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Chemical Reaction Engineering (CRE) is the field that studies the rates and mechanisms of chemical reactions and the design of the reactors in which they take place. Lecture 16

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Today’s lecture Enzyme Kinetics Noncompetitive Inhibition Bioreactors Monod Equation Yield Coefficients Washout 2

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Last lecture A given enzyme can only catalyze only one reaction. Urea is decomposed by the enzyme urease, as shown below. Michaelis Menten Equation The corresponding mechanism is: 3

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Lecture 16 - Bioreactors Nutrient ++ Products Nutrient ++ Products cells more cells 4

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Bioreactors 5

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inoculum t=0 time 8 Cells + Substrate More Cells + Product

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Bioreactors 9 Exponential Growth Phase Death Phase Stationar y Phase Lag Phase 0 time lnC c a)Phases of Bacteria growth: I. Lag II. Exponential III. StationaryIV. Death b) Monod growth rate law:

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10 Mass Balances: Accumulation = In - Out + Growth - Death Bioreactors

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Rate Laws: C p *= Product Concentration at which all metabolism ceases 11 Bioreactors

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Stoichiometry: A.) Yield Coefficients B.) Maintenance 12 Bioreactors

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v 0 C S0 V=V 0 vCCCSvCCCSC Volume=V 13 1) Mass balance:

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Bioreactors 14

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2) Rates: 3) Parameters: 15 Bioreactors

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Polymath Setup 1.) d(C C )/d(t)=-D*C C +(r g -r d ) 2.) d(C S )/d(t)=-D*(C S0 -C S )-Y sg *r g -m*C C 3.) d(C P )/d(t)=-D*C P +Y PC *r g 4.) rg=(((1-(C P /C pstar ))**0.52)*mumax*(C S /(K S +C S ))*C C 5.) D=0.2 6.) k d =0.01 7.) r d =k d *C C 8.) C S0 =250 9.) Y PC =5.6 10.) m=0.3 11.) mumax=0.33 12.) Y SC =12.5 13.) K S =1.7 16

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Bioreactors – Chemostats - CSTRs 1. Steady State - Neglect Death Rate and Cell Maintenance 2. Cell 17

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Bioreactors – Chemostats - CSTRs 3. Substrate 18

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Bioreactors CSTR Washout C DWDW DC 19 Washout dilution rate

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How does this figure relate to drinking a lot of fluids when you have an infection or cold? DC C DWDW D D maxprod 20 Maximum Product Flow Rate

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End of Lecture 16 21

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Figure Essential Cell Biology (© Garland Science 2010)

Figure Essential Cell Biology (© Garland Science 2010)

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