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1 1 Supporting Information Single-step extraction of carotenoids from brown macroalgae using non-ionic surfactants Flávia A. Vieira a, Ricardo J. R. Guilherme a, Márcia C. Neves a, Helena Abreu b Eva R. O. Rodrigues c, Marcelo Maraschin c, João A. P. Coutinho a and Sónia P. M. Ventura a* (a) Department of Chemistry, Aveiro Institute of Materials - CICECO, University of Aveiro, Campus Universitário de Santiago, Aveiro, Portugal (b) ALGAplus Ltda, Travessa Alexandre da Conceição Ílhavo, Portugal (c) Plant Morphogenesis and Biochemistry Laboratory, Federal University of Santa Catarina, Plant Science Center, , Florianópolis, Santa Catarina, Brazil * Corresponding author Campus Universitário de Santiago, University of Aveiro, Aveiro, Portugal Tel: ; Fax: ; address: spventura@ua.pt

2 1 Table A1. Identification of each batch of biomass from Sargassum muticum wild harvested in Portugal and used in this work.. Batch reference Harvest date Water content (%) S D 13/01/ S D 0/1/

3 Table A. Table of acronyms, chemical formula and molecular structure of surfactants. Surfactants Name Chemical formula Chemical Structure Brij 30 C 0H 4O 5 Brij 93 C H 44O 3 Brij 98 C 0H 40O Tomadol 5-7 (x= 11-14) Tomadol 9-1 (x=10-1) Tomadol 91-6 (x=8-10) C 1-C 15 7EO S C 10-C 1 7EO S C 8-C 10 7EO S Tween 80 C 64H 14O 6 Triton X-114 C 14H O X (x= 7 or 8) 3

4 Pluronic F-17 Pluronic F-108 Pluronic P-13 HO (CH CH O) 100 (CH CH (CH3) O) 66 (CH CH O) 100H HO (CH CH O) 133 (CH CH (CH3) O) 50 (CH CH O) 133H HO (CH CH O) 0 (CH CH (CH3) O) 70 (CH CH O) 0H Pluronic L-35 HO(CH CHO) 11- CHCH 3CH O) 16 Tergitol 15-S-7 C 1-14H 5-9O [CH CH O] 7H Tergitol NP-10 C 19H 3O 3 Tergitol 15-S-9 CH 3(CH ) 1 14(OC H 4) 9OH 4

5 Table A3. Uncoded coefficients used in the 3 factorial planning experiments for Pluronic P-13 and Tomadol 5-7. Variables Axial Point Factorial Point Central Point Factorial Point Axial Point Csurf (mol/l) t (minutes) R(S/L)

6 Table A4. Coded coefficients adopted in the 3 factorial planning for Tomadol 5-7 and Pluronic P-13. Experiment X 1 X X

7 Table A5. 3 factorial planning for Pluronic P-13 using as independent variables Csurf (mol/l), t and R(S/L). Experiment C surf (mol/l) t (minutes) R (S/L) [Carotenoids] experimental [Carotenoids] predicted Relative (mg carotenoids/g dried mass) (mg carotenoids/g dried mass) deviation (%)

8 Table A6. Regression coefficients and standard deviation of the 3 factorial planning developed for the surfactant Pluronic P-13. Coefficients Standard error t(10) p-value Intercept Csurf Csurf t t R(S/L) R(S/L) Csurf t Csurf t t R(S/L) Table A7. ANOVA results of the 3 factorial planning developed for the surfactant Pluronic P-13. Sum Squares Degrees of Freedom Mean Square Fcal p-value Regression Error Total

9 Table A8. Results obtained for the percent recoveries found for the experimental points studied in the 3 factorial planning applied to Pluronic P- 13, using the amount of carotenoids experimentally obtained and predicted by the model. Experiment C surf (mol/l) t (minutes) R (S/L) [Carotenoids] experimental [Carotenoids] predicted Recovery (%) (mgcarotenoids/gdried mass) (mgcarotenoids/gdried mass) [Carotenoids] experimental / [Carotenoids] predicted

10 Table A9. Data attributed to the independent variables [Csurf, t, and R(S/L)] to define the 3 factorial planning for Tomadol 5-7 and respective results of concentration of carotenoids experimentally extracted, the predicted results found through the mathematical model developed and the respective relative deviation. Experiment C surf (mol/l) t (minutes) R (S/L) [Carotenoids] experimental [Carotenoids] predicted Relative deviation (mg carotenoids/g dried mass) (mg carotenoids/g dried mass) (%) 10

11 Table A10. Regression coefficients of the predicted second-order polynomial model applied for the carotenoids extraction obtained from the RSM design using Tomadol 5-7 aqueous solutions. Coefficients Standard error t(10) p-value intercept Csurf Csurf t t R(S/L) R(S/L) Csurf t Csurf R(S/L) t R(S/L)

12 Table A11. ANOVA data for the extraction of carotenoids obtained from the factorial planning carried with Tomadol 5-7. Sum Squares Degrees of Freedom Mean Square Fcal p -value Regression Error Total

13 Table A1. Data attributed to the independent variables [Csurf and R(S/L)] to define the factorial planning for Tomadol 5-7 and respective results of concentration of carotenoids experimentally extracted, the theoretical results found for the mathematical model developed and the respective relative deviation. Experiment C surf (mol/l) R(S/L) [Carotenoids] experimental [Carotenoids] predicted Relative deviation (%) (mgcarotenoids/gdried mass) (mgcarotenoids/gdried mass)

14 Table A13. ANOVA data for the extraction of carotenoids obtained from the new factorial planning with two independent variables, Csurf and R(S/L), carried with Tomadol 5-7. Sum of Squares Degrees of freedom Mean Fcal p-value Regression Error Total

15 Table A14. Results obtained for the percent recoveries found for the experimental points studied in the factorial planning applied to Tomadol 5-7, using the amount of carotenoids experimentally obtained and predicted by the model. Experiment C surf (mol/l) R (S/L) [Carotenoids] experimental [Carotenoids] predicted Recovery (%) (mgcarotenoids/gdried mass) (mgcarotenoids/gdried mass) [Carotenoids] experimental / [Carotenoids] predicted

16

17 Equation A1. Polynomial equation obtained for the 3 factorial planning carried for Pluronic P-13, with x, y and z representing Csurf (mol/l), t and R(S/L), respectively. = ( ) + 0. ( ) ( ) ( ) Equation A. Polynomial equation obtained for the 3 factorial planning carried for Tomadol 5-7, with x, y and z representing Csurf (mol/l), t and R(S/L), respectively. = ( ) ( ) ( ) ( ) Equation A3. Polynomial equation obtained for the factorial planning carried for Tomadol 5-7, with X and Y representing Csurf (mol/l) and R(S/L), respectively = ( ) 0.01 ( ) ( ) 17

18 1 18

19 1 Figure A1. Chemical structure of fucoxanthin Figure A. Pareto Chart for Pluronic P-13 experimental design

20 Predicted Values Observed Values Figure A3. Graphical representation of the amount of carotenoids experimentally extracted and predicted by the model for Pluronic P-13. 0

21 1 Figure A4. Pareto Chart for Tomadol 5-7 experimental design

22 Predicted Values Observed Values Figure A5. Graphical representation of the amount of carotenoids experimentally extracted and predicted by the model for Tomadol

23 1 3 4 Figure A5. Response surface plot (left) and contour plot (right) on the content of carotenoids (mgcarotenoids/gdried mass) extracted with the combined effects of Csurf (mol/l) and R(S/L), using aqueous solutions of Tomadol 5-7 for the new factorial planning after the exclusion of the time as a variable. 3

24 1 Figure A6. Pareto chart for the factorial planning applied to Tomadol

25 1 3 4 Figure A7. Photos of the biomass after extraction of carotenoids regarding the dry and fresh algal biomass and the different solvents used in this work, ethanol, Tomadol 5-7 and Pluronic P-13. 5

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