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A structured model for microbial growth and product formation

  • Biotechnology and Bioengineering
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Summary

A structured model is proposed for the mathematical description of batch culture kinetic data. The model takes into account the substrate consumption, the product formation during growth phase, and the microbial growth. The model considers the growth kinetics and product formation in relation to an intracellular reactant. The model is fitted to batch culture data forBacillus licheniformis grown on glucose or maltose as carbon source, producing acetic acid in the growth phase. Simulation results are obtained using the IBM S/360 Continuous System Modeling Program.

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Abbreviations

A:

concentration of intracellular reactant

Ao :

initial value of A

dcw:

dried cell weight

f1, f2, f3 :

stoichiometric coefficients

glc:

glucose

HAc:

acetic acid

KA, KA 2, Kp, Ks :

saturation constants

k1, k2, k3, k4 :

rate constants

kd :

death constant

mal:

maltose

n:

number of experimental data points

P:

concentration of acetic acid

PO :

initial value of P

Pi :

intracellular concentration of acetic acid

Ppr,i :

predicted value of P

Pex,i :

measured value of P

S:

concentration of the limiting substrate component

SO :

initial value of S

Si :

intracellular concentration of the limiting substrate component

Smin :

minimal value of S

Spr,i :

predicted value of S

Sex,i :

measured value of S

T:

object function

w1, w2, w3 :

weighting factors

X:

cell concentration

XO :

initial value of X

Xmax :

maximal value of X

Xpr,i :

predicted value of X

Xex,i :

measured value of X

Y1, Y2, YATP, Yx/s, Yp/s :

yield constants

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Authors and Affiliations

  1. Department of Applied Biochemistry, Technical University of Denmark, Block 223, DK-2800, Lyngby

    R. Larsen & L. Kjaergaard

Authors
  1. R. Larsen
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  2. L. Kjaergaard
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Larsen, R., Kjaergaard, L. A structured model for microbial growth and product formation. European J. Appl. Microbiol. Biotechnol. 5, 177–188 (1978). https://doi.org/10.1007/BF00579337

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  • DOI: https://doi.org/10.1007/BF00579337

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