Determining the biological activity of vitamin derivatives is needed
given that organic synthesis of analogs of vitamins is an active field
of interest for medicinal chemistry, pharmaceuticals, and food additives.
Accordingly, scientists from different disciplines perform preclinical
assays (n
ij
) with a considerable
combination of assay conditions (c
j
). Indeed, the ChEMBL platform contains a database that includes
results from 36 220 different biological activity bioassays
of 21 240 different vitamins and vitamin derivatives. These
assays present are heterogeneous in terms of assay combinations of c
j
. They are focused on >500
different
biological activity parameters (c
0), >340
different targets (c
1), >6200 types
of
cell (c
2), >120 organisms of assay
(c
3), and >60 assay strains (c
4). It includes a total of >1850 niacin assays,
>1580
tretinoin assays, >1580 retinol assays, 857 ascorbic acid assays,
etc. Given the complexity of this combinatorial data in terms of being
assimilated by researchers, we propose to build a model by combining
perturbation theory (PT) and machine learning (ML). Through this study,
we propose a PTML (PT + ML) combinatorial model for ChEMBL results
on biological activity of vitamins and vitamins derivatives. The linear
discriminant analysis (LDA) model presented the following results
for training subset a: specificity (%) = 90.38, sensitivity (%) =
87.51, and accuracy (%) = 89.89. The model showed the following results
for the external validation subset: specificity (%) = 90.58, sensitivity
(%) = 87.72, and accuracy (%) = 90.09. Different types of linear and
nonlinear PTML models, such as logistic regression (LR), classification
tree (CT), näive Bayes (NB), and random Forest (RF), were applied
to contrast the capacity of prediction. The PTML-LDA model predicts
with more accuracy by applying combinatorial descriptors. In addition,
a PCA experiment with chemical structure descriptors allowed us to
characterize the high structural diversity of the chemical space studied.
In any case, PTML models using chemical structure descriptors do not
improve the performance of the PTML-LDA model based on ALOGP and PSA.
We can conclude that the three variable PTML-LDA model is a simplified
and adaptable tool for the prediction, for different experiment combinations,
the biological activity of derivative vitamins.