Response surface methodology (RSM) as a tool for optimization in analytical chemistry
Abstract
A review about the application of response surface methodology (RSM) in the optimization of analytical methods is presented. The theoretical principles of RSM and steps for its application are described to introduce readers to this multivariate statistical technique. Symmetrical experimental designs (three-level factorial, Box-Behnken, central composite, and Doehlert designs) are compared in terms of characteristics and efficiency. Furthermore, recent references of their uses in analytical chemistry are presented. Multiple response optimization applying desirability functions in RSM and the use of artificial neural networks for modeling are also discussed.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
RSM is considered the most relevant multivariate statistical technique for analytical optimization.
“To solve these problems, response surface methodology (RSM), a multivariate statistic technique, has been considered the most relevant in analytical optimization.”
From Polysaccharides from macroalgae: Recent advances, innovative technologies and challenges in extraction and purification (2017) · cites this paper as Bezerra et al., 2008
Traditional one-variable-at-a-time optimization is time- and cost-consuming and does not account for interactive effects among variables.
“This optimization technique is time-and cost-consuming and does not include the interactive effects among the variables studied”
From Polysaccharides from macroalgae: Recent advances, innovative technologies and challenges in extraction and purification (2017) · cites this paper as Bezerra et al., 2008
Cites
Box-Behnken design: An alternative for the optimization of analytical methods
Ferreira, S. L. C., Bruns, R. E., Ferreira, H. S., Matos, G. D., David, J. M., Brandão, G. C., da Silva, E. G. P., Portugal, L. A., dos Reis, P. S., Souza, A. S., et al. (2007) · Analytica Chimica Acta · doi:10.1016/j.aca.2007.07.011 · Cited by 3,214 · see citing works
Modeling and optimization I: Usability of response surface methodology
Baş, D., & Boyacı, İ. H. (2006) · Journal of Food Engineering · doi:10.1016/j.jfoodeng.2005.11.024 · Cited by 2,155 · see citing works
Handbook of Chemometrics and Qualimetrics: Part A
(1998) · Data handling in science and technology · doi:10.1016/s0922-3487(97)x8000-1 · Cited by 2,031 · see citing works
Chemometrics: Statistics and Computer Application in Analytical Chemistry
(2001) · Microchemical Journal · doi:10.1016/s0026-265x(00)00156-9 · Cited by 753 · see citing works
Statistical Design – Chemometrics
(2005) · Data handling in science and technology · doi:10.1016/s0922-3487(05)x2500-x · Cited by 394 · see citing works
Hanrahan, G., & Lu, K. L. (2006) · Critical Reviews in Analytical Chemistry · doi:10.1080/10408340600969478 · Cited by 315 · see citing works
Quimiometria II: planilhas eletrônicas para cálculos de planejamentos experimentais, um tutorial
Teofilo, R. F., & Ferreira, M. M. C. (2006) · Química Nova · doi:10.1590/s0100-40422006000200026 · Cited by 236 · see citing works
Rosa, P. A. J., Azevedo, A. M., & Aires-Barros, M. R. (2006) · Journal of Chromatography A · doi:10.1016/j.chroma.2006.11.075 · Cited by 229 · see citing works
Artificial neural networks in chemometrics: History, examples and perspectives
Marini, F., Bucci, R., Magrì, A. L., & Magrì, A. (2007) · Microchemical Journal · doi:10.1016/j.microc.2007.11.008 · Cited by 186 · see citing works
How to Apply Response Surface Methodology
Edwards, D. (1991) · Journal of Quality Technology · doi:10.1080/00224065.1991.11979357 · Cited by 170 · see citing works
Experimental design II. Optimization
Araujo, P. W., & Brereton, R. G. (1996) · TrAC Trends in Analytical Chemistry · doi:10.1016/0165-9936(96)80762-x · Cited by 168 · see citing works
Vidal, L., Psillakis, E., Domini, C. E., Grané, N., Marken, F., & Canals, A. (2006) · Analytica Chimica Acta · doi:10.1016/j.aca.2006.10.053 · Cited by 162 · see citing works
Durán, E., Marı́n, R. N., Castro, R., & Barroso, C. G. (2005) · Journal of Chromatography A · doi:10.1016/j.chroma.2005.12.006 · Cited by 125 · see citing works
Response Surface Designs for Experiments in Bioprocessing
Gilmour, S. G. (2005) · Biometrics · doi:10.1111/j.1541-0420.2005.00444.x · Cited by 118 · see citing works
Gfrerer, M. H., & Lankmayr, E. P. (2004) · Analytica Chimica Acta · doi:10.1016/j.aca.2004.11.016 · Cited by 111 · see citing works
Hillaert, S., & den Bossche, W. V. (2002) · Journal of Chromatography A · doi:10.1016/s0021-9673(02)01247-5 · Cited by 94 · see citing works
Rodil, R., Carro, A. M., Lorenzo, R. A., et al. (2002) · Journal of Chromatography A · doi:10.1016/s0021-9673(02)00644-1 · Cited by 89 · see citing works
Santelli, R. E., Bezerra, M. A., DESANTANA, O., et al. (2005) · Talanta · doi:10.1016/j.talanta.2005.07.010 · Cited by 89 · see citing works
Self-citationNavalón, A., Prieto, A., Araujo, L., et al. (2002) · Journal of Chromatography A · doi:10.1016/s0021-9673(01)01523-0 · Cited by 86 · see citing works
Zougagh, M., de Torres, A. G., Alonso, E. V., & Pavón, J. M. C. (2003) · Talanta · doi:10.1016/j.talanta.2003.08.033 · Cited by 86 · see citing works
López, R., Goñi, F., Etxandia, A., et al. (2006) · Journal of Chromatography B · doi:10.1016/j.jchromb.2006.09.009 · Cited by 85 · see citing works
Tarley, C. R. T., & Kubota, L. T. (2005) · Analytica Chimica Acta · doi:10.1016/j.aca.2005.05.055 · Cited by 82 · see citing works
Bezerra, M. A., Bruns, R. E., & Ferreira, S. L. C. (2006) · Analytica Chimica Acta · doi:10.1016/j.aca.2006.07.056 · Cited by 76 · see citing works
Self-citationMarengo, E., Gianotti, V., Angioi, S., et al. (2004) · Journal of Chromatography A · doi:10.1016/j.chroma.2003.12.044 · Cited by 74 · see citing works
A Class of Three-Level Experimental Designs for Response Surface Modeling
Morris, M. D. (2000) · Technometrics · doi:10.1080/00401706.2000.10485990 · Cited by 73 · see citing works
Jalbani, N. B., Kazi, T. G., Arain, M. B., Jamali, M. K., Afridi, H. I., & Sarfraz, R. A. (2006) · Talanta · doi:10.1016/j.talanta.2006.02.045 · Cited by 73 · see citing works
Candioti, L. V., Robles, J. C., Mantovani, V. E., & Goicoechea, H. C. (2005) · Talanta · doi:10.1016/j.talanta.2005.09.021 · Cited by 73 · see citing works
Hows, M. E. P., Perrett, D. I., & Kay, J. F. (1997) · Journal of Chromatography A · doi:10.1016/s0021-9673(97)00107-6 · Cited by 69 · see citing works
Ferreira, H. S., Bezerra, M. A., & Ferreira, S. L. C. (2006) · Microchimica Acta · doi:10.1007/s00604-005-0475-8 · Cited by 68 · see citing works
Self-citationGarcía-Campaña, A. M., Cuadros-Rodrı́guez, L., González, A. L., et al. (1997) · Analytica Chimica Acta · doi:10.1016/s0003-2670(97)00155-4 · Cited by 68 · see citing works
Yusà, V., Pardo, O., Pastor, A., et al. (2005) · Analytica Chimica Acta · doi:10.1016/j.aca.2005.10.041 · Cited by 66 · see citing works
Application of neural networks for response surface modeling in HPLC optimization
Agatonović-Kuštrin, S., Zečević, M. L., Živanović, L., et al. (1998) · Analytica Chimica Acta · doi:10.1016/s0003-2670(98)00121-4 · Cited by 66 · see citing works
Martínez-Uruñuela, A., González-Sáiz, J. M., & Pizarro, C. (2004) · Journal of Chromatography A · doi:10.1016/j.chroma.2004.06.136 · Cited by 65 · see citing works
Hu, Y., Zheng, P., He, Y.-Z., & Sheng, G. (2005) · Journal of Chromatography A · doi:10.1016/j.chroma.2005.09.093 · Cited by 63 · see citing works
Ruggieri, F., D’Archivio, A. A., Carlucci, G., et al. (2005) · Journal of Chromatography A · doi:10.1016/j.chroma.2005.04.038 · Cited by 59 · see citing works
DEARAGAO, N., Veloso, M. C. D. C., Bispo, M. S., et al. (2005) · Talanta · doi:10.1016/j.talanta.2005.04.066 · Cited by 58 · see citing works
Calibração: Uma Revisão para Químicos Analíticos
Neto, M. F. P. E. B. D. B. (1996) · Química Nova · Cited by 55 · see citing works
Optimisation of high performance liquid chromatography separation of neuroprotective peptides
Novotná, K., Havliš, J., & Havel, J. (2005) · Journal of Chromatography A · doi:10.1016/j.chroma.2005.06.048 · Cited by 54 · see citing works
Kuo, C., & Sun, S. (2003) · Analytica Chimica Acta · doi:10.1016/s0003-2670(03)00169-7 · Cited by 53 · see citing works
Simultaneous determination of tetracyclines in pharmaceuticals by CZE using experimental design
Mamani, M. C. V., Farfán, J. A., Reyes, F. G. R., & Rath, S. (2006) · Talanta · doi:10.1016/j.talanta.2006.02.048 · Cited by 49 · see citing works
Hillaert, S., Snoeck, L., & den Bossche, W. V. (2004) · Journal of Chromatography A · doi:10.1016/j.chroma.2004.01.057 · Cited by 48 · see citing works
Stafiej, A., Pyrzyńska, K., Ranz, A., & Lankmayr, E. P. (2006) · Journal of Biochemical and Biophysical Methods · doi:10.1016/j.jbbm.2006.02.009 · Cited by 47 · see citing works
Tran, A. T. K., Hyne, R. V., Pablo, F., et al. (2006) · Talanta · doi:10.1016/j.talanta.2006.06.031 · Cited by 46 · see citing works
Bianchi, F., Careri, M., Marengo, E., & Musci, M. (2002) · Journal of Chromatography A · doi:10.1016/s0021-9673(02)00881-6 · Cited by 46 · see citing works
Aguilar, C., Peñalver, A., Pocurull, E., et al. (1999) · Journal of Chromatography A · doi:10.1016/s0021-9673(99)00393-3 · Cited by 45 · see citing works
Carro, A. M., Neira, I., Rodil, R., et al. (2002) · Chromatographia · doi:10.1007/bf02492476 · Cited by 43 · see citing works
An on-line pre-concentration system for determination of cadmium in drinking water using FAAS
dos Santos, W. N. L., Costa, J. L. O., Araújo, R. G. O., et al. (2006) · Journal of Hazardous Materials · doi:10.1016/j.jhazmat.2006.03.046 · Cited by 38 · see citing works
Amaro, J. A. D. A., & Ferreira, S. L. C. (2004) · Journal of Analytical Atomic Spectrometry · doi:10.1039/b312168b · Cited by 36 · see citing works
Spanilá, M., Pazourek, J., Farková, M., et al. (2004) · Journal of Chromatography A · doi:10.1016/j.chroma.2004.10.007 · Cited by 36 · see citing works
Martínez‐Gómez, M. A., Villanueva-Camañas, R. M., Sagrado, S., et al. (2005) · Electrophoresis · doi:10.1002/elps.200500304 · Cited by 33 · see citing works
Mateus, L., Cherkaoui, S., Christen, P., et al. (1998) · Journal of Chromatography A · doi:10.1016/s0021-9673(98)00741-9 · Cited by 33 · see citing works
Baranda, A. B., Etxebarría, N., Jiménez, R. M. R., & Alonso, R. M. (2005) · Talanta · doi:10.1016/j.talanta.2005.04.028 · Cited by 30 · see citing works
Araujo, P. W., Couillard, F. D., Leirnes, E., et al. (2006) · Journal of Chromatography A · doi:10.1016/j.chroma.2006.03.119 · Cited by 28 · see citing works
Optimization of supercritical fluid extraction of phenol and cresols in soil samples
Llompart, M., Lorenzo, R. A., & Cela, R. (1996) · Journal of Chromatography A · doi:10.1016/0021-9673(95)00817-9 · Cited by 28 · see citing works
Ceccato, A., Boulanger, B., Chiap, P., et al. (1998) · Journal of Chromatography A · doi:10.1016/s0021-9673(98)00547-0 · Cited by 27 · see citing works
Babaei, A., Shams, E., & Samadzadeh, A. (2006) · Analytical Sciences · doi:10.2116/analsci.22.955 · Cited by 27 · see citing works
Saccani, G., Tanzi, E., MALLOZZI, S., et al. (2004) · Food Chemistry · doi:10.1016/j.foodchem.2004.10.007 · Cited by 26 · see citing works
Brandão, G. P., Campos‐Vargas, R., de Castro, E. V. R., et al. (2006) · Analytical and Bioanalytical Chemistry · doi:10.1007/s00216-006-0875-6 · Cited by 26 · see citing works
Peña‐Farfal, C., Moreda‐Piñeiro, A., Bermejo-Barrera, A., et al. (2004) · Talanta · doi:10.1016/j.talanta.2004.03.042 · Cited by 25 · see citing works
Marini, R. D., Chiap, P., Boulanger, B., et al. (2003) · Journal of Separation Science · doi:10.1002/jssc.200301367 · Cited by 23 · see citing works
dos Santos, W. N. L., Dias, F. D. S., Fernandes, M. S., et al. (2005) · Journal of Analytical Atomic Spectrometry · doi:10.1039/b414502j · Cited by 22 · see citing works
Wang, H., Zhou, Y., Zhao, Y., et al. (2001) · Analytica Chimica Acta · doi:10.1016/s0003-2670(00)01291-5 · Cited by 18 · see citing works
Prost, F., Caslavska, J., & Thormann, W. (2002) · Journal of Separation Science · doi:10.1002/1615-9314(20021101)25:15/17 · Cited by 18 · see citing works
Zougagh, M., de Torres, A. G., & Pavón, J. M. C. (2003) · Analytical Letters · doi:10.1081/al-120020147 · Cited by 18 · see citing works
Experimental Design to Investigate Factors Affecting Capillary Zone Electrophoresis
Babu, C. V. S., Chung, B. C., & Yoo, Y. S. (2004) · Analytical Letters · doi:10.1081/al-200029380 · Cited by 15 · see citing works
Harang, V., Jacobsson, S. P., & Westerlund, D. (2004) · Electrophoresis · doi:10.1002/elps.200305812 · Cited by 14 · see citing works
Momenbeik, F., & Khorasani, J. H. (2005) · Analytical and Bioanalytical Chemistry · doi:10.1007/s00216-005-0207-2 · Cited by 14 · see citing works
Jančić, B., Medenica, M., Ivanović, D., et al. (2007) · Journal of Chromatography A · doi:10.1016/j.chroma.2007.11.076 · Cited by 14 · see citing works
Preliminary Contribution to the Quantification of HMF in Honey by Electrochemical Biosensor Chips
Alonso‐Lomillo, M. A., del Campo, F. J., & Pascual, F. J. M. (2006) · Electroanalysis · doi:10.1002/elan.200603698 · Cited by 9 · see citing works
Chiap, P., Boulanger, B., Fotsing, L., et al. (2001) · Chromatographia · doi:10.1007/bf02493020 · Cited by 8 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Nam, M. W., Zhao, J., Lee, M. S., Jeong, J. H., & Lee, J. (2015) · Green Chemistry · doi:10.1039/c4gc01556h · Cited by 467 · see citing works
Garcia-Vaquero, M., Rajauria, G., O'Doherty, J. V., & Sweeney, T. (2017) · Food Research International · doi:10.1016/j.foodres.2016.11.016 · Cited by 364 · see citing works
Fernández, M. D. L. Á., Espino, M., Gomez, F. J. V., & Silva, M. F. (2018) · Food Chemistry · doi:10.1016/j.foodchem.2017.06.150 · Cited by 257 · see citing works
Tailoring and recycling of deep eutectic solvents as sustainable and efficient extraction media
Jeong, K. M., Lee, M. S., Nam, M. W., Zhao, J., Jin, Y., Lee, D.-K., Kwon, S. W., Jeong, J. H., & Lee, J. (2015) · Journal of Chromatography A · doi:10.1016/j.chroma.2015.10.083 · Cited by 219 · see citing works
Tabaraki, R., Heidarizadi, E., & Benvidi, A. (2012) · Separation and Purification Technology · doi:10.1016/j.seppur.2012.06.038 · Cited by 217 · see citing works
Akyüz, A., & Ersus, S. (2021) · Food Chemistry · doi:10.1016/j.foodchem.2020.127673 · Cited by 183 · see citing works
Albuquerque, B. R., Prieto, M. A., Barreiro, M. F., Rodrigues, A., Curran, T. P., Barros, L., & Ferreira, I. C. F. R. (2017) · Industrial Crops and Products · doi:10.1016/j.indcrop.2016.10.050 · Cited by 154 · see citing works
Ronix, A., Pezoti, O., Souza, L. S., Souza, I. P. A. F., Bedin, K. C., Souza, P. S. C., Silva, T. L., Melo, S. A. R., Cazetta, A. L., & Almeida, V. C. (2017) · Journal of environmental chemical engineering · doi:10.1016/j.jece.2017.08.035 · Cited by 157 · see citing works
Vieira, V., Prieto, M. A., Barros, L., Coutinho, J. A. P., Ferreira, I. C. F. R., & Ferreira, O. (2018) · Industrial Crops and Products · doi:10.1016/j.indcrop.2018.02.029 · Cited by 147 · see citing works
López, C. J., Caleja, C., Prieto, M. A., Barreiro, M. F., Barros, L., & Ferreira, I. C. F. R. (2018) · Food Chemistry · doi:10.1016/j.foodchem.2018.04.103 · Cited by 118 · see citing works
Ultrasound bath-assisted extraction of essential oils from clove using central composite design
Tekin, K., Akalın, M. K., & Şeker, M. G. (2015) · Industrial Crops and Products · doi:10.1016/j.indcrop.2015.09.071 · Cited by 110 · see citing works
Vu, H. T., Scarlett, C. J., & Vuong, Q. V. (2019) · Journal of Food Science and Technology · doi:10.1007/s13197-019-03610-2 · Cited by 90 · see citing works
Pinela, J., Prieto, M. A., Barreiro, M. F., Carvalho, A. M., Oliveira, M. B. P. P., Curran, T. P., & Ferreira, I. C. F. R. (2017) · Innovative Food Science & Emerging Technologies · doi:10.1016/j.ifset.2017.02.004 · Cited by 77 · see citing works
Triaux, Z., Petitjean, H., Marchioni, E., Boltoeva, M., & Marcic, C. (2020) · Analytical and Bioanalytical Chemistry · doi:10.1007/s00216-019-02317-9 · Cited by 77 · see citing works
Zhang, D., Xiao, N., Mahbubani, K. T., del Rio-Chanona, E. A., Slater, N. K. H., & Vassiliadis, V. S. (2015) · Chemical Engineering Science · doi:10.1016/j.ces.2015.02.045 · Cited by 67 · see citing works
Roriz, C. L., Barros, L., Prieto, M. A., Morales, P., & Ferreira, I. C. F. R. (2017) · Food Chemistry · doi:10.1016/j.foodchem.2017.02.073 · Cited by 66 · see citing works
Sayed, S., Elsayed, I., & Ismail, M. M. (2018) · International Journal of Pharmaceutics · doi:10.1016/j.ijpharm.2018.08.001 · Cited by 63 · see citing works
Assessment of water degumming and acid degumming of mixed algal oil
Paisan, S., Chetpattananondh, P., & Chongkhong, S. (2017) · Journal of Environmental Chemical Engineering · doi:10.1016/j.jece.2017.09.045 · Cited by 55 · see citing works
Drinić, Z., Vladić, J., Koren, A., Zeremski, T., Stojanov, N., Kiprovski, B., & Vidović, S. (2020) · Journal of Chemical Technology & Biotechnology · doi:10.1002/jctb.6273 · Cited by 54 · see citing works
Liu, Y., Wang, H., & Cai, X. (2015) · Journal of Food Science and Technology · doi:10.1007/s13197-014-1275-0 · Cited by 51 · see citing works
de Paula, J. A. M., Brito, L. F., Caetano, K. L. F. N., de Morais Rodrigues, M. C., Borges, L. L., & da Conceição, E. C. (2016) · Talanta · doi:10.1016/j.talanta.2015.11.005 · Cited by 36 · see citing works
He, S., Wang, H., Wu, B., Zhou, H., Zhu, P., Yang, R., & Yan, X. (2012) · Molecules · doi:10.3390/molecules18010408 · Cited by 26 · see citing works
Zaib, Q., Jouiad, M., & Ahmad, F. (2019) · ACS Omega · doi:10.1021/acsomega.8b02706 · Cited by 22 · see citing works
López, D. N., Galante, M., Ruggieri, G., Piaruchi, J., Dib, M. E., Duran, N. M., Lombardi, J., de Sanctis, M., Boeris, V., Risso, P. H., et al. (2018) · LWT · doi:10.1016/j.lwt.2018.09.013 · Cited by 18 · see citing works
Pourbasheer, E., Qasemi, F., Rouhi, M., Azari, Z., & Ganjali, M. R. (2017) · Journal of Separation Science · doi:10.1002/jssc.201601453 · Cited by 10 · see citing works
- Authors
- Bezerra, M. A., Santelli, R. E., Oliveira, E. P., Villar, L. S., & Escaleira, L. A.
- Affiliations
- Universidade Federal Fluminense (BR)
- Corresponding author
- Bezerra, Marcos Almeida
- Venue
- Talanta
- Publisher
- Elsevier BV
- Published
- 2008-09-15
- Volume
- 76
- Issue
- 5
- Pages
- 965-977
- ISSN
- 0039-9140 (ISSN-L)
- OpenAlex
- W2088376206
- Cited by
- 6,075
- References
- 70
- Citations by year
- 2026: 495 · 2025: 482 · 2024: 467 · 2023: 468 · 2022: 412 · 2021: 538 · 2020: 597 · 2019: 535 · 2018: 436 · 2017: 393 · 2016: 305 · 2015: 284 · 2014: 229 · 2013: 158 · 2012: 115
- FWCI
- 79.31
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Talanta (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Optimal Experimental Design Methods
- Physical Sciences › Chemistry › Analytical Chemistry › Spectroscopy and Chemometric Analyses
- Physical Sciences › Chemistry › Analytical Chemistry › Analytical Methods in Pharmaceuticals
- Keywords
- response surface methodology, analytical method optimization, experimental design, Box-Behnken design, central composite design, Doehlert design, factorial design, multi-response optimization, desirability function, artificial neural networks, multivariate analysis
- MeSH terms
- Analysis of Variance, Chemistry Techniques, Analytical, Humans, Reproducibility of Results, Neural Networks, Computer
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review