theoretical approaches to identify the potent scaffold for...
TRANSCRIPT
ORIGINAL RESEARCH
Theoretical approaches to identify the potent scaffold for humansirtuin1 activator: Bayesian modeling and density functionaltheory
Sugunadevi Sakkiah • Mahreen Arooj •
Keun Woo Lee • Jorge Z. Torres
Received: 29 October 2013 / Accepted: 25 February 2014 / Published online: 9 March 2014
� Springer Science+Business Media New York 2014
Abstract Bayesian and pharmacophore modeling
approaches were utilized to identify the fragments and
critical chemical features of small molecules that enhance
sirtuin1 (SIRT1) activity. Initially, 48 Bayesian models
(BMs) were developed by exploring 12 different finger-
prints (ECFC, ECFP, EPFC, EPFP, FPFC, FPFP, FCFC,
FCFP, LCFC, LCFP, LPFC, and LPLP) with diameters of
4, 6, 8, and 10. Among them the BM1 model was selected
as the best model based on its good statistical parameters
including total accuracy: 0.98 and positive recalls: 0.95.
Additionally, BM1 showed good predictive power for the
test set (total accuracy: 0.87 and positive recall: 0.87). In
addition, 10 qualitative pharmacophore models were gen-
erated using 6 well-known SIRT1 activators. Hypothesis2
(Hypo2) was selected as best hypothesis, among 10 Hypos,
based on its discriminant ability between the highly active
and least/moderately active SIRT1 activators. The best
models, BM1 and Hypo2 were used as a query in virtual
screens of a drug-like database and the hit molecules were
sorted based on Bayesian score and fit value, respectively.
In addition, the highest occupied molecular orbital, lowest
unoccupied molecular orbital, and energy gap values were
calculated for the selected virtual screening hits using
density functional theory. Finally, 16 compounds were
selected as leads based on their energy gap values, which
represent the high reactivity of molecules. Thus, our results
indicated that the combination of two-dimensional (2D)
and 3D approaches are useful for the discovery and
development of specific and potent SIRT1 activators, and
will benefit medicinal chemists focused on designing novel
lead compounds that activate SIRT1.
Keywords Sirtuin � Bayesian model �Density functional theory �Ligand-based pharmacophore model � Activator
Abbreviations
ADMET Absorption, distribution, metabolism,
excretion and toxicity
BLYP Becke exchange plus Lee–Yang–Parr
correlation
BM Bayesian model
BBB Blood–brain barrier
CHARMM Chemistry at HARvard Macromolecular
Mechanics
CYP450 Cytochrome P450
DFT Density functional theory
DS Discovery Studio v3.1
Electronic supplementary material The online version of thisarticle (doi:10.1007/s00044-014-0983-3) contains supplementarymaterial, which is available to authorized users.
S. Sakkiah � J. Z. Torres (&)
Department of Chemistry and Biochemistry, University of
California, 607 Charles E. Young Drive East, Los Angeles,
CA 90095, USA
e-mail: [email protected]
M. Arooj � K. W. Lee
Division of Applied Life Science (BK21 Program), Systems and
Synthetic Agrobiotech Center (SSAC), Plant Molecular Biology
and Biotechnology Research Center (PMBBRC), Research
Institute of Natural Science (RINS), Gyeongsang National
University (GNU), Jinju, South Korea
J. Z. Torres
Jonsson Comprehensive Cancer Center, University of California,
Los Angeles, CA 90095, USA
J. Z. Torres
Molecular Biology Institute, University of California,
Los Angeles, CA 90095, USA
123
Med Chem Res (2014) 23:3998–4010
DOI 10.1007/s00044-014-0983-3
MEDICINALCHEMISTRYRESEARCH
ECFC Atom type extended connectivity fingerprints
counts
ECFP Atom type connectivity fingerprints counts
ECFP Atom type extended connectivity fingerprints
EPFC Functional class daylight path-based fingerprints
FCFC Functional class extended connectivity
fingerprints counts
FCFP Functional class extended connectivity
fingerprints
FN False negative
FP False positive
FPFC Functional class daylight path-based
fingerprint counts
FPFP Functional class daylight path-based
fingerprints
HAli Hydrophobic aliphatic
HAro Hydrophobic aromatic
HBA Hydrogen-bond acceptor
HBD Hydrogen-bond donor
HDAC Histone deacetylase
HIA Human intestinal adsorption
HOMO Highest occupied molecular orbital
Hy Hydrophobic
Hypo Hypothesis
LCFC ALogP types extended connectivity
fingerprint counts
LCFP ALogP extended connectivity fingerprint
LPFC ALogP types daylight path-based fingerprint
counts
LPLP ALogP types daylight path-based fingerprints
LUMO Lowest unoccupied molecular orbital
MCC Mathew’s correlation coefficient
MM Molecular mechanics
NI Negative ionizable
PI Positively ionized or positively ionizable
PPB Plasma protein binding
QM Quantum mechanics
QSAR Quantitative structure–activity relationships
RA Ring aromatic
ROC Receiver operating characteristic
SIRT1 Sirtuin1
TN True negatives
TP True positives
Introduction
Sirtuins (SIRTs), known as silent information regulator 2
(Sir2) proteins, are conserved from E. coli to mammals and
involved in regulating cellular responses to a variety of
stresses (Sakkiah et al., 2009). SIRTs belong to a family of
histone deacetylases (HDACs), which counteract histone
acetyltransferase enzymes (Frye, 2000; Mai et al., 2005).
The HDAC family of proteins is divided into four different
classes based on their cofactors, sequence homology and
functions (Witt et al., 2009): Class I, HDAC1–3 and 8;
Class II, HDAC4–7 and 9, 10; Class III, Sir2 also known as
SIRTs and Class IV, HDAC11. Classes I, II and IV HDACs
are similar in their catalytic domain and utilize a zinc ion to
deacetylate histone and non-histone proteins. In contrast,
SIRTs require NAD? to deacetylate histone and non-his-
tone proteins (Metoyer and Pruitt, 2008).
SIRTs are critical to cellular homeostasis and play an
important role in a myriad of biological process, including
life span regulation (Cohen et al., 2004; Howitz et al.,
2003; Kaeberlein et al., 1999; Tissenbaum and Guarente,
2001), fat metabolism (Picard et al., 2004), insulin secre-
tion (Moynihan et al., 2005), cellular stress responses
(Anderson et al., 2003; Brunet et al., 2004; Cohen et al.,
2004), axonal degeneration (Araki et al., 2004), basal
transcription factor activity, regulation of enzyme activi-
ties, rDNA recombination, and apoptosis (Gertz et al.,
2012). Thus, there has been much interest in uncovering
the chemical and structural details of these fascinating
enzymes (Sakkiah et al., 2013a). Until now, seven human
sirtuins (SIRT1–7) have been identified (Haigis and Gua-
rente, 2006; Leonard, 2007) and all isoforms share a sim-
ilar catalytic domain which consists of *275 amino acids.
With the exception of SIRT1 all other sirtuins (SIRT2–7)
consist of approximately 400 residues, whereas SIRT1
consists of 744 residues. However, SIRT size does not
appear to dictate sirtuin function, as small (SIRT6) and
large (SIRT1) sirtuins have overlapping functions in pro-
cesses like aging and stress response (Gertz et al., 2012).
Among the seven sirtuins, SIRT1 is the most charac-
terized member of the Sir2 family. SIRT1 contains two
major domains: a large domain containing a Rossmann fold
and a small domain, which splits into a zinc-binding
domain and a helical domain (Sakkiah et al., 2009). The
NAD? cofactor binds within the cleft formed by the large
and small domains adjacent to the acetylated protein
(substrate) binding tunnel. The N-terminal residues (G183–
I225) play a critical role in the enhancement of SIRT1
activity (Milne et al., 2007). The tumor suppressor protein
p53 is a transcription factor that regulates the expression of
genes, including p21 and Bax, to initiate cell-cycle arrest
and senescence or apoptosis. Interestingly, SIRT1 deacet-
ylates p53 at lysine 382 and attenuates its transcriptional
activity in response to DNA damage (Brunet et al., 2004;
Dryden et al., 2003; Motta et al., 2004; Rodgers et al.,
2005; Vaziri et al., 2001; Yeung et al., 2004). SIRT1 has
also been implicated as a mediator of caloric restriction, a
low-calorie dietary regimen without malnutrition that
extends the life span of yeast, worms, flies, and mammals
Med Chem Res (2014) 23:3998–4010 3999
123
and decreases the incidence of age-associated disorders
like cardiovascular disease, diabetes, and cancer. There-
fore, SIRT1 is emerging as a crucial drug target for
designing activators and inhibitors for the treatment of
various diseases (Taylor et al., 2008). There are two
putative conceptual modes for activating SIRT1, the direct
and allosteric methods (Westphal et al., 2007). In this
work, we focus on the allosteric method to design activa-
tors for SIRT1 based on the reported activators including
resveratrol (a natural substrate found in red wine which
enhances SIRT1 activity, and thereby extends the lifespan
of mammals Pillarisetti, 2008), SRT1720, SRT2183, and
SRT1460 (Szczepankiewicz and Ng, 2008).
Currently there is no SIRT1 (allosteric site) three-
dimensional (3D) structure available, hence to further our
understanding of SIRT1 activators, we developed a
Bayesian model (BM) based on the reported SIRT1 acti-
vators. An integrated Bayesian and pharmacophore mod-
eling approach was utilized to identify the molecular
fragments and critical chemical features of SIRT1 activa-
tors, respectively (Rogers et al., 2005; Sakkiah et al., 2009,
2010, 2011a, b). The generated 2D and 3D models were
used as a query for virtual screening of a drug-like data-
base. The combined 2D and 3D approaches enabled the
elucidation of the molecular fragments and chemical fea-
tures of small molecules that are important to enhance the
SIRT1 activity. Orbital energies like highest occupied
molecular orbital (HOMO) and lowest unoccupied molec-
ular orbital (LUMO) were calculated for the 44 known
activators and were used as criteria for identifying hit leads
from virtual screens.
Materials and methods
Molecular simulations
The molecular simulation studies were performed using the
Discovery Studio v 3.1. (DS, Accelrys, Inc., San Diego,
USA). Three different approaches, Bayesian modeling,
pharmacophore modeling, and density functional theory
(DFT), were applied to the discovery of chemical features
important for the potency of SIRT1 activators.
BM generation
In chemoinformatics, the Bayesian network (an emerging
new technique in drug discovery) acts as the best alterna-
tive tool for similarity-based virtual screening approaches.
To generate and validate the BMs, a set of 360 SIRT1
activators were collected from various literatures and pat-
ents (Bemis et al., 2009; Mai et al., 2009; Vu et al., 2009)
with a reported biological activity value (EC50). The
collected SIRT1 activators were sketched with the help of
ACD ChemSketch v12 and transformed to 3D using DS.
Based on the EC50 values the collected 360 activators were
divided into 184 highly active activators (EC50 B5 lM)
and 176 least active activators (EC50 [5 lM). The force
field of Chemistry at HARvard Macromolecular Mechan-
ics, CHARMM (Brooks et al., 1983), a flexible and com-
prehensive empirical energy function that is a summation
of many individual energy terms, was applied to all SIRT1
activators. The quality of the BM was directly proportional
to the preeminent of training set compounds, descriptors/
fingerprints, and statistical method (Prathipati et al., 2008).
Preparation of training set based on diversity
The molecular diversity in the training set plays a major role
in finding an important fragment in the generation of BM.
Hence, the Diverse Molecules/Library Analysis was applied
to select the training and test sets compounds based on the
subset of structure diversity with respect to functional class
fingerprints of maximum diameter 4, FCFP_4 (Prathipati
et al., 2008). The curated activators (360 activators) were
divided into training set (20 highly active and 20 least active)
and test set (164 highly active and 156 least active) based on a
maximum dissimilarity approach. DS provides three types of
conformational analysis: FAST, BEST, and CAESAR
quality analysis (Sakkiah et al., 2011b). BEST conformation
analysis ensures the best coverage of the conformational
space, hence it was used to generate the conformations for
the training and test set activators. A maximum number of
255 diverse conformations were generated for each com-
pound in training and test sets using Monte-Carlo-like
algorithm with an energy range of 20 kcal mol-1 together
with the poling algorithm (Smellie et al., 1995).
Selection of molecular descriptors
Descriptors are classified based on the molecular repre-
sentation such as 1D (molecular formula, volume, and
LogP), 2D (molecular connectivity/topology), 3D (molec-
ular geometry/stereochemistry/pharmacophore), and 4D/
5D (conformational ensembles). Here, we focused on the
2D descriptors including ALogP, molecular properties
counts and element counts, surface and volume using 2D
estimation and Estate Keys to generate the BMs. The main
aim in calculating the descriptors is to check how well
these descriptors are correlated with the reported biological
activity of compounds.
Fingerprints selection
Laplacian-modified Bayesian analysis combined with fin-
gerprints is especially useful for high-throughput data
4000 Med Chem Res (2014) 23:3998–4010
123
analysis because it is fast, easily automated and scales
linearly with the number of samples (Rogers et al., 2005).
Hence, we selected 12 different fingerprints including
(i) atom type extended connectivity fingerprints counts
(ECFC), (ii) atom type extended connectivity fingerprints
(ECFP), (iii) atom type connectivity fingerprints counts
(EPFC), (iv) atom type daylight path-based fingerprints
(EPFP), (v) functional class daylight path-based fingerprint
counts (FPFC), (vi) functional class daylight path-based
fingerprints (FPFP), (vii) functional class extended con-
nectivity fingerprints counts (FCFC), (viii) functional class
extended connectivity fingerprints (FCFP), (ix)
ALogP types extended connectivity fingerprint counts
(LCFC), (x) ALogP extended connectivity fingerprint
(LCFP), (xi) ALogP types daylight path-based fingerprint
counts (LPFC), and (xii) ALogP types daylight path-based
fingerprints (LPLP), with a diameters of 4, 6, 8, and 10 to
design BMs. Extended connectivity fingerprints generate
higher-order features with each feature representing the
presence of a structural unit. Atom environment counts
generate higher-order features (Bender et al., 2004) and
hashed atom environment counts use a hashing algorithm
to create an integer representation of the atom environment
counts. The only difference in the generation of a func-
tional class or atom type is the assignment of the initial
atom code for each heavy, non-hydrogen atom of the
molecule. The initial code assigned to an atom type is
based on the number of connections to the atom, element
type, charge, atom mass, and valence. For the functional
class, initial atom code is based on quick estimate of the
functional role the atom plays, this role indicates that the
atom must be a combination of hydrogen-bond acceptor
(HBA), hydrogen-bond donor (HBD), positively ionized or
positively ionizable (PI), aromatic, and halogen. Hence,
these different fingerprints were chosen to find which one
was more appropriate to differentiate the highly active
from least active SIRT1 activators.
Laplace modified naıve Bayesian classifier
In recent studies, Bayesian inference network was intro-
duced as a promising similarity search approach. In this
work, Laplacian-corrected Bayesian classifier algorithm
(Prathipati et al., 2008) was used to generate BMs for SIRT1
activators. Multiple reference structures were used or more
weights assigned to some fragments in molecular structure.
This implementation of Bayesian statistics used information
from both highly active and least active SIRT1 activators in
the training set and removed features from the model which
were deemed to be less important. The following steps were
taken for BM generation: (i) features of the sample were
generated for each compound, (ii) the weight was calculated
for each feature using a Laplacian-adjusted probability
estimate, (iii) weights were summed to provide a probability
estimate which is a relative predictor of the likelihood of that
sample being from the good subset, and (iv) Laplacian-cor-
rected estimator was used to adjust the uncorrected proba-
bility estimate of a feature to account for different sampling
frequencies of different features. The value of ‘‘1’’ was
assigned to highly active activators and ‘‘0’’ for least active
activators. The BM was built based on Bayes’ theorem:
Pðh=dÞ ¼ Pðd=hÞPðhÞ=PðdÞ;
where h denotes the model. D is the observed data,
P(h) indicates the prior belief (probability of pharmaco-
phore model h before observing any data), P(d) is the data
evidence (marginal probability of the data), P(d/h) is the
likelihood (probability of data d if pharmacophore model
h is true), and P(h/d) is the posterior probability (proba-
bility of pharmacophore model h being true given the
observed data d; Sakkiah et al., 2013b). The modeling
process creates a predictive model from the training set that
can then be applied to score samples in the test set, and the
score can be used to prioritize samples for screening.
Qualitative pharmacophore model generation
Pharmacophore modeling is one the most potent techniques
used to identify the critical chemical features from known
inhibitors/activators of a particular target. The ligand-based
approach is one of the most powerful tools in the rational
drug design process. Qualitative hypothesis (Hypo) using
the Hip-Hop algorithm was utilized to generate a Hypo for
SIRT1 activators.
Training set preparation
Initially 45 good SIRT1 activators were collected from the
literature. The diversity of the training set was directly
proportional to the quality of the generated Hypo. Hence
Cluster Ligands protocol was used to select 6 highly
diverse SIRT1 activators from the 45 activators. Cluster
Ligands protocol recognized the common pattern or
chemical features present in the SIRT1 activators and
assigned a set of molecules into subsets or clusters based
on the root mean square difference in the Tanimoto dis-
tance for fingerprints, such that molecules with similar
properties clustered. The cluster analysis was performed by
a relocation method based on maximal dissimilarity por-
tioning. Initially, it randomly chose the data set as the first
cluster center and based on the distance record from the
first center, it selected the next cluster center. The process
was repeated until a sufficient number of cluster centers
were achieved. Six clusters were obtained through this
process and finally six SIRT2 activators were selected as a
training set (one SIRT1 activator from each cluster).
Med Chem Res (2014) 23:3998–4010 4001
123
Pharmacophore model generation
DS provides a dictionary of chemical features important in
drug-enzyme/receptor interactions such as HBA, HBD,
hydrophobic (Hy), Hy aliphatic (HAli), Hy aromatic
(HAro), ring aromatic (RA), and PI and negative ionizable
(NI) chemical groups. Sakkiah et al. (2009) reported that
the HBA, HBD, RA, PI, and Hy chemical features were
important for a molecule to enhance SIRT1 activity. Hence
these five chemical features were selected to generate a
qualitative Hypo models.
The qualitative pharmacophore generation for SIRT1
activators was performed in three-steps (Sakkiah et al.,
2011a; Ferreira da Silva et al., 2004): (i) generation of the
conformation for each molecule in the training set, (ii) each
conformer is examined for the presence of certain chemical
features, and (iii) a 3D configuration of chemical features
common to the input molecules is determined. In the Hypo
generation methodology, the highest weight value of ‘‘2’’
was assigned for all compounds which ensures that all the
chemical features present in the compound will be con-
sidered in building Hypo space and ‘‘0’’ for the principal
and maximum omitting features columns (Arooj et al.,
2013). The ranking score for each individual Hypo was
calculated based on a ranking formula and the default
definition of the ‘‘FIT’’ of a molecule to the Hypo, in order
to determine the probability that a selected Hypo mapped
with the training set molecule by a chance correlation. The
top 10 common feature Hypos were generated with the best
ranking scores. The quality of the Hypo was predicted by
calculating the ‘‘fit-value’’ and this value was defined as the
weight (f) 9 [1 - SSE(f)], where f is the mapping features,
SSE(f) is the sum over location constraints c on f of [D(c)/
T(c)] 2, D is the displacement of the feature from the center
of the location constraint, and T (tolerance) is the radius of
the location constraint sphere for the feature.
Pharmacophore model validation
The test set was prepared to identify the best pharmaco-
phore model, as well as to check how accurately it was able
to differentiate the highly active from moderately/least
active SIRT1 activators. The test set contained 130 acti-
vators collected from the literature and classified into three
sets based on their activity values: highly active (EC50
\5 lM), moderately active (5 B EC50 B 50 lM), and
least active (EC50[50 lM). All the activators were energy
minimized by applying CHARMM force field and 255
conformations were generated for each compound based on
the energy values. To select a best Hypo, Ligand Phar-
macophore mapping module was used to screen the test set
to find which Hypo was able to pick a reliable number of
highly active SIRT1 activators.
Preparation of drug-like database
Chemists typically prioritize screening hits on the basis of
‘‘drug-like properties,’’ synthetic accessibility, intellectual
property potential, and potency. Hence, a drug-like data-
base was generated by removing the non-drug-like com-
pounds with a high probability of having undesirable
molecular features that would hamper their development.
Initially, a simple Rule of 5 was applied to filter Maybridge
(60,000), Chembridge (50,000), NCI (*200,000), and
ChemDiv (*0.7 million) databases on the basis of their
likelihood to be orally availability. Rule of 5 (Lipinski,
2000) states that the molecular weight should be less than
or equal to 500 kDa, LogP less than or equal to 5, HBA (O
and N) less than or equal to 10, and HBD (OH and NH) less
than or equal to 5. Furthermore, absorption, distribution,
metabolism, excretion, and toxicity, ADMET (Sakkiah
et al., 2010, 2011b) was applied to select the compounds
having less toxicity, should not cross the blood–brain
barrier (BBB), good solubility, and absorption. The AD-
MET functionality estimates the values of BBB penetra-
tion, solubility, cytochrome P450 (CYP450) 2D6
inhibition, hepatotoxicity, human intestinal adsorption
(HIA), plasma protein binding (PPB) and access a broad
range of ligand toxicity measures. This approach is based
on the assumption that compounds resembling known
drugs are more likely to possess desirable biological
properties such as low toxicity, high oral absorption and
permeability, resistance to metabolic degradation, and the
absence of rapid excretion. Finally, Prepare ligand module
was used to eliminate the duplicate structures, as well as to
generate the possible tautomer’s and isomers.
Virtual screening using BM and pharmacophore models
Initially, the best BM was used as an input for virtual
screening to select compounds from the drug-like database.
BM screening retrieved compounds from the drug-like
database with similar molecular fragments present in
highly active SIRT1 activators. The screened compounds
which had the similar molecular fragment were further
validated by mapping to best qualitative pharmacophore
model to identify whether these compounds had the
important chemical features found in highly active SIRT1
activators.
Density functional theory
There is growing evidence that DFT provides an accurate
description of the electronic and structural properties of
small molecules by computing the electronic structure of
matter. The energy of SIRT1 activators was calculated
using Calculate Energy module by combining the quantum
4002 Med Chem Res (2014) 23:3998–4010
123
mechanics (QM) and molecular mechanics (MM) force
field (Sherwood et al., 2003). DFT calculated the QM–MM
single point energies and geometry optimization minimi-
zations using Dmol3 as the quantum server with
CHARMM force field (Momany and Rone, 1992). This
protocol simulated the systems by dividing the input into
two regions, central and outer regions, which were treated
by QM and MM methods. It also calculated the electronic
orbital properties for a molecule including the highest
occupied atomic orbital (HOMO) and lowest occupied
atomic orbital (LUMO). Bayesian training set molecules
were optimized by applying the QM–MM at Becke
exchange plus Lee–Yang–Parr correlation (BLYP) hybrid
DFT. The optimized molecules were used to calculate the
HOMO and LUMO energy values.
Results and discussion
The major aims of this study were to derive a BM and a
pharmacophore model that would be able to select the
beneficial chemical fragments and chemical features, with
suitable geometric constraints to discriminate between
good and weak SIRT1 activators.
Bayesian classifier model
A BM is a type of classification model that captures a
simple two-class relationship (active and inactive) to dis-
tinguish between ‘‘good’’ and ‘‘bad’’ fragments. The main
advantages of Bayesian categorization are: (i) it can handle
large amounts of data, (ii) it learns fast, (iii) it is tolerant of
random noise, and (iv) it is not prone to over fitting.
Development and validation of BMs
The training set contained 40 (20 active and 20 inactive)
SIRT1 activators, which were selected based on molecular
diversity. A total of 48 BMs were generated from 12 dif-
ferent fingerprints with diameters of 4, 6, 8, and 10 and
validated using the 10-fold cross validation (Table S1). In
this validation process, one tenth of the samples were left
out and the remaining samples were used to build the
models. The generated models were used to predict the
scores for the left out samples. This process was repeated
until all samples had prediction values. The samples, sorted
out by decreasing the score value, were used to estimate the
predictive power of the resultant BMs based on several
statistical parameters like receiver operating characteristic
(ROC) value, total accuracy, and enrichment values. The
ROC value indicates that the classification power of the
models by representing how often the model correctly
identifies the true positive (TP) and true negative (TN) in
the dataset. In addition, ROC values between 0.50–0.60,
0.60–0.70, 0.70–0.80, 0.80–0.90, and 0.90–1 indicate the
accuracy of the model as fail, poor, fair, good, and excel-
lent, respectively. In our study, out of 48, 9 models showed
a ROC value between 0.9 and 1 which indicates that these
models are excellent when compared with the remaining
models.
The nine excellent BMs were obtained from three fin-
gerprints (EPFC, FPFC, and LPFC) with a diameter of 10,
8, and 6. Table S2 summarizes the key statistical dis-
criminative parameters of these models in comparison with
the performance of nine derived models. The EPFC_10
Bayesian model (BM1) was chosen as a best model, among
the nine derived models, based on the highest average
prediction accuracy for highly active activators (positive
recalls 19) and the highest total prediction accuracy (total
accuracy 0.98; Table S3). The ROC plot revealed that the
BM1 had an excellent prediction accuracy for training set
(ROC 0.96; Fig. 1), as well as for the test set (ROC 0.94).
Enrichment plots display the percentage of true category
members captured at a particular percentage cutoff. The
BM1 enrichment plot indicated very high and reasonable
enrichment values for the training and test set, respectively.
The best split is a statistical value used to evaluate the
quality of the BM. The spilt minimized the sum of percent
misclassified for category members and nonmembers,
using the cross-validated score for each sample. Based on
the split, a contingency table was constructed containing
the number of TP, false negative (FN), false positive (FP)
and TN (Alcendor et al., 2004; Yang et al., 2013). The total
accuracy, negative recall, precision, EF, Mathew’s corre-
lation coefficient (MCC), sensitivity (positive recall) and
specificity were calculated based on TP, TN, FP and FN
(Table S2). Finally, a distribution curve for the training set
suggested that the selected BM1 model can segregate the
highly active from least active activators. While the La-
placian-modified Bayesian score for the highly active
Fig. 1 ROC plot between true positive (TP) and false positive (FP)
for Bayesian BM1
Med Chem Res (2014) 23:3998–4010 4003
123
activators was mostly in the range of 0.598–0.551, the least
active activators were predominantly between -2.129 and
-1.655. In summary, all statistical parameters suggested
that the BM1 model had a higher predictive ability than
other BMs. The list of good and bad substructures prefer-
entially present in highly and least active activators can
serve as a look-up guide for chemists/computational
chemists during hit-to-lead or lead optimization campaigns
(Figs. 2, 3).
Qualitative pharmacophore model generation
Pharmacophore approaches have attempted to create 3D
models with the necessary key chemical features that
interact with the protein by common substructure features
present in known activators or inhibitors. Pharmacophore
models are used to identify structure–activity relationships
(SARs) as well as to develop new lead compounds which
can enhance the activity and selectivity for a particular
target (Sakkiah et al., 2011b). A total of 45 SIRT1 acti-
vators were collected from the literatures and 6 chemical
clusters were produced based on the FCFP_6 fingerprints
using Cluster Ligand module. One molecule from each
cluster (to achieve the maximum diversity of the activators)
with good structure diversity was used to generate the top
10 qualitative Hypos, which were selected as a training set
(Fig. 4). The top 10 Hypos were generated with their
ranking score values between 83.40 and 74.43 bits. Direct
hit, partial hit mask value of ‘‘1’’ and ‘‘0’’ for all Hypos
indicated that all the molecules of the dataset mapped all
features of the Hypo and there was no partial mapping or
missing features in the training set molecules, respectively
(Table S4). Among these 10 hypotheses, Hypo1 and Hypo2
had similar chemical features and showed the highest-
ranking score. The high-ranking scores indicated that these
Hypos could select compounds with similar chemical fea-
tures from any database. However, an external validation
test set was used to validate these Hypos; how well they
were able to pick the active activators from moderately or
least active activators other than the training set
compounds.
Qualitative pharmacophore models validation
The test set, containing 130 compounds that were not
present in the training set, was used to evaluate the effec-
tiveness of the top 10 Hypos. These top 10 Hypos were
divided into two groups contingent on the number of
chemical features: Group I, contained four hypotheses
(Hypo1: 2-RA, 2-Hy, 2-HBA; Hypo2: 2-RA, 2-Hy,
2-HBA; Hypo3: 1-RA, 3-Hy, 2-HBA and Hypo4: 1-RA,
3-Hy, 2-HBA) with six pharmacophore features and Group
II, consisted of six hypotheses (Hypo5: 2-RA, 1-Hy,
2-HBA; Hypo6: 2-RA, 1-Hy, 2-HBA; Hypo7: 2-RA, 1-Hy,
Fig. 2 Fingerprints predicted to be crucial for enhancing SIRT1 activity keyed out from Bayesian theory
4004 Med Chem Res (2014) 23:3998–4010
123
2-HBA; Hypo8: 2-RA, 1-Hy, 2-HBA; Hypo9: 2-RA, 1-Hy,
2-HBA and Hypo10: 2-RA, 1-Hy, 2-HBA) with five
pharmacophore features. All of the pharmacophore models
in Group I were able to retrieve a good number of active
compounds (greater than 90 % from the test set), whereas
Group II Hypos selected less than 60 % of active com-
pounds from the test set (Table S5). Thus, we focused on
Group I Hypos, among the four hypotheses, Hypo1 was
Fig. 3 Unfavorable fingerprints identified by the Bayesian theory
Fig. 4 Training set compounds
used for generating quantitative
hypotheses. Their EC50 values
in nM are indicated in brackets
Med Chem Res (2014) 23:3998–4010 4005
123
able to screen only 94 % of the active compounds, which
was less compared to the other remaining hypotheses
(Hypo2: 100 %, Hypo3: 96 % and Hypo4: 96 %). Hypo1
and Hypo2 have similar chemical features, however, due to
the geometric constraints of the chemical features Hypo1
retrieved a lower percentage of activators from the test set.
On the other hand, Hypo2 picked the least number of
compounds from the moderately and least active activators
compared with Hypo3 and Hypo4 (Table S6). Hypo2,
which shows a good ranking score and predictive ability,
consists of 2-RA, 2-Hy, and 2-HBA and its corresponding
geometric constrains are summarized in Table S4. Thus,
Hypo2 was selected as the best Hypo from the qualitative
Hypos (Fig. 5). The best and least fit compounds by Hypo2
are shown in Fig. 6. Therefore, we suggest that the
chemical features of Hypo2 reflect the characteristics of the
atoms present in SIRT1 activators.
Virtual screening using best BM and pharmacophore
models
Many virtual screening techniques such as substructure and
similarity searches, molecular docking, and quantitative
SARs (QSAR) have been the focus of medicinal chemists
to reduce the time, cost, and man power of identifying
potent activators and inhibitors. Virtual screening of
chemical databases can serve two main purposes: (i) to
validate the quality of a generated Hypo by selective
detection of compounds with known inhibitory activity and
(ii) to find novel potential leads which are suitable for
further characterization.
The best BM and quantitative pharmacophore models
were used to screen a generated drug-like database. First,
BM1, best BM, was used to check whether the important
chemical fragments were present in the drugs-like mole-
cules or not. The BM1 picked nearly 40,000 compounds
from the drug-like database, and these compounds were
subsequently screened using Hypo2 to select the ones with
suitable chemical features and with geometrical constrains
to enhance the activity of SIRT1. Interestingly, 196 com-
pounds contained all the chemical features in Hypo2 with a
suitable geometric constrain. The reactivity of 196 com-
pounds was predicted by calculating the energy gap value
using DFT.
Density functional theory
DFT is a popular and successful tool for computing the
electronic structure of matter. DFT has been used to predict
the stability of charge transfers and to analyze the reaction
mechanisms responsible for antioxidant activity (Estevez
and Mosquera, 2008; Ferreira da Silva et al., 2004; Leo-
poldini et al., 2010). Thus, we utilized the DFT approach to
theoretically characterize the electronic properties and
structure properties that correlate with SIRT1 activators.
DFT predicts a great variety of molecular properties such
as molecular structures, vibration frequencies, atomization
Fig. 5 Hypo2 chemical features and spatial arrangement. HBA
hydrogen-bond acceptor (green), RA ring aromatic (brown), and Hy
hydrophobic (cyan) (Color figure online)
Fig. 6 Best (a) and least (b) fit
training set molecules in Hypo2.
HBA hydrogen-bond acceptor
(green), RA ring aromatic
(brown), and Hy hydrophobic
(cyan) (Color figure online)
4006 Med Chem Res (2014) 23:3998–4010
123
energies, ionization energies, electric and magnetic prop-
erties, reaction paths, etc. Initially the orbital energies,
HOMO and LUMO, were calculated for 44 SIRT1 acti-
vators by applying the BLYP, which are responsible for the
charge transfer in a chemical reaction (Sakkiah et al.,
2009). The geometry obtained from BLYP was used to
calculate the orbital energy values. The reaction occurs
when the HOMO of the nucleophile overlaps with the
LUMO of the electrophilic species. The orbital energies of
frontier orbitals are small, ranging between -0.20 and
-0.12 au (-5.297 to -2.212 eV) for HOMO and -0.11 to
-0.06 au (-2.598 to -1.413 eV) for LUMO (Table S7).
Along the reaction coordinates, the HOMO–LUMO gap
becomes narrower and favors reactivity. The small values
of orbital energies indicate that the molecules are more
reactive and rapid electron transfer and exchanges are
equally possible. The molecules that have small energy
gaps, signifies stability, are likely to undergo changes in the
charge distribution through rapid electron transfer between
HOMO and LUMO. The higher HOMO value implies that
the molecule has good electron donating ability. On the
other hand, lower HOMO values imply a weak electron
donating ability. In most of the reported SIRT1 activators,
the peptide bond was perfectly mapped by HBA and was
also confirmed by the HOMO and LUMO values (Fig. 7).
The electron density of the HOMO at an atom is a measure
of relative reactivity of the HOMO at the atom within a
single molecule, while the energy level of the HOMO
reflects the reactivity of different molecule, thus molecules
with smaller ionization (-HOMO) are expected to be more
reactive as nucleophiles.
The smaller energy gap between the LUMO and HOMO
energies illustrates the high reactivity of the molecules.
The wide gap is unfavorable for the electron to be excited
from HOMO to LUMO, which consequently leads to the
weak affinity of the SIRT1 activators. The orbital energy
gap values for all the reported activators are in the range of
0.02–0.13 au. Considering the above energy gap value
(0.13 au) as a reference, the orbital energy values were
calculated for the 196 hit leads from the virtual screening
process. Among the 196 compounds only 16 compounds
showed an energy gap value less than 0.13 au. Finally,
these 16 molecules were selected as the best leads, which
can rapidly transfer electrons, by applying the cutoff value
of less than 1 (Table S8). Thus, these protocols are useful
for improving the activity of the molecules, as well as to
identify the novel structures that share the similar chemical
features and may thus elicit the desired biological response.
Fig. 7 Identification of SIRT1 activators. (a) Chemical structures of
representative SIRT1 activators. (b) Molecules that fit in Hypo2
hypothesis. (c) Highest occupied molecular orbital (HOMO)
distribution. (d) Lowest unoccupied molecular orbital (LUMO)
distribution. HBA hydrogen-bond acceptor (green), RA ring aromatic
(brown), and Hy hydrophobic (cyan) (Color figure online)
Med Chem Res (2014) 23:3998–4010 4007
123
Application of the BM and pharmacophore models
The BM and pharmacophore models were well defined for
virtual screening. As an illustration, the selected Bayesian
BM1 model was used as a 3D query to screen the drug-like
database. In addition, the results of the model will be useful
for designing and optimizing compounds with SIRT1
activity, either by replacing the inactive substructures with
active ones, removing inactive substructures altogether or
by adding active substructures to small fragments with
promising cellular activity. Such strategies are especially
useful in lead optimization campaigns with compounds
identified in cellular screens, where SARs are often diffi-
cult to interpret and maintaining cellular activity can be a
challenge. The 3D QSAR pharmacophore model, Hypo2,
could be useful to medical chemists to determine whether
lead compounds contain the suitable chemical features.
The identified compounds were subjected to a novelty
study using PubChem structure search tools and Scifinder
Scholar. This study confirmed that the identified hits were
not previously reported elsewhere for the activation of
SIRT1. These compounds remain virtually identified and
the experimental verification of these compounds will be
required to confirm their activation profiles.
Conclusions and future directions
SIRT1 is an emerging chemotherapeutic drug target. To
date, there is lack of 3D structural detail; hence ligand-
based approaches have been applied to define the critical
chemical fragments and pharmacophoric features for
SIRT1 activators. BMs, derived based on the 2D molecular
properties and fingerprints, were found to effectively dis-
criminate highly active from least active activators. Since
the training set design and choice of fingerprints critically
affects the predictive ability of QSAR models, model
development and validation involved the exploration of 12
different fingerprint types with diameters of 4, 6, 8, and 10
which resulted in a total of 48 BMs. The best Bayesian
model BM1, prioritized using average total accuracy and
positive recall, was derived using ECFC_10 and a few
global descriptors on a training set. This model demon-
strated good discriminant ability in general; with excellent
discriminant statistics for the training set (total accuracy
and positive recall) and a good predictive ability of test set
(total accuracy and positive recall). With such encouraging
results, the model was used to screen a drug-like database
and several compounds were highlighted as potentially
potent SIRT1 activators. To confirm these 2D conforma-
tions present in the BM, a 3D qualitative pharmacophore
model was used to confirm the existence of critical
chemical features that would enhance the SIRT1 activator
activity of lead compounds. Ten quantitative Hypos were
generated based on six known activators, and Hypo2 was
selected as the best Hypo based on its ability to discrimi-
nate between active from moderately/least active activators
of SIRT1. The BM1 (Bayesian model) and the Hypo2
(qualitative pharmacophore model) were used as query in
virtual screening of a drug-like database. A total of 196
compounds from drug-like databases contained similar
chemical fragments and features present in BM1 and
Hypo2. These 196 compounds were subjected to a DFT
study in order to determine the reactivity of the com-
pounds. Finally 16 compounds were selected as lead acti-
vators of SIRT1. The knowledge of 2D and 3D structural
relationships has the potential to accelerate the discovery of
SIRT1 activators. The approach described in this study can
be used to determine the functional characteristics of
SIRT1 activators. Finally, we suggest that the generated
BM and pharmacophore models offer an alternative way to
screen the various chemical databases and to design novel
scaffolds for SIRT1 activators.
Associated content
Supporting information
Supporting tables with ROC scores and the best split values
of the 48 BMs, the statistical values for the 9 best BMs, the
statistical values of Bayesian BM1 model, the details of the
top 10 Hypos generated using Hip-Hop, the percentage
comparison for the number of molecules screened from
each Hypo, the distance between every two pharmacophore
features present in Hypo2, the orbital energy values of 44
SIRT1 activators and the orbital energy values of 16 hit
lead compounds.
Acknowledgments This work was supported by the Basic Science
Research Program (2012R1A1A4A01013657), Pioneer Research
Center Program (2009-0081539), the Management of Climate Change
Program (2010-0029084) through the National Research Foundation
of Korea (NRF) funded by the Ministry of Education, and the Next
Generation BioGreen 21 Program (PJ009486) from Rural Develop-
ment Administration (RDA) of Republic of Korea.
Conflict of interest The authors declare no competing financial
interests.
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