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53.3. SimuIated Results for Present Recombinant Yeast The batch culture model consists of 5 differential qations and 10 analyticai equations. These 15 equations must be solved simultaneously in order to evaluate the fermentation variables, which are glucose concentration (G), total cell concentration (X), plasmid- bearing ceii concentration (X'), ethanol concentration (E), recombinant protein concentration (P) and the fraction of plasmid-bearing œiis (F). The differential equations were solved numericaily using a fourth order Rnnge-Kutta algorithm whiîe Newton's method was used for solving the anaiyticai eqnations. The step size taken was 0.2 hour. Solution of the model equations was pmgrammed in C code and was mn in a Turbo Ccç environment (Borland hc.). A phtom of the source code is presented in AppendUt F. Graphical representation of the mode1 output and experirnental data were canied out with Excel software. A cornparison beniveen the model-simulated and experimental results for the present ncornbhant yeast (C46apGAC9) culture in airiin bioreactor is presented in Figure 5.2. Figure 5.2 shows exceRent agreement between mode1 predictions and experimental mulu for glucose, ceii mas, ethanol glumamylase (recombinant protein) and fiaction of plasmid-bearing cek during batch fermentation of recombinant S. cerevisioe soain C468lpGAC9. Using the modifieci Monod equation, the mode1 successfuny predicted diauxic growth, glucose consumption, ethanol production and ethanol utilharion after glucose exhausrion. With the assumption that the formation of recombinant protein is only
1 n Glucose o Cell Mass O Ethano1 A Glucoamylase x FPBC 1 Figure 5.2. Cornparison between Model Simulation (solid Une) and Experimental Data (markers) for Batch Fermentation with Recombinant Yat Strain C4WpGAC9 Producing Gluc~ampiase (data f m airrent dudies).
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BIOREACTOR STUDIES OF HETEROLOGOUS
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nie University of Waterloo requin%
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ate depended on activities of the p
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Acknowiedgments Fmt of aü, 1 am ve
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2.6. Concluding Rernarks ..........
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5.3.3. Simlilated Results for Prese
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Table 1.1. Table 1.2. Table 1.3. Ta
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Figure 2.1. Figure 3.1. Figure 3.2.
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during Continuous Culture in Airlif
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Figure 5.3. Comparison between Mode
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Cell Systern at Glucose Feed Concen
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a .......... growth ratio (dimensio
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Y, ... ethanol yield for fermentati
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foreign plasmids. One major chalien
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than the denanired, inclusion body
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Table 1.2. Strategies for Enhancing
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Table 1.3. Host Cek, Pfasmids, Gene
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1.4. Immo bilized-Cell Bioreactors
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1. Study the gmwth characteristics,
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plasmid are used; or chromaromal DN
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2.2.1. Genetic Factors 2.2.1.1. Pid
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1- fkquently than a plasmid with Io
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Da Silva and Bailey (1991) used the
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LEU2 or TRPI is cloned into the aux
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eported reduced stabiliity in the s
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on metabolic pathways. In the ferme
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OC), oniy about 35% of the populati
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loss @) is dehned as the probabilit
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+ s Dilution Rate = p' = CI,- - K*+
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concentration couid Iead to coexist
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that factors other than immobiiizat
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earing and plasmid-tke =Ils. Gel be
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productivity irrespective of the mo
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inactive and useless. The problern
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Aerobic fermentation osing iamnobih
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(ranghg h m 1 to 7) on citric acid
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celi fraction decreases monotonicai
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(1987) model aliows for plasmid ins
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affect plasmid stability have ben o
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CEtAPTER 3 MATERIALS AND METHODS 3.
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stiU deleted hm the plasmid. Such p
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1) Reagent solution preparation was
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nonse1ective agar plates, but only
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working Liquid volume. The aeration
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3.5. UNnobilized Ceil Culture 35.1.
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3.52 Cd Lmmobiiization Yeast attach
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3.6. Experimental Error and Reprodu
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-0-Cell(1) +Total CeII (2) 4- Ethan
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* . I I a O 2 4 6 8 10 12 14 Batche
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Cell Maso, Glucose and EthanoI(g1L)
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4.2.2. Batch CuIture in Stirreà-Ta
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[t ~lucoamylase (ALR) -e Glucoamyla
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The finai giucoamyiase concentratio
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Bentley and Kompala, 1989; Satyagal
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160 First ExponenUaI Phase 1 -c ALR
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Figure 4hl. Pathways of Yeast Intem
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fermentation (using nitrogen spargi
Page 115 and 116: 43. Continuous Suspension Culture C
Page 117 and 118: Figure 4.9. Continuous Suspension C
Page 119 and 120: 1 +Enzyme +Fradlan of PBC +CeIl Mas
Page 121 and 122: Figures 4.12 and 4.13 show that by
Page 123 and 124: Fi- 4.13. Cornparison of Glu~iase C
Page 125 and 126: where 6 = p- - p' + pp*, which is a
Page 127 and 128: Figure 4-14. Effeds of Dilution Rat
Page 129 and 130: Impoolsup et ai. (1989a) and Hardji
Page 131 and 132: Figure 4.16. dB/dt versus B Plots a
Page 133 and 134: Figure 4.17. Totai Cell Mas at Diff
Page 135 and 136: another recombinant yeast (impoolsu
Page 137 and 138: other recombinant yeast under nonse
Page 139 and 140: 4.3.4. Effixt of Dilution Rate On R
Page 141 and 142: Figure 4.18- Etlects of Mluiioa Rat
Page 143 and 144: Number of Generations - - - - - - *
Page 145 and 146: B Table 4.5. Metabolic Pathway Anal
Page 147 and 148: concentration. But this may be more
Page 149 and 150: [+ Enzyme (ALR) + Enzyme (STR) +Fra
Page 151 and 152: necessary for host ce& to grow in t
Page 153 and 154: Glucoamylase ConcentraUon (unltsll)
Page 155 and 156: [a Selective Medium A Nonseiective
Page 157 and 158: 5.1 Introduction CHAPTER 5 MODELING
Page 159 and 160: handle. excess glucose is femented
Page 161 and 162: The carbon fluxes h m the three met
Page 163 and 164: 53. Modei Simulation in Batch CuItu
Page 165: Table 5.1. Summary of Parameters fo
Page 169 and 170: detennined in the cunent study, the
Page 171 and 172: Figure 5.4. Cornparison between Mod
Page 173 and 174: equations are üsted in Appendix G.
Page 175 and 176: a dilution rate at which the giucoa
Page 177 and 178: [ o Expetfmental data -Simuiated mt
Page 179 and 180: The effixts of dilution rate on the
Page 181 and 182: Ttme (hrs) 1 a Enzyme A Phsrnid-Bea
Page 183 and 184: It may take several generations for
Page 185 and 186: understanding of the nature of the
Page 187 and 188: On the other hand. the net accumula
Page 189 and 190: Differentiating Equation (6.20) res
Page 191 and 192: Enyme collcentration m the t>ioreac
Page 193 and 194: Glucoamylase Concentration (units/L
Page 195 and 196: 50 100 150 200 Time (hrs) 1 O Free
Page 197 and 198: F i 6.6. Cornparison of Fnx Cd Mars
Page 199 and 200: . - O 50 100 150 200 250 nme (hrs)
Page 201 and 202: Nasi et ai.. 1988) and recombinant
Page 203 and 204: estimated by using Equation (6.24)
Page 205 and 206: [a lmmobilked System O Free System
Page 207 and 208: oxidation pathway. W~th increasing
Page 209 and 210: O 50 100 150 200 250 300 Tirne (hrs
Page 211 and 212: epeated batch fermentations, the fe
Page 213 and 214: Glucoamylase Concentration (unitslL
Page 215 and 216: 6) Suitable for repeated-batch and
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ecause glucose fermentation dominat
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cells. Tests of the proposed model
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7.2. Recommendations The foUowing f
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APPENDIX A: PLASMID MAP FOR pGAC9 l
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where Bi (Biot number) = - ks De @
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APPENDK C. EFFECTS OF INITIAL GLUCO
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Figure C.2. Effect of Initial Gluco
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Figure C.4 Effect of Initial Glucos
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APPENDLX D. COMPARISON OF ORIGINAL
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(continue)
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(continue)
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(continue)
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E.2. Batch Fermentation with Recomb
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(continue)
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(continue) tfhJ 0.5 10.5 12.75 12.5
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(continue)
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E.3.2. Experimental Data (Parker an
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Run No: CALE (Selected Strain. D =
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Run No: CALR 5 (Original Suain, D =
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Run No: CSTR3 (Selected Suain, D =
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(continue)
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Run No: CICR2 (Selected Suain, D =
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Run No: CiCR4 (Selected Suain, D =
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Eh. Repeated Batch Culture in hmobi
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APPENDIX F. C CODE FOR THE PROPOSED
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* the initial data */ /* gening the
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* getting the founh term in R-K met
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I*Plasrnid-bearing ceU concentratio
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* Func tion C 1 */ îloat C l(float
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APPEMIM G. EXAMPLES OF MAPLE V CODE
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REFERENCES Ataai. MM. and Shuler. M
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Caunt, P.. hpoolsup, A.. and Greenf
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cuitanes of E. coli BZ18@TG 201) wi
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Gabrieisen. O.S. et aL (1990), Effi
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Huang, C-T., Peretti, S.W., and Bry
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Kim, B.G. and Shuler, M.L. (1990a),
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Lee, S.B.. Ryu, D.D.Y., seigel, R,
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Nasri, M., Sayadi. S.. Barbotin, J.
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Pin, S.J. and Kmwski. W.M. (1970),
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Seo, I-H. and Bailey. J.E. (1985).
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Tumer. B.G., Avgerinos G-C.? Melnic
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Yu, J. and Tang, X (Editor, 1991),
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