Engineering > QUESTIONS & ANSWERS > BIOE 349 Metabolic engineering - Lehigh University _ Metabolic Engineering: Homework 7 Solutions – (All)

BIOE 349 Metabolic engineering - Lehigh University _ Metabolic Engineering: Homework 7 Solutions – 9 points

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Metabolic Engineering: Homework 7 Solutions – 9 points 1. (2pts) Short answer (a) (0.5pt) A reaction has GR > 0. Is energy consumed or produced? Express GR in terms of Gcat. When GR > 0, energy is consumed. GR = - GCAT (b) (0.5pt) In class, we discussed that the theoretical value of the P/O ratio typically greater than the actual (or operational) value due since there are other physiological mechanisms, besides ATP generation via oxidative phosphorylation, that utilize proton gradients. Provide an example of one such mechanism. (c) (1) In "Stoichiometric balance based macrokinetic model for Penicillium chrysogenum in fed-batch fermentation" Yuan, et. al. simplify the penicillin pathway into a lumped model. 1 Name three examples in this pathway of reactions that are lumped together. 2 The specific rate of product formation (qp) is described by the Luedeking-Peret model, qp = . Is this a catabolic or an anabolic model for product formation? How do you know? (Compare this to the qp models presented in Ch 9 of Smolke.) 3 Why did the authors include the regulator model to describe product formation? . 4 Was the biomass in the system assumed to be homogeneous, or not? Explain. Does this mean that the system is structured or unstructured? 2. (3 points) Stoichiometric models: Anaerobic biosynthesis & catabolism in yeast The biosynthetic and catabolic reactions in yeast can be expressed using the five reactions below: Reaction Description Rate 1 CH1.8O 0.58N0.16 + 0.105CO2 + 0.355NADH - 1.105CH2O - 0.16NH3 - YXATPATP - 0.231 NADPH = 0 cell growth  2 CO2 + 2NADPH – CH2O = 0 pentose phosphate PP 3 0.5CO2 + CH3O0.5 + 0.5ATP – 1.5CH2O = 0 ethanol production ret 4 CH8/3O - 0.333NADH - 0.333ATP - CH2O = 0 glycerol production rgly 5 -ATP = 0 ATP consumption for maintenance mATP Notes: glucose = CH2O; ethanol = CH3O0.5; glycerol= CH8/3O. The rate vector v for the system above can be expressed as: (a) (0.25) Is this a detailed stoichiometric model or a grouped (aka "lumped") stoichiometric model? What is the basis for your conclusion? (b) (0.25) Express the 5 reactions in matrix notation, i.e. AS + BP + Xmacro + GXmet = 0 Neglect ammonia and assume that your only substrate is glucose. Products: carbon dioxide, ethanol, glycerol Intracellular products: ATP, NADH, NADPH (c) (0.5)Express the rates in matrix notation. i.e. rS=-ATv, rP=BTv, rmacro=Tv, rmet=GTv. (d) (0.5)What rates are approximately equal to zero, based upon the pseudo-steady-state approximation? Using this assumption, express rgly and PP in terms of  and express ret in terms of , YXATP, and mATP.

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