1. Stoichiometric models: Anaerobic biosynthesis \& catabolism in yeast The biosynthetic and catabolic reactions in yeast can be expressed using the five reactions below: Notes: glucose =CH2U; etnanol =CH3U0.5; grycerol =CH8/3U. The rate vector v for the system above can be expressed as: v=v1v2v3v4v5=vPPretrglymATP a. Is this a detailed stoichiometric model or a grouped (aka "lumped") stoichiometric model? What is the basis for your conclusion? b. Express the 5 reactions in matrix notation, i.e. AS+BP+Xmacre+GXXmet=0 Neglect ammonia and assume that your only substrate is glucose. Products: carbon dioxide, ethanol, glycerol Intracellular products: ATP, NADH, NADPH c. Express the rates in matrix notation. i.e. rs=Avv,rp=Bmv,rmacro=vv,rmet=Gvv. d. What rates are approximately equal to zero, based upon the pseudo-steady-state approximation? Using this assumption, express rB and vPp in terms of and express ret in terms of ,YXATP, and mATP. 1 e. Using your answer from Part (d), express rS and rCO in terms of ,YXATP, and mATP. Note that this expression takes the form: rS=YXSmax+mS and rCO2=YXCmax+mC f. You run an experiment at different specific growth rates and measure rates of substrate consumption rs, and CO2 production rc. You obtain the following results: Plot rs vs and rs vs .Using the data above and your results from Part (e), estimate the following parameters: YXATP,YXsmax,YXCmax,mS,mCO2 and mATP. 1. Stoichiometric models: Anaerobic biosynthesis \& catabolism in yeast The biosynthetic and catabolic reactions in yeast can be expressed using the five reactions below: Notes: glucose =CH2U; etnanol =CH3U0.5; grycerol =CH8/3U. The rate vector v for the system above can be expressed as: v=v1v2v3v4v5=vPPretrglymATP a. Is this a detailed stoichiometric model or a grouped (aka "lumped") stoichiometric model? What is the basis for your conclusion? b. Express the 5 reactions in matrix notation, i.e. AS+BP+Xmacre+GXXmet=0 Neglect ammonia and assume that your only substrate is glucose. Products: carbon dioxide, ethanol, glycerol Intracellular products: ATP, NADH, NADPH c. Express the rates in matrix notation. i.e. rs=Avv,rp=Bmv,rmacro=vv,rmet=Gvv. d. What rates are approximately equal to zero, based upon the pseudo-steady-state approximation? Using this assumption, express rB and vPp in terms of and express ret in terms of ,YXATP, and mATP. 1 e. Using your answer from Part (d), express rS and rCO in terms of ,YXATP, and mATP. Note that this expression takes the form: rS=YXSmax+mS and rCO2=YXCmax+mC f. You run an experiment at different specific growth rates and measure rates of substrate consumption rs, and CO2 production rc. You obtain the following results: Plot rs vs and rs vs .Using the data above and your results from Part (e), estimate the following parameters: YXATP,YXsmax,YXCmax,mS,mCO2 and mATP