## 4 Conclusions
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline
**Type** & **Name MLP** & \multicolumn{3}{c}{**Test Set**} & \multicolumn{3}{c}{**Training Set**} & \\ \hline  & & **MSE** & **MAE** & **R\({}^{2}\)** & **MSE** & **MAE** & **R\({}^{2}\)** & **Activation** & **Training** \\  & & & & & & & & & **Algorithm** \\ \hline resveratrol (RS) & 1:1-100-50-50-6:1 & 0.0148 & 0.0634 & 0.8247 & 0.0284 & 0.0981 & 0.7989 & [PERSON] & adam \\ oleanolic acid (OA) & 1:1-100-50-20-6:1 & 0.0358 & 0.0107 & 0.7991 & 0.0380 & 0.1225 & 0.8165 & [PERSON] & adam \\ ferulic acid (FA) & 1:1-100-50-50-6:1 & 0.0305 & 0.0996 & 0.7266 & 0.0359 & 0.1252 & 0.7810 & [PERSON] & adam \\ rutin (RT) & 1:1-200-100-50-6:1 & 0.0237 & 0.0831 & 0.6928 & 0.0267 & 0.0982 & 0.8520 & [PERSON] & adam \\ apigenin (AP) & 1:1-100-50-6:1 & 0.0199 & 0.0710 & 0.5563 & 0.0308 & 0.1033 & 0.7462 & [PERSON] & adam \\ \hline \end{tabular}
\end{table} 
Table 1: Results of compound concentration prediction based on liposome size for: resveratrol (RS), oleanolic acid (OA), ferulic acid (FA), rutin (RT) and apigenin (AP). their interaction with the bilayer and changes in its structure caused by their presence. In this case, the ability to scavenge free radicals is of less importance, as demonstrated for resveratrol. The recognized mechanism allows for a better understanding of the biological activity of apigenin, rutin, resveratrol and ferulic acid in the presence of oleanolic acid in the context of their interactions with biological membranes. In the future, structural studies of the investigated phenolic compounds occurring in a natural form in plants are planned. This research developed models to predict concentrations for selected compounds based on liposome size. The most effective regression model turned out to be a 1:1-100-50-50-6:1 MLP network identifying resveratrol, for which the determination index for the test set was 0.83. This means that the Multilayer perceptron model explains about 83% of the variation in the data in the test set. The high R\({}^{2}\) value means that the Multilayer perceptron model also reflects well the relationship between liposome size and the concentration of this compound. In addition, resveratrol also achieved the lowest MSE, which means the model's ability to generalize these data is very good. In the future, we plan to perform additional studies considering a larger dataset to confirm the accuracy and applicability of the models in practice. Conceptualization, K.D., K.P. and S.M.R. ; methodology, K.D. and K.P. ; software K.D. and K.P. ; validation, K.D. and K.P. ; formal analysis, K.D. and K.P. ; investigation, K.D., K.P., D.D. and E.B. ; resources, K.D., K.P. and S.M.R. ; data curation, K.D. and K.P. ; writing--original draft preparation, K.D. and K.P. ; writing--review and editing, K.D., K.P. and S.M.R. ; visualization, K.D. and K.P. ; supervision, K.D. and K.P. ; project administration, K.D. and K.P. ; funding acquisition, K.D., K.P. and S.M.R. All authors have read and agreed to the published version of the manuscript. This work received financial support from PT national funds (FCT/MCTES, Fundacao para a Ciencia e Tecnologia and Ministerio da Ciencia, Tecnologia e Ensino Superior) through the Associate Laboratories LAQV-REQUIMTE (UIDB/50006/2020 and UIDP/50006/2020). Not applicable. This work received financial support from PT national funds (FCT/MCTES, Fundacao para a Ciencia e Tecnologia and Ministerio da Ciencia, Tecnologia e Ensino Superior) through the Associate Laboratories LAQV-REQUIMTE (UIDB/50006/2020 and UIDP/50006/2020). Not applicable. This work received financial support from PT national funds (FCT/MCTES, Fundacao para a Ciencia e Tecnologia and Ministerio da Ciencia, Tecnologia e Ensino Superior) through the Associate Laboratories LAQV-REQUIMTE (UIDB/50006/2020 and UIDP/50006/2020). * (11) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Phytosomal Nanocarriers for Encapsulation and Delivery of Resveratrol-Preparation, Characterization, and Application in Mayonnaise. _LWT_**2021**, _151_, 112093.