Practical implications of bifurcation and chaos in chemical and biological reaction engineering

International Journal of Chemical Reactor Engineering

Volumn 4, Issue , 2006, Pages 1-44

  Elnashaic, Said S E H ^a   Chen, Zhongxiang ^a   Garhyan, Parag ^b   Prasad, Pradeep ^c   Mahecha Botero, Andres ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b ELI LILLY AND COMPANY   (United States)

^c UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

Bifurcation; Biological reaction engineering; Chaos; Chemical reaction engineering

Indexed keywords

BIFURCATION (MATHEMATICS); CHEMICAL ENGINEERING; COMPUTER SIMULATION; DIFFUSION; DISEASES; FLUIDIZED BEDS;

BIOLOGICAL REACTION ENGINEERING; CHEMICAL REACTION ENGINEERING;

CHAOS THEORY;

EID: 33646819357     PISSN: 21945748     EISSN: 15426580     Source Type: Journal    
DOI: None     Document Type: Article

References (137)

1. Adris, A.M., S.S.E.H.Elnashaie and R.Hughes, "A Fluidized Bed Membrane Reactor for the Steam Reforming of Methane," the Canadian Journal of Chemical Engineering, 69(10), 1061 (1991).
2. Adris, A., Grace, J., Lim, C. and Elnashaie, S.S.E.H., "Fluidized Bed Reaction System for Steam/ Hydrocarbon Gas Reforming to Produce Hydrogen", US Patent no 5,325,550, June (1994a).
3. Adris, A. M., Lim, C.J. and Grace, J.R., "The Fluidized Bed Membrane Reactor (FBMR) System: a Pilot Scale Experimental Study", Chemical Engineering Science, 49, 5833-5843, (1994b).
4. Adris, A.M., C.J.Lim and J.R.Grace, "The fluidized-Bed Membrane Reactor for Steam Methane Reforming: Model Verification and Parametric Study", Chemical Engineering Science, 52(10), 1609-1616, (1997).
5. Adris, A., Grace, J., Lim, C. and Elnashaie, S.S.E.H., "Fluidized Bed Reaction System for Steam/ Hydrocarbon Gas Reforming to Produce Hydrogen", Canadian Patent no. 2,081,170, Date: December 24, (2002)
6. th meeting of the southwest German psychiatrists in Tubingen), 23, 1129-1134, (1906).
7. Alzheimer's Association, "Alzheimer's Disease", from http://www.alz.org/.(2006).
8. Alzheimer's Disease Education and Referral Center, "Alzheimer's Information", from http://www.nia.nih.gov/Alzheimers/.(2006).
9. Aris, R. and Amundson, N.R. "An analysis of chemical reactor stability and control", Parts I-III. Chemical Engineering Science, 7(3), 121-155, (1958).
10. Bailey, J.E. "Mathematical modeling and analysis in biochemical engineering: past accomplishments and future opportunities". Chemical Engineering Communications, 13(1-3), 111-132, (1998).
11. Bailey, J.E. and Ollis, D.R, "Biochemical Engineering Fundamentals", McGraw Hill, New York, (1977).
12. Balakotaiah, V. and Luss, D., "Analysis of multiplicity patterns of a CSTR", Chemical Engineering Communications, 13(1-3), 111-132, (1981).
13. Balakotaiah, V. and Luss, D., "Multiplicity criteria for multiple-reaction networks". AIChE Journal, 29(4), 552-560,(1983a).
14. Barbieri G. and Francesco P. Di Maio, "Simulation of Methane Steam Reforming Process in a catalytic Pd-Membrane Reactor, Ind. Eng. Chem. Res., 36, p2121-2127, (1997)
15. Barman, T.E. Enzyme Handbook-Volumes 1& 2; Springer-Verlag: New York (1969).
16. Bellgardt, K.-H. Analysis of synchronous growth of baker's yeast: Part I: Development of a theoretical model for sustained oscillations. J. Biotechnol., 35, 19, (1994).
17. Braunwald, E., Fauci, A.S., Kasper, D.L., Hauser, S.L., Longo, D.L., L.Jameson, J., Eds., "Alzheimer's disease and other primary dementias", Harrison's principles of internal medicine. New York, McGraw-Hill (2001).
18. Cazzador, L. Analysis of oscillations in yeast continuous cultures by a new simplified model. Bull. Math. Biol., 53, 685, (1991).
19. Cazzador, L.; Alberghina, L.; Martegani, E.; Mariani, L. Bioreactor control and modeling: A simulation program based on a structured population model of budding yeast. In Bioreactors and Biotransformations; Moody, G. W., Baker, P. B., Eds.; Elsevier: London, p 64, (1987).
20. th World Hydrogen Energy Conference, Montreal, Canada, (2002).
21. Chen, Z. and S.S.E.H. Elnashaie, Bifurcation and Its Implications for a Novel Autothermal Circulating Fluidized Bed Membrane Reformer for the Efficient Pure Hydrogen Production, Chemical Engineering Science, 60(15), p4287-4309, (2005).
22. Chen, Z., Y. Yan and S.S.E.H. Elnashaie, "Modeling and Optimization of a Novel Membrane Reformer for Higher Hydrocarbons", 49 (5), AIChE J., p1250-1265, (2003a).
23. Chen, Z., Y. Yan, and S.S.E.H. Elnashaie, "Novel Circulating Fast Fluidized Bed Membrane Reformer for Efficient Production of Hydrogen from Steam Reforming of Methane", Chem. Eng. Sci., 58(19), pp.4335-4349, (2003b).
24. Chen,Z., and S.S.E.H. Elnashaie, Bifurcation and Its Implications for a Novel Autothermal Circulating Fluidized Bed Membrane Reformer for the Efficient Pure Hydrogen Production, Chem. Eng. Sci., 60(15), p4287-4309, (2005).
25. Choi,K.Y. and Ray,W.H., "The Dynamic Behavior of Fluidized Bed Reactors for Solid Catalyzed Gas Phase Olefin Polymerization", Chem.Eng.Sci.,40(12),2261-2279, (1985)
26. Christensen, T. S., "Adiabatic Pre-reforming of Hydrocarbons - an Important Step in Syngas Production", Applied Catalysis A: General, 138, pp285-309, (1996).
27. Daugulis, A.J., McLellan, P.J. and Li, J. "Experimental investigation and modeling of oscillatory behavior in the continuous culture of Zymomonas mobilis". Biotechnology & Bioengineering, 56(1), 99-105, (1997).
28. Davey, H .M., Davey, C.L., Woodward, A.M., Edmonds, A.N., Lee, A.W., and Kell, D. B. "Oscillatory, stochastic and chaotic growth rate fluctuations in permittistatically controlled yeast cultures". Biosystems, 39(1), 43-61, (1996).
29. Doedel, E. J., Champneys, A. R., Fairgrieve, T. F., Kuznetsov, Y. A., Sandstede, B., and Wang, X.J, "AUTO97: Continuation and bifurcation software for ordinary differential equations". Department of Computer Science, Concordia University, Montreal, Canada., (1997).
30. Douglas, J.M. "Process Dynamics and Control, Volume 2, Control System Synthesis". Prentice Hall, New Jersey, USA, (1972).
31. Douglas, J.M. and Rippin, D.W.T., Unsteady-state process operation, Chem. Eng. Sei. 21 (4), 305-315, (1966).
32. Duboc, P.; von Stockar, U. Modeling of oscillating cultivations of Saccharomyces cerevisiae: Identification of population structure and expansion kinetics based on on-line measurements. Chem. Eng. Sci., 55, 149, (2000).
33. Eakman, J. M.; Fredrickson, A. G.; Tsuchiya, H. H. Statistics and dynamics of microbial cell populations. Chem. Eng. Prog. Symp. Ser., 62, 37, (1966).
34. Elnashaie, S.S.E.H. "Multiplicity of the steady state in fluidized bed reactors. III- yield of consecutive reaction", A - B - C. Chemical Engineering Science, 32(3), 295-301, (1977).
35. Elnashaie S.S.E.H and Adris, A., "Fluidized Bed Steam Reformer for Methane", Proceedings of the IV International Fluidization Conference, Banff, Canada, May (1989).
36. Elnashaie, S.S.E.H. and Elshishini, S.S. "Dynamic Modeling, Bifurcation and Chaotic Behavior of Gas-Solid Catalytic Reactors", Gordon and Breach Science Publishers, London, UK, (1996).
37. Elnashaie, S.S.E.H., and El-Bialy, S. "Multiplicity of the steady state in fluidized bed reactors. V- the effect of catalyst decay". Chemical Engineering Science, 35(6), 1357-1368, (1980).
38. 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., 9, 455-463,(1984)
39. Elnashaie, S.S.E.H.; Ibrahim, G.; Teymour, F. A. "Chaotic behavior of an acetylcholinesterase enzyme system". Chaos, Solitons & Fractals. 5, 933-952, (1995)
40. 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. I. Steady-state considerations". Appl.Biochem. Biotechnol. 8, 275-284, (1983)
41. 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. II. Transient behavior". Appl.Biochem. Biotechnol, 8, 467-475, (1983)
42. Elnashaie, S.S.E.H., and Yates, J.G. "Multiplicity of the steady state in fluidized bed reactors. I- steady state considerations". Chemical Engineering Science, 28(7), 515-520, (1973).
43. Elnashaie,S-S.E.H. "Efficient Production and Economics of the Clean Fuel Hydrogen", Keynote Lecture, First International Green Energy Conference, Waterloo , Ontario, Canada, 11-16 June (2005)
44. Elnashaie S.S.E.H, M. E. Abashar and A.S. Al-Ubaid, "Simulation and Optimization of an Industrial Ammonia Reactor", Industrial & Engineering Chemistry Research, 27, 2015 (1988).
45. Elnashaie S.S.E.H and Adris, A., "Fluidized Bed Steam Reformer for Methane", Proceedings of the IV International Fluidization Conference, Banff, Canada, May (1989).
46. Elnashaie, S.S.E.H.; Elshishini, S.S., "Modelling, simulation and optimization of industrial fixed bed catalytic reactors", Gordon and Breach Science Publishers: London, UK, (1993).
47. Elnashaie, S.S.E.H. and Garhyan, P., "Conservation Equations and Modeling of Chemical and Biochemical Processes", Marcel Dekker,NY,USA (2003).
48. Elnashaie, S.S.E.H., P. Prasad, and Z. Chen, Static Bifurcation Characteristics of an Autothermal Circulating Fluidized Bed Hydrogen Generator for Fuel Cells, Industrial & Engineering Chemistry Research, 44(14), p4871-4883, (2005).
49. El-Rifai, M.A.; Elnashaie, S.S.E.H.; Aboulfath, H. "Effect of feedback inhibition on the behavior of multienzyme monolinear reaction chains". J. Solid-Phase Biochem.5, 235-244, (1980)
50. Epstein, I.R., and Pojman, J.A. "An introduction to Nonlinear Chemical Dynamics". Oxford University Press, New York, (1998).
51. Feigenbaum, M. J.. Universal behaviour in nonlinear systems. Los Alamos Science, 1, 4-36, (1980).
52. Fitzhugh, R. "Impulses and physiological states in theoretical models of nerve membranes". Biophys. J., 1, 445-462 (1985)
53. Garhyan, P. and Elnashaie, S.S.E.H. Bifurcation analysis of two continuous membrane fermentor configurations for producing ethanol. Chemical Engineering Science, 59, 3235-3268, (2004c).
54. Garhyan, P. and Elnashaie, S.S.E.H. Experimental investigation and confirmation of static/dynamic bifurcation behavior in a continuous ethanol fermentor. Practical relevance of bifurcation and the contribution of Harmon Ray. Industrial Engineering and Chemistry Research, 44, 2525-2531, (2005).
55. Garhyan, P. and Elnashaie, S.S.E.H. Static/Dynamic bifurcation and chaotic behavior of an ethanol fermentor. Industrial Engineering and Chemistry Research, 43, 1260-1273, (2004b).
56. Garhyan, P., Elnashaie, S.S.E.H., Al-Haddad, S.M., Ibrahim, G. and Elshishini, S.S., Exploration and Exploitation of Bifurcation/Chaotic Behavior of a Continuous Fermentor for the Production of Ethanol, Chemical Engineering Science, 58(8), 1479-1496, (2003).
57. Garhyan, Parag and Elnashaie, S.S.E.H., Bioethanol Production - Solving the Efficiency Bottleneck, The Chemical Engineer, 760, 30-32, October, (2004d).
58. Garhyan, Parag and Elnashaie, S.S.E.H., Utilization of Mathematical Models to Investigate the Bifurcation and Chaotic Behavior of Ethanol Fermentors, Mathematical and Computer Modelling, 39(4-5), 381-427, (2004a).
59. Garhyan, P., S. S. E. H. Elnashaie, Mahecha-Botero, A., "Complex bifurcation/chaotic behavior of acetylcholinesterase and choline- acetyltransferase enzymes system." Applied Mathematical Modelling: Accepted for publication, (2005).
60. Ghommidh, C., Vaija, J., Bolarinwa, S. and Navarro, J.M. "Oscillatory behavior of Zymomonas mobilis in continuous cultures: a simple stochastic model". Biotechnology Letters, 2(9), 659-664, (1989).
61. Giorno, L., Chojnacka, K., Donato, L., Drioli, E., Study of a Cell-Recycle Membrane Fermentor for the Production of Lactic Acid by Lactobacillus bulgaricus. Industrial & Engineering Chemistry Research 41 (3), 433-440, (2002).
62. Giridhar, R., Srivastava, A.K., L-sorbose production in a continuous fermenter with and without cell recycle. World Journal of Microbiology & Biotechnology 17 (2), 185-189, (2001).
63. Goldbeter, A. Biochemical Oscillations and Cellular Rhythms. The Molecular Bases of Periodic and Chaotic Behavior; Cambridge University Press: Cambridge, U.K., (1996).
64. Goltsov Victor A. and T. Nejat Veziroglu, A Step on the Road to Hydrogen Civilization, International Journal of Hydrogen Energy, 27(7-8), Pages 719-723, (2002).
65. Golubitsky, M. and Schaeffer, D.G. "Singularities and bifurcation theory, Vol I". Applied Mathematical Science, Vol V, Springer, Berlin, (1985).
66. Gray, P. and Scott, S.K. "Chemical Oscillations and Instabilities". Clarendon Press, Oxford, (1994).
67. Hjortso, M. A.; Nielsen, J. A conceptual model of autonomous oscillations in microbial cultures. Chem. Eng. Sci., 49, 1083, (1994).
68. th Ed.; W. B. Saunders Company: Amsterdam (2000)
69. Hindmarsh, J. L. and Rose, R. M., "A model of neuronal bursting using three coupled first order differential equations", Proc. Roy. Soc., B221(1222), 87-94, (1984).
70. Hindmarsh, J. L. and Rose, R. M., "A model of the nerve impulse using two first-order differential equations", Nature, 296(5853), 162-169, (1982).
71. Hlavacek, V and Rompay, P.V. "Current problems of multiplicity, stability and sensitivity in chemically reactive systems". Chemical Engineering Science, 36(10), 1587-1597, (1981).
72. Ho, N.W.Y.; Chen, Z.; Brainard, A.P.; Sedlak, M. Genetically engineered Saccharomyces yeasts for conversion of cellulosic biomass to environmentally friendly transportation fuel ethanol. ACS Symposium Series, 767, 143, (2000).
73. Ibrahim, G; Elnashaie, S.S.E.H. "Hyperchaos in acetylcholinesterase enzyme systems". Chaos, Solitons & Fractals, 8, 1977-1988, (1997).
74. Ibrahim, G; Teymour, F.A.; Elnashaie, S.S.E.H. "Periodic and chaotic behavior of substrate-inhibited enzymatic reactions with hydrogen ions production". Appl. Biochem. Biotechnol, 55, 175-190, (1995)
75. Ikegami, T., Yanagishita, H., Kitamoto, D., Karaya, K., Nakane, T., Matsuda, H., Koura, N., Sano, T., Production of Highly Concentrated Ethanol in a Coupled Fermentation/Pervaporation Process using Silicate Membranes. Biotechnology Techniques 11 (12), 921-924, (1997).
76. Ipsen, M., and Schreiber, I. "Dynamical properties of chemical systems near Hopf bifurcation points". Chaos, 10(4), 791-802, (2000).
77. Iranmahboob, J.; Nadim, F.; Monemi, S. Optimizing acid hydrolysis: A critical step for production of ethanol from mixed wood chips. Biomass and Bioenergy, 22(5), 401, (2002).
78. Jarzebski, A.B. "Modeling of oscillatory behavior in continuous ethanol fermentation". Biotechnology Letters, 14(2), 137-142, (1992).
79. Jeong, Y.S., Vieth, W.R., Matsuura, T., Transport and Kinetics in Sandwiched Membrane Bioreactors. Biotechnology Progress 7, 130-139, (1991).
80. Jobses, I.M.L. "Modeling of anaerobic microbial fermentations: the production of alcohols by Zymomonas mobilis and Clostridium beijerincki". PhD Thesis, Delft University, Delft, Holland, (1986b).
81. Jobses, I.M.L., Egberts, G.T.C., Ballen, A.V. and Roels, J.A. "Mathematical modeling of growth and substrate conversion of Zymomonas mobilis at 30 and 35°C". Biotechnology & Bioengineering, 27(7), 984-995, (1985).
82. Jobses, I.M.L., Egberts, G.T.C., Luyben, K.C.A.M. and Roels, J.A. "Fermentation kinetics of Zymomonas mobilis at high ethanol concentrations: oscillations in continuous cultures". Biotechnology & Bioengineering, 28(6), 868-877, (1986a).
83. Jones, K. D.; Kompala, D. S. Cybernetic modeling of the growth dynamics of Saccharomyces cerevisiae in batch and continuous cultures. J. Biotechnol., 71, 105, (1999).
84. Kaylen, M; Van Dyne, D.L.; Choi, Y.S.; Blase, M. Economis feasibility of producing ethanol from lignocellulosic feedstocks. Bioresource Technology, 72(1), 19, (1999).
85. Keener, J.P. "Infinite period bifurcation and global bifurcation branches. Journal of Applied Mathematics", 41, 127-144, (1981).
86. Kralik, M., Macho, V., Brautbar, N., Vachalkova, A., Mikulec, J., Engine fuels in the 21st century. Petroleum and Coal 43 (2), 72-79, (2001).
87. Krishnan, M.S.; Xia, Y.; Ho, N.W.Y.; Tsao, G.T. Fuel ethanol production from lignocellulosic sugars. Studies using a genetically engineered Saccharomyces yeast. ACS Symposium Series, 666, 74, (1997).
88. Kubaiecek, M. and Marek, M. "Computational methods in bifurcation theory and dissipative structures", Springer Verlag, New York. (1983).
89. Laluce, C., Souza, C.S., Abud, C.L., Gattas, E.A.L., Walker, G.M., Continuous ethanol production in a nonconventional five-stage system operating with yeast cell recycling at elevated temperatures. Journal of Industrial Microbiology & Biotechnology 29 (3), 140-144, (2002).
90. Lang, X., Macdonald, D.G., Hill, G.A., Recycle bioreactor for bioethanol production from wheat starch II. Fermentation and economics. Energy Sources 23 (5), 427-436, (2001).
91. Liljernoth, F.G. "Starting and stability phenomenon of ammonia oxidation and similar reactions". Chemical Metallurgical Engineering, 19, 287-291, (1919).
92. Llinás, R.R., "The Squid Giant Synapse: A Model for Chemical Transmission"; Oxford University Press: London, (1999).
93. Mahecha-Botero, A., Garhyan, P., Elnashaie, S.S.E.H., "Bifurcation and chaotic behaviour of a coupled acetylcholinesterase/choline acetyltransferase diffusion-reaction enzymes system." Chemical Engineering Science 59: 581-597, (2004).
94. Mahecha-Botero, A., Garhyan, P. Elnashaie, S.S.E.H., "Modeling, bifurcation and chaotic behaviour of a coupled acetylcholinesterase/choline acetyltransferase enzymes neurocycle." Mathematical and Computer Modelling 41(6/7): 655-678, (2005).
95. Mahecha-Botero, A., Garhyan, P., and Elnashaie, S.S.E.H., Bifurcation, Stabilization and Ethanol Productivity Enhancement in a Membrane Fermentor, Mathematical and Computer Modelling, 41(4-5), 391-406, (2005).
96. Mais, U.; Esteghlalian, A.R.; Saddler, J.N.; Mansfield, S.D. Enhancing the enzymatic hydrolysis of cellulose materials using simultaneous ball milling. Applied Biochemistry and Biotechnology, 98-100, 815 (Biotechnology for Fuels and Chemicals), (2002).
97. McLellan, P.J., Daugulis, A.J., and Li, J. "The incidence of oscillatory behavior in the continuous fermentation of Zymomonas mobiles". Biotechnology Progress, 15(4), 667-680, (1999).
98. Melo, P.A., Sampaio, J.G., Biscaisa Jr., E.C., and Pinto, J.C. "Periodic oscillations in continuous free-radical solution polymerization reactors-a general approach". Chemical Engineering Science, 56(11), 3469-3482, (2001).
99. Naka, T., Sakamoto, N., "Two-dimensional compartment model for generation of miniature endplate current at the neuromuscular junction", Comments on Theoretical Biology Vol. 6, 1-28 (2001).
100. Naka, T., Shiba, K., Sakamoto, N., "A two-dimensional compartment model for the reaction-diffusion system of acetylcholine in the synaptic cleft at the neuromuscular junction", BioSystems Vol. 41, 17-27 (1997).
101. Naparrstek, A.; Romette, J.L.; Kernevez, J.P.; Thomas, D. "Memory in enzyme membranes". Nature., 249, 460-467,(1974).
102. National Parkinson Foundation, "About Parkinson's Disease", from http://www.parkinson.org.(2006).
103. Newton, R., Energy: biofuels are the future. Chemistry & Industry (London) (11), 14-15, (2003).
104. Nomura, M.T.B., Nakao, S., Selective Ethanol Extraction from Fermentation Broth using a Silicate Membrane. Separation and Puri%cation Technology 27, 59-66, (2002).
105. O'Brien, D.J., Craig Jr., J.C., Ethanol production in a continuous fermentation/membrane pervaporation system. Applied Microbiology and Biotechnology 44 (6), 699-704, (1996).
106. th World Hydrogen Energy Conference, Montreal, Canada, June 9-13, (2002).
107. Páez, M.C.; and Fayad, R. "Diffusion of the neurotransmitter cannot govern the rise time of miniature end-plate". Revis ta Colombiana de Física, 31, 163-168, (1999)
108. Parkinson, J. Essay on Shaking Palsy; London: 1817.
109. Parkinson's Information, "About Parkinson's Disease", from http://www.parkinsonsinfo.com/.(2006).
110. Patience G. S., J, Chaouki, F. Berruti and R. Wong, Scaling considerations for circulating fluidized bed risers, Powder Technology, 72(1), p31-37, (1992).
111. Pirt, S. J. "The maintenance energy of bacteria in growing cultures". Proceedings of the Royal Society of London, Series B: Biological Sciences, 163, 224-231, (1965).
112. Prasad P., and S.S.E.H. Elnashaie, Novel Circulating Fluidized Bed Membrane Reformer for the Efficient Production of Ultra clean Fuels from Hydrocarbons, Ind. Eng. Chem. Res., 41, p6518-6527, (2002).
113. Quinn, D.M.; Balasubremanian, A.S.; Doctor, B.P.; Taylor, P. "Enzymes of the Cholinesterase Family"; Plenum Press: London, (1995)
114. Ramkrishna, D.; Kompala, D. S.; Tsao, G. T. Are microbes optimal strategists? Biotechnol. Prog., 3, 121, (1987).
115. Ray, W.H. "Bifurcation phenomena in chemically reacting systems". Applications of Bifurcation Theory, ed. Rabinowiz, P.H., Academic Press, New York, 285-315, (1977).
116. Razon,L.F. and Schmitz, R.A. "Intrinsically Unstable Behavior During the Oxidation of Carbon Monoxide on Platinum", Catal.Rev.,Sci.Eng., 28(1),89-164,(1986)
117. Roca, C., Olsson, L., Increasing ethanol productivity during xylose fermentation by cell recycling of recombinant Saccharomyces cerevisiae. Applied Microbiology and Biotechnology 60, 560-563, (2003).
118. Rostrup-Nielsen, J., "Hydrogen via Steam Reforming of Naphtha", Chemical Engineering Progress, 9, 87 (1977).
119. Shu, B.P.A. Grandjean and S. Kaliaguine, Methane Steam Reforming in asymmetric Pd- and Pd-Ag/porous SS Membrane Reactor, Appl. Catal, A 119, p305-325,(1994)
120. So, K.S.; Brown, R.C. Economic analysis of selected lignocellulose-to- ethanol conversion technologies. Applied Biochemistry and Biotechnology, 77-79, 633 (Twentieth Symposium on Biotechnology for Fuels and Chemicals, 1998), (1999).
121. Soreq, H; Xakut, H. "Human Cholinesterases and Anticholinestrases"; Academic Press: New York (1993)
122. Srienc, F.; Dien, B. S. Kinetics of the cell cycle of Saccharomyces cerevisiae. Ann. N.Y. Acad. Sci. 59, (1992).
123. Sun, Y.; Cheng, J. Hydrolysis of lignocellulosic materials for ethanol production: A review. Bioresource Technology, 83(1), 1, (2002).
124. Teymour,F. and Ray,W.H. "The Dynamic Behavior of Continuous Polymerization Reactors. IV. Complex Dynamics in Full-scale Reactors",Chem. Eng.Sci.,47(15-16),4133-4170,(1992)
125. Tottrup P.B., Evaluation of Intrinsic Steam Reforming Kinetic Parameters from Rate Measurements on Full Particle Size, Applied Catalysis, 4, p377-389(1982)
126. Tsai, C.Y., A. G. Dixon, W.R. Moser and Y.H. Ma, "Dense Perovskite Membrane Reactors for Partial Oxidation of Membrane to Syngas", Journal of AIChE, 43(11A), 2741 (1997).
127. Tucek, S. "Acetylcholine Synthesis in Neurons"; John Wiley, New York (1978)
128. nd Edition, Wolfe Publishing Ltd, London, England, pp225-282, (1989).
129. Uppal, A., Ray, W.H. and Poore, A.B. "On the dynamic behavior of continuous stirred tank reactors". Chemical Engineering Science, 29(4), 967-985, (1974).
130. Uppal, A., Ray, W.H. and Poore, A.B. "The classification of the dynamic behavior of continuous stirred tank reactors". Chemical Engineering Science, 31(3), 205-214, (1976).
131. Ward, O.P., Singh, Ajay., Bioethanol technology: developments and perspectives. Advances in Applied Microbiology 51, 53-80, (2002).
132. Wolf, J., Sohn, H.Y., Heinrich, R., and Kuriyama, "Mathematical analysis of a mechanism for autonomous metabolic oscillations in continuous culture of Saccharomyces cerevisiae". FEBS Letters, 499(3), 230-234, H. (2001).
133. Wolf, J.; Sohn, H. Y.; Heinrich, R.; Kuriyama, H. Mathematical Analysis of a Mechanism for Autonomous Metabolic Oscillations in Continuous Culture of Saccharomyces cerevisiae. FEBS Lett., 499, 230, (2001).
134. Xiu, Z. L., Zeng, A.P. and Deckwer, W.D. "Multiplicity and stability analysis of microorganisms in continuous culture: effects of metabolic overflow and growth inhibition". Biotechnology & Bioengineering, 57(3), 251-261, (1998).
135. Xu J and G.F. Froment, Methane Steam Reforming, Methanation and Water-Gas Shift: I. Intrinsic Kinetics, J. AIChE, 35(1),p88-96(1989)
136. Zamamiri, A.M., Birol, G., and Hjortso, M. A. "Multiple steady states and hysteresis in continuous, oscillating cultures of budding yeast". Biotechnology and Bioengineering, 75(3), 305-312, (2001).
137. Zhang, Y and Henson, M. A. "Bifurcation analysis of continuous biochemical reactor models". Biotechnology Progress, 17(4), 647-660, (2001).