Complex Reaction Kinetics in Chemistry: A Unified Picture Suggested by Mechanics in Physics
Complex biochemical pathways can be reduced to chains of elementary reactions, which can be described in terms of chemical kinetics. Among the elementary reactions so far extensively investigated, we recall the Michaelis-Menten and the Hill positive-cooperative kinetics, which apply to molecular bin...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/7423297 |
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| _version_ | 1832556627114328064 |
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| author | Elena Agliari Adriano Barra Giulio Landolfi Sara Murciano Sarah Perrone |
| author_facet | Elena Agliari Adriano Barra Giulio Landolfi Sara Murciano Sarah Perrone |
| author_sort | Elena Agliari |
| collection | DOAJ |
| description | Complex biochemical pathways can be reduced to chains of elementary reactions, which can be described in terms of chemical kinetics. Among the elementary reactions so far extensively investigated, we recall the Michaelis-Menten and the Hill positive-cooperative kinetics, which apply to molecular binding and are characterized by the absence and the presence, respectively, of cooperative interactions between binding sites. However, there is evidence of reactions displaying a more complex pattern: these follow the positive-cooperative scenario at small substrate concentration, yet negative-cooperative effects emerge as the substrate concentration is increased. Here, we analyze the formal analogy between the mathematical backbone of (classical) reaction kinetics in Chemistry and that of (classical) mechanics in Physics. We first show that standard cooperative kinetics can be framed in terms of classical mechanics, where the emerging phenomenology can be obtained by applying the principle of least action of classical mechanics. Further, since the saturation function plays in Chemistry the same role played by velocity in Physics, we show that a relativistic scaffold naturally accounts for the kinetics of the above-mentioned complex reactions. The proposed formalism yields to a unique, consistent picture for cooperative-like reactions and to a stronger mathematical control. |
| format | Article |
| id | doaj-art-a737d65982354dfbab9efa8ff50e2395 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-a737d65982354dfbab9efa8ff50e23952025-02-03T05:44:56ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/74232977423297Complex Reaction Kinetics in Chemistry: A Unified Picture Suggested by Mechanics in PhysicsElena Agliari0Adriano Barra1Giulio Landolfi2Sara Murciano3Sarah Perrone4Dipartimento di Matematica, Sapienza Università di Roma, Rome, ItalyGNFM-INdAM Sezione di Roma, Rome, ItalyDipartimento di Matematica e Fisica Ennio De Giorgi, Università del Salento, Lecce, ItalyDipartimento di Matematica e Fisica Ennio De Giorgi, Università del Salento, Lecce, ItalyDipartimento di Fisica, Università di Torino, Torino, ItalyComplex biochemical pathways can be reduced to chains of elementary reactions, which can be described in terms of chemical kinetics. Among the elementary reactions so far extensively investigated, we recall the Michaelis-Menten and the Hill positive-cooperative kinetics, which apply to molecular binding and are characterized by the absence and the presence, respectively, of cooperative interactions between binding sites. However, there is evidence of reactions displaying a more complex pattern: these follow the positive-cooperative scenario at small substrate concentration, yet negative-cooperative effects emerge as the substrate concentration is increased. Here, we analyze the formal analogy between the mathematical backbone of (classical) reaction kinetics in Chemistry and that of (classical) mechanics in Physics. We first show that standard cooperative kinetics can be framed in terms of classical mechanics, where the emerging phenomenology can be obtained by applying the principle of least action of classical mechanics. Further, since the saturation function plays in Chemistry the same role played by velocity in Physics, we show that a relativistic scaffold naturally accounts for the kinetics of the above-mentioned complex reactions. The proposed formalism yields to a unique, consistent picture for cooperative-like reactions and to a stronger mathematical control.http://dx.doi.org/10.1155/2018/7423297 |
| spellingShingle | Elena Agliari Adriano Barra Giulio Landolfi Sara Murciano Sarah Perrone Complex Reaction Kinetics in Chemistry: A Unified Picture Suggested by Mechanics in Physics Complexity |
| title | Complex Reaction Kinetics in Chemistry: A Unified Picture Suggested by Mechanics in Physics |
| title_full | Complex Reaction Kinetics in Chemistry: A Unified Picture Suggested by Mechanics in Physics |
| title_fullStr | Complex Reaction Kinetics in Chemistry: A Unified Picture Suggested by Mechanics in Physics |
| title_full_unstemmed | Complex Reaction Kinetics in Chemistry: A Unified Picture Suggested by Mechanics in Physics |
| title_short | Complex Reaction Kinetics in Chemistry: A Unified Picture Suggested by Mechanics in Physics |
| title_sort | complex reaction kinetics in chemistry a unified picture suggested by mechanics in physics |
| url | http://dx.doi.org/10.1155/2018/7423297 |
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