Effect of choline and acetate substrates on bifurcation and chaotic behavior of acetylcholine neurocycle and Alzheimer's and Parkinson's diseases
Identifieur interne : 002102 ( Main/Exploration ); précédent : 002101; suivant : 002103Effect of choline and acetate substrates on bifurcation and chaotic behavior of acetylcholine neurocycle and Alzheimer's and Parkinson's diseases
Auteurs : I. H. Mustafa [Canada] ; A. Elkamel [Canada] ; G. Ibrahim [Égypte] ; P. Chen [Canada] ; S. S. E. H. Elnashaie [Égypte]Source :
- Chemical engineering science [ 0009-2509 ] ; 2009.
Descripteurs français
- Pascal (Inist)
English descriptors
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Abstract
In this work a novel two-enzyme-two-compartment model is developed in order to explore the dynamics, bifurcation, and chaotic characteristics of the acetylcholine neurocycle. The model takes into consideration the physiological events of the choline uptake into the presynaptic neuron and choline release in the postsynaptic neuron. The effects of feed choline concentrations, feed acetate concentrations as bifurcation parameters are studied. It was found that feed choline concentrations play an important role and have a direct effect on the acetylcholine neurocycle through a certain important range of parameters. The feed acetate concentrations have less effect. A detailed bifurcation analysis over a wide range of parameters is carried out in order to uncover some important features of the system, such as static bifurcation, dynamic bifurcation and chaotic behavior. These findings are related to the real phenomena occurring in the neurons, like periodic stimulation of neural cells and non-regular functioning of acetylcholine receptors. The results are compared to the results of physiological experiments and other published models. As there is strong evidence that cholinergic brain diseases like Alzheimer's disease and Parkinson's disease are related to the concentration of acetylcholine, the present findings are useful for uncovering some of the characteristics of these diseases and encouraging more well-directed physiological research coupled to useful mathematical modeling. It is concluded from the results in this paper that feed choline is more important factor than feed acetate in ACh processes.
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Chen</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Chemical Engineering, University of Waterloo</s1><s2>Ontario, N2L3G1</s2><s3>CAN</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>4 aut.</sZ></inist:fA14><country>Canada</country><wicri:noRegion>Ontario, N2L3G1</wicri:noRegion></affiliation></author><author><name sortKey="Elnashaie, S S E H" sort="Elnashaie, S S E H" uniqKey="Elnashaie S" first="S. S. E. H." last="Elnashaie">S. S. E. H. 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H." last="Mustafa">I. H. Mustafa</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Chemical Engineering, University of Waterloo</s1><s2>Ontario, N2L3G1</s2><s3>CAN</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>4 aut.</sZ></inist:fA14><country>Canada</country><wicri:noRegion>Ontario, N2L3G1</wicri:noRegion></affiliation></author><author><name sortKey="Elkamel, A" sort="Elkamel, A" uniqKey="Elkamel A" first="A." last="Elkamel">A. Elkamel</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Chemical Engineering, University of Waterloo</s1><s2>Ontario, N2L3G1</s2><s3>CAN</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>4 aut.</sZ></inist:fA14><country>Canada</country><wicri:noRegion>Ontario, N2L3G1</wicri:noRegion></affiliation></author><author><name sortKey="Ibrahim, G" sort="Ibrahim, G" uniqKey="Ibrahim G" first="G." last="Ibrahim">G. Ibrahim</name><affiliation wicri:level="1"><inist:fA14 i1="02"><s1>Basic Engineering Sciences Department, Faculty of Engineering, Menufia University</s1><s3>EGY</s3><sZ>3 aut.</sZ></inist:fA14><country>Égypte</country><wicri:noRegion>Basic Engineering Sciences Department, Faculty of Engineering, Menufia University</wicri:noRegion></affiliation></author><author><name sortKey="Chen, P" sort="Chen, P" uniqKey="Chen P" first="P." last="Chen">P. Chen</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Chemical Engineering, University of Waterloo</s1><s2>Ontario, N2L3G1</s2><s3>CAN</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>4 aut.</sZ></inist:fA14><country>Canada</country><wicri:noRegion>Ontario, N2L3G1</wicri:noRegion></affiliation></author><author><name sortKey="Elnashaie, S S E H" sort="Elnashaie, S S E H" uniqKey="Elnashaie S" first="S. S. E. H." last="Elnashaie">S. S. E. H. Elnashaie</name><affiliation wicri:level="1"><inist:fA14 i1="03"><s1>Dean of the College of Engineering Sciences and College of Information Technology, Sinai University, Almasaeed</s1><s2>Alarish, North Sinai</s2><s3>EGY</s3><sZ>5 aut.</sZ></inist:fA14><country>Égypte</country><wicri:noRegion>Alarish, North Sinai</wicri:noRegion></affiliation></author></analytic><series><title level="j" type="main">Chemical engineering science</title><title level="j" type="abbreviated">Chem. eng. sci.</title><idno type="ISSN">0009-2509</idno><imprint><date when="2009">2009</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Chemical engineering science</title><title level="j" type="abbreviated">Chem. eng. sci.</title><idno type="ISSN">0009-2509</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Bifurcation</term><term>Chaos</term><term>Modeling</term><term>Uptake</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Bifurcation</term><term>Modélisation</term><term>Captation</term><term>Chaos</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">In this work a novel two-enzyme-two-compartment model is developed in order to explore the dynamics, bifurcation, and chaotic characteristics of the acetylcholine neurocycle. The model takes into consideration the physiological events of the choline uptake into the presynaptic neuron and choline release in the postsynaptic neuron. The effects of feed choline concentrations, feed acetate concentrations as bifurcation parameters are studied. It was found that feed choline concentrations play an important role and have a direct effect on the acetylcholine neurocycle through a certain important range of parameters. The feed acetate concentrations have less effect. A detailed bifurcation analysis over a wide range of parameters is carried out in order to uncover some important features of the system, such as static bifurcation, dynamic bifurcation and chaotic behavior. These findings are related to the real phenomena occurring in the neurons, like periodic stimulation of neural cells and non-regular functioning of acetylcholine receptors. The results are compared to the results of physiological experiments and other published models. As there is strong evidence that cholinergic brain diseases like Alzheimer's disease and Parkinson's disease are related to the concentration of acetylcholine, the present findings are useful for uncovering some of the characteristics of these diseases and encouraging more well-directed physiological research coupled to useful mathematical modeling. It is concluded from the results in this paper that feed choline is more important factor than feed acetate in ACh processes.</div></front></TEI><affiliations><list><country><li>Canada</li><li>Égypte</li></country></list><tree><country name="Canada"><noRegion><name sortKey="Mustafa, I H" sort="Mustafa, I H" uniqKey="Mustafa I" first="I. H." last="Mustafa">I. H. Mustafa</name></noRegion><name sortKey="Chen, P" sort="Chen, P" uniqKey="Chen P" first="P." last="Chen">P. Chen</name><name sortKey="Elkamel, A" sort="Elkamel, A" uniqKey="Elkamel A" first="A." last="Elkamel">A. Elkamel</name></country><country name="Égypte"><noRegion><name sortKey="Ibrahim, G" sort="Ibrahim, G" uniqKey="Ibrahim G" first="G." last="Ibrahim">G. Ibrahim</name></noRegion><name sortKey="Elnashaie, S S E H" sort="Elnashaie, S S E H" uniqKey="Elnashaie S" first="S. S. E. H." last="Elnashaie">S. S. E. H. Elnashaie</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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