A kinetic mechanism inducing oscillations in simple chemical reactions networks
It is known that a kinetic reaction network in which one or more secondary substrates are acting as cofactors may exhibit an oscillatory behavior.The aim of this work is to provide a description of the functional form of such a cofactor action guaranteeing the onset of oscillations in sufficiently...
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| Format: | Article |
| Language: | English |
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AIMS Press
2010-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.301 |
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| author | Julien Coatléven Claudio Altafini |
| author_facet | Julien Coatléven Claudio Altafini |
| author_sort | Julien Coatléven |
| collection | DOAJ |
| description | It is known that a kinetic reaction network in which one or more secondary substrates are acting as cofactors may exhibit an oscillatory behavior.The aim of this work is to provide a description of the functional form of such a cofactor action guaranteeing the onset of oscillations in sufficiently simple reaction networks. |
| format | Article |
| id | doaj-art-c92500ee9dfb4150ada3e033bb36ada6 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2010-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-c92500ee9dfb4150ada3e033bb36ada62025-01-24T02:00:28ZengAIMS PressMathematical Biosciences and Engineering1551-00182010-03-017230131210.3934/mbe.2010.7.301A kinetic mechanism inducing oscillations in simple chemical reactions networksJulien Coatléven0Claudio Altafini1Laboratoire POEMS, UMR 7231 CNRS/INRIA/ENSTA, INRIA Rocquencourt, B.P. 105 78153, Le Chesnay CedexLaboratoire POEMS, UMR 7231 CNRS/INRIA/ENSTA, INRIA Rocquencourt, B.P. 105 78153, Le Chesnay CedexIt is known that a kinetic reaction network in which one or more secondary substrates are acting as cofactors may exhibit an oscillatory behavior.The aim of this work is to provide a description of the functional form of such a cofactor action guaranteeing the onset of oscillations in sufficiently simple reaction networks.https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.301hopf bifurcationspoincaré-bendixson theorem.oscillationschemical reaction networks |
| spellingShingle | Julien Coatléven Claudio Altafini A kinetic mechanism inducing oscillations in simple chemical reactions networks Mathematical Biosciences and Engineering hopf bifurcations poincaré-bendixson theorem. oscillations chemical reaction networks |
| title | A kinetic mechanism inducing oscillations in simple chemical reactions networks |
| title_full | A kinetic mechanism inducing oscillations in simple chemical reactions networks |
| title_fullStr | A kinetic mechanism inducing oscillations in simple chemical reactions networks |
| title_full_unstemmed | A kinetic mechanism inducing oscillations in simple chemical reactions networks |
| title_short | A kinetic mechanism inducing oscillations in simple chemical reactions networks |
| title_sort | kinetic mechanism inducing oscillations in simple chemical reactions networks |
| topic | hopf bifurcations poincaré-bendixson theorem. oscillations chemical reaction networks |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.301 |
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