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Multipulse feed strategy for glycerol fed-batch fermentation

A steady-state nonlinear optimization approach

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Abstract

During glycerol fed-batch fermentation, the process could be divided into multiple equal subintervals, and the feed operation was performed in pulse form at the start of each subinterval. Based on the macrokinetic models, the multipulse feed strategy for both glucose and corn steep slurry was determined by a general nonlinear optimization approach to maximize the final glycerol productivity and still control the residual glucose at a low concentration. The experimental results in a 600-mL Airlift Loop Reactor showed that the tested data with this strategy agreed well with the corresponding model prediction, and that the feed mode with nonlinear optimization could improve the glycerol productivity significantly compared with those determined just by limited experimental optimization in previous studies.

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Abbreviations

fpun :

punishment function

K do1 :

constant of dissolved oxygen for cell growth (108 cells/mL)

K do2 :

constant of dissolved oxygen for glycerol accumulation (108 cells/mL)

K IS :

constant for inhibition of glucose in cell growth (10−4 [g/mL]·[g/mL])

K O :

ratio of oxygen promotion to cell growth (nondimensional)

K Ph1 :

saturation constant for phosphorus for cell growth (µg/mL)

K Ph2 :

saturation constant for phosphorus for glucose consumption (µg/mL)

K Ph3 :

saturation constant for phosphorus for glycerol production (µg/mL)

K S1 :

Contois constant for glucose for cell growth (10−10 g/mL)

K S2 :

saturation constant for glucose for phosphorus consumption (10−4 [g/mL]·[g/mL])

K SP :

coefficient of glycerol as a carbon source compared with glucose (nondimensional)

K t :

attenuation constant for culture time for cell growth (h)

m t :

total maintenance coefficient of glycerol and glucose (h−1)

N :

total number of the subintervals during multipulse fed-batch fermentation

P :

mass concentration of glycerol (%, w/v)

Ph :

concentration of phosphorus (µg/mL)

Ph FPh :

phosphorous concentration in feed tank of corn steep slurry (µg/mL)

Ph FS :

phosphorous concentration in glucose feed tank (µg/mL)

Pun S :

punishment coefficient for constraint on glucose process concentration (nondimensional)

Pun Sf :

punishment coefficient for constraint on final glucose concentration (nondimensional)

Pun VFS :

punishment coefficient for constraint on total feed amount of glucose (nondimensional)

S :

mass concentration of glucose (%, w/v)

S 0 :

initial mass concentration of glucose (%, w/v)

S FS :

glucose concentration in glucose feed tank (%, w/v)

t :

culture time (h)

V :

culture volume (mL)

V FS :

feed amount of glucose (mL)

V FPh :

feed amount of corn steep slurry (mL)

X :

cell concentration (108 cells/mL)

Y P/S :

yield coefficient of glycerol production for glucose consumption (nondimensional)

Y X/Ph :

yield coefficient of cell production for phosphorous consumption (108 cells/µg)

Y X/S :

yield coefficient of cell production for glucose consumption (1010 cells/g)

α:

constant associated with cell growth (10−10 g/cell)

β:

modified constant associated with cell concentration (10−8 mL/cell/h)

μ:

specific growth rate (h−1)

0:

initial state of fed-batch fermentation

end :

final state of glucose concentration

f :

final state of fed-batch fermentation

i :

sequence number of subintervals (1≤iN)

max:

maximum value or upper limit

up :

upper limit

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Correspondence to Dehua Liu.

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Xie, D., Liu, D., Zhu, H. et al. Multipulse feed strategy for glycerol fed-batch fermentation. Appl Biochem Biotechnol 95, 103–112 (2001). https://doi.org/10.1385/ABAB:95:2:103

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  • DOI: https://doi.org/10.1385/ABAB:95:2:103

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