Supporting Information

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1 Supporting Information 3 4 5 6 7 8 9 10 11 1 13 14 15 16 17 18 19 0 1 3 4 5 6 7 8 9 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, 3810-193 Aveiro, Portugal (b) ALGAplus Ltda, Travessa Alexandre da Conceição 3830-196 Ílhavo, Portugal (c) Plant Morphogenesis and Biochemistry Laboratory, Federal University of Santa Catarina, Plant Science Center, 88040-900, Florianópolis, Santa Catarina, Brazil * Corresponding author Campus Universitário de Santiago, University of Aveiro, Aveiro, Portugal Tel: +351-34-37000; Fax: +351-34-370084; E-mail address: spventura@ua.pt 30 31 1

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 (%) S1.0315.D 13/01/015 8.6 S1.4915.D 0/1/015 6. 3 4 5 6 7 8

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

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

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 -1.68-1 0 1 1.68 Csurf (mol/l) 0. 0.5 1.0 1.5 1.8 t (minutes) 48 65 90 115 13 R(S/L) 0.01 0.0 0.04 0.06 0.07 5

Table A4. Coded coefficients adopted in the 3 factorial planning for Tomadol 5-7 and Pluronic P-13. Experiment X 1 X X 3 1-1 -1-1 1-1 -1 3-1 1-1 4 1 1-1 5-1 -1 1 6 1-1 1 7-1 1 1 8 1 1 1 9-1.68 0 0 10 1.68 0 0 11 0-1.68 0 1 0 1.68 0 13 0 0-1.68 14 0 0 1.68 15 0 0 0 16 0 0 0 17 0 0 0 18 0 0 0 19 0 0 0 0 0 0 0 6

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 (%) 1 0.005 65 0.0 0.4 0.39 7.14 0.015 65 0.0 0.49 0.46 6.1 3 0.005 115 0.0 0.33 0.33 0.00 4 0.015 115 0.0 0.40 0.4-5.00 5 0.005 65 0.06 0.70 0.67 4.9 6 0.015 65 0.06 0.93 0.9 1.08 7 0.005 115 0.06 0.7 0.75-4.17 8 0.015 115 0.06 0.99 1.0-3.03 9 0.0016 90 0.04 0.4 0.44-4.76 10 0.0184 90 0.04 0.73 0.7 1.37 11 0.01 48 0.04 0.57 0.63-10.53 1 0.01 13 0.04 0.73 0.67 8. 13 0.01 90 0.01 0.4 0.7-1.50 14 0.01 90 0.07 1.03 1.01 1.94 15 0.01 90 0.04 0.70 0.65 7.14 16 0.01 90 0.04 0.68 0.65 4.41 17 0.01 90 0.04 0.69 0.65 5.80 18 0.01 90 0.04 0.6 0.65-4.84 19 0.01 90 0.04 0.64 0.65-1.56 0 0.01 90 0.04 0.55 0.65-18.18 7

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 1.17 0.10 11.73 0.00 Csurf 0.01 0.13 0.09 0.93 Csurf -0. 0.13-1.71 0.1 t 0.1 0.13 0.87 0.40 t -0.6 0.13-1.98 0.08 R(S/L) -0.48 0.14-3.50 0.01 R(S/L) 0. 0.15 1.44 0.18 Csurf t -0.06 0.17-0.35 0.74 Csurf t 0.03 0.17 0.18 0.86 t R(S/L) -0.09 0.17-0.55 0.60 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 1.34 9.00 0.15.49 0.09 Error 0.60 10.00 0.06 Total 1.94 8

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 1 0.0 65 0.0 0.4 1.15 37 0.015 65 0.0 0.49 1.19 41 3 0.005 115 0.0 0.33 1.4 3 4 0.015 115 0.0 0.40 1.35 30 5 0.005 65 0.06 0.70 0.73 96 6 0.015 65 0.06 0.93 0.84 111 7 0.005 115 0.06 0.7 0.81 88 8 0.015 115 0.06 0.99 0.80 14 9 0.0016 90 0.04 0.4 0.84 50 10 0.0184 90 0.04 0.73 0.86 85 11 0.01 48 0.04 0.57 0.71 81 1 0.01 13 0.04 0.73 0.90 80 13 0.01 90 0.01 0.4 1.78 14 14 0.01 90 0.07 1.03 1.05 98 15 0.01 90 0.04 0.70 1.16 60 16 0.01 90 0.04 0.68 1.16 59 17 0.01 90 0.04 0.69 1.16 59 18 0.01 90 0.04 0.6 1.16 53 19 0.01 90 0.04 0.64 1.16 55 0 0.01 90 0.04 0.55 1.16 48 9

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) 1 0.005 65 0.0 0.4 0.39 8.19 0.015 65 0.0 0.49 0.46 7.3 3 0.005 115 0.0 0.33 0.33-0.63 4 0.015 115 0.0 0.40 0.4-5.89 5 0.005 65 0.06 0.70 0.67 3.95 6 0.015 65 0.06 0.93 0.9 0.66 7 0.005 115 0.06 0.7 0.75-4.39 8 0.015 115 0.06 0.99 1.0-3.09 9 0.0016 90 0.04 0.4 0.44-3.58 10 0.0184 90 0.04 0.73 0.7 1.8 11 0.01 48 0.04 0.57 0.63-10.48 1 0.01 13 0.04 0.73 0.67 7.48 13 0.01 90 0.01 0.4 0.7-10.17 14 0.01 90 0.07 1.03 1.01 1.84 15 0.01 90 0.04 0.70 0.65 7.86 16 0.01 90 0.04 0.68 0.65 5.1 17 0.01 90 0.04 0.69 0.65 6.17 (%) 10

18 0.01 90 0.04 0.6 0.65-4.89 19 0.01 90 0.04 0.64 0.65-0.98 0 0.01 90 0.04 0.55 0.65-17.7 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 0.65 0.0 Csurf 0.17 0.03 9.14 0.00 5.73 0.00 Csurf -0.05 0.03-1.7 0.1 t 0.0 0.03 0.78 0.45 t 0.00 0.03 0.09 0.93 R(S/L) 0.44 0.03 14.89 0.00 R(S/L) -0.01 0.03-0.30 0.77 Csurf t 0.01 0.04 0.30 0.77 Csurf R(S/L) 0.09 0.04.31 0.04 t R(S/L) 0.07 0.04 1.74 0.11 11

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 0.79 9.00 0.09 3.67 0.000014 Error 0.04 10.00 0.00 Total 0.83 1

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) 1 0.005 0.0 0.4 0.36 14.90 0.015 0.0 0.49 0.44 10.64 3 0.005 0.0 0.33 0.36-8.93 4 0.015 0.0 0.40 0.44-9.84 5 0.005 0.06 0.70 0.71-1.6 6 0.015 0.06 0.93 0.97-4.80 7 0.005 0.06 0.7 0.71 1.16 8 0.015 0.06 0.99 0.97.11 9 0.0016 0.04 0.4 0.44-3.74 10 0.0184 0.04 0.73 0.7 1.19 11 0.01 0.04 0.57 0.65-13.43 1 0.01 0.04 0.73 0.65 10.51 13 0.01 0.01 0.4 0.7-10.45 14 0.01 0.07 1.03 1.01 1.78 15 0.01 0.04 0.70 0.65 7.71 13

16 0.01 0.04 0.68 0.65 4.97 17 0.01 0.04 0.69 0.65 6.0 18 0.01 0.04 0.6 0.65-5.06 19 0.01 0.04 0.64 0.65-1.14 0 0.01 0.04 0.55 0.65-17.46 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 0.76.00 0.38 97.87 0.00 Error 0.07 17.00 0.00 Total 0.83 14

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 1 0.005 0.0 0.4 0.36 118 0.015 0.0 0.49 0.44 11 3 0.005 0.0 0.33 0.36 9 4 0.015 0.0 0.40 0.44 91 5 0.005 0.06 0.70 0.71 98 6 0.015 0.06 0.93 0.97 95 7 0.005 0.06 0.7 0.71 101 8 0.015 0.06 0.99 0.97 10 9 0.0016 0.04 0.4 0.44 96 10 0.0184 0.04 0.73 0.7 101 11 0.01 0.04 0.57 0.65 88 1 0.01 0.04 0.73 0.65 11 13 0.01 0.01 0.4 0.7 91 14 0.01 0.07 1.03 1.01 10 15 0.01 0.04 0.70 0.65 108 16 0.01 0.04 0.68 0.65 105 15

17 0.01 0.04 0.69 0.65 106 18 0.01 0.04 0.6 0.65 95 19 0.01 0.04 0.64 0.65 99 0 0.01 0.04 0.55 0.65 85 16

1 3 4 5 6 7 8 9 10 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. = 1.17 + 0.01 + 0. + 0.1 0.6 + 0.48 ( ) + 0. ( ) + 0.6 + 0.03 ( ) + 0.09 ( ) 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. = 0.65 + 0.17 0.05 + 0.0 + 0.44 ( ) + 0.01 ( ) + 0.01 + 0.09 ( ) + 0.07 ( ) 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. 11 1 13 14 = 0.65 + 0.17 0.05 + 0.44 ( ) 0.01 ( ) + 0.09 ( ) 17

1 18

1 Figure A1. Chemical structure of fucoxanthin. 3 4 5 6 7 Figure A. Pareto Chart for Pluronic P-13 experimental design. 8 9 19

.0 1.8 1.6 Predicted Values 1.4 1. 1.0 0.8 1 3 4 0.6 0.4 0.6 0.8 1.0 1. 1.4 1.6 1.8.0..4.6 Observed Values Figure A3. Graphical representation of the amount of carotenoids experimentally extracted and predicted by the model for Pluronic P-13. 0

1 Figure A4. Pareto Chart for Tomadol 5-7 experimental design. 3 4 5 6 1

1.1 1.0 0.9 0.8 Predicted Values 0.7 0.6 0.5 0.4 0.3 0. 1 3 0.1 0.1 0. 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1. Observed Values Figure A5. Graphical representation of the amount of carotenoids experimentally extracted and predicted by the model for Tomadol 5-7. 4 5 6 7 8

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

1 Figure A6. Pareto chart for the factorial planning applied to Tomadol 5-7. 3 4 5 6 7 8 9 10 11 1 4

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