Mean light intensity—a useful concept in correlating growth rates of dense cultures of microalgae

Rabe, Allen E.; Benoit, Richard J.

doi:10.1002/bit.260040404

Cited by 52 publications

(31 citation statements)

References 5 publications

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“…It should be noted that the APFD and APAR models showed the relatively poor prediction, although these models have been popularly used (Aiba, 1982;Iehana, 1983Iehana, , 1990Koizumi and Aiba, 1980;Molina Grima et al, 1994, 1997Prokop and Erickson, 1995;Rabe and Benoit, 1962;Van Liere and Mur, 1979). Previous studies on the APFD or APAR model did not use experimental results obtained over broad ranges of incident light intensity and cell density.…”

Section: Performance Of Modelsmentioning

confidence: 89%

“…Symbols used in this work are summarized in Table I. Rabe and Benoit (1962) suggested that the average photon flux density could be correlated with the specific growth rate. This implies that the average photon flux density could be a representative value of spatially distributed density within the photobioreactor.…”

Section: Model Developmentmentioning

confidence: 99%

“…Recently, microalgal photosynthesis was considered as an effective means to reduce the emission of carbon dioxide, a major greenhouse gas, to the atmosphere (Benemann, 1997;Karube et al, 1992;Yun and Park, 1997a,b;Yun et al, 1996). As the potential of microalgal mass culture increases, kinetic modeling of microalgal photosynthesis and/or growth has become of significant importance because an accurate model is a prerequisite for designing an efficient photobioreactor, predicting process performance, and optimizing operating conditions (Aiba, 1982;Ever, 1991;Rabe and Benoit, 1962). In addition, the mechanistic modeling approach can be useful for confirming or rejecting the hypotheses on mechanisms underlying the models.…”

Section: Introductionmentioning

confidence: 99%

“…The underlying hypotheses of models can be classified into three types based upon the expression of the light dependence of microalgal photosynthesis. In the first type, algal photosynthesis is assumed to be dependent on the average photon flux density (APFD) that can be obtained by volume-averaging the spatially distributed photon flux density inside the photobioreactor (Molina Grima et al, 1994, 1997Prokop and Erickson, 1995;Rabe and Benoit, 1962). The second type of model (Aiba, 1982;Iehana, 1983Iehana, , 1990Koizumi and Aiba, 1980;Van Liere and Mur, 1979) uses the volume-averaged photon absorption rate (average photon absorption rate, APAR).…”

Section: Introductionmentioning

confidence: 99%

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Kinetic modeling of the light‐dependent photosynthetic activity of the green microalga Chlorella vulgaris

Yun¹,

Park²

2003

Biotech & Bioengineering

106

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Light-dependent photosynthesis of Chlorella vulgaris was investigated by using a novel photosynthesis measurement system that could cover wide ranges of incident light and cell density and reproduce accurate readings. Various photosynthesis models, which have been reported elsewhere, were classified and/or reformulated based upon the underlying hypotheses of the light dependence of the algal photosynthesis. Four types of models were derived, which contained distinct light-related variables such as the average or local photon flux density (APFD or LPFD) and the average or local photon absorption rate (APAR or LPAR). According to our experimental results, the LPFD and LPAR models could predict the experimental data more accurately although the APFD and APAR models have been widely used for the kinetic study of microalgal photosynthesis.

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Section: Performance Of Modelsmentioning

confidence: 89%

Section: Model Developmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Kinetic modeling of the light‐dependent photosynthetic activity of the green microalga Chlorella vulgaris

Yun¹,

Park²

2003

Biotech & Bioengineering

106

View full text Add to dashboard Cite

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“…However, these values are valid only at low cell concentrations and a narrow light path, and give no information on local light energy distribution inside the culture. Thus, bioengineers have developed mathematical models to obtain the light distribution profile and average light intensity (Cornet et al, 1992;Lee et al, 1987;Molina Grima et al, 1997;Rabe and Benoit, 1962). Since the average light intensity can be identical for completely different conditions, the light distribution profile is required to describe the irradiance conditions more precisely.…”

Section: Introductionmentioning

confidence: 99%

A light distribution model for an internally radiating photobioreactor

Suh¹,

Lee²

2003

Biotech & Bioengineering

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Analysis of light energy distribution in culture is important for maximizing the growth efficiency of photosynthetic cells and the productivity of a photobioreactor. To characterize the irradiance conditions in a photobioreactor, we developed a light distribution model for a single-radiator system and then extended the model to multiple radiators using the concept of parallel translation. Mathematical expressions for the local light intensity and the average light intensity were derived for a cylindrical photobioreactor with multiple internal radiators. The proposed model was used to predict the irradiance levels inside an internally radiating photobioreactor using Synechococcus sp. PCC 6301 as a model photosynthetic microorganism. The effects of cell density and radiator number were interpreted through photographic and model simulation studies. The predicted light intensity values were found to be very close to those obtained experimentally, which suggests that the proposed model is capable of accurately interpreting the local light energy profiles inside the photobioreactor system. Due to the simplicity and flexibility of the proposed model, it was also possible to predict the light conditions in other complex photobioreactors, including optical-fiber and pond-type photobioreactors.

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A model for light distribution and average solar irradiance inside outdoor tubular photobioreactors for the microalgal mass culture

Fernández

Camacho

Pérez

et al. 1997

Biotechnol. Bioeng.

215

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A mathematical model to estimate the solar irradiance profile and average light intensity inside a tubular photobioreactor under outdoor conditions is proposed, requiring only geographic, geometric, and solar position parameters. First, the length of the path into the culture traveled by any direct or disperse ray of light was calculated as the function of three variables: day of year, solar hour, and geographic latitude. Then, the phenomenon of light attenuation by biomass was studied considering Lambert‐Beer's law (only considering absorption) and the monodimensional model of Cornet et al. (1900) (considering absorption and scattering phenomena). Due to the existence of differential wavelength absorption, none of the literature models are useful for explaining light attenuation by the biomass. Therefore, an empirical hyperbolic expression is proposed. The equations to calculate light path length were substituted in the proposed hyperbolic expression, reproducing light intensity data obtained in the center of the loop tubes. The proposed model was also likely to estimate the irradiance accurately at any point inside the culture. Calculation of the local intensity was thus extended to the full culture volume in order to obtain the average irradiance, showing how the higher biomass productivities in a Phaeodactylum tricornutum UTEX 640 outdoor chemostat culture could be maintained by delaying light limitation. © 1997 John Wiley & Sons, Inc. Biotechnol Bioeng 55: 701–714, 1997.

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Mean light intensity—a useful concept in correlating growth rates of dense cultures of microalgae

Cited by 52 publications

References 5 publications

Kinetic modeling of the light‐dependent photosynthetic activity of the green microalga Chlorella vulgaris

Kinetic modeling of the light‐dependent photosynthetic activity of the green microalga Chlorella vulgaris

A light distribution model for an internally radiating photobioreactor

A model for light distribution and average solar irradiance inside outdoor tubular photobioreactors for the microalgal mass culture

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