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APPENDIX F. C CODE FOR THE PROPOSED MODEL tloat Miu [(float g. float q, float t): fioat MiuZ(fioat g. float q, îloat t); float Miu3(float q, Roat e); tloat Miu(float g. float q. fioat e, float t); float Q(Boat g. float q, float t); float dQ(fioat g, float q, float t); float C l (float q, float t): float Cl(float q, noat t); float Findq (floar g, float q, float t); float Fg(float q, float x); float Fx(float g. float q. fioat e. ffoat x. float t); float Fxp(fioat g, float q, float e, float xp, float t): Boat Fe(floar g, float q. float e, float x, float t); tloat Fp(fIoat g. float q, float e, float xp, float t); fIoat L(float t): /* model pumeters */ static float Yxg 1 ; I*ceU yieid for glucose fenentation*/ static float YxgZ; /*cet1 yield for glucose oxidationV sratic float Yex: Pethuioi yield for fermentation pathwayi/ static tloat Yxe; /*ceIl yield for ethanol oxidation*l static float Ypx2: I*glucoamyIase yield for glucose oxidation pathway*l static float Ypx3; I*glucoarnyIase yield for ethano1 oxidation pathway*/ static float M 1 ; /*speQfic growth rate for glucose fermentation*/ static tloat M2: I*specific pwth rate for glucose oxidation*/ static float M3; /*specific growth rate for ethanol oxidation*l static float KI: /*saturation constant for glucose fementa~on*l static float K2; /*saturation constant for glucose oxidation*/
static float K3; /*saturation constant for ethanol oxidation*/ static float ka; /*first regulation constant for Cl */ static float kb; /*second regulation constant for C 1 */ static float kc; /*fint regulation constant for Q*/ static fioat kd; /*second reguhtion constant for C2*/ static Boat ppl; I*probability <strong>of</strong> plasrnid los*/ static float tlag; /*hg tirne*/ /* fermentation variables */ tloiit G. q, X. Xp. E. P: /* Glucose. Glucose flux. Toui biomass, Plasmid-beiuing cell. Ethanol. Glucoamylase */ Boat m 1. m2. m3. c 1. c2; 1* Specifc growth rates for glucose fermentation. glucose oxidation and ethanol oxidation. pacing enzyme pools for glucose fermentation and glucose oxidation */ float t, tfinal, delt: /* culture time, final culture time and time interval */ l* dummy variables in Runge-Kutta method */ tlmt t l.t2,t3. t4; t~oat g 1.82.83, g4; tloat q 1. q2,q3. q4; float x 1, x2, x3, x4; float xp 1. xp2, xp3. xp4; tloat e 1. e2. e3, e4; tloat p 1. p2, p3, p4: flont Fg 1. Fg2. Fg3. Fg4: tloat Fs 1. Fx2, Fx3, Fx4; Boat Fxp 1. Fxp2. Fxp3. Fxp4; float Fe 1, Fe2, Fe3, Fe4; float Fp 1, Fp2. Fp3. Fp4; fout 1=f0pen("rnodel.dat",~'write~): 1* getting the parameters data*/
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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
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43. Continuous Suspension Culture C
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Figure 4.9. Continuous Suspension C
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1 +Enzyme +Fradlan of PBC +CeIl Mas
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Figures 4.12 and 4.13 show that by
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Fi- 4.13. Cornparison of Glu~iase C
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where 6 = p- - p' + pp*, which is a
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Figure 4-14. Effeds of Dilution Rat
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Impoolsup et ai. (1989a) and Hardji
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Figure 4.16. dB/dt versus B Plots a
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Figure 4.17. Totai Cell Mas at Diff
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another recombinant yeast (impoolsu
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other recombinant yeast under nonse
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4.3.4. Effixt of Dilution Rate On R
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Figure 4.18- Etlects of Mluiioa Rat
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Number of Generations - - - - - - *
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B Table 4.5. Metabolic Pathway Anal
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concentration. But this may be more
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[+ Enzyme (ALR) + Enzyme (STR) +Fra
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necessary for host ce& to grow in t
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Glucoamylase ConcentraUon (unltsll)
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[a Selective Medium A Nonseiective
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5.1 Introduction CHAPTER 5 MODELING
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handle. excess glucose is femented
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The carbon fluxes h m the three met
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53. Modei Simulation in Batch CuItu
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Table 5.1. Summary of Parameters fo
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1 n Glucose o Cell Mass O Ethano1 A
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detennined in the cunent study, the
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Figure 5.4. Cornparison between Mod
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equations are üsted in Appendix G.
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a dilution rate at which the giucoa
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[ o Expetfmental data -Simuiated mt
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The effixts of dilution rate on the
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Ttme (hrs) 1 a Enzyme A Phsrnid-Bea
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It may take several generations for
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understanding of the nature of the
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On the other hand. the net accumula
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Differentiating Equation (6.20) res
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Enyme collcentration m the t>ioreac
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Glucoamylase Concentration (units/L
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50 100 150 200 Time (hrs) 1 O Free
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F i 6.6. Cornparison of Fnx Cd Mars
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. - O 50 100 150 200 250 nme (hrs)
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Nasi et ai.. 1988) and recombinant
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estimated by using Equation (6.24)
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[a lmmobilked System O Free System
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oxidation pathway. W~th increasing
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O 50 100 150 200 250 300 Tirne (hrs
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epeated batch fermentations, the fe
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Glucoamylase Concentration (unitslL
Page 215 and 216: 6) Suitable for repeated-batch and
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Page 219 and 220: cells. Tests of the proposed model
Page 221 and 222: 7.2. Recommendations The foUowing f
Page 223 and 224: APPENDIX A: PLASMID MAP FOR pGAC9 l
Page 225 and 226: where Bi (Biot number) = - ks De @
Page 227 and 228: APPENDK C. EFFECTS OF INITIAL GLUCO
Page 229 and 230: Figure C.2. Effect of Initial Gluco
Page 231 and 232: Figure C.4 Effect of Initial Glucos
Page 233 and 234: APPENDLX D. COMPARISON OF ORIGINAL
Page 235 and 236: (continue)
Page 237: (continue)
Page 242 and 243: E.2. Batch Fermentation with Recomb
Page 246 and 247: (continue) tfhJ 0.5 10.5 12.75 12.5
Page 250 and 251: E.3.2. Experimental Data (Parker an
Page 252 and 253: Run No: CALE (Selected Strain. D =
Page 254 and 255: Run No: CALR 5 (Original Suain, D =
Page 256 and 257: Run No: CSTR3 (Selected Suain, D =
Page 260 and 261: Run No: CICR2 (Selected Suain, D =
Page 262 and 263: Run No: CiCR4 (Selected Suain, D =
Page 264 and 265: Eh. Repeated Batch Culture in hmobi
Page 268 and 269: * the initial data */ /* gening the
Page 270 and 271: * getting the founh term in R-K met
Page 272 and 273: I*Plasrnid-bearing ceU concentratio
Page 274 and 275: * Func tion C 1 */ îloat C l(float
Page 276 and 277: APPEMIM G. EXAMPLES OF MAPLE V CODE
Page 278 and 279: REFERENCES Ataai. MM. and Shuler. M
Page 280 and 281: Caunt, P.. hpoolsup, A.. and Greenf
Page 282 and 283: cuitanes of E. coli BZ18@TG 201) wi
Page 284 and 285: Gabrieisen. O.S. et aL (1990), Effi
Page 286 and 287: Huang, C-T., Peretti, S.W., and Bry
Page 288 and 289: Kim, B.G. and Shuler, M.L. (1990a),
Page 290 and 291: Lee, S.B.. Ryu, D.D.Y., seigel, R,
Page 292 and 293: Nasri, M., Sayadi. S.. Barbotin, J.
Page 294 and 295: Pin, S.J. and Kmwski. W.M. (1970),
Page 296 and 297: Seo, I-H. and Bailey. J.E. (1985).
Page 298 and 299: Tumer. B.G., Avgerinos G-C.? Melnic
Page 300: Yu, J. and Tang, X (Editor, 1991),
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