Ion criterion (BIC) is made use of to quantify the magnitude of ond, the Bayesian info criterion (BIC) is utilized to the coefficients in the estimated input utput neurons within the hidden layer, which affects quantify the magnitude of neurons inside the hidden layer, which affects the coefficientscase study are presented to verify equations. equations. Finally, the outcomes in the in the estimated input utput the effectiveness of Lastly, the outcomes in the caseNN-based presented to verify the effectiveness of the proposed the proposed study are N-Dodecyl-��-D-maltoside Cancer estimation system compared using the LSM-based RSM. The graphical overview with the proposed NN-based estimation method overview NN-based estimation technique compared together with the LSM-based RSM. The graphicalis demonstrated in Figure 1. from the proposed NN-based estimation method is demonstrated in Figure 1.Figure 1. Proposed feed-forward NN-based estimation Figure 1. Proposed feed-forward NN-based estimation procedure. process.The remainderThethe study is in the study follows: Section follows: Section 2 introduces the of remainder organized as is organized as 2 introduces the convenconventional LSM-based RSM. the functional-link-NN-based dual-response dualtional LSM-based RSM. Section three describes Section 3 describes the functional-link-NN-based response estimation model. Section four explains the estimation model. Section 4 explains the outputs generatedoutputs generated by the proposed NNby the proposed NN-based primarily based estimation process and analyzes the LSM-based RSM determined by the results of the estimation approach and analyzes the LSM-based RSM determined by the outcomes of the case study. case study. Finally, Section 5 concludes the study and describes additional research. Lastly, Section five concludes the study and describes further studies. two. Standard LSM-Based RSM2. Standard LSM-Based RSM The RSM was very first introduced by Box and Wilson [35] and is utilised to model empiricalThe RSM was 1st introduced by output and input variables. Myers [36] empirical Box and Wilson [35] and is employed to model and Khuri and relationships in between relationships in between output and input variables. Myers [36] and Khuri and MukhopadMukhopadhyay [37] ��-cedrene custom synthesis present insightful commentaries around the various development hyay [37] present insightful commentariesthe the diverse improvement phases of complex or is phases in the RSM. When on precise functional relationship is very the RSM. When the exactunknown, the traditional LSM is employed to estimate the input esponse functional functional partnership is quite complex or is unknown, the standard LSM is applied torelationships of your output [38,39]. Generally, the estimated output [38,39]. estimate the input esponse functional relationships on the second-order response Generally, the surface functions are used to analyze RD troubles. The used to analyze RD estimated second-order response surface functions are estimated process imply and issues. Thestandard deviation functionsand normal deviation functions proposed by follows: estimated procedure mean proposed by Vining and Myers [8] is usually defined as Vining and Myers [8] could be defined as follows: ^ ^ ^ two ^ LSM (x) = 0 + i xi + i xi +i =1 i =1 p p^ ij xi x j i=1 ijp j =pp(1)^ ^ ^ 2 ^ LSM (x) = 0 + i xi + i xi +i =1 i =pp^ ij xi x j i=1 ijj =p(two)Appl. Sci. 2021, 11, x FOR PEER REVIEW4 ofAppl. Sci. 2021, 11,four of() = +++(1)^ ^ where x = x1 , . . . , xi , . . . , x j , . . . , x p can be a vector of input variables, and and are the () = m.