Abstract
Using experimental data from continuous cultures of Clostridium acetobutylicum with and without biomass recycle, relationships between product formation, growth and energetic parameters were explored, developed and tested. For glucose-limited cultures the maintenance models for, the Y ATP and biomass yield on glucose, \((Y_{X/G} ),1/Y_{{\text{ATP}}} = 1/Y_{{\text{ATP}}}^{\max } + m_e /\mu \) and \(1/Y_{X/G} = 1/Y_{X/G}^{\max } + m_G /\mu \) were found valid, as well as the following relationships between the butanol (Y B/G) or butyrate (Y BE/G) yields and the ATP ratio (R ATP, an energetic parameter), Y B/G =0.82-1.35 R ATP, Y BE/G =0.54 + 1.90 R ATP. For non-glucose-limited cultures the following correlations were developed, Y B/G =0.57-1.07 μ, Y B/G =0.82-1.35 R ATPATP and similar equations for the ethanol yield. All these expressions are valid with and without biomass recycle, and independently of glucose feed or residual concentrations, biomass and product concentrations. The practical significance of these expressions is also discussed.
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Abbreviations
- D h−1 :
-
dilution rate
- m e mol g−1 h−1 :
-
maintenance energy coefficient
- m G mol g−1 h−1 :
-
maintenance energy coefficient
- R :
-
biomass recycle ratio, (dimensionless)
- R ATP :
-
ATP ratio (eqs.(5), (10) and (11)), (dimensionless)
- X kg/m3 :
-
biomass concentration
- Y ATP g biomass per mol ATP:
-
biomass yield on ATP
- Y maxATP g biomass per mol ATP:
-
maximum Y ATP
- Y A/G mol acetate produced per mol glucose consumed:
-
molar yield of acetate
- y an/g mol acetone produced per mol glucose consumed:
-
molar yield of acetone
- Y B/G mol butanol produced per mol glucose consumed:
-
molar yield of butanol
- y be/g mol butyrate produced per mol glucose consumed:
-
molar yield of butyrate
- Y E/G mol ethanol produced per mol glucose consumed:
-
molar yield of ethanol
- Y X/G g biomass per mol glucose consumed:
-
biomass yield on glucose
- Y maxATP g biomass per mol:
-
maximum Y X/G glucose consumed
- μ h−1 :
-
specific growth rate
References
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Houston, C.L.M., Papoutsakis, E.T. Continuous and biomass recycle fermentations of Clostridium acetobutylicum. Bioprocess Engineering 4, 49–55 (1989). https://doi.org/10.1007/BF00373731
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DOI: https://doi.org/10.1007/BF00373731