T. Mata, A. Martins, and N. Caetano, Microalgae for biodiesel production and other applications: A review, Renewable and Sustainable Energy Reviews, vol.14, issue.1, pp.217-249, 2010.
DOI : 10.1016/j.rser.2009.07.020

J. Richardson, M. Johnson, and J. Outlaw, Economic comparison of open pond raceways to photo bio-reactors for profitable production of algae for transportation fuels in the Southwest, Algal Research, vol.1, issue.1, pp.93-100, 2012.
DOI : 10.1016/j.algal.2012.04.001

J. Rogers, J. Rosenberg, B. Guzman, V. Oh, L. Mimbela et al., A critical analysis of paddlewheel-driven raceway ponds for algal biofuel production at commercial scales, Algal Research, vol.4, pp.76-88, 2013.
DOI : 10.1016/j.algal.2013.11.007

R. Slade and A. Bauen, Micro-algae cultivation for biofuels: Cost, energy balance, environmental impacts and future prospects, Biomass and Bioenergy, vol.53, pp.29-38, 2013.
DOI : 10.1016/j.biombioe.2012.12.019

URL : http://doi.org/10.1016/j.biombioe.2012.12.019

Q. Béchet, A. Shilton, and B. Guieysse, Modeling the effects of light and temperature on algae growth: State of the art and critical assessment for productivity prediction during outdoor cultivation, Biotechnology Advances, vol.31, issue.8, pp.1648-63, 2013.
DOI : 10.1016/j.biotechadv.2013.08.014

O. Bernard, F. Mairet, and B. Chachuat, Modelling of Microalgae Culture Systems with Applications to Control and Optimization, Microalgae biotechnol, pp.59-87, 2016.
DOI : 10.1007/10_2014_287

URL : https://hal.archives-ouvertes.fr/hal-01245875

E. Lee, M. Jalalizadeh, and Q. Zhang, Growth kinetic models for microalgae cultivation: A review, Algal Research, vol.12, pp.497-512, 2015.
DOI : 10.1016/j.algal.2015.10.004

O. Bernard and B. Rémond, Validation of a simple model accounting for light and temperature effect on microalgal growth, Bioresource Technology, vol.123, pp.520-527, 2012.
DOI : 10.1016/j.biortech.2012.07.022

URL : https://hal.archives-ouvertes.fr/hal-00848389

G. Torzillo, B. Pushparaj, F. Bocci, W. Balloni, R. Materassi et al., Production of Spirulina biomass in closed photobioreactors, Biomass, vol.11, issue.1, pp.61-74, 1986.
DOI : 10.1016/0144-4565(86)90021-1

M. Tredici and R. Materassi, From open ponds to vertical alveolar panels: the Italian experience in the development of reactors for the mass cultivation of phototrophic microorganisms, Journal of Applied Phycology, vol.31, issue.152, pp.221-252, 1992.
DOI : 10.1007/BF02161208

S. Mathur, D. Agrawal, and A. Jajoo, Photosynthesis: Response to high temperature stress, Journal of Photochemistry and Photobiology B: Biology, vol.137, pp.116-142, 2014.
DOI : 10.1016/j.jphotobiol.2014.01.010

L. Zhang and J. Liu, Effects of heat stress on photosynthetic electron transport in a marine cyanobacterium Arthrospira sp., Journal of Applied Phycology, vol.175, issue.2, pp.757-63, 2016.
DOI : 10.1007/s10811-015-0615-4

Q. Béchet, A. Shilton, and B. Guieysse, Full-Scale Validation of a Model of Algal Productivity, Environmental Science & Technology, vol.48, issue.23, pp.13826-13859, 2014.
DOI : 10.1021/es503204e

M. Ras, J. Steyer, and O. Bernard, Temperature effect on microalgae: a crucial factor for outdoor production, Reviews in Environmental Science and Bio/Technology, vol.102, issue.5993, pp.153-64, 2013.
DOI : 10.1007/s11157-013-9310-6

URL : https://hal.archives-ouvertes.fr/hal-00852286

K. Hancke, T. Hancke, L. Olsen, G. Johnsen, and R. Glud, Temperature effects on microalgal photosynthesis-light responses measured by o 2 production , pulse-amplitude-modulated fluorescence
DOI : 10.1111/j.1529-8817.2008.00487.x

C. Downs, K. Mcdougall, C. Woodley, J. Fauth, R. Richmond et al., Heat-Stress and Light-Stress Induce Different Cellular Pathologies in the Symbiotic Dinoflagellate during Coral Bleaching, PLoS ONE, vol.101, issue.12, p.77173, 2013.
DOI : 10.1371/journal.pone.0077173.s003

G. Blanchard, J. Guarini, P. Richard, P. Gros, and F. Mornet, Quantifying the short-term temperature effect on light-saturated photosynthesis of intertidal microphytobenthos, Marine Ecology Progress Series, vol.134, pp.309-322, 1996.
DOI : 10.3354/meps134309

M. Laviale, A. Barnett, J. Ezequiel, B. Lepetit, S. Frankenbach et al., Response of intertidal benthic microalgal biofilms to a coupled light-temperature stress: evidence for latitudinal adaptation along the Atlantic coast of Southern Europe, Environmental Microbiology, vol.1797, issue.10, pp.3662-77, 2015.
DOI : 10.1038/ismej.2014.105

URL : https://hal.archives-ouvertes.fr/hal-01097838

S. Salleh and A. Mcminn, THE EFFECTS OF TEMPERATURE ON THE PHOTOSYNTHETIC PARAMETERS AND RECOVERY OF TWO TEMPERATE BENTHIC MICROALGAE, AMPHORA CF. COFFEAEFORMIS AND COCCONEIS CF. SUBLITTORALIS (BACILLARIOPHYCEAE)1, Journal of Phycology, vol.29, issue.6, pp.1413-1437, 2011.
DOI : 10.1111/j.1529-8817.2011.01079.x

S. Vieira, L. Ribeiro, M. Da-silva, J. Cartaxana, and P. , Effects of shortterm changes in sediment temperature on the photosynthesis of two intertidal microphytobenthos communities, Estuar Coast Shelf Sci, vol.119, 2013.

R. Serra-maia, O. Bernard, A. Gonçalves, S. Bensalem, and F. Lopes, Influence of temperature on Chlorella vulgaris growth and mortality rates in a photobioreactor, Algal Research, vol.18, pp.352-361, 2016.
DOI : 10.1016/j.algal.2016.06.016

URL : https://hal.archives-ouvertes.fr/hal-01377764

H. Bonnefond, N. Moelants, A. Talec, P. Mayzaud, O. Bernard et al., Coupling and uncoupling of triglyceride and beta-carotene production by Dunaliella salina under nitrogen limitation and starvation, Biotechnology for Biofuels, vol.37, issue.1, pp.25-35, 2017.
DOI : 10.1134/S0026261714020131

URL : https://hal.archives-ouvertes.fr/hal-01450081

R. Buchanan, M. Golden, R. Whiting, P. Jg, and J. Smith, Non-Thermal Inactivation Models for Listeria monocytogenes, Journal of Food Science, vol.69, issue.1, pp.179-88, 1994.
DOI : 10.1111/j.1365-2621.1970.tb12176.x

S. Bhaduri, P. Smith, S. Palumbo, T. Co, J. Smith et al., Thermal destruction ofListeria monocytogenes in liver sausage slurry, Food Microbiology, vol.8, issue.1, pp.75-83, 1991.
DOI : 10.1016/0740-0020(91)90019-X

H. Chen and D. Hoover, Modeling the combined effect of high hydrostatic pressure and mild heat on the inactivation kinetics of Listeria monocytogenes Scott A in whole milk, Innovative Food Science & Emerging Technologies, vol.4, issue.1, pp.25-34, 2003.
DOI : 10.1016/S1466-8564(02)00083-8

R. Xiong, G. Xie, A. Edmondson, R. Linton, and M. Sheard, Comparison of the Baranyi model with the modified Gompertz equation for modelling thermal inactivation of Listeria monocytogenes Scott A, Food Microbiology, vol.16, issue.3, pp.269-79, 1999.
DOI : 10.1006/fmic.1998.0243

A. Geeraerd, C. Herremans, and J. Van-impe, Structural model requirements to describe microbial inactivation during a mild heat treatment, International Journal of Food Microbiology, vol.59, issue.3, pp.185-209, 2000.
DOI : 10.1016/S0168-1605(00)00362-7

D. Sun, Handbook of food safety engineering Blackwell: Wiley; 2012. 29. van Boekel M. On the use of the Weibull model to describe thermal inactivation of microbial vegetative cells, Int J Food Microbiol, vol.74, pp.139-59, 2002.

S. Buzrul and H. Alpas, Modeling the synergistic effect of high pressure and heat on inactivation kinetics of Listeria innocua: a preliminary study, FEMS Microbiol Lett, vol.238, pp.29-36, 2004.

W. Moats, Kinetics of thermal death of bacteria, J Bacteriol, vol.105, pp.165-71, 1971.

M. Cole, K. Davies, G. Munro, C. Holyoak, and D. Kilsby, A vitalistic model to describe the thermal inactivation ofListeria monocytogenes, Journal of Industrial Microbiology, vol.42, issue.2, pp.232-241, 1993.
DOI : 10.1007/BF01584195

W. Anderson, P. Mcclure, A. Baird-parker, and M. Cole, The application of a log-logistic model to describe the thermal inactivation of Clostridium botulinum 213B at temperatures below 121.1°C, J Appl Microbiol, vol.80, issue.3, 1996.

C. Little, M. Adams, W. Anderson, and M. Cole, Application of a log-logistic model to describe the survival of Yersinia enterocolitica at sub-optima pH and temperature, International Journal of Food Microbiology, vol.22, issue.1, pp.63-71, 1994.
DOI : 10.1016/0168-1605(94)90008-6

J. Raso, I. Alvarez, S. Condon, and F. Trepat, Predicting inactivation of Salmonella senftenberg by pulsed electric fields, Innovative Food Science & Emerging Technologies, vol.1, issue.1, pp.21-30, 2000.
DOI : 10.1016/S1466-8564(99)00005-3

R. Guillard and J. Ryther, STUDIES OF MARINE PLANKTONIC DIATOMS: I. CYCLOTELLA NANA HUSTEDT, AND DETONULA CONFERVACEA (CLEVE) GRAN., Canadian Journal of Microbiology, vol.8, issue.2, pp.229-268, 1962.
DOI : 10.1139/m62-029

C. Brussaard, D. Marie, R. Thyrhaug, and G. Bratbak, Flow cytometric analysis of phytoplankton viability following viral infection, Aquatic Microbial Ecology, vol.26, pp.157-66, 2001.
DOI : 10.3354/ame026157

A. Markelova, M. Vladimirova, and E. Kuptsova, A comparison of cytochemical methods for the rapid evaluation of microalgal viability, J Plant Physiol, vol.47, issue.6, pp.815-824, 2000.

D. Berglund, R. Taffs, and N. Robertson, A rapid analytical technique for flow cytometric analysis of cell viability using calcofluor white M2R, Cytometry, vol.20, issue.4, pp.421-427, 1987.
DOI : 10.1002/cyto.990080412

U. Schreiber, C. Klughammer, and J. Kolbowski, Assessment of wavelength-dependent parameters of photosynthetic electron transport with a new type of multi-color PAM chlorophyll fluorometer, Photosynthesis Research, vol.44, issue.2, pp.127-171, 2012.
DOI : 10.1007/s11120-012-9758-1

A. White and C. Critchley, Rapid light curves: a new fluorescence method to assess the state of the photosynthetic apparatus, Photosynthesis Research, vol.59, issue.1, pp.63-72, 1999.
DOI : 10.1023/A:1006188004189

K. Tiam, S. Laviale, M. Feurtet-mazel, A. Jan, G. Gonzalez et al., Herbicide toxicity on river biofilms assessed by pulse amplitude modulated (PAM) fluorometry, Aquatic Toxicology, vol.165, pp.160-71, 2015.
DOI : 10.1016/j.aquatox.2015.05.001

B. Genty, J. Briantais, and N. Baker, The relationship between the quantum yield of photosynthetic electron transport and quenching of chlorophyll fluorescence, Biochimica et Biophysica Acta (BBA) - General Subjects, vol.990, issue.1, pp.87-92, 1989.
DOI : 10.1016/S0304-4165(89)80016-9

G. Silsbe and J. Kromkamp, Modeling the irradiance dependency of the quantum efficiency of photosynthesis, Limnology and Oceanography: Methods, vol.10, issue.9, pp.645-52, 2012.
DOI : 10.4319/lom.2012.10.645

. Béchet, 10:136 ? We accept pre-submission inquiries ? Our selector tool helps you to find the most relevant journal ? We provide round the clock customer support ? Convenient online submission ? Thorough peer review ? Inclusion in PubMed and all major indexing services ? Maximum visibility for your research Submit your manuscript at www.biomedcentral, com/submit Submit your next manuscript to BioMed Central and we will help you at every step, 2017.

P. Eilers and J. Peeters, A model for the relationship between light intensity and the rate of photosynthesis in phytoplankton, Ecological Modelling, vol.42, issue.3-4, pp.199-215, 1988.
DOI : 10.1016/0304-3800(88)90057-9

W. Henley, MEASUREMENT AND INTERPRETATION OF PHOTOSYNTHETIC LIGHT-RESPONSE CURVES IN ALGAE IN THE CONTEXT OF PHOTOINHIBITION AND DIEL CHANGES, Journal of Phycology, vol.29, issue.6, pp.729-768, 1993.
DOI : 10.1111/j.0022-3646.1993.00729.x

Q. Béchet, I. Feurgard, B. Guieysse, and F. Lopes, The colorimetric assay of viability for algae (CAVA): a fast and accurate technique, Journal of Applied Phycology, vol.38, issue.1, pp.1-9, 2015.
DOI : 10.1007/s10811-014-0508-y

L. Hirsch, R. Stafford, J. Bankson, S. Sershen, B. Rivera et al., Nanoshell-mediated near-infrared thermal therapy of tumors under magnetic resonance guidance, Proceedings of the National Academy of Sciences, vol.41, issue.24, pp.13549-54, 2003.
DOI : 10.1016/S0065-2571(00)00013-3

Q. Béchet, A. Shilton, O. Fringer, R. Muñoz, and B. Guieysse, Correction to Mechanistic Modeling of Broth Temperature in Outdoor Photobioreactors, Environmental Science & Technology, vol.47, issue.22, pp.2197-203, 2010.
DOI : 10.1021/es4045242