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Sheehy J, Hunter I, Moustaka ME, Aghvami SA, Fahmy Y, Fraden S. Impact of PDMS-Based Microfluidics on Belousov-Zhabotinsky Chemical Oscillators. J Phys Chem B 2020; 124:11690-11698. [PMID: 33315410 DOI: 10.1021/acs.jpcb.0c08422] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023]
Abstract
Sub-nanoliter volumes of the Belousov-Zhabotinsky (BZ) reaction are sealed in microfluidic devices made from polydimethylsiloxane (PDMS). Bromine, which is a BZ reaction intermediate that participates in the inhibitory pathway of the reaction, is known to permeate into PDMS, and it has been suggested that PDMS and bromine can react ( J. Phys. Chem. A. 108, 2004, 1325-1332). We characterize the extent to which PDMS affects BZ oscillations by varying the volume of the PDMS surrounding the BZ reactors. We measure how the oscillation period varies with PDMS volume and compare with a theoretical reaction-diffusion model, concluding that bromine reacts with PDMS. We demonstrate that minimizing the amount of PDMS by making the samples as thin as possible maximizes the number of oscillations before the BZ reaction reaches equilibrium and ceases to oscillate. We also demonstrate that the deleterious effects of the PDMS-BZ interactions are somewhat mitigated by imposing constant chemical boundary conditions through using a light-sensitive catalyst, ruthenium, in combination with patterned illumination. Furthermore, we show that light can modulate the frequency and phase of the BZ oscillators contained in a PDMS matrix by 20-30%.
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Affiliation(s)
- James Sheehy
- Department of Physics, Brandeis University, Waltham, Massachusetts 02453, United States
| | - Ian Hunter
- Department of Physics, Brandeis University, Waltham, Massachusetts 02453, United States
| | - Maria Eleni Moustaka
- Department of Physics, Brandeis University, Waltham, Massachusetts 02453, United States
| | - S Ali Aghvami
- Department of Physics, Brandeis University, Waltham, Massachusetts 02453, United States
| | - Youssef Fahmy
- Department of Physics, Brandeis University, Waltham, Massachusetts 02453, United States
| | - Seth Fraden
- Department of Physics, Brandeis University, Waltham, Massachusetts 02453, United States
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Light and chemical oscillations: Review and perspectives. JOURNAL OF PHOTOCHEMISTRY AND PHOTOBIOLOGY C-PHOTOCHEMISTRY REVIEWS 2020. [DOI: 10.1016/j.jphotochemrev.2019.100321] [Citation(s) in RCA: 13] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Toth R, Taylor AF. The Tris(2,2'-Bipyridyl)Ruthenium-Catalysed Belousov–Zhabotinsky Reaction. PROGRESS IN REACTION KINETICS AND MECHANISM 2019. [DOI: 10.3184/007967406779946928] [Citation(s) in RCA: 36] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
The Belousov – Zhabotinsky (BZ) reaction is the prototypical oscillating chemical reaction. The tris(2,2'-bipyridine)ruthenium-catalysed BZ reaction (often simply referred to as the ruthenium-catalysed BZ reaction) displays photosensitivity and has been widely exploited for examination of the effects of illumination on nonlinear reaction kinetics. In this review, we investigate the behaviour of the ruthenium-catalysed BZ reaction. The mechanism of the reaction is analysed and we examine how light sensitivity is incorporated into kinetic models of the reaction. The temporal dynamics of the photosensitive reaction is presented and, finally, we discuss the extraordinary wealth of behaviour that has been observed in the spatially-distributed system when perturbed by visible light.
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Affiliation(s)
- Rita Toth
- University of the West of England, Bristol, UK
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González Ochoa HO, Perales GS, Epstein IR, Femat R. Effects of stochastic time-delayed feedback on a dynamical system modeling a chemical oscillator. Phys Rev E 2018; 97:052214. [PMID: 29906855 DOI: 10.1103/physreve.97.052214] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/10/2018] [Indexed: 06/08/2023]
Abstract
We examine how stochastic time-delayed negative feedback affects the dynamical behavior of a model oscillatory reaction. We apply constant and stochastic time-delayed negative feedbacks to a point Field-Körös-Noyes photosensitive oscillator and compare their effects. Negative feedback is applied in the form of simulated inhibitory electromagnetic radiation with an intensity proportional to the concentration of oxidized light-sensitive catalyst in the oscillator. We first characterize the system under nondelayed inhibitory feedback; then we explore and compare the effects of constant (deterministic) versus stochastic time-delayed feedback. We find that the oscillatory amplitude, frequency, and waveform are essentially preserved when low-dispersion stochastic delayed feedback is used, whereas small but measurable changes appear when a large dispersion is applied.
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Affiliation(s)
- Héctor O González Ochoa
- Departamento de Electrónica, Universidad de Guadalajara. Av. Revolución 1500, 44430, Guadalajara Jal, México
| | - Gualberto Solís Perales
- Departamento de Electrónica, Universidad de Guadalajara. Av. Revolución 1500, 44430, Guadalajara Jal, México
| | - Irving R Epstein
- Department of Chemistry, Brandeis University, Waltham, Massachusetts 02454-9110, USA
| | - Ricardo Femat
- Instituto Potosino de Investigación Científica y Tecnológica A.C., San Luis Potosí, México
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Voorsluijs V, Kevrekidis IG, De Decker Y. Nonlinear behavior and fluctuation-induced dynamics in the photosensitive Belousov-Zhabotinsky reaction. Phys Chem Chem Phys 2017; 19:22528-22537. [PMID: 28809962 DOI: 10.1039/c7cp03260a] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Abstract
The photosensitive Belousov-Zhabotinsky (pBZ) reaction has been used extensively to study the properties of chemical oscillators. In particular, recent experiments revealed the existence of complex spatiotemporal dynamics for systems consisting of coupled micelles (V < 10-21 L) or droplets (V ≈ [10-8-10-11] L) in which the pBZ reaction takes place. These results have been mostly understood in terms of reaction-diffusion models. However, in view of the small size of the droplets and micelles, large fluctuations of concentrations are to be expected. In this work, we investigate the role of fluctuations on the dynamics of a single droplet with stochastic simulations of an extension of the Field-Körös-Noyes (FKN) model taking into account the photosensitivity. The birhythmicity and chaotic behaviors predicted by the FKN model in the absence of fluctuations become transient or intermittent regimes whose lifetime decreases with the size of the droplet. Simple oscillations are more robust and can be observed even in small systems (V > 10-12 L), which justifies the use of deterministic models in microfluidic systems of coupled oscillators. The simulations also reveal that fluctuations strongly affect the efficiency of inhibition by light, which is often used to control the kinetics of these systems: oscillations are found for parameter values for which they are supposed to be quenched according to deterministic predictions.
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Affiliation(s)
- Valérie Voorsluijs
- Center for Nonlinear Phenomena and Complex Systems (CENOLI), Université libre de Bruxelles (ULB), Campus Plaine, C.P. 231, B-1050 Brussels, Belgium.
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Gizynski K, Gorecki J. Chemical memory with states coded in light controlled oscillations of interacting Belousov–Zhabotinsky droplets. Phys Chem Chem Phys 2017; 19:6519-6531. [DOI: 10.1039/c6cp07492h] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
Abstract
The information storing potential of droplets, in which an oscillatory, photosensitive Belousov–Zhabotinsky (BZ) reaction proceeds, is investigated experimentally.
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Affiliation(s)
- Konrad Gizynski
- Institute of Physical Chemistry
- Polish Academy of Sciences
- 01-224 Warsaw
- Poland
| | - Jerzy Gorecki
- Institute of Physical Chemistry
- Polish Academy of Sciences
- 01-224 Warsaw
- Poland
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Simakov DSA, Pérez-Mercader J. Effect of Noise Correlation on Noise-Induced Oscillation Frequency in the Photosensitive Belousov–Zhabotinsky Reaction in a Continuous Stirred Tank Reactor. J Phys Chem A 2013; 117:13999-4005. [DOI: 10.1021/jp409033j] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
Affiliation(s)
- David S. A. Simakov
- Department
of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts 02138, United States
| | - Juan Pérez-Mercader
- Department
of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts 02138, United States
- Santa Fe Institute, Santa Fe, New Mexico 87501, United States
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Delgado J, Zhang Y, Xu B, Epstein IR. Terpyridine- and Bipyridine-Based Ruthenium Complexes as Catalysts for the Belousov−Zhabotinsky Reaction. J Phys Chem A 2011; 115:2208-15. [DOI: 10.1021/jp111724t] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Jorge Delgado
- Department of Chemistry, Brandeis University, Waltham, Massachusetts 02454-9110, United States
| | - Ye Zhang
- Department of Chemistry, Brandeis University, Waltham, Massachusetts 02454-9110, United States
| | - Bing Xu
- Department of Chemistry, Brandeis University, Waltham, Massachusetts 02454-9110, United States
| | - Irving R. Epstein
- Department of Chemistry, Brandeis University, Waltham, Massachusetts 02454-9110, United States
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Vanag VK, Epstein IR. A model for jumping and bubble waves in the Belousov–Zhabotinsky-aerosol OT system. J Chem Phys 2009. [DOI: 10.1063/1.3231488] [Citation(s) in RCA: 43] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Shaik OS, Kammerer J, Gorecki J, Lebiedz D. Derivation of a quantitative minimal model from a detailed elementary-step mechanism supported by mathematical coupling analysis. J Chem Phys 2005; 123:234103. [PMID: 16392910 DOI: 10.1063/1.2136882] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Accurate experimental data increasingly allow the development of detailed elementary-step mechanisms for complex chemical and biochemical reaction systems. Model reduction techniques are widely applied to obtain representations in lower-dimensional phase space which are more suitable for mathematical analysis, efficient numerical simulation, and model-based control tasks. Here, we exploit a recently implemented numerical algorithm for error-controlled computation of the minimum dimension required for a still accurate reduced mechanism based on automatic time scale decomposition and relaxation of fast modes. We determine species contributions to the active (slow) dynamical modes of the reaction system and exploit this information in combination with quasi-steady-state and partial-equilibrium approximations for explicit model reduction of a novel detailed chemical mechanism for the Ru-catalyzed light-sensitive Belousov-Zhabotinsky reaction. The existence of a minimum dimension of seven is demonstrated to be mandatory for the reduced model to show good quantitative consistency with the full model in numerical simulations. We derive such a maximally reduced seven-variable model from the detailed elementary-step mechanism and demonstrate that it reproduces quantitatively accurately the dynamical features of the full model within a given accuracy tolerance.
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Affiliation(s)
- O S Shaik
- Interdisciplinary Center for Scientific Computing, Im Neuenheimer Feld 368, D-69120 Heidelberg, Germany
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Sakurai T, Mihaliuk E, Chirila F, Showalter K. Design and control of wave propagation patterns in excitable media. Science 2002; 296:2009-12. [PMID: 11988535 DOI: 10.1126/science.1071265] [Citation(s) in RCA: 175] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
Intricate patterns of wave propagation are exhibited in a chemical reaction-diffusion system with spatiotemporal feedback. Wave behavior is controlled by feedback-regulated excitability gradients that guide propagation in specified directions. Waves interacting with boundaries and with other waves are observed when interaction terms are incorporated into the control algorithm. Spatiotemporal feedback offers wide flexibility for designing and controlling wave behavior in excitable media.
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Affiliation(s)
- Tatsunari Sakurai
- Department of Chemistry, West Virginia University, Morgantown, WV 26506, USA
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Alonso S, Sendiña-Nadal I, Pérez-Muñuzuri V, Sancho JM, Sagués F. Regular wave propagation out of noise in chemical active media. PHYSICAL REVIEW LETTERS 2001; 87:078302. [PMID: 11497926 DOI: 10.1103/physrevlett.87.078302] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/01/2001] [Indexed: 05/23/2023]
Abstract
A pacemaker, regularly emitting chemical waves, is created out of noise when an excitable photosensitive Belousov-Zhabotinsky medium, strictly unable to autonomously initiate autowaves, is forced with a spatiotemporal patterned random illumination. These experimental observations are also reproduced numerically by using a set of reaction-diffusion equations for an activator-inhibitor model, and further analytically interpreted in terms of genuine coupling effects arising from parametric fluctuations. Within the same framework we also address situations of noise-sustained propagation in subexcitable media.
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Affiliation(s)
- S Alonso
- Departament de Química Física, Universitat de Barcelona, Avenida Diagonal 647, 08028 Barcelona, Spain.
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Vanag VK, Zhabotinsky AM, Epstein IR. Oscillatory clusters in the periodically illuminated, spatially extended Belousov-Zhabotinsky reaction. PHYSICAL REVIEW LETTERS 2001; 86:552-555. [PMID: 11177878 DOI: 10.1103/physrevlett.86.552] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/10/2000] [Indexed: 05/23/2023]
Abstract
Cluster-cluster transitions in the periodically illuminated photosensitive Belousov-Zhabotinsky (BZ) reaction-diffusion system exhibit the same scenario as in the autonomous BZ system with negative global feedback: two-phase clusters <--> three-phase clusters <--> irregular clusters <--> localized clusters. Transitions induced by changing the dark ( TD) or light ( TL) phases of the periodic external square wave illumination are dependent not only on the frequency of illumination at constant TD/TL, but also on the ratio TD/TL at constant frequency (when TD+TL = const).
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Affiliation(s)
- V K Vanag
- Department of Chemistry and Volen Center for Complex Systems, Brandeis University, MS 015, Waltham, Massachusetts 02454-9110, USA
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Vanag VK, Zhabotinsky AM, Epstein IR. Pattern Formation in the Belousov−Zhabotinsky Reaction with Photochemical Global Feedback. J Phys Chem A 2000. [DOI: 10.1021/jp002390h] [Citation(s) in RCA: 59] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Vladimir K. Vanag
- Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, P.O. Box 549110, Waltham, Massachusetts 02454-9110
| | - Anatol M. Zhabotinsky
- Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, P.O. Box 549110, Waltham, Massachusetts 02454-9110
| | - Irving R. Epstein
- Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, P.O. Box 549110, Waltham, Massachusetts 02454-9110
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