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Energy consuming and energy producing products Technology for Biobased Products Sef Heijnen, Department of Biotechnology, Faculty of Applied Sciences Pseudo steady state flux coupling Substrate limitation q s (c s ) (constant T, pH,


  1. Energy consuming and energy producing products Technology for Biobased Products Sef Heijnen, Department of Biotechnology, Faculty of Applied Sciences

  2. Pseudo steady state flux coupling Substrate limitation à q s (c s ) (constant T, pH, pressure) q p (c s ) μ(c s ) Black q s (c s ) box q CO2 (c s ) q i (c s ) Product consumes energy = aerobic Product produces energy = anaerobic

  3. Substrate uptake Energy consuming and energy producing product c Hyperbolic function of q s = q q ,max * s s s + K c s s q s Parameters q s,max and K s • Assumed to be constant c s • Need to be determined • Depends on organism, substrate, T and pH

  4. Substrate for maintenance energy Degradation Repair energy Leakage m s Energy consuming product Energy producing product Aerobic Anaerobic m s = 0.005 (mol glucose/h)/mol x m s = 0.05 (mol glucose/h)/mol x

  5. Black box model energy consuming product μ(c s ) Branchpoint mol s |a| mol x mol s |b| mol p q s (c s ) q p (c s ) |m s | growth product maintenance q s = a*μ + b*q p + m s Herbert-Pirt substrate distribution relation Kinetic coupling of q p and μ q p (μ) = non-linear

  6. Aerobic black box PDO model Glucose uptake rate -q s = 0.20 c s / (0.5 + c s ) product maintenance growth Herbert-Pirt substrate distribution -q s = 0.25 μ + 0.8 q p + 0.005 Non-linear q p (μ) relation q p = 0.05 μ /(0.03 + μ) 3 equations = 1 free variable which can be μ or c s 4 variables

  7. Economics aerobic PDO production q s 0.25 μ + 0.8 q p + 0.005 = = mol glucose q p 0.05 μ /(0.03 + μ) mol PDO 0.25 μ + 0.8 + 0.005 . |q s /q p |= 0.05 μ /(0.03 + μ) 0.05 μ /(0.03 + μ) |q s /q p |= mol glucose = 1.05 + 5μ + 0.003/μ mol PDO

  8. Economics aerobic PDO production 4.5 mol glucose 4 mol x / h μ opt = 0.0245 mol PDO mol x in fermenter 3.5 mol PDO / h q p,opt = 0.0227 3 mol x in fermenter 2.5 mol glucose / h q s,opt = 0.0294 mol x in fermenter 2 1.5 1 0.80 Herbert-Pirt 0.5 0 mol glucose 0.0294 0 0.1 0.2 0.3 =|q s /q p |= =1.29 μ (h -1 ) mol PDO 0.0227 |q s /q p |= mol glucose = 1.05 + 5μ + 0.003/μ mol PDO

  9. Economics aerobic PDO production -q s,opt = 0.25 μ ,opt + 0.8 q p,opt + 0.005 μ opt = 0.0245 -q s,opt = 0.25*0.0245 + 0.8*0.0227 + 0.005 q p,opt = 0.0227 q s,opt = 0.0294 -q s,opt = 0.0062 + 0.0182 + 0.005 growth = 21% product = 62% maintenance = 17%

  10. Anaerobic BB model energy producing product μ(c s ) |a| q s (c s ) energy ethanol |m s | q p (c s ) growth maintenance q s = a*μ + m s Herbert-Pirt substrate distribution relation Stoichiometric (energy) coupling of q p and μ q p = a p *μ + m p = linear

  11. Summary black box model Energy consuming product Energy producing product Aerobic Anaerobic c c = = q q ,max * q q ,max * s s s s + s s + K c K c s s s s q s = a*μ + b* q p + m s q s = a*μ + m s q p (μ) is non linear q p = a p *μ + m p which is linear Kinetic coupling q p and μ Stoichiometric (energy) coupling q p and μ

  12. See you in the next unit!

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