Effect of cholineacetyltransferase activity and choline recycle ratio on diffusion-reaction modeling, bifurcation and chaotic behavior of acetylcholine neurocycle and their relation to Alzheimer's and Parkinson's diseases

Chemical Engineering Science

Volumn 68, Issue 1, 2012, Pages 19-35

  Mustafa, I H ^a   Elkamel, A ^a   Chen, P ^a   Ibrahim, G ^c   Elnashaie, S S E H ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b NEW MEXICO INSTITUTE OF MINING AND TECHNOLOGY   (United States)

^c MENOUFIA UNIVERSITY   (Egypt)

Author keywords

Acetylcholine; Acetylcholinesterase; Bifurcation; Choline; Cholineacetyltransferase; Recycle ratio

Indexed keywords

ACETYLCHOLINE; ACETYLCHOLINESTERASE; CHOLINE; CHOLINEACETYLTRANSFERASE; RECYCLE RATIOS;

BIFURCATION (MATHEMATICS); DYNAMICS; NEURODEGENERATIVE DISEASES; SYNTHESIS (CHEMICAL);

RECYCLING;

EID: 81055156769     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2011.08.012     Document Type: Article

References (85)

1. Alzheimer, A. Uber einen eigenartigen schweren Erkrankungsprozeb der Hirnrinde. Neurologisches Centralblatt (Lecture presented at the 37th meeting of the southwest German psychiatrists in Tubingen), 1906, vol. 23, p. 1129.
2. Anderson J.R., Jones B.W., Yang J.-H., Shaw M.V., Watt C.B., Koshevoy P., Spaltenstein J., Jurrus E., Kannan U.V., Whitaker R.T., Mastronarde D., Tasdizen T., Marc R.E. A computational framework for ultrastructural mapping of neural circuitry. PLoS Biol. 2009, 7(3):74.
3. Barker, Mittag Inhibition of synaptosomal choline uptake by naphthylvinylpyridiniums. FEBS Letters 1973, 35(1):141-144.
4. Bastrikova N., Gardner G.A., Reece J.M., Jeromin A., Dudek S.M. Synapse elimination accompanies functional plasticity in hippocampal neurons. Proc. Natl. Acad. Sci. USA 2008, 105:3123-3127.
5. Birks R.I. Activation of acetylcholine synthesis in cat sympathetic Ganglia: dependence on external choline and sodium-pump rate. J. Physiol. 1985, 367:401-417.
6. Blusztajn J.K., Wurtman R.J. Choline and cholinergic neurons. Science 1983, 614-620. doi:10.1126/science.6867732.
7. Brandon E.P., Mellott Tiffany, Pizzo Donald, Coulfal Nicole, D'Amour Kevin, Gobeske Kevin, Lortie Mark, Lopez-Covielle Ignacio, Berse Brygide, Thal Leon, Gage Fred, Blusztan Jan Choline transporter 1 maintains cholinergic function in choline acetyltransferase haploinsufficiency. J. Neurosci. 2004, 24(24):5459-5466.
8. Chay R.R., Rinzel J. Bursting, beating and chaos in an excitable membrane model. Biophys. J. 1985, 47:357.
9. Chiao-Kang Chao, Pomfret Elizabeth A., Steven Zeisel Uptake of choline by rat mammary-gland epithelial cells. Biochem. J. 1988, 254:33-38.
10. Chuiko G.M., Podgornaya V.A., Zhelnin Y.Y. Acetylcholinesterase and butyrylcholinesterase activities in brain and plasma of freshwater teleosts: cross-species and cross-family differences. Comp. Biochem. Physiol. Part B: Biochem. Mol. Biol. 2003, 135(1):55-56.
11. Docherty M., Bradford H.F. A cell-surface antigen of cholinergic nerve terminals recognized by antisera to choline acetyltransferase. Neurosci. Lett. 1986, 70:234-238.
12. Doedel E.J., Champneys A.R., Fairgrieve T.F., Kuznetsov Y.A., Sandstede B., Wang X.J. AUTO97: Continuation and Bifurcation Software for Ordinary Differential Equations 1997, Department of Computer Science, Concordia University, Montreal, Canada.
13. Eckenstein Flix, Sofroniew Michael Identification of central cholinergic neurons containing both choline acetytransferase and acetylcholinesterase and of central neurons containing only acetylcholinesterase. J. Neurosci. 1983, 3(11):2286-2291.
14. Ehrenstein G., Galdzicki Z., Lange G.D. The choline-leakage hypothesis for the loss of acetylcholine in Alzheimer's disease. Biophys. J. 1997, 73(3):1276-1280.
15. Ehrenstein G., Galdzicki Z., Lange G.D. Positive-feedback model for the loss of acetylcholine in Alzheimer's disease. Ann. N. Y. Acad. Sci. 2000, 899:283-291.
16. Elnashaie S.S.E.H., El-Rifai M.A., Ibrahim G. The effect of hydrogen ion production on the steady-state multiplicity of substrate inhibited enzymatic reactions. III. Asymmetrical steady-states in enzyme membranes. Appl. Biochem. Biotechnol. 1984, 9:455.
17. Elnashaie S.S.E.H., Ibrahim G., Teymour F.A. Chaotic behavior of an acetyl cholinesterase enzyme system. Chaos Solitons Fractals 1995, 5:933.
18. Ermentrout B. Simulating, Analyzing, and Animating Dynamical Systems: A Guide to Xppaut for Researchers and Students 2002, SIAM, New York.
19. Fan Y.S., Holden A.V. Bifurcation, bursting, chaos and crisis in the Rose-Hindmarsh model for neuronal activity. Chaos Solitons Fractals 1993, 3(4):439.
20. Faingold Carl L., Fromm Gerhard H. Drugs for the Control of Epilepsy: Actions on Neuonal Networks Involved in Seizure Networks 1991, CRC Press.
21. Feigenbaum M.L. Universal behavior in nonlinear systems. Los. Alamos. Sci. 1980, 1:4-36.
22. Ferguson Shawn M., Bazalakova Mihaela, Savchenko Valentina, Carlos Tapia Juan, Wright Jane, Blakely Randy D. Lethal impairment of cholinergic neurotransmission in hemicholinium-3-sensitive choline transporter knockout mice. PNAS 2004 2004, 101:8762-8767.
23. Ferguson S.M., Blakely R.D. The choline transporter resurfaces: new roles for synaptic vesicles?. Mol. Interv. 2004, 4:22-37.
24. Friboulet R., David A., Thomas D. Excitability memory and oscillation in artificial acetyl cholinesterase membranes. J. Membr. Sci. 1981, 8:33.
25. Garhyan Parag, Mahecha A Botero, Elnashaie S.S.E.H. Complex bifurcation/chaotic behavior of acetyl cholinesterase and choline acetyltransferase enzymes system. Math. Comput. Model. 2006, 30:824-853.
26. Gartner A., Staiger V. Neurotrophin secretion from hippocampal neurons evoked by long-term-potentiation-inducing electrical stimulation patterns. Proc. Natl. Acad. Sci. USA 2002, 99:6386-6391.
27. Gilat, Amos MATLAB: An Introduction with Applications 2004, John Wiley & Sons, ISBN 978-0-471-69420-5. 2nd ed.
28. Glenn Wetzel, Joan Heller Brown Relationship between Choline uptake acetylcholine synthesis and acetylcholine release in isolated rat atria. J. Pharmacol. Exper. Ther. 1983, 226:2.
29. Goodenowe D.B., Cook L.L., Liu J., Lu Y., Jayasinghe D.A., Ahiahonu P.W., et al. Peripheral ethanolamine plasmalogen deficiency: a logical causative factor in Alzheimer's disease and dementia. J. Lipid Res. 2007, 48:2485-2498.
30. Guyton C.A., Hall J.E. Textbook of Medical Physiology 2000, W. B. Saunders Company, Amsterdam. 10th ed.
31. Hartmann J., Kiewert Cornelia, Duysen Ellen G., Lockridge Oksana, Klein Jochen Choline availability and acetylcholine synthesis in the hippocampus of acetylcholinesterase-deficient mice. Neurochem. Int. 2008, 52(6):972-978.
32. Haubrich D.R., Wang P.F.L. Inhibition of acetylcholine synthesis by juglone and 4-(1-naphthylvinyl) pyridine. Biochemical Pharmacology 1976, 25(6):669-672.
33. Hersh L.B., Peet M. Re-evaluation of the kinetic mechanism of the choline acetyltransferase reaction. J. Biol. Chem. 1977, 252(14):4796-4802.
34. Holden A.V., Fan Y.S. Crisis-induced chaos in the Rose-Hindmarsh model for neuronal activity. Chaos Solitons Fractals 1992, 2:583-595.
35. Holden A.V., Fan Y.S. From simple to complex oscillatory behaviour via intermittent chaos in the Rose-Hindmarsh model for neuronal activity. Chaos, Solitons Fractals 1992, 2(4):349-369.
36. Holden A.V., Fan Y.S. From simple to simple bursting oscillatory behavior via chaos in the Rose-Hindmarsh model for neuronal activity. Chaos Solitons Fractals 1992, 221-236.
37. Ibrahim G., Elnashaie S.S.E.H. Hyperchaos in acetyl cholinesterase enzyme systems. Chaos Solitons Fractals 1977, 8.
38. Ibrahim G., Saleh O., Mustafa I.H., El Ahwany A.H., Elnashaie S.S.E.H. Modeling periodic and aperiodic behavior of acetylcholine hydrolysis. Int. Rev. Chem. Eng. (I.RE.CH.E.) 2010, 2(6):647-661.
39. Ikonomovic Milos D., Mufson Elliott J., Wuu Joanne, Bennett David A., DeKosky Steven T. Reduction of choline acetyltransferase activity in primary visual cortex in mild to moderate Alzheimer's disease. Arch. Neurol. 2005, 62:425-430.
40. Iwamoto H., Blakely Randy D., De Felice Louis J. Na+, Cl-, and pH dependence of the human choline transporter (hCHT) in Xenopus oocytes: The proton inactivation hypothesis of hCHT in synaptic vesicles. J. Neurosci. 2006, 26(39):9851-9859.
41. Just W., Kantz H. Some considerations on Poincare maps for chaotic flows. J. Phys. A: Math. Gen. 2000, 33:163-170.
42. Kato T. Choline acetyltransferase activities in single spinal motor neurons from patients with amyotrophic lateral sclerosis. J. Neurochem. 1989, 52:636-640.
43. Keverne Jessica, Ray Melissa Neurochemistry of Alzheimer's disease. Psychiatry 2008, 7(1):6-8.
44. Koudinova N.V., Kontush A., Berezov T.T., Koudinova A.R. Amyloid beta, neural lipids, cholesterol and Alzheimer's disease. Neurobiol. Lipids 2003, 1:28-33.
45. Krell R.D., Goldberg A.M. Effect of choline acetyltransferase inhibitors on mouse and guinea-pig brain choline and acetylcholine. Biochemical Pharmacology 1975, 24(3):391-396.
46. Kysela S., Torok J. Histamine H1-receptor antagonists do not prevent the appearance of endothelium-dependant relaxation to acetylcholine in rat pulmonary artery. Physiol. Res. 1996, 45(4):345.
47. Leventer S.M., Rowell P.P., Clark M.J. The effect of choline acetyltransferase inhibition on acetylcholine synthesis and release in term human placenta. J. Pharmacol. Exper. Ther. 1982, 222:2.
48. Leventer S.M., Rowell P.P. Investigation of the rate limiting step in the synthesis of acetylcholine by human placenta. Placenta 1984, 5:261-270.
49. Levey A.I., Gilmor M.L., Count S.E., Wiley R.G. Coordinate expression of the vesicular acetycholine transporter and choline acetyltransferase following septohippocampal pathway lesions. J. Neurochem. 1998, 71:2411-2420.
50. Lilcol Yo, Resul Ozbek, Emre Hamurtekin, Ismail H. Ulus Choline status in newborns, infants, children, breast-feeding women, breast-fed infants and human breast milk. J. Nutritional Biochem. 2005, 16(8):489-499.
51. Mahecha-Botero Andres, Garhyan Parag, Elnashaie S.S.E.H. Bifurcation and chaotic of a coupled acetylcholinesterase/choline acetyltransferase diffusion-reaction enzymes system. Chem. Eng. Sci. 2004, 59:581-597.
52. Malthe Sosrenssen D, Lea T., Fonnum F., Eskeland T. Molecular characterization of cholineacetyltransferase from bovine brain caudate nucleus and some immunological properties of the highly purified enzyme. J. Neurochem. 1978, 30(1):35-46.
53. Morel N. Effect of choline on the rates of synthesis and of release of acetylcholine in the electric organ of torpedo. J. Neurochem. 1976, (27):779-784.
54. Murrin, Kuhar Dopamine receptors in the rat frontal cortex: an autoradiographic study. Brain Research 1979, 177(2):279-285.
55. Mustafa I.H., Ibrahim G., Elkamel A., Elnashaie S.S.E.H., Chen P. Non linear feedback modeling and bifurcation of the acetylcholine neurocycle and its relation to Alzheimer's and Parkinson's diseases. J. Chem. Eng. Sci. 2009, 64(1):69-90.
56. Mustafa I.H., Ibrahim G., Elkamel A., Elnashaie S.S.E.H., Chen P. Effect of choline and acetate substrates on bifurcation and chaotic behavior of acetylcholine neurocycle and Alzheimer's and Parkinson's diseases. J. Chem. Eng. Sci. 2009, 64(9):2096-2112.
57. Nachmansohn D., Machado A.L. The formation of acetylcholine. A new enzyme choline acetylase. J. Neurophysiol. 1943, 6:397-403.
58. Nayfeh Ali H., Balachandran Balakumar Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods. Printed in the Federal Republic of Germany 1995, John Wiley & Sons, lnc, ISBN-13: 978-0-47 1-59348-5 (pp. 290-313).
59. Nilson Nunes-Tavares, Leal Narcisa, Silva Cunha, Hasson-Voloch Aida Choline acetyltransferase detection in normal and enervated elecrtocyte from Electrophorus electricus (gl.) using a confocal scanning optical microscopy analysis. An. Acad. Bras. Ci. 2002, 72(3).
60. Oldendorf, Braun L., Cornford E. pH dependence of blood-brain barrier permeability to lactate and nicotine. Stroke 1979, 10:577-581.
61. Pennefather, Quastel Relation between subsynaptic receptor blockade and response to quantal transmitter at the mouse neuromuscular junction. J. Gen. Physiol. 1981, 78:313-344.
62. Perry E., Walker M., Grace J., Perry R. Acetylcholine in mind: a neurotransmitter correlate of consciousness. Trends Neurosci. 1999, 22:273-280.
63. Pinter G.G., Shohet J.L. Two fluid compartments in the renal inner medulla: a view through the keyhole of the concentrating process. Phil. Trans. R. Soc. A 2006, 364:1551-1561. 10.1098/rsta.2006.1774.
64. Polsky R., Shuster L. Preparation and characterization of two isozymes of choline acetyltransferase from squid head ganglia. (II-Self-association, molecular weight determinations and studies with inactivating antisera. Biochem. Biophys. Acta 1976, 445:43-66.
65. Radic, Taylor Structure and function of cholinesterases. toxicology of organophosphate & carbamate compounds 2006, 161-186.
66. Rae C., Scott R., Thompson C.H., Dumughn I., Kemp G., Styles P., Tracey I.M., Radda G.K. Is brain pH a biochemical marker of IQ?. Proc. Biol. Sci. 1996, 262:1061-1064.
67. Ringman J.M., O'Neill J., Geschwind D., et al. Diffusion tensor imaging in preclinical and presymptomatic carriers of familial Alzheimer's disease mutations. Brain 2007, 130:1767-1776.
68. Saiz Leonor, Klein Michael L The transmembrane domain of the acetylcholine receptor: insights from simulations on synthetic peptide models. Biophys. J. 2005, 88:959-970.
69. Sakamoto N. Linear feedback control of acetylcholine level in the presynaptic terminal. Biosystems 1990, 24(3):183-192.
70. Salvaterra Paul Molecular biology and neurobiology of choline acetyltransferase. Mol. Neurobiol. 1987, 1(3):247-280.
71. Santos, J., Friboulet, A., Lozano, R., 2006. Modelling of acetylcholinesterase immobilized into artificial membrane. In: Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings of the 28th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS'06, 2006, pp. 4187-4191.
72. Schwartz James, Eisenstadt Michael, Cedar Howard Metabolism of Acetylcholine in the nervous system of Aplysia californica. J. Gen. Phys. 1975, 65:255-273.
73. Shen P., Larter R. Role of substrate inhibition kinetics in enzymatic chemical oscillations. Biophys. J. 1994, 67(4):1414-1428.
74. Sterling G.H., Doukas Peter H., Fiori J., Ricciardi J., Biedrzycka Diane W, O'Neill John J. Inhibition of high-affinity choline uptake and acetylcholine synthesis by quinuclidinyl and hemicholinium derivatives. J. Neurochem. 2006, 46(4):1170-1175.
75. Strogatz, S., 1994. Nonlinear dynamics and chaos, second printing.
76. Tucek S. Acetylcholine Synthesis in Neurons 1978, Champan &hall, London.
77. Tucek S. Regulation of acetylcholine synthesis in the brain. J. Neurochem. 1985, 44:11-24.
78. Tucek S. The synthesis of acetylcholine: twenty years of progress. Progress in Brain Research 1990, 84:467-477.
79. Waser G., Riggio G., Raeber A.J. Purification and isolation of choline acetyltransferase from the electric organ of Torpedo marmorata by affinity chromatography. Eur. J. Biochem. 1989, 186:487-492.
80. Wecker L., Dettbarn W.D., Schmidt D.E. Choline administration: modification of the central actions of atropine. Science 1978, 199:86-87.
81. Wecker Lynn, Dettbarn Wolf Relationship between Choline availability and acetylcholine synthesis in discrete regions of rat brain. J. Neurochem. 1979, 33:961-967.
82. Wessler I., Roth E., Schwarze S., Weikel W., Bittinger F., Kirkpatrick C.J., Kilbindger H. Release of non-neural acetylcholine from the human placenta: difference to neural acetylcholine. Naunyn-Schmiedeberg's Arch. Pharmacol. 2001, 364:205.
83. Wurtman R.J., Blusztajn J.K., Ulus I.H., Coviella I.L., Buyukuysal R.L., Growdon J.H., Slack B.E. Choline metabolism in cholinergic neurons: implications for the pathogenesis of neurodegenerative diseases. Adv. Neurol. 1990, 51:117-125.
84. Yamamura H., Snyder S. Postsynaptic localization of muscarinic cholinergic receptor binding in rat hippocampus. Brain Research 1974, 78(2):320-326.
85. Zauner A., Muizelaar J.P. Brain metabolism and cerebral blood flow. Head Injury: Pathophysiology and Management of Severe Closed Injury 1997, Chapman & Hall, London. P. Reilly, R. Bullock (Eds.).