Static & Dynamic Bifurcation Analysis Of a Coupled Acetylcholinesterase / Choline Acetylcholinesterase Enzymes Neurocycle | ||||
The International Conference on Mathematics and Engineering Physics | ||||
Article 3, Volume 5, International Conference on Mathematics and Engineering Physics (ICMEP-5), May 2010, Page 1-19 PDF (1.15 MB) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/icmep.2010.29771 | ||||
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Authors | ||||
Ibrahim G.; Saleh O | ||||
Abstract | ||||
Abstract: Bifurcation and Chaotic behavior of an acetylcholinesterase phemonenological two compartment model has been studied. Using Garhyan P. and Elnashaie S.S. model [1],This model describes the cholinergic neurocycle in simple form of two enzyme / two compartments. In this investigation a more realastic kinetic expression for choline acetyltransferase has been used. The bifurcation, instability and Chaotic behavior are investigated with special emphasis on neural transmission in the human brain. This type of work may be help to stimulate new research directions on brain diseases such as Al zheimer's and Parkinson diseases. | ||||
Keywords | ||||
Neurocycle modelling; Acetylcholinesterase/choline acetyltransferase; Bifurcation; Enzyme; Nonlinear dynamics; Dynamic simulation | ||||
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