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:
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)
References
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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