Summary
Rhodopseudomonas spheroides S was cultured anaerobically and batchwise in light. The light-absorption rate of the cells was assessed by solving numerically an integro-differential equation (Boltzmann's equation) using end Monte Carlo method.
For light-limited growth, the specific growth rate of the cells was correlated linearly with the specific light-absorption rate.
The Lambert-Beer law could not be used to assess correctly the light absorption by the bacterial cells in the culture medium, because the scattering of light by the cells could not be neglected. The correlation between the light-absorption rate and the cell concentration in the medium is discussed in relation to the scale-up of bio-photoreactors.
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Abbreviations
- a:
-
Empirical constant, kcal/g cell
- b:
-
Empirical constant, kcal/g cell·h
- C:
-
Acetate concentration, mM
- dEpd:
-
Semi-integral attenuance
- Ia :
-
Light energy absorbed, kcal/h
- IO :
-
Incident light energy, kcal/h
- Ir :
-
Reflected light energy, kcal/h
- It :
-
Transmitted light energy, kcal/h
- I :
-
Local light intensity, kcal/cm2·h
- K:
-
Saturation constant, mM
- l:
-
Length of light path and/or that of cuvette, cm
- L:
-
Length of light path of culture vessel, cm
- pλ(u', u):
-
Phase function for u'→u
- R:
-
Reflectance, Ir/IO
- R':
-
Reflectance when no absorption occurs
- s, S:
-
Surface area, cm2
- T:
-
Transmittance, It/IO
- T':
-
Transmittance when no absorption occurs
- u:
-
Unit vector
- v, V:
-
Volume, ml
- X:
-
Cell concentration, mg/ml
- δ:
-
[∑a(λ)(∑a(λ)+∑s(λ))]1/2
- γ:
-
∑a(λ)+(1/2)∑s
- λ:
-
Wavelength, nm
- μ:
-
Specific growth rate, h−1
- ξ:
-
Specific light-absorption rate, kcal/g cell·h
- Σ(λ):
-
Sectional area per unit volume as function of λ, cm−1
- Σ'(λ):
-
Sectional area per unit volume in the absence of light scattering and as function of λ, cm−1 [Eq. (10)]
- σ:
-
Sectional area per unit cell, cm2/mg cell
- χ:
-
Position vector
- ω:
-
Solid angle, steradian
- a:
-
Absorption
- s:
-
Scattering
- O:
-
Incident light or culture vessel used
- O:
-
Incident condition
- *:
-
Dimensionless
- ':
-
With respect to u', unless otherwise noted
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Koizumi, Ji., Aiba, S. Significance of the estimation light-absorption rate in the analysis of growth of. European J. Appl. Microbiol. Biotechnol. 10, 113–123 (1980). https://doi.org/10.1007/BF00504734
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DOI: https://doi.org/10.1007/BF00504734