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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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2
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Adamatzky A, Tsompanas M, Draper TC, Fullarton C, Mayne R. Liquid Marble Photosensor. Chemphyschem 2019; 21:90-98. [PMID: 31696651 DOI: 10.1002/cphc.201900949] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/28/2019] [Revised: 10/30/2019] [Indexed: 01/31/2023]
Affiliation(s)
- Andrew Adamatzky
- Unconventional Computing LaboratoryUniversity of the West of England, Coldharbour Lane Bristol BS16 1QY UK
| | | | - Thomas C. Draper
- Unconventional Computing LaboratoryUniversity of the West of England, Coldharbour Lane Bristol BS16 1QY UK
| | - Claire Fullarton
- Unconventional Computing LaboratoryUniversity of the West of England, Coldharbour Lane Bristol BS16 1QY UK
| | - Richard Mayne
- Unconventional Computing LaboratoryUniversity of the West of England, Coldharbour Lane Bristol BS16 1QY UK
- Department of Applied SciencesUniversity of the West of England, Coldharbour Lane Bristol BS16 1QY UK
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3
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Steinbock O, Wackerbauer R, Horváth D. Nonlinear Chemical Dynamics and Its Interdisciplinary Impact: Dedicated to Ken Showalter on the Occasion of his 70th Birthday. CHAOS (WOODBURY, N.Y.) 2019; 29:080401. [PMID: 31472519 DOI: 10.1063/1.5120508] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/18/2019] [Accepted: 07/18/2019] [Indexed: 05/22/2023]
Affiliation(s)
- Oliver Steinbock
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, USA
| | - Renate Wackerbauer
- Department of Physics, University of Alaska, Fairbanks, Alaska 99775-5920, USA
| | - Dezső Horváth
- Department of Applied and Environmental Chemistry, University of Szeged, Rerrich Béla tér 1, Szeged H-6720, Hungary
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4
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Taylor AF. Mechanism and Phenomenology of an Oscillating Chemical Reaction. PROGRESS IN REACTION KINETICS AND MECHANISM 2019. [DOI: 10.3184/007967402103165414] [Citation(s) in RCA: 97] [Impact Index Per Article: 19.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
Chemical reactions, which are far from equilibrium, are capable of displaying oscillations in species concentrations and hence in colour, electrode potential, pH and/or temperature. The oscillations arise from the interplay between positive and negative kinetic feedback. Mechanisms for such reactions are presented, along with the rich phenomenology that these systems exhibit, from complex oscillations and chemical waves, to stationary concentration patterns. This review will focus on the Belousov-Zhabotinksy reaction but reference to other reactions will be made where appropriate.
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5
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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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6
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Ban T, Kaji M, Nagatsu Y, Tokuyama H. Propagating Precipitation Waves in Disordered Media. ACS OMEGA 2017; 2:8027-8032. [PMID: 31457353 PMCID: PMC6645417 DOI: 10.1021/acsomega.7b01271] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/30/2017] [Accepted: 11/06/2017] [Indexed: 06/01/2023]
Abstract
The study presented in this paper investigates form changes of propagating waves generated through precipitation reactions in a gel matrix that possesses an inhomogeneous microstructure. The waves demonstrate form changes from a single ring-like pattern to multiple target-like waves. Subsequently, the waves take up a spiral form and ultimately manifest themselves in the form of a turbulence pattern that intensifies with increasing fluctuations within the gel structure. An investigation into the dynamics of the precipitation waves reveals the existence of an anomalous diffusion. The effective diffusion coefficients are found to increase linearly with the quenching temperature. Further, it is revealed through the analysis of the anomalous diffusion dynamics that precipitation patterns could be adequately controlled by adjusting the permeability fluctuations within the gel structure. The findings of this study lead to a greater understanding of the spontaneous creation of precipitation patterns by a system driven by disorder.
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Affiliation(s)
- Takahiko Ban
- Division
of Chemical Engineering, Department of Materials Engineering Science,
Graduate School of Engineering Science, Osaka University, Machikaneyamacho
1-3, Toyonaka City, Osaka 560-8531, Japan
| | - Masaru Kaji
- Graduate
School of Decision Science and Technology, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8552, Japan
- Japan
Society for the Promotion of Science, 8 Ichibancho, Kojimachi, Chiyoda-ku, Tokyo 102-8472, Japan
| | - Yuichiro Nagatsu
- Department
of Chemical Engineering, Tokyo University
of Agriculture and Technology, 2-24-16 Naka-cho, Koganei, Tokyo 184-8588, Japan
| | - Hideaki Tokuyama
- Department
of Chemical Engineering, Tokyo University
of Agriculture and Technology, 2-24-16 Naka-cho, Koganei, Tokyo 184-8588, Japan
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7
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Azhand A, Buchholz R, Totz JF, Engel H. A novel technique to initiate and investigate scroll waves in thin layers of the photosensitive Belousov-Zhabotinsky reaction. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2016; 39:61. [PMID: 27329535 DOI: 10.1140/epje/i2016-16061-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/30/2016] [Revised: 06/07/2016] [Accepted: 06/08/2016] [Indexed: 06/06/2023]
Abstract
While free scroll rings are non-stationary objects that either grow or contract with time, spatial confinement can have a large impact on their evolution reaching from significant lifetime extension (J.F. Totz, H. Engel, O. Steinbock, New J. Phys. 17, 093043 (2015)) up to formation of stable stationary and breathing pacemakers (A. Azhand, J.F. Totz, H. Engel, EPL 108, 10004 (2014)). Here, we explore the parameter range in which the interaction between an axis-symmetric scroll ring and a confining planar no-flux boundary can be studied experimentally in transparent gel layers supporting chemical wave propagation in the photosensitive variant of the Belousov-Zhabotinsky medium. Based on full three-dimensional simulations of the underlying modified complete Oregonator model for experimentally realistic parameters, we determine the conditions for successful initiation of scroll rings in a phase diagram spanned by the layer thickness and the applied light intensity. Furthermore, we discuss whether the illumination-induced excitability gradient due to Lambert-Beer's law as well as a possible inclination of the filament plane with respect to the no-flux boundary can destabilize the scroll ring.
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Affiliation(s)
- Arash Azhand
- Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, D-10623, Berlin, Germany.
| | - Rico Buchholz
- Theoretische Physik V, Universität Bayreuth, Univeristätsstrasse 30, D-95440, Bayreuth, Germany
| | - Jan F Totz
- Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, D-10623, Berlin, Germany
| | - Harald Engel
- Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, D-10623, Berlin, Germany
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8
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Budroni MA, Lemaigre L, Escala DM, Muñuzuri AP, De Wit A. Spatially Localized Chemical Patterns around an A + B → Oscillator Front. J Phys Chem A 2016; 120:851-60. [DOI: 10.1021/acs.jpca.5b10802] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- M. A. Budroni
- Department
of Chemistry and Pharmacy, University of Sassari, 07100 Sassari, Italy
| | - L. Lemaigre
- Université libre de Bruxelles (ULB), Nonlinear
Physical Chemistry Unit, Faculté
des Sciences, CP231, 1050 Brussels, Belgium
| | - D. M. Escala
- Nonlinear
Physics Group, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain
| | - A. P. Muñuzuri
- Nonlinear
Physics Group, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain
| | - A. De Wit
- Université libre de Bruxelles (ULB), Nonlinear
Physical Chemistry Unit, Faculté
des Sciences, CP231, 1050 Brussels, Belgium
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9
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Nakata S, Suzuki S, Ezaki T, Kitahata H, Nishi K, Nishiura Y. Response of a chemical wave to local pulse irradiation in the ruthenium-catalyzed Belousov-Zhabotinsky reaction. Phys Chem Chem Phys 2015; 17:9148-52. [PMID: 25757627 DOI: 10.1039/c5cp00897b] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The photo-sensitive Belousov-Zhabotinsky (BZ) reaction system was investigated to understand the response of wave propagation to local pulse stimulation in an excitable field. When the chemical wave was irradiated with a bright pulse or a dark pulse, the speed of wave propagation decreased or increased. The timing of pulse irradiation that significantly affected the speed of chemical wave propagation was different with the bright and dark pulses. That is, there is a sensitive point in the chemical wave. The experimental results were qualitatively reproduced by a numerical calculation based on a three-variable Oregonator model that was modified for the photosensitive BZ reaction. These results suggest that the chemical wave is sensitive to the timing of pulse irradiation due to the rates of production of an activator and an inhibitor in the photochemical reaction.
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Affiliation(s)
- Satoshi Nakata
- Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan.
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10
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Spontaneous formation of unidirectional path. Chem Phys Lett 2014. [DOI: 10.1016/j.cplett.2014.10.010] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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11
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Nakata S, Ezaki T, Ikura YS, Kitahata H. Chemical Wave Propagation Preserved on an Inhibitory Field in the Ruthenium-Catalyzed Belousov–Zhabotinsky Reaction. J Phys Chem A 2013; 117:10615-8. [DOI: 10.1021/jp408080y] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Satoshi Nakata
- Graduate
School of Science, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima 739-8526, Japan
| | - Takato Ezaki
- Graduate
School of Science, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima 739-8526, Japan
| | - Yumihiko S. Ikura
- Graduate
School of Science, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima 739-8526, Japan
| | - Hiroyuki Kitahata
- Department
of Physics, Graduate School of Science, Chiba University, 1-33, Yayoi-cho, Inage-ku, Chiba 263-8522, Japan
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12
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Kinoshita SI, Iwamoto M, Tateishi K, Suematsu NJ, Ueyama D. Mechanism of spiral formation in heterogeneous discretized excitable media. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013; 87:062815. [PMID: 23848737 DOI: 10.1103/physreve.87.062815] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/19/2013] [Indexed: 06/02/2023]
Abstract
Spiral waves on excitable media strongly influence the functions of living systems in both a positive and negative way. The spiral formation mechanism has thus been one of the major themes in the field of reaction-diffusion systems. Although the widely believed origin of spiral waves is the interaction of traveling waves, the heterogeneity of an excitable medium has recently been suggested as a probable cause. We suggest one possible origin of spiral waves using a Belousov-Zhabotinsky reaction and a discretized FitzHugh-Nagumo model. The heterogeneity of the reaction field is shown to stochastically generate unidirectional sites, which can induce spiral waves. Furthermore, we found that the spiral wave vanished with only a small reduction in the excitability of the reaction field. These results reveal a gentle approach for controlling the appearance of a spiral wave on an excitable medium.
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Affiliation(s)
- Shu-ichi Kinoshita
- Meiji Institute for Advanced Study of Mathematical Sciences (MIMS), 4-21-1 Nakano, Tokyo 164-8525, Japan
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13
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Yang Z, Gao S, Ouyang Q, Wang H. Scroll wave meandering induced by phase difference in a three-dimensional excitable medium. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 86:056209. [PMID: 23214859 DOI: 10.1103/physreve.86.056209] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/26/2012] [Indexed: 06/01/2023]
Abstract
We investigated scroll waves in an inhomogeneous excitable 3D system with gradient of excitability. The gradient promotes twisting of the scroll waves. Sufficiently large excitability gradient enhances the twisting and causes simple scroll waves to transition to meandering scroll waves. For the twist-induced instability of scroll waves, we analyzed the stability of 2D spiral waves sliced from the twisted scroll in the vertical direction. The 3D problem is simplified by taking into account the diffusive coupling in the third direction as a time-delayed perturbation to the 2D spiral wave. An additional "negative mass" term measuring the twist thus arises in the 2D system and induces the transition from simple rotation to meandering. A further increase in the gradient ruins partially the unity of the meandering scrolls and generates semiturbulence, the analogs of which were observed in the Belousov-Zhabotinski reaction. We also generated the phase diagram in the parameter space by adjusting the threshold for excitation of the media.
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Affiliation(s)
- Zhao Yang
- State key Laboratory for Mesoscopic Physics and School of Physics, Peking University, Beijing 100871, China
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14
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Nakata S, Kashima K, Kitahata H, Mori Y. Phase Wave between Two Oscillators in the Photosensitive Belousov−Zhabotinsky Reaction Depending on the Difference in the Illumination Time. J Phys Chem A 2010; 114:9124-9. [DOI: 10.1021/jp105204n] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Satoshi Nakata
- Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Department of Physics, Graduate School of Science, Chiba University, Yayoi-cho 1-33, Inage-ku, Chiba 263-8522, Japan, PRESTO, JST, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan, and Graduate School of Humanities and Sciences, Ochanomizu University, 2-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610, Japan
| | - Kenji Kashima
- Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Department of Physics, Graduate School of Science, Chiba University, Yayoi-cho 1-33, Inage-ku, Chiba 263-8522, Japan, PRESTO, JST, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan, and Graduate School of Humanities and Sciences, Ochanomizu University, 2-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610, Japan
| | - Hiroyuki Kitahata
- Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Department of Physics, Graduate School of Science, Chiba University, Yayoi-cho 1-33, Inage-ku, Chiba 263-8522, Japan, PRESTO, JST, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan, and Graduate School of Humanities and Sciences, Ochanomizu University, 2-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610, Japan
| | - Yoshihito Mori
- Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Department of Physics, Graduate School of Science, Chiba University, Yayoi-cho 1-33, Inage-ku, Chiba 263-8522, Japan, PRESTO, JST, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan, and Graduate School of Humanities and Sciences, Ochanomizu University, 2-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610, Japan
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15
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Perturbation mechanism and phase transition of AOT aggregates in the Fe(II)[batho(SO3)2]3 – catalyzed aqueous Belousov–Zhabotinsky reaction. Chem Phys Lett 2010. [DOI: 10.1016/j.cplett.2009.12.050] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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16
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Ichino T, Fujio K, Matsushita M, Nakata S. Wave Propagation in the Photosensitive Belousov−Zhabotinsky Reaction Across an Asymmetric Gap. J Phys Chem A 2009; 113:2304-8. [DOI: 10.1021/jp809955z] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Takatoshi Ichino
- Department of Intelligent Systems, School of Biology-Oriented Science and Technology, Kinki University, Wakayama 649-6493, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, and Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan
| | - Kenji Fujio
- Department of Intelligent Systems, School of Biology-Oriented Science and Technology, Kinki University, Wakayama 649-6493, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, and Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan
| | - Mariko Matsushita
- Department of Intelligent Systems, School of Biology-Oriented Science and Technology, Kinki University, Wakayama 649-6493, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, and Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan
| | - Satoshi Nakata
- Department of Intelligent Systems, School of Biology-Oriented Science and Technology, Kinki University, Wakayama 649-6493, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, and Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan
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17
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Bánsági T, Steinbock O. Three-dimensional spiral waves in an excitable reaction system: initiation and dynamics of scroll rings and scroll ring pairs. CHAOS (WOODBURY, N.Y.) 2008; 18:026102. [PMID: 18601504 DOI: 10.1063/1.2896100] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/26/2023]
Abstract
We report experimental results on spiral and scroll waves in the 1,4-cyclohexanedione Belousov-Zhabotinsky reaction. The propagating concentration waves are detected by two-dimensional photometry and optical tomography. Wave pulses can disappear in front-to-front and front-to-back collisions. This anomaly causes the nucleation of vortices from collisions of three nonrotating waves. In three-dimensional systems, these vortices are scroll rings that rotate around initially circular filaments. Depending on reactant concentrations, the filaments shrink or expand indicating positive and negative filament tensions, respectively. Shrinkage results in vortex annihilation. Expansion is accompanied by filament buckling and bending, which is interpreted as developing Winfree turbulence. We also describe the initiation of scroll ring pairs in four-wave collisions. The two filaments are stacked on top of each other and their motion suggests filament repulsion.
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Affiliation(s)
- Tamás Bánsági
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, USA
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18
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Tanaka M, Nagahara H, Kitahata H, Krinsky V, Agladze K, Yoshikawa K. Survival versus collapse: abrupt drop of excitability kills the traveling pulse, while gradual change results in adaptation. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2007; 76:016205. [PMID: 17677541 DOI: 10.1103/physreve.76.016205] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/21/2007] [Indexed: 05/16/2023]
Abstract
Excitable media show changes in their basic characteristics that reflect temporal changes in the environment. In the photosensitive Belousov-Zhabotinsky (BZ) reaction, excitability is decreased by illumination. We found that a traveling pulse failed to propagate when a certain level of light intensity was switched on abruptly, but the pulse continued propagating when the light intensity reached the same level gradually. We investigated the mechanism of adaptation of pulse propagation to the change in light intensity using two mathematical models, the Oregonator model (a specific model for the photosensitive BZ reaction), and the FitzHugh-Nagumo model (a generic model for excitable media). The appearance of a characteristic such as adaptation is shown to be a general feature for a traveling pulse in excitable media.
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Affiliation(s)
- Masanobu Tanaka
- Department of Physics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan
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19
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Matsushita M, Nakata S, Kitahata H. Characteristic Features in the Collision of Chemical Waves Depending on the Aspect Ratio of a Rectangular Field. J Phys Chem A 2007; 111:5833-8. [PMID: 17555302 DOI: 10.1021/jp068207n] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The photosensitive Belousov-Zhabotinsky (BZ) reaction was investigated on a double rectangular field composed of two rectangular routes, which was drawn using computer software and then projected using a liquid-crystal projector on a filter paper soaked with BZ solution. When two chemical waves were generated on the rectangular routes as the initial condition, the nature of the collision of the waves could be theoretically classified into four categories depending on the initial phase difference between the two waves and the aspect ratio of the rectangular routes. The experimental results were consistent with the features of the theoretical prediction. These results suggest that the feature of wave propagation characteristically develops depending on the geometry of the excitable fields.
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Affiliation(s)
- Mariko Matsushita
- Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan
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20
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Nakata S, Morishima S, Ichino T, Kitahata H. Coexistence of Wave Propagation and Oscillation in the Photosensitive Belousov−Zhabotinsky Reaction on a Circular Route. J Phys Chem A 2006; 110:13475-8. [PMID: 17165872 DOI: 10.1021/jp0636221] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The photosensitive Belousov-Zhabotinsky (BZ) reaction was investigated on a circular ring, which was drawn using computer software and then projected on a film soaked with BZ solution using a liquid-crystal projector. Under the initial conditions, a chemical wave propagated with a constant velocity on the black ring under a bright background. When the background was rapidly changed to dark, coexistence of the oscillation on part of the ring and propagation of the chemical wave on the other part was observed. These experimental results are discussed in relation to the nature of the photosensitive BZ reaction and theoretically reproduced based on a reaction-diffusion system using the modified Oregonator model.
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Affiliation(s)
- Satoshi Nakata
- Department of Chemistry, Nara University of Education, Nara 630-8528, Japan.
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Nakata S, Morishima S, Kitahata H. Interactive Propagation of Photosensitive Chemical Waves on Two Circular Routes. J Phys Chem A 2006; 110:3633-7. [PMID: 16526645 DOI: 10.1021/jp056881j] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The propagation of chemical waves in the photosensitive Belousov-Zhabotinsky (BZ) reaction was investigated using an excitable field composed of two rings in slight contact, which were drawn using computer software and then projected on a film soaked with BZ solution using a liquid-crystal projector. When the initial phase difference between the two chemical waves in the individual rings was smaller than a critical value, this initial value was maintained after collision of the chemical waves. However, when the initial phase difference was larger than this critical value, the phase difference converged to the same value after the second collision. The critical value increased with an increase in the thickness of the rings. These experimental results on the geometry of the excitable field are discussed in relation to the nature of chemical wave propagation. These results suggest that the photosensitive BZ reaction may be useful for creating spatiotemporal patterns that depend on the geometric arrangement of excitable fields.
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Affiliation(s)
- Satoshi Nakata
- Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan.
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22
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Kettunen P, Bourke P, Hashimoto H, Amemiya T, Müller S, Yamaguchi T. Computational study of helix wave formation in active media. ACTA ACUST UNITED AC 2005. [DOI: 10.1016/j.mcm.2004.01.007] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Nagahara H, Ichino T, Yoshikawa K. Direction detector on an excitable field: field computation with coincidence detection. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2004; 70:036221. [PMID: 15524626 DOI: 10.1103/physreve.70.036221] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/12/2004] [Indexed: 05/24/2023]
Abstract
Living organisms process information without any central control unit and without any ruling clock. We have been studying a novel computational strategy that uses a geometrically arranged excitable field, i.e., "field computation." As an extension of this research, in the present article we report the construction of a "direction detector" on an excitable field. Using a numerical simulation, we show that the direction of a input source signal can be detected by applying the characteristic as a "coincidence detector" embedded on an excitable field. In addition, we show that this direction detection actually works in an experiment using an excitable chemical system. These results are discussed in relation to the future development of "field computation."
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Affiliation(s)
- Hiroki Nagahara
- Department of Physics, Graduate School of Science, Kyoto University & CREST, Kyoto 606-8502, Japan
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Kirner T, Ackermann J. Pattern selection in a cooperative biochemical in vitro amplification system: the role of parasites. J Theor Biol 2003; 224:539-49. [PMID: 12957125 DOI: 10.1016/s0022-5193(03)00202-9] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Previously, numerical simulations have shown that evolving systems can be stabilized against emerging parasites by pattern formation in spatially extended flow reactors. Hence, it can be argued that pattern formation is a prerequisite for any experimental investigation of the biochemical evolution of cooperative function. Here, we study a model of an experimental biochemical system for the cooperative in vitro amplification of DNA strands and show that emerging parasites can induce a complex pattern formation even when no pattern formation occurs without parasites. In an adiabatic approximation where the cooperative amplification reaction is assumed to adapt fast to slowly emerging parasites, the parasite concentration itself acts as a Steuer parameter for the selection of various complex patterns. Without such an adiabatic approximation only transient patterns emerge. As any species can grow for very low concentrations, the parasite is able to infect the entire reactor and the system is finally diluted out. In the experimental biochemical system, however, the species are individual molecules and the growth of spatially separated, non-infected regions becomes feasible. Hence a cutoff threshold for the minimal concentration is applied. In these simulations the otherwise lethal infection by parasites induces the formation of spatiotemporal spirals, and this spatial structure help the host and parasitoid species to survive together. These theoretical results describe an inherent property of cooperative reactions and have an important impact on experimental investigations on the molecular evolution and complex function in spatially extended reactors. Since the formation of the complex pattern is restricted either to a rather large cutoff value or a special choice of the kinetic parameters, we, however, conclude that the persistence of evolving cooperative amplification is not possible in a simple reaction-diffusion reactor. Experimental set-ups with patchy environments, e.g. biomolecular amplification in coupled microstructured flow chambers or in microemulsion, are eligible candidates for the observation of such a self-organized pattern selection.
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Affiliation(s)
- T Kirner
- Fraunhofer Gesellschaft, Biomolecular Information Processing, Schloss Birlinghoven, D-53754 Sankt Augustin, Germany
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Ichino T, Igarashi Y, Motoike IN, Yoshikawa K. Different operations on a single circuit: Field computation on an excitable chemical system. J Chem Phys 2003. [DOI: 10.1063/1.1565103] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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26
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Ivleva TP, Merzhanov AG. Structure and variability of spinning reaction waves in three-dimensional excitable media. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2001; 64:036218. [PMID: 11580433 DOI: 10.1103/physreve.64.036218] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/15/2001] [Indexed: 05/23/2023]
Abstract
A mathematical simulation for a reaction wave that propagates in a cylindrical sample is performed. The propagation modes that have not yet been observed experimentally are predicted. The areas of existence for these modes have been determined.
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Affiliation(s)
- T P Ivleva
- Institute of Structural Macrokinetics and Materials Science of Russian Academy of Sciences, 142432 Chernogolovka, Moscow region, Russia.
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Sendiña-Nadal I, Mihaliuk E, Wang J, Pérez-Muñuzuri V, Showalter K. Wave propagation in subexcitable media with periodically modulated excitability. PHYSICAL REVIEW LETTERS 2001; 86:1646-1649. [PMID: 11290214 DOI: 10.1103/physrevlett.86.1646] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/24/2000] [Revised: 10/02/2000] [Indexed: 05/23/2023]
Abstract
Wave propagation in a photosensitive, subexcitable Belousov-Zhabotinsky medium is made possible by periodic modulation of a homogeneous illumination field. The propagation can be understood in terms of an interplay between the radial expansion of the wave and the motion of its free ends as the excitability varies periodically. This description leads to a simple kinematic analysis that provides insights into the initial conditions and forcing parameters giving rise to sustained wave propagation.
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Affiliation(s)
- I Sendiña-Nadal
- Group of Nonlinear Physics, Facultade de Físicas, Universidade de Santiago de Compostela, Spain
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29
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Akagi T, Okazaki N, Yoshinobu T, Matsumura-Inoue T. Comparative study of chemical waves and temporal oscillations in the Ru(bpy)32+-catalyzed photosensitive Belousov–Zhabotinsky reaction. Chem Phys Lett 2000. [DOI: 10.1016/s0009-2614(00)00907-6] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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31
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32
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Mahara H, Yamaguchi T, Amagishi Y. A numerical study of the decomposition of chemical waves in a closed system. Chem Phys Lett 2000. [DOI: 10.1016/s0009-2614(99)01351-2] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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33
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Amemiya T, Ohmori T, Yamaguchi T. An Oregonator-Class Model for Photoinduced Behavior in the Ru(bpy)32+-Catalyzed Belousov−Zhabotinsky Reaction. J Phys Chem A 1999. [DOI: 10.1021/jp9929317] [Citation(s) in RCA: 57] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Takashi Amemiya
- Department of Chemical Systems, National Institute of Materials and Chemical Research (NIMC), 1-1 Higashi, Tsukuba, Ibaraki 305-8565, Japan
| | - Takao Ohmori
- Department of Chemical Systems, National Institute of Materials and Chemical Research (NIMC), 1-1 Higashi, Tsukuba, Ibaraki 305-8565, Japan
| | - Tomohiko Yamaguchi
- Department of Chemical Systems, National Institute of Materials and Chemical Research (NIMC), 1-1 Higashi, Tsukuba, Ibaraki 305-8565, Japan
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34
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Kettunen P, Amemiya T, Ohmori T, Yamaguchi T. Spontaneous spiral formation in two-dimensional oscillatory media. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1999; 60:1512-5. [PMID: 11969911 DOI: 10.1103/physreve.60.1512] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/12/1999] [Indexed: 04/18/2023]
Abstract
Computational studies of pattern formation in a modified Oregonator model of the Belousov-Zhabotinsky reaction is described. Initially inactive two-dimensional reaction media with an immobilized catalyst is connected to a reservoir of fresh reactants through a set of discrete points distributed randomly over the interphase surface. It is shown that the diffusion of reactants combined with oscillatory reaction kinetics can give rise to spontaneous spiral formation and phase waves.
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Affiliation(s)
- P Kettunen
- Department of Chemical Systems, National Institute of Materials and Chemical Research, Higashi 1-1, Tsukuba, Ibaraki 305-8565, Japan
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35
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Amemiya T, Kettunen P, Kadar S, Yamaguchi T, Showalter K. Formation and evolution of scroll waves in photosensitive excitable media. CHAOS (WOODBURY, N.Y.) 1998; 8:872-878. [PMID: 12779794 DOI: 10.1063/1.166373] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
Experimental and computational studies of the formation and evolution of scroll waves in three-dimensional excitable media are presented. Scroll waves are initiated in the photosensitive Belousov-Zhabotinsky reaction by perturbing traveling waves transverse to their direction of propagation. Scroll rings are generated by perturbing circular waves, which expand or contract depending on the strength of an imposed excitability gradient and its direction relative to the rotational direction of the scroll wave. (c) 1998 American Institute of Physics.
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Affiliation(s)
- Takashi Amemiya
- Department of Chemistry, West Virginia University, Morgantown, West Virginia 26506-6045Department of Chemical Systems, National Institute of Materials and Chemical Research, Tsukuba, Ibaraki 305, Japan
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36
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Jung P, Cornell-Bell A, Moss F, Kadar S, Wang J, Showalter K. Noise sustained waves in subexcitable media: From chemical waves to brain waves. CHAOS (WOODBURY, N.Y.) 1998; 8:567-575. [PMID: 12779760 DOI: 10.1063/1.166338] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
We discuss a novel type of spatiotemporal pattern that can be observed in subexcitable media when coupled to a thermal environment. These patterns have been recently observed in several different types of systems: a subexcitable photosensitive Belousov-Zhabotinsky reaction, hippocampal slices of rat brains, and astrocyte syncytium. In this paper, we introduce the basic concepts of subexcitable media, describe recent experimental observations in chemistry and neurophysiology, and put these observation into context with computer simulations. (c) 1998 American Institute of Physics.
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Affiliation(s)
- P. Jung
- Department of Physics and Astronomy, Program for Condensed Matter and Surface Science, and Program for Neurobiology, Ohio University, Athens, Ohio 45701
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37
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Amemiya T, Ohmori T, Nakaiwa M, Yamaguchi T. Two-Parameter Stochastic Resonance in a Model of the Photosensitive Belousov−Zhabotinsky Reaction in a Flow System. J Phys Chem A 1998. [DOI: 10.1021/jp980189p] [Citation(s) in RCA: 67] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Takashi Amemiya
- Department of Chemical Systems, National Institute of Materials and Chemical Research (NIMC), 1-1 Higashi, Tsukuba, Ibaraki 305-8565, Japan
| | - Takao Ohmori
- Department of Chemical Systems, National Institute of Materials and Chemical Research (NIMC), 1-1 Higashi, Tsukuba, Ibaraki 305-8565, Japan
| | - Masaru Nakaiwa
- Department of Chemical Systems, National Institute of Materials and Chemical Research (NIMC), 1-1 Higashi, Tsukuba, Ibaraki 305-8565, Japan
| | - Tomohiko Yamaguchi
- Department of Chemical Systems, National Institute of Materials and Chemical Research (NIMC), 1-1 Higashi, Tsukuba, Ibaraki 305-8565, Japan
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Kaminaga A, Rábai G, Hanazaki I. Response of the ferrocyanide-hydrogen peroxide-sulfite system to a pulsed light. Chem Phys Lett 1998. [DOI: 10.1016/s0009-2614(97)01355-9] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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40
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Kádár S, Amemiya T, Showalter K. Reaction Mechanism for Light Sensitivity of the Ru(bpy)32+-Catalyzed Belousov−Zhabotinsky Reaction. J Phys Chem A 1997. [DOI: 10.1021/jp971937y] [Citation(s) in RCA: 140] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Sándor Kádár
- Department of Chemistry, West Virginia University, Morgantown, West Virginia 26506-6045
| | - Takashi Amemiya
- Department of Chemistry, West Virginia University, Morgantown, West Virginia 26506-6045
| | - Kenneth Showalter
- Department of Chemistry, West Virginia University, Morgantown, West Virginia 26506-6045
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