|کد مقاله||کد نشریه||سال انتشار||مقاله انگلیسی||ترجمه فارسی||نسخه تمام متن|
|5426988||1397241||2018||4 صفحه PDF||ندارد||دانلود رایگان|
â¢Fractional calculus is used to estimate light attenuation in photosynthetic cultures.â¢Experimental data of a model cyanobacterium are benchmarked with in silico results.â¢The same hyper-parameter value predicts attenuation in all strains and cell-densities.
Light attenuation within suspensions of photosynthetic microorganisms has been widely described by the LambertâBeer equation. However, at depths where most of the light has been absorbed by the cells, light decay deviates from the exponential behaviour and shows a lower attenuation than the corresponding from the purely exponential fall. This discrepancy can be modelled through the MittagâLeffler function, extending LambertâBeer law via a tuning parameter Î± that takes into account the attenuation process.In this work, we describe a fractional LambertâBeer law to estimate light attenuation within cultures of model organism Synechocystis sp. PCC 6803. Indeed, we benchmark the measured light field inside cultures of two different Synechocystis strains, namely the wild-type and the antenna mutant strain called Olive at five different cell densities, with our in silico results. The MittagâLeffler hyper-parameter Î± that best fits the data is 0.995, close to the exponential case. One of the most striking results to emerge from this work is that unlike prior literature on the subject, this one provides experimental evidence on the validity of fractional calculus for determining the light field.We show that by applying the fractional LambertâBeer law for describing light attenuation, we are able to properly model light decay in photosynthetic microorganisms suspensions.
Journal: Journal of Quantitative Spectroscopy and Radiative Transfer - Volume 204, January 2018, Pages 23-26