemical oscillations by oscillating flow

Journal Article · Thu Sep 23 04:00:00 EDT 2021 · Chaos: An Interdisciplinary Journal of Nonlinear Science

DOI:https://doi.org/10.1063/5.0061927· OSTI ID:1850630

Shklyaev, Oleg E. ^[1]; Balazs, Anna C. ^[2]

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1. Univ. of Pittsburgh, PA (United States). Dept. of Chemical Engineering; Univ. of Pittsburgh, PA (United States)
2. Univ. of Pittsburgh, PA (United States). Dept. of Chemical Engineering

Using theory and simulation, we analyzed the resonant amplification of chemical oscillations that occur due to externally imposed oscillatory fluid flows. The chemical reactions are promoted by two enzyme-coated patches located sequentially on the inner surface of a pipe that transports the enclosed chemical solution. In the case of diffusion-limited systems, the period of oscillations in chemical reaction networks is determined by the rate of the chemical transport, which is diffusive in nature and, therefore, can be effectively accelerated by the imposed fluid flows. In this work, we first identify the natural frequencies of the chemical oscillations in the unperturbed reaction–diffusion system and, then, use the frequencies as a forcing input to drive the system to resonance. We demonstrate that flow-induced resonance can be used to amplify the amplitude of the chemical oscillations and to synchronize their frequency to the external forcing. In particular, we show that even 10% perturbations in the flow velocities can double the amplitude of the resulting chemical oscillations. Particularly, effective control can be achieved for the two-step chemical reactions where during the first half-period, the fluid flow accelerates the chemical flux toward the second catalytic patch, while during the second half-period, the flow amplifies the flux to the first patch. The results can provide design rules for regulating the dynamics of coupled reaction–diffusion processes and can facilitate the development of chemical reaction networks that act as chemical clocks.

• Research Organization: Northwestern Univ., Evanston, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
• Grant/Contract Number: SC0000989
• OSTI ID: 1850630
• Journal Information: Chaos: An Interdisciplinary Journal of Nonlinear Science, Journal Name: Chaos: An Interdisciplinary Journal of Nonlinear Science Journal Issue: 9 Vol. 31; ISSN 1054-1500
• Publisher: American Institute of Physics (AIP)
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICS AND COMPUTING
Catalysts and catalysis
Chemical oscillation
Chemical reaction dynamics
Chemical reaction network theory
Chemical solutions
Enzymes
Linear stability analysis
Mathematics
Oscillating flow
Physics
Reaction-diffusion system