|PenSim:||A Web Based Program for Dynamic Simulation of Fed-Batch Penicillin Production|
where m is the specific growth rate and contains the effects of environmental variables (pH and Temperature) as well as carbon source (glucose) and oxygen in its kinetic expression.
where mpp is the specific penicillin production rate containing biomass, carbon source (glucose) and oxygen concentrations in its kinetic expression. Here, the hydrolysis of penicillin is also considered and expressed as a first order rate expression with a rate constant K.
Here, Kla is taken to be a function of agitator power input and flow rate of oxygen as suggested by Bailey and Ollis (1986).
|Carbon Dioxide Production:
The rate expression for CO2 has been taken from the earlier work of Montague et al. (1986).
|Feed substrate concentration: sf (g/L)||600|
|Feed flow rate of substrate: F (L/h)|
|Feed temperature of substrate: Tf (K)||298|
|Yield constant: Yx/s (g biomass/g glucose)||0.45|
|Yield constant: Yx/o (g biomass/g oxygen)||0.04|
|Yield constant: Yp/s (g penicillin/g glucose)||0.9|
|Yield constant: Yp/o (g penicillin/g oxygen)||0.2|
|Constant: K1 (mole /L)||10-10|
|Constant: K2 (mole /L)||7x10-5|
|Maintenance coefficient on substrate: mx (h-1)||0.01|
|Maintenance coefficient on oxygen: mo (h-1)||0.47|
|Constant relating CO2 to growth: a1 (mmole CO2/ g biomass)||0.14|
|Constant relating CO2 to maintenance energy: a2 (mmole CO2/ g biomass h)||4x10-7|
|Constant relating CO2 to penicillin production: a3 (mmole CO2/ L h)||10-4|
|Maximum specific growth rate: mx (h-1)||0.09|
|Contois saturation constant: Kx (g/L)||0.15|
|Oxygen limitation constant: Kox, Kop (no limitation)||0|
|Oxygen limitation constant: Kox, Kop (with limitation)||2x10-2, 5x10-4|
|Specific rate of penicillin production: mp (h-1)||0.01|
|Inhibition constant: Kp (g/L)||0|
|Inhibition constant for product formation: KI (g/L)||0.1|
|Penicillin hydrolysis rate constant: K (h-1)||0.04|
|Arrhenius constant for growth: kg||7x103|
|Activation energy for growth: Eg (cal/mole)||5100|
|Arrhenius constant for cell death: kd||1033|
|Activation energy for cell death: Ed (cal/mole)||50000|
|Density x heat capacity of medium: r Cp (1/LoC)||1/1500|
|Density x heat capacity of cooling liquid: rc Cpc (1/LoC)||1/2000|
|Yield of heat generation: rq1 (cal/g biomass)||60|
|Constant in heat generation: rq2 (cal/g biomass.h)||1.6783x10-4|
|Heat transfer coefficient of cooling/heating liquid: a (cal/hoC)||1000|
|Cooling water flow rate: Fc (L/h)||
|Constants in Kla: a, b||70, 0.4|
|Constant in Floss: l (h-1)||2.5x10-4|
|Atkinson B. and Mavituna F. Biochemical Engineering and Biotechnology
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