Hyperchaos in acetylcholinesterase enzyme systems
Burst generation via a complex bifurcation scenario is discussed using a two compartments model of an enzyme system with substrate inhibition kinetics affected by the production of hydrogen ions accompanying the reaction (e.g. acetylcholinesterase enzyme system). Evidences are given to support the e...
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Elsevier Science
1997
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my.upm.eprints.510252024-08-07T00:16:32Z http://psasir.upm.edu.my/id/eprint/51025/ Hyperchaos in acetylcholinesterase enzyme systems Ibrahim, Gamal Elnashaie, Said Salah Eldin Hamed Burst generation via a complex bifurcation scenario is discussed using a two compartments model of an enzyme system with substrate inhibition kinetics affected by the production of hydrogen ions accompanying the reaction (e.g. acetylcholinesterase enzyme system). Evidences are given to support the existence of homoclinicity associated with this complex dynamics, including the generalised criterion developed by Rossler et al. [1] for the application of Sil'nikov's theorem in the case of four-dimensional systems. Complex bi-stabilities are observed in certain regions, and the structure of some attracting sets occurring near homoclinic orbits are discussed. The results support the use of such fundamental models for different dynamical modes generation and analysis. The results relate to the transition of small and large frequency oscillations to periodic bursting and vice versa in excitable cells and many biophysical systems. Elsevier Science 1997 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/51025/1/51025.pdf text en http://psasir.upm.edu.my/id/eprint/51025/7/1-s2.0-S0960077996001415-main.pdf Ibrahim, Gamal and Elnashaie, Said Salah Eldin Hamed (1997) Hyperchaos in acetylcholinesterase enzyme systems. Chaos, Solitons & Fractals, 8 (12). pp. 1977-2007. ISSN 0960-0779; ESSN: 1873-2887 http://www.sciencedirect.com/science/article/pii/S0960077996001415 10.1016/S0960-0779(96)00141-5 |
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Burst generation via a complex bifurcation scenario is discussed using a two compartments model of an enzyme system with substrate inhibition kinetics affected by the production of hydrogen ions accompanying the reaction (e.g. acetylcholinesterase enzyme system). Evidences are given to support the existence of homoclinicity associated with this complex dynamics, including the generalised criterion developed by Rossler et al. [1] for the application of Sil'nikov's theorem in the case of four-dimensional systems. Complex bi-stabilities are observed in certain regions, and the structure of some attracting sets occurring near homoclinic orbits are discussed. The results support the use of such fundamental models for different dynamical modes generation and analysis. The results relate to the transition of small and large frequency oscillations to periodic bursting and vice versa in excitable cells and many biophysical systems. |
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Article |
author |
Ibrahim, Gamal Elnashaie, Said Salah Eldin Hamed |
spellingShingle |
Ibrahim, Gamal Elnashaie, Said Salah Eldin Hamed Hyperchaos in acetylcholinesterase enzyme systems |
author_facet |
Ibrahim, Gamal Elnashaie, Said Salah Eldin Hamed |
author_sort |
Ibrahim, Gamal |
title |
Hyperchaos in acetylcholinesterase enzyme systems |
title_short |
Hyperchaos in acetylcholinesterase enzyme systems |
title_full |
Hyperchaos in acetylcholinesterase enzyme systems |
title_fullStr |
Hyperchaos in acetylcholinesterase enzyme systems |
title_full_unstemmed |
Hyperchaos in acetylcholinesterase enzyme systems |
title_sort |
hyperchaos in acetylcholinesterase enzyme systems |
publisher |
Elsevier Science |
publishDate |
1997 |
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http://psasir.upm.edu.my/id/eprint/51025/1/51025.pdf http://psasir.upm.edu.my/id/eprint/51025/7/1-s2.0-S0960077996001415-main.pdf http://psasir.upm.edu.my/id/eprint/51025/ http://www.sciencedirect.com/science/article/pii/S0960077996001415 |
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13.18916 |