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Wodlei F, Hristea MR, Alberti G. Periodic Motion in the Chaotic Phase of an Unstirred Ferroin-Catalyzed Belousov Zhabotinsky Reaction. Front Chem 2022; 10:881691. [PMID: 35873054 PMCID: PMC9304747 DOI: 10.3389/fchem.2022.881691] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/22/2022] [Accepted: 05/24/2022] [Indexed: 11/23/2022] Open
Abstract
The Belousov Zhabotinsky reaction, a self-organized oscillatory color-changing reaction, can show complex behavior when left unstirred in a cuvette environment. The most intriguing behavior is the transition from periodicity to chaos and back to periodicity as the system evolves in time. It was shown that this happens thanks due to the decoupling of reaction, diffusion and convection. We have recently discovered that, as the so-called chaotic transient takes place, periodic bulk motions in form of convective cells are created in the reaction solution. In this work we investigated this phenomenon experimentally by changing cuvette size and reaction volume, in order to allow different types of convection patterns to appear. So far, we have observed single and double convection cells in the system. There are indications that the convection patterns are connected to the duration of the chaotic phase. A simplified mathematical model confirms the form and dynamics of the observed convection cells and explains the connection between chemical chaos and hydrodynamical order.
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de la Fuente IM. Quantitative analysis of cellular metabolic dissipative, self-organized structures. Int J Mol Sci 2010; 11:3540-99. [PMID: 20957111 PMCID: PMC2956111 DOI: 10.3390/ijms11093540] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/13/2010] [Revised: 09/11/2010] [Accepted: 09/12/2010] [Indexed: 11/16/2022] Open
Abstract
One of the most important goals of the postgenomic era is understanding the metabolic dynamic processes and the functional structures generated by them. Extensive studies during the last three decades have shown that the dissipative self-organization of the functional enzymatic associations, the catalytic reactions produced during the metabolite channeling, the microcompartmentalization of these metabolic processes and the emergence of dissipative networks are the fundamental elements of the dynamical organization of cell metabolism. Here we present an overview of how mathematical models can be used to address the properties of dissipative metabolic structures at different organizational levels, both for individual enzymatic associations and for enzymatic networks. Recent analyses performed with dissipative metabolic networks have shown that unicellular organisms display a singular global enzymatic structure common to all living cellular organisms, which seems to be an intrinsic property of the functional metabolism as a whole. Mathematical models firmly based on experiments and their corresponding computational approaches are needed to fully grasp the molecular mechanisms of metabolic dynamical processes. They are necessary to enable the quantitative and qualitative analysis of the cellular catalytic reactions and also to help comprehend the conditions under which the structural dynamical phenomena and biological rhythms arise. Understanding the molecular mechanisms responsible for the metabolic dissipative structures is crucial for unraveling the dynamics of cellular life.
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Affiliation(s)
- Ildefonso Martínez de la Fuente
- Institute of Parasitology and Biomedicine "López-Neyra" (CSIC), Parque Tecnológico de Ciencias de la Salud, Avenida del Conocimiento s/n, 18100 Armilla (Granada), Spain; E-Mail: ; Tel.: +34-958-18-16-21
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Marchettini N, Antonio Budroni M, Rossi F, Masia M, Liria Turco Liveri M, Rustici M. Role of the reagents consumption in the chaotic dynamics of the Belousov–Zhabotinsky oscillator in closed unstirred reactors. Phys Chem Chem Phys 2010; 12:11062-9. [DOI: 10.1039/c0cp00109k] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Rossi F, Budroni MA, Marchettini N, Cutietta L, Rustici M, Liveri MLT. Chaotic dynamics in an unstirred ferroin catalyzed Belousov–Zhabotinsky reaction. Chem Phys Lett 2009. [DOI: 10.1016/j.cplett.2009.09.018] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Turco Liveri ML, Lombardo R, Masia M, Calvaruso G, Rustici M. Role of the Reactor Geometry in the Onset of Transient Chaos in an Unstirred Belousov−Zhabotinsky System. J Phys Chem A 2003. [DOI: 10.1021/jp027213q] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Maria Liria Turco Liveri
- Dipartimento di Chimica Fisica “F. Accascina”, Università di Palermo, Viale delle Scienze, Parco d'Orleans II, 90128 Palermo, Italy, Departament de Fısica i Enginyeria Nuclear, Universitat Politécnica de Catalunya, Campus Nord B4−B5, Barcelona 08034, Spain, and Dipartimento di Chimica, Università di Sassari, Via Vienna 2, 07100 Sassari, Italy
| | - Renato Lombardo
- Dipartimento di Chimica Fisica “F. Accascina”, Università di Palermo, Viale delle Scienze, Parco d'Orleans II, 90128 Palermo, Italy, Departament de Fısica i Enginyeria Nuclear, Universitat Politécnica de Catalunya, Campus Nord B4−B5, Barcelona 08034, Spain, and Dipartimento di Chimica, Università di Sassari, Via Vienna 2, 07100 Sassari, Italy
| | - Marco Masia
- Dipartimento di Chimica Fisica “F. Accascina”, Università di Palermo, Viale delle Scienze, Parco d'Orleans II, 90128 Palermo, Italy, Departament de Fısica i Enginyeria Nuclear, Universitat Politécnica de Catalunya, Campus Nord B4−B5, Barcelona 08034, Spain, and Dipartimento di Chimica, Università di Sassari, Via Vienna 2, 07100 Sassari, Italy
| | - Giuseppe Calvaruso
- Dipartimento di Chimica Fisica “F. Accascina”, Università di Palermo, Viale delle Scienze, Parco d'Orleans II, 90128 Palermo, Italy, Departament de Fısica i Enginyeria Nuclear, Universitat Politécnica de Catalunya, Campus Nord B4−B5, Barcelona 08034, Spain, and Dipartimento di Chimica, Università di Sassari, Via Vienna 2, 07100 Sassari, Italy
| | - Mauro Rustici
- Dipartimento di Chimica Fisica “F. Accascina”, Università di Palermo, Viale delle Scienze, Parco d'Orleans II, 90128 Palermo, Italy, Departament de Fısica i Enginyeria Nuclear, Universitat Politécnica de Catalunya, Campus Nord B4−B5, Barcelona 08034, Spain, and Dipartimento di Chimica, Università di Sassari, Via Vienna 2, 07100 Sassari, Italy
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Rustici M, Caravati C, Petretto E, Branca M, Marchettini N. Transition Scenarios during the Evolution of the Belousov−Zhabotinsky Reaction in an Unstirred Batch Reactor. J Phys Chem A 1999. [DOI: 10.1021/jp9902708] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Mauro Rustici
- Università di Sassari, Dipartimento di Chimica, Via Vienna 2, 07100 Sassari, Italia
| | - Carlo Caravati
- Università di Sassari, Dipartimento di Chimica, Via Vienna 2, 07100 Sassari, Italia
| | - Enrico Petretto
- Università di Sassari, Dipartimento di Chimica, Via Vienna 2, 07100 Sassari, Italia
| | - Mario Branca
- Università di Sassari, Dipartimento di Chimica, Via Vienna 2, 07100 Sassari, Italia
| | - Nadia Marchettini
- Università di Sassari, Dipartimento di Chimica, Via Vienna 2, 07100 Sassari, Italia
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