Can spherical eukaryotic microalgae cells be treated as optically homogeneous?
Abstract
This study aims to answer the question of whether spherical unicellular photoautotrophic eukaryotic microalgae cells, consisting of various intracellular compartments with their respective optical properties, can be modeled as homogeneous spheres with some effective complex index of refraction. The spectral radiation characteristics in the photosynthetically active region of a spherical heterogeneous microalgae cell, representative of Chlamydomonas reinhardtii and consisting of spherical compartments corresponding to the cell wall, cytoplasm, chloroplast, nucleus, and mitochondria, were estimated using the superposition T-matrix method. The effects of the presence of intracellular lipids and/or starch accumulation caused by stresses, such as nitrogen limitation, were explored. Predictions by the T-matrix method were qualitatively and quantitatively consistent with experimental measurements for various microalgae species. The volume-equivalent homogeneous sphere approximation with volume-averaged effective complex index of refraction gave accurate estimates of the spectral (i) absorption and (ii) scattering cross sections of the heterogeneous cells under both nitrogen-replete and nitrogen-limited conditions. In addition, the effect of a strongly refracting cell wall, representative of Chlorella vulgaris, was investigated. In this case, for the purpose of predicting their integral radiation characteristics, the microalgae should be represented as a coated sphere with a coating corresponding to the cell wall and a homogeneous core with volume-averaged complex index of refraction for the rest of the cell. However, both homogeneous sphere and coated sphere approximations predicted strong resonances in the scattering phase function and spectral backscattering cross section that were not observed in that of the heterogeneous cells.
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Modeling frameworks that retrieve optical properties of cells and cell cultures from composition, shape and structure have been proposed.
“Modeling frameworks that retrieve the optical properties of cells and cell cultures from composition, shape and structure have been proposed in references [78,88,187].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [187]
Cites
Optical Constants of Water in the 200-nm to 200-μm Wavelength Region
Hale, G. M., & Querry, M. R. (1973) · Applied Optics · doi:10.1364/ao.12.000555 · Cited by 4,479 · see citing works
Bio‐optical properties of oceanic waters: A reappraisal
Morel, A., & Maritorena, S. (2001) · Journal of Geophysical Research Atmospheres · doi:10.1029/2000jc000319 · Cited by 1,233 · see citing works
Williams, P. J. L. B., & Laurens, L. M. L. (2010) · Energy & Environmental Science · doi:10.1039/b924978h · Cited by 1,223 · see citing works
Calculation of the T matrix and the scattering matrix for ensembles of spheres
Mackowski, D. W., & Mishchenko, M. I. (1996) · Journal of the Optical Society of America A · doi:10.1364/josaa.13.002266 · Cited by 774 · see citing works
Wang, Z. T., Ullrich, N., Joo, S., Waffenschmidt, S., & Goodenough, U. W. (2009) · Eukaryotic Cell · doi:10.1128/ec.00272-09 · Cited by 542 · see citing works
Enzymatic cell wall degradation of Chlorella vulgaris and other microalgae for biofuels production
Gerken, H. G., Donohoe, B. S., & Knoshaug, E. P. (2012) · Planta · doi:10.1007/s00425-012-1765-0 · Cited by 454 · see citing works
In-vivo absorption properties of algal pigments
Bidigare, R. R., Ondrusek, M. E., Morrow, J. H., & Kiefer, D. A. (1990) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.21451 · Cited by 427 · see citing works
Atkinson, A., Gunning, B. E. S., & John, P. C. L. (1972) · Planta · doi:10.1007/bf00398011 · Cited by 380 · see citing works
Light scattering from cells: finite-difference time-domain simulations and goniometric measurements
Drezek, R. A., Dunn, A. K., & Richards‐Kortum, R. (1999) · Applied Optics · doi:10.1364/ao.38.003651 · Cited by 313 · see citing works
Remote sensing of phytoplankton pigments: A comparison of empirical and theoretical approaches
Sathyendranath, S., Cota, G. F., Stuart, V., Maass, H., & Platt, T. (2001) · International Journal of Remote Sensing · doi:10.1080/014311601449925 · Cited by 308 · see citing works
Light attenuation and scattering by phytoplanktonic cells: a theoretical modeling
Bricaud, A., & Morel, A. (1986) · Applied Optics · doi:10.1364/ao.25.000571 · Cited by 274 · see citing works
Goodson, C. M., Roth, R. A., Wang, Z. T., & Goodenough, U. W. (2011) · Eukaryotic Cell · doi:10.1128/ec.05242-11 · Cited by 252 · see citing works
Pottier, L., Pruvost, J., Deremetz, J., Cornet, J. ‐., Legrand, J., & Dussap, C. G. (2005) · Biotechnology and Bioengineering · doi:10.1002/bit.20475 · Cited by 239 · see citing works
Physiological role of neutral lipid accumulation in eukaryotic microalgae under stresses
Solovchenko, A. E. (2012) · Russian Journal of Plant Physiology · doi:10.1134/s1021443712020161 · Cited by 236 · see citing works
Bricaud, A., Bédhomme, A.-L., & Morel, A. (1988) · Journal of Plankton Research · doi:10.1093/plankt/10.5.851 · Cited by 227 · see citing works
Cornet, J., Dussap, C., Gros, J.-B., Binois, C., & Lasseur, C. (1995) · Chemical Engineering Science · doi:10.1016/0009-2509(95)00022-w · Cited by 202 · see citing works
Vaillancourt, R. D. (2004) · Journal of Plankton Research · doi:10.1093/plankt/fbh012 · Cited by 195 · see citing works
Laboratory measurements of angular distributions of light scattered by phytoplankton and silt
Volten, H., de Haan, J. F., Hovenier, J. W., Schreurs, R., Vassen, W., Dekker, A. G., Hoogenboom, H. J., Charlton, F., & Wouts, R. (1998) · Limnology and Oceanography · doi:10.4319/lo.1998.43.6.1180 · Cited by 190 · see citing works
Mackowski, D. W. (2013) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2013.08.012 · Cited by 127 · see citing works
Takache, H., Pruvost, J., & Cornet, J. (2012) · Biotechnology Progress · doi:10.1002/btpr.1545 · Cited by 112 · see citing works
BERBEROGLU, H., PILON, L., & MELIS, A. (2008) · International Journal of Hydrogen Energy · doi:10.1016/j.ijhydene.2008.07.071 · Cited by 108 · see citing works
Self-citationA three‐layered sphere model of the optical properties of phytoplankton
Kitchen, J. C., & Zaneveld, J. R. V. (1992) · Limnology and Oceanography · doi:10.4319/lo.1992.37.8.1680 · Cited by 96 · see citing works
Charney, E., & Brackett, F. S. (1961) · Archives of Biochemistry and Biophysics · doi:10.1016/0003-9861(61)90210-7 · Cited by 87 · see citing works
Optimizing algal biomass production in an outdoor pond: a simulation model
Sukenik, A., Levy, R., Levy, Y., Falkowski, P. G., & Dubinsky, Z. (1991) · Journal of Applied Phycology · doi:10.1007/bf00003577 · Cited by 85 · see citing works
Die Architektur und Organisation derChlamydomonas-Zelle
Sch�tz, F., Bathelt, H., Arnold, C., & Schimmer, O. (1972) · PROTOPLASMA · doi:10.1007/bf01279818 · Cited by 83 · see citing works
Effective optical properties of highly ordered mesoporous thin films
Hutchinson, N. J., Coquil, T., Navid, A., & Pilon, L. (2009) · Thin Solid Films · doi:10.1016/j.tsf.2009.08.048 · Cited by 80 · see citing works
Self-citationCalculation of the radiative properties of photosynthetic microorganisms
Dauchet, J., Blanco, S., Cornet, J.-F., & Fournier, R. (2015) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2015.03.025 · Cited by 80 · see citing works
Kandilian, R., Pruvost, J., Legrand, J., & Pilon, L. (2014) · Bioresource Technology · doi:10.1016/j.biortech.2014.04.045 · Cited by 77 · see citing works
Self-citationBerberoglu, H., Gomez, P. S., & Pilon, L. (2009) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2009.04.005 · Cited by 76 · see citing works
Self-citationSpectral optical properties of selected photosynthetic microalgae producing biofuels
Lee, E., Heng, R.-L., & Pilon, L. (2013) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2012.08.012 · Cited by 74 · see citing works
Self-citationBarbosa, M. J., Hoogakker, J., & Wijffels, R. H. (2003) · Biomolecular Engineering · doi:10.1016/s1389-0344(03)00033-9 · Cited by 69 · see citing works
Cell wall glycoproteins from Chlamydomonas reinhardii, and their self-assembly
Catt, J., Hills, G. J., & Roberts, K. (1978) · Planta · doi:10.1007/bf00392922 · Cited by 67 · see citing works
Kandilian, R., Pruvost, J., Artu, A., Lemasson, C., Legrand, J., & Pilon, L. (2016) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2016.01.031 · Cited by 58 · see citing works
Self-citationQuirantes, A., & Bernard, S. (2005) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2005.11.048 · Cited by 53 · see citing works
Brysk, M. M., & Chrispeels, M. J. (1972) · Biochimica et Biophysica Acta (BBA) - Protein Structure · doi:10.1016/0005-2795(72)90295-4 · Cited by 50 · see citing works
Light scattering multipole solution for a cell
Videen, G. W., & Ngo, D. D. (1998) · Journal of Biomedical Optics · doi:10.1117/1.429877 · Cited by 34 · see citing works
Control of incident irradiance on a batch operated flat-plate photobioreactor
Kandilian, R., Tsao, T., & Pilon, L. (2014) · Chemical Engineering Science · doi:10.1016/j.ces.2014.07.056 · Cited by 34 · see citing works
Self-citationScattering properties of microalgae: the effect of cell size and cell wall
Svensen, Ø., Frette, Ø., & Erga, S. R. (2007) · Applied Optics · doi:10.1364/ao.46.005762 · Cited by 32 · see citing works
Time-dependent radiation characteristics of Nannochloropsis oculata during batch culture
Heng, R.-L., & Pilon, L. (2014) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2014.04.008 · Cited by 29 · see citing works
Self-citationMorphology-dependent resonances of spherical droplets with numerous microscopic inclusions
Mishchenko, M. I., Liu, L., & Mackowski, D. W. (2014) · Optics Letters · doi:10.1364/ol.39.001701 · Cited by 26 · see citing works
Interaction Between Light and Photosynthetic Microorganisms
Pilon, L., & Kandilian, R. (2016) · Advances in chemical engineering · doi:10.1016/bs.ache.2015.12.002 · Cited by 21 · see citing works
Self-citationRadiation characteristics and optical properties of filamentous cyanobacterium Anabaena cylindrica
Heng, R.-L., Lee, E., & Pilon, L. (2014) · Journal of the Optical Society of America A · doi:10.1364/josaa.31.000836 · Cited by 20 · see citing works
Self-citationSánchez, A.-M., & Piera, J. (2016) · Biogeosciences · doi:10.5194/bg-13-4081-2016 · Cited by 5 · see citing works
Methods comparison to retrieve the refractive index of small scatterersPreprint
Sánchez, A.-M., & Piera, J. (2015) · doi:10.5194/bgd-12-18723-2015 · Cited by 1 · see citing works
Flagged first, then by citations
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Light and Photosynthetic Microalgae: A Review of Cellular- and Molecular-Scale Optical Processes
Lehmuskero, A., Skogen Chauton, M., & Boström, T. (2018) · Progress In Oceanography · doi:10.1016/j.pocean.2018.09.002 · Cited by 160 · see citing works
The open-ocean missing backscattering is in the structural complexity of particles
Organelli, E., Dall’Olmo, G., Brewin, R. J. W., Tarran, G. A., Boss, E., & Bricaud, A. (2018) · Nature Communications · doi:10.1038/s41467-018-07814-6 · Cited by 95 · see citing works
Comprehensive thematic T-matrix reference database: A 2015–2017 update
Mishchenko, M. I., Zakharova, N. T., Khlebtsov, N. G., Videen, G. W., & Wriedt, T. (2017) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2017.08.007 · Cited by 49 · see citing works
Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review
Luzi, G., & McHardy, C. (2022) · Energies · doi:10.3390/en15113966 · Cited by 44 · see citing works
Singh, S., Krishnaswamy, J. A., & Melnik, R. (2020) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2020.103859 · Cited by 30 · see citing works
Effect of colony formation on light absorption by Botryococcus braunii
Hoeniges, J., Kandilian, R., Zhang, C., Pruvost, J., Legrand, J., Grizeau, D., & Pilon, L. (2020) · Algal Research · doi:10.1016/j.algal.2020.101985 · Cited by 20 · see citing works
Self-citationBaránková, B., Lazár, D., Nauš, J., Solovchenko, A., Gorelova, O., Baulina, O., Huber, G., & Nedbal, L. (2020) · Algal Research · doi:10.1016/j.algal.2020.101881 · Cited by 17 · see citing works
Tommasi, E. D., Rea, I., Ferrara, M. A., Stefano, L. D., Stefano, M. D., Al-Handal, A. Y., Stamenković, M., & Wulff, A. (2021) · Nanomaterials · doi:10.3390/nano11112855 · Cited by 15 · see citing works
Spectra of light reflected by aggregate structures of submicron particles
Tishkovets, V. P., & Petrova, E. V. (2020) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2020.107116 · Cited by 13 · see citing works
Bio-optical Properties of Terrestrial Snow and Ice
Cook, J. M., Flanner, M. G., Williamson, C. J., & Skiles, S. M. (2019) · Springer series in light scattering · doi:10.1007/978-3-030-20587-4_3 · Cited by 11 · see citing works
Harmel, T., Agagliate, J., Hieronymi, M., & Gernez, P. (2021) · Optics Letters · doi:10.1364/ol.420344 · Cited by 10 · see citing works
Ballestas, F. R. F., Titica, M., Legrand, J., Pilon, L., & Cogne, G. (2023) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2023.108708 · Cited by 10 · see citing works
Self-citationMa, C. Y., Zhao, J. M., Liu, L. H., & Zhang, L. (2019) · Journal of Applied Phycology · doi:10.1007/s10811-018-1499-x · Cited by 7 · see citing works
Li, X., Lv, J., Lin, L., Dong, J., Liu, Z., & Yang, J. (2023) · Optics Express · doi:10.1364/oe.488913 · Cited by 6 · see citing works
Optical function of the finite-thickness corrugated pellicle of euglenoids
Inchaussandague, M. E., Skigin, D. C., & Dolinko, A. E. (2017) · Applied Optics · doi:10.1364/ao.56.005112 · Cited by 4 · see citing works
Balestrieri, S., Rendina, F., Mocella, V., Bermejo, A., Russo, G. F., & Tommasi, E. D. (2025) · Acta Biomaterialia · doi:10.1016/j.actbio.2025.07.041 · Cited by 3 · see citing works
Lin, L., Jiang, M., Shang, Z., Lv, J., Li, X., Ma, L., & Yang, J. (2024) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2024.109122 · Cited by 3 · see citing works
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Chacón-Ávila, C. A., Verrier, N., Debailleul, M., Colicchio, B., & Haeberlé, O. (2025) · Optics Express · doi:10.1364/oe.575400 · Cited by 3 · see citing works
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Ma, C., Lu, Q., & Tong, Y. W. (2025) · Photonics · doi:10.3390/photonics12020142 · Cited by 2 · see citing works
Hoeniges, J., Bhowmik, A., Yalçın, R. A., Partusch, V. J., & Pilon, L. (2023) · Algal Research · doi:10.1016/j.algal.2023.103082 · Cited by 2 · see citing works
Self-citationLin, L., Jiang, M., Li, X., & Yang, J. (2024) · Optics Express · doi:10.1364/oe.516583 · Cited by 2 · see citing works
Ma, C. Y. (2021) · Journal of Physics Communications · doi:10.1088/2399-6528/abdb4b · Cited by 2 · see citing works
Low-angle optical vortex coronagraphic scatterometer
Wan, L., Ruane, G., & Swartzlander, G. A. (2016) · Optics Letters · doi:10.1364/ol.41.004915 · Cited by 2 · see citing works
Theoretical analysis of radiative properties of pronucleus multicellular cyanobacteria
Ma, C., Zhao, J., & Liu, L. H. (2018) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2018.11.006 · Cited by 2 · see citing works
Li, X., Jiang, M., Lv, C., & Xie, B. (2024) · Applied Optics · doi:10.1364/ao.511731 · Cited by 1 · see citing works
Baró, L., Dolinko, A. E., Rosenfeldt, S., Skigin, D. C., & Carmarán, C. C. (2021) · CONICET Digital (CONICET) · doi:10.48550/arxiv.2104.10848
Ballestas, F. R. F. (2023) · theses.fr (ABES) · doi:10.70675/bb5b27d2z9a55z471cz98aez6b458b7664ab
Hoeniges, J. (2023) · theses.fr (ABES) · doi:10.70675/a2719b62zc03ez47b6z8b98z877d4a00970a · Cited by 1 · see citing works
Lopez, A. M., Savage, S., & Zhou, Z. (2026) · Bioresource Technology · doi:10.1016/j.biortech.2026.135143
Hwang, T.-T., & Kiang, J. (2026) · IEEE Access · doi:10.1109/access.2026.3723849
- Authors
- Bhowmik, A., & Pilon, L.
- Affiliations
- University of California, Los Angeles (US)
- Corresponding author
- Bhowmik, Arka
- Pilon, Laurent
- Venue
- Journal of the Optical Society of America A
- Publisher
- Optica Publishing Group
- Published
- 2016-07-12
- Volume
- 33
- Issue
- 8
- Pages
- 1495
- ISSN
- 1084-7529 (ISSN-L)
- 1520-8532
- OpenAlex
- W2471267383
- Cited by
- 30
- References
- 43
- Citations by year
- 2026: 2 · 2025: 3 · 2024: 3 · 2023: 5 · 2022: 1 · 2021: 4 · 2020: 4 · 2019: 1 · 2018: 4 · 2017: 2 · 2016: 1
- FWCI
- 2.17
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of the Optical Society of America A (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Earth and Planetary Sciences › Oceanography › Marine and coastal ecosystems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Digital Holography and Microscopy
- Keywords
- eukaryotic microalgae, spherical cells, T-matrix method, absorption cross section, scattering cross section, phase function, backscattering, Chlamydomonas reinhardtii, Chlorella vulgaris, cell wall, intracellular compartments, nitrogen limitation, starch accumulation, intracellular lipids, photosynthetically active radiation
- MeSH terms
- Cell Wall, Chlamydomonas reinhardtii, Chlorella vulgaris, Cell Proliferation, Optical Phenomena, Microalgae
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