Non-linear transformation of factors in the design of experiments

Kościelniak, Paweł; Parczewski, A.

doi:10.1016/s0003-2670(00)85492-6

Cited by 12 publications

(4 citation statements)

References 7 publications

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“…Possible reasons for this are the presence of irrelevant model terms (i.e., overfitting) [ 78 ], model biases due to factor level errors [ 79 ] and the possibility that a second-order model does not adequately describe the relationship between the response and factors [ 80 ]. Broad design regions—e.g., by ±α-values in the CCC design—can also contribute to this issue [ 81 ]. Interestingly, the similarity of the multiple R 2 , RMSE and MAE for the confirmatory run replicates of the two designs indicated that they had equal predictive power based on statistical metrics, even though the BBD-based models had a considerable advantage in the first adequacy check.…”

Section: Discussionmentioning

confidence: 99%

Response Surface Methodology to Efficiently Optimize Intracellular Delivery by Photoporation

Goemaere

Punj

Harizaj

et al. 2023

IJMS

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Photoporation is an up-and-coming technology for the gentle and efficient transfection of cells. Inherent to the application of photoporation is the optimization of several process parameters, such as laser fluence and sensitizing particle concentration, which is typically done one factor at a time (OFAT). However, this approach is tedious and runs the risk of missing a global optimum. Therefore, in this study, we explored whether response surface methodology (RSM) would allow for more efficient optimization of the photoporation procedure. As a case study, FITC-dextran molecules of 500 kDa were delivered to RAW264.7 mouse macrophage-like cells, making use of polydopamine nanoparticles (PDNPs) as photoporation sensitizers. Parameters that were varied to obtain an optimal delivery yield were PDNP size, PDNP concentration and laser fluence. Two established RSM designs were compared: the central composite design and the Box-Behnken design. Model fitting was followed by statistical assessment, validation, and response surface analysis. Both designs successfully identified a delivery yield optimum five- to eight-fold more efficiently than when using OFAT methodology while revealing a strong dependence on PDNP size within the design space. In conclusion, RSM proves to be a valuable approach to efficiently optimize photoporation conditions for a particular cell type.

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Section: Discussionmentioning

confidence: 99%

Response Surface Methodology to Efficiently Optimize Intracellular Delivery by Photoporation

Goemaere

Punj

Harizaj

et al. 2023

IJMS

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“…(4) becomes A,/A =0.986 (iv) In order to calculate M the valuef,=0.04 (equivalent to a 25-fold dilution) extrapolated in eqn. ( 5 ) produces adequate results. This value off,,, which was not achieved experimentally, corresponds to a sufficiently high dilution and is comparable to an infinite dilution in which interferent effects would disappear.…”

Section: (I)mentioning

confidence: 93%

“…With these measurements and using eqns. (7), (5) and (8) successively a value of the corrected absorbance, A(corr), of the undiluted sample was produced. The same treatment was applied to a solution of known concentration without interferents in order to calibrate the result obtained using the solution of unknown concentration.…”

Section: Methodsmentioning

confidence: 99%

“…Once known, the parameters d and b can be used to (calculate algebraically the correction coefficient aola ( =M), by applying eqn. (5) with a sufficiently small value of the (dilution factor f,, equivalent to a very high dilution. In (order to perform this calculation an adequate value off, is (deduced from experiments on known systems without (actually producing such high levels of dilution.…”

Section: Calculation Of Correction Coefficients Aolamentioning

confidence: 99%

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Evaluation of the influence of interferents in flame atomic absorption spectrometry and correction of the analytical signal by the limit dilution method

Reig¹,

Mossi²,

Martínez³

et al. 1992

J. Anal. At. Spectrom.

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A procedure has been developed for the evaluation and correction of analyte-interferent interactions, the 'limit dilution method', which allows the required correction factor to be determined by applying the algorithm concerned to measurements, made on successive dilutions of the unknown solution. The effectiveness of the proposed method was tested by applying it to the determination of calcium (which is subject to interference by sulfate or phosphate ions) and magnesium (which is subject to interference by silicate or aluminium ions). The percentage errors obtained when determining the concentrations of the two analytes are less than those obtained using other methods. Deviations of the analytical signal of up to 250% can readily be corrected. The proposed procedure allows the corrected absorbance-concentration relationship to be linearized even in the presence of interferents.

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Calibration‐Related Applications of Experimental Plans

2023

Calibration in Analytical Science

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Non-linear transformation of factors in the design of experiments

Cited by 12 publications

References 7 publications

Response Surface Methodology to Efficiently Optimize Intracellular Delivery by Photoporation

Response Surface Methodology to Efficiently Optimize Intracellular Delivery by Photoporation

Evaluation of the influence of interferents in flame atomic absorption spectrometry and correction of the analytical signal by the limit dilution method

Calibration‐Related Applications of Experimental Plans

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