CHAOTIC BEHAVIOR OF AN ACETYLCHOLINESTERASE ENZYME-SYSTEM

Citation
Sseh. Elnashaie et al., CHAOTIC BEHAVIOR OF AN ACETYLCHOLINESTERASE ENZYME-SYSTEM, Chaos, solitons and fractals, 5(6), 1995, pp. 933-954
Citations number
28
Categorie Soggetti
Mathematics,Mechanics,Engineering,"Physics, Applied
ISSN journal
09600779
Volume
5
Issue
6
Year of publication
1995
Pages
933 - 954
Database
ISI
SICI code
0960-0779(1995)5:6<933:CBOAAE>2.0.ZU;2-H
Abstract
A two compartments model of an acetylcholinesterase enzyme system is i nvestigated. The model is used to investigate the bifurcation, instabi lity and chaotic behaviour of the system. The investigation has uncove red a good part of the rich dynamic characteristics of this system, in cluding: period doubling sequence leading to chaos, banded chaos, full y developed chaos, interior crisis, tangent bifurcation leading to int ermittency, periodic windows interrupting chaotic regions and alternat ing periodic chaotic sequences. The results relate to the phenomena oc curring in physiological experiments, such as the periodic stimulation of neural cells and the non-regular functioning of acetycholine recep tors.