Preface |
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xi | |
General Notations |
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xv | |
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1 | (2) |
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3 | (10) |
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4 | (1) |
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2.2 Metabolic Reaction Rate |
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5 | (1) |
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2.3 The Cybernetic Variables |
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6 | (7) |
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2.3.1 The Control of Enzyme Synthesis |
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6 | (3) |
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2.3.2 The Control of Enzyme Activity |
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9 | (4) |
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3 Early Development of Cybernetic Models |
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13 | (51) |
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3.1 Modeling of Diauxic Growth |
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13 | (5) |
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3.2 Growth and Maintenance in Low Substrate Environments |
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18 | (9) |
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3.3 A Model for the Production of a Bacterial Metabolite |
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27 | (9) |
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3.4 More on Growth on Mixed Carbon Substrates: Simultaneous Utilization |
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36 | (6) |
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3.4.1 Cybernetic Models of Mixed Substrate Growth: Sequential and Simultaneous Utilization of Substrates |
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37 | (5) |
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3.5 Toward Metabolic Networks |
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42 | (21) |
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3.5.1 Elementary Pathways |
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42 | (4) |
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3.5.2 Growth on Complementary Nutrients: Interactive and Noninteractive Substrates |
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46 | (4) |
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3.5.3 Modeling of Bacterial Growth under Multiple Nutrient Limitations |
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50 | (13) |
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63 | (1) |
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4 Revisiting Cybernetic Laws via Optimal Control Theory |
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64 | (22) |
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4.1 System Variables and the Optimal Control Problem |
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64 | (2) |
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66 | (3) |
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69 | (2) |
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4.4 Tandem Treatment of Matching and Proportional Laws |
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71 | (1) |
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4.5 Retrospection of Past Cybernetic Models |
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72 | (2) |
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4.6 Computational Assessment of Different Cybernetic Control Laws |
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74 | (11) |
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4.6.1 Comparison of Different Cybernetic Models |
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76 | (6) |
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4.6.2 Analysis of an Evolutionary Scenario |
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82 | (3) |
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85 | (1) |
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5 Toward Modeling of Metabolic Networks |
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86 | (19) |
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5.1 Cybernetic Modeling of Metabolic Networks |
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88 | (15) |
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88 | (4) |
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5.1.2 Modeling of a Simple Linear Pathway |
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92 | (3) |
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5.1.3 Modeling of Anaerobic Metabolism of Escherichia coli |
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95 | (8) |
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103 | (2) |
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6 The Hybrid Cybernetic Model (HCM) |
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105 | (45) |
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6.1 Modeling of Regulation |
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106 | (4) |
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6.2 Anaerobic Growth of E. coli |
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110 | (14) |
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6.2.1 HCM Simulations for Glucose Limited Growth |
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111 | (7) |
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6.2.2 HCM Simulations for Growth on Glucose-Pyruvate Mixtures |
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118 | (6) |
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6.3 A Mode Reduction Technique for Lower Order HCM |
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124 | (7) |
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6.3.1 A General Formulation of Metabolic Yield Analysis |
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126 | (5) |
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6.4 HCM of Yeast Co-Consuming Glucose and Xylose for Ethanol Production |
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131 | (9) |
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6.4.1 Parameter Determination |
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135 | (1) |
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6.4.2 HCM simulations of Co-Consumption of Glucose and Xylose by Recombinant Yeast. Comparison with Other Models |
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136 | (4) |
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6.5 HCM of Carbon Storage Molecule Accumulation: Poly(β-hydroxybutyrate) |
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140 | (4) |
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6.6 HCM for a Mixed Culture of Yeasts for Bioethanol Production |
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144 | (5) |
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149 | (1) |
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7 The Lumped Hybrid Cybernetic Model (L-HCM) |
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150 | (36) |
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151 | (7) |
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7.1.1 Elementary Mode (EM) Families: A Classification of EMs |
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151 | (2) |
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7.1.2 Uptake Flux Distribution to EM Families |
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153 | (1) |
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7.1.3 Modeling of Regulation in L-HCM |
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154 | (3) |
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7.1.4 Nature of Flux Distribution in L-HCM |
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157 | (1) |
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7.2 L-HCM for Aerobic Growth of Saccharomyces cerevisiae: The Crabtree Effect |
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158 | (9) |
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7.2.1 Metabolic Network for S. cerevisiae |
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159 | (1) |
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159 | (2) |
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161 | (1) |
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7.2.4 A Lumped Cybernetic Model (LCM) for the Crabtree Effect |
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162 | (2) |
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7.2.5 Performance of L-HCM on Aerobic Growth of S. cerevisiae |
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164 | (3) |
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167 | (2) |
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7.4 L-HCM of Multiple Strains of E. coli |
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169 | (7) |
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7.4.1 EM Lumping: Anaerobic Growth of E. coli on Glucose |
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170 | (1) |
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7.4.2 L-HCM Equations: Anaerobic Growth of E. coli on Glucose |
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170 | (1) |
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7.4.3 Dynamics of Anaerobic Growth of E. coli on Glucose: L-HCM Predictions |
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171 | (1) |
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7.4.4 Effect of Yield Data on EM Lumping |
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171 | (5) |
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7.4.5 On Other EM Lumpings in the Literature |
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176 | (1) |
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7.5 L-HCM of Aerobic Growth of Shewanella oneidensis |
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176 | (8) |
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7.5.1 Metabolic Network for S. oneidensis |
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178 | (2) |
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7.5.2 L-HCM Equations for S. oneidensis |
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180 | (4) |
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184 | (2) |
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8 Predicting Dynamic Behavior of Mutant Strains with L-HCM |
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186 | (27) |
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186 | (5) |
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8.1.1 L-HCM Approach to Predicting KO Strain Behavior |
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187 | (2) |
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8.1.2 Illustration with a Toy Example |
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189 | (2) |
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8.2 L-HCM Predictions of Single Gene Knockouts of E. coli: Anaerobic Growth |
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191 | (7) |
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8.2.1 Reflections on L-HCM Predictions of Single KO Strains |
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196 | (2) |
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8.3 Toward Genome Scale Modeling |
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198 | (14) |
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8.3.1 Optimization-Based Approaches for EM Computation |
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200 | (1) |
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201 | (1) |
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8.3.3 Typical MILP-Based Approach |
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202 | (1) |
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8.3.4 AILP-Based Algorithm |
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203 | (2) |
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8.3.5 Basic Properties of AILP |
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205 | (3) |
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8.3.6 Computation of EMs from Genome-Scale Networks |
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208 | (1) |
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8.3.7 EM Sampling by AILP |
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209 | (3) |
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212 | (1) |
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212 | (1) |
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9 Nonlinear Analysis of Cybernetic Models |
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213 | (22) |
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213 | (16) |
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9.1.1 Multiple Steady States in a Continuous Bioreactor: The Chemostat |
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215 | (6) |
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9.1.2 HCM Prediction of Steady-State Multiplicity in a Continuous Reactor Fed with Pyruvate-Glucose Mixtures |
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221 | (1) |
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9.1.3 LCM Prediction of Steady-State Multiplicity in Hybridoma Cultures |
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222 | (7) |
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9.2 Oscillatory Behavior with Cybernetic Models |
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229 | (5) |
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9.2.1 Oscillations in Continuous Cultures of Yeast (S. cerevisiae) |
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230 | (1) |
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9.2.2 Oscillations in Bacterial Cultures |
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230 | (4) |
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234 | (1) |
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10 Metabolic Modeling Landscape |
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235 | (17) |
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235 | (1) |
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10.2 Fully Structured Dynamic Models |
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236 | (3) |
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10.2.1 Conventional Approaches. Kinetic Formalisms |
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237 | (1) |
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10.2.2 The Cybernetic Model: Young's Model |
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238 | (1) |
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10.3 Quasi Steady State (QSS) Models |
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239 | (5) |
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10.3.1 Steady-State Network Analysis: FBA and EM Analysis |
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240 | (1) |
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10.3.2 Conventional Approaches: DFBA and MBM |
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241 | (1) |
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10.3.3 The Cybernetic Approach: HCM and L-HCM |
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242 | (2) |
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10.4 Unstructured Dynamic Models |
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244 | (1) |
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10.5 Nexus of Metabolic Models |
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245 | (1) |
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246 | (5) |
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247 | (1) |
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10.6.2 Systematic Model Evaluation Based on Information Theoretic Tools |
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247 | (2) |
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10.6.3 Prediction of Emergent Properties |
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249 | (2) |
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251 | (1) |
References |
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252 | (14) |
Index |
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266 | |