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Substrate inhibition kinetics for microbial growth and synthesis of poly-β-hydroxybutyric acid by Alcaligenes eutrophus ATCC 17697

Summary

The specific growth rate of Alcaligenes eutrophus ATCC 17697 was observed to depend upon the ratio of ammonium sulfate (nitrogen) and fructose (carbon) concentration used for production of poly-β-hydroxybutyric acid (PHB). The growth rate was stimulated at low concentration ratios and inhibited at higher ratios. A mathematical expression was then proposed to fit the substrate inhibition kinetics:

$$\mu = \mu _m \frac{S}{{K_s + S}}\left[ {1 - \left( {\frac{S}{{S_m }}} \right)^n } \right]$$

Together with the Luedeking-Piret product formation equation, the proposed model describes the experimental data as well as literature data, for substrate consumption, growth of A. eutrophus, and poly-β-hydroxybutyric acid formation.

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Abbreviations

a :

constant in Eq. (14) (h-1)

k 1 :

kinetic parameter in Eq. (7) (gprod/gcell)

k 2 :

kinetic parameter in Eq. (7) (gprod/gcell·h)

k 3 :

kinetic parameter in Eq. (8) (gsub/gcell)

k 4 :

kinetic parameter in Eq. (11) (gsub/gcell)

k 5 :

kinetic parameter in Eq. (11) (gsub/gcell·h)

k 6 :

kinetic parameter in Eq. (9) (gsub/gcell·h)

k 7 :

kinetic parameter in Eq. (9) (gsub/gcell)

k 8 :

kinetic parameter in Eq. (9) (gsub/gprod)

K s :

saturation constant in Eqs. (3)–(6)

K *s :

saturation constant (Table 2) (g/l)

K si :

inhibition constant in Eq. (3)

m :

exponent in Eq. (4)

n :

exponent in Eqs. (5) and (6)

p :

constant in Eq. (14) (gprod/gcell·h)

P :

PHB concentration (g/l)

S :

ratio of (NH4)2SO4 to fructose concentration

S f :

concentration of fructose (g/l)

S m :

ratio of (NH4)2SO4 to fructose concentration at which specific growth rate to zero

S *m :

maximum (NH4)2SO4 concentration at which specific growth rate is zero (Table 2) (g/l)

X :

total biomass concentration (g/l)

X R :

residual biomass concentration (g/l)

X m :

maximum biomass concentration attained in the stationary phase (g/l)

μ:

specific growth rate (h-1)

μm :

maximum specific growth rate (h-1)

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Mulchandani, A., Luong, J.H.T. & Groom, C. Substrate inhibition kinetics for microbial growth and synthesis of poly-β-hydroxybutyric acid by Alcaligenes eutrophus ATCC 17697. Appl Microbiol Biotechnol 30, 11–17 (1989). https://doi.org/10.1007/BF00255990

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  • DOI: https://doi.org/10.1007/BF00255990

Keywords

  • Nitrogen
  • Sulfate
  • Experimental Data
  • Ammonium
  • Growth Rate