<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">NS</journal-id><journal-title-group><journal-title>Natural Science</journal-title></journal-title-group><issn pub-type="epub">2150-4091</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ns.2012.412A139</article-id><article-id pub-id-type="publisher-id">NS-26129</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Biomedical&amp;Life Sciences</subject><subject> Chemistry&amp;Materials Science</subject><subject> Earth&amp;Environmental Sciences</subject><subject> Medicine&amp;Healthcare</subject><subject> Physics&amp;Mathematics</subject></subj-group></article-categories><title-group><article-title>
 
 
  Discovery and validation of potential drug targets based on the phylogenetic evolution of GPCRs
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>ie</surname><given-names>Yang</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Sen</surname><given-names>Li</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Tong-Yang</surname><given-names>Zhu</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Xiao-Ning</surname><given-names>Wang</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Zhen</surname><given-names>Zhang</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>State Key Laboratory of Pharmaceutical Biotechnology, College of Life Sciences, Nanjing University, Nanjing, China;</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>yangjie@nju.edu.cn(IY)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>31</day><month>12</month><year>2012</year></pub-date><volume>04</volume><issue>12</issue><fpage>1109</fpage><lpage>1152</lpage><history><date date-type="received"><day>8</day>	<month>October</month>	<year>2012</year></date><date date-type="rev-recd"><day>10</day>	<month>November</month>	<year>2012</year>	</date><date date-type="accepted"><day>23</day>	<month>November</month>	<year>2012</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
   Target identification is a critical step following the discovery of small molecules that elicit a biological phenotype. G-protein coupled recaptors (GPCRs) are among the most important drug targets for the pharmaceutical industry. The present work seeks to provide an in silico model of known GPCR protein fishing technologies in order to rapidly fish out potential drug targets on the basis of amino acid sequences and seven transmembrane regions (TMs) of GPCRs. Some scoring matrices were trained on 22 groups of GPCRs in the GPCRDB database. These models were employed to predict the GPCR proteins in two groups of test sets. On average, the mean correct rate of each TM of 38 GPCRs from two test sets (S<sup>T</sup><sub>23</sub> and S<sup>T</sup><sub>24</sub>) was found 62% and 57.5%, respectively, using training set 18 (S<sup>L</sup><sub>D18</sub>); the mean hit rate of each TM of 38 GPCRs from S<sup>T</sup><sub>23</sub> and S<sup>T</sup><sub>24</sub> was found 68.1% and 64.7%, respectively. Based on the scoring matrices of PreMod, the mean correct rate of each TM of GPCRs from S<sup>T</sup><sub>23</sub> and S<sup>T</sup><sub>24</sub> was found 62% and 62.04%, respectively; the mean hit rate of each TM of GPCRs from S<sup>T</sup><sub>23</sub> and S<sup>T</sup><sub>24</sub> was found 67.7% and 68.0%, respecttively. The means of GPCRs in S<sup>T</sup><sub>23</sub> based on S<sup>L</sup><sub>D18</sub> is close to those based on PreMod; whereas the means of GPCRs in S<sup>T</sup><sub>24 </sub>based on S<sup>L</sup><sub>D18</sub> is less than those based on PreMod. Moreover, the accuracy (“2”) and validity (“2 + 1”) rates of prediction all seven TMs of 38 GPCRs by the scoring matrices of PreMod are more than those by S<sup>L</sup><sub>D18</sub>, S<sup>L</sup><sub>A14</sub> and S<sup>L</sup><sub>A3</sub>; whereas the hit rates (94.74% and 97.37%) by PreMod are less than those of S<sup>L</sup><sub>A3</sub> but bigger than those of S<sup>L</sup><sub>D18</sub> and S<sup>L</sup><sub>A14</sub>, respectively. This is the reason that we choose PreMod to predict some potential drug targets. 22 GPCR proteins in the sense chain of chromosome 19 constructing validation set were predicted and validated by PreMod whose hit rate is up to 90.91%. Further evaluation is under investigation.   
  
 
</p></abstract><kwd-group><kwd>Pharmaceutical Targets for Drug Development; G-Protein Coupled Receptors; Scoring Matrices; Hit Rates</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. INTRODUCTION</title><p>G-protein coupled receptors (GPCRs) are among the most important drug targets for the pharmaceutical industry [<xref ref-type="bibr" rid="scirp.26129-ref1">1</xref>]. More than 30% of all marketed therapeutics interacts with them. GPCRs are integral membrane proteins that possess seven membrane-spanning domain or transmembrane helices with the N terminal of these proteins located in extracellular and the C-terminal extended in the cytoplasm. They comprise a large protein family of transmembrane receptors that sense molecules outside the cell and activate inside signal transduction pathways and, ultimately, cellular responses. The heterotrimeric G proteins (guanine nucleotide-binding proteins) are signal transducers, attached to the cell surface plasma membrane, that connect receptors to effectors and thus to intracellular signaling pathways [2,3]. The extracellular signals are received by GPCRs that activate the G proteins, which communicate signals from many hormones, neurotransmitters, chemokines, and autocrine and paracrine factors by several distinct intracellular signaling pathways [<xref ref-type="bibr" rid="scirp.26129-ref2">2</xref>]. These pathways interact with one another to form a network that regulates metabolic enzymes, ion channels, transporters, and other components of the cellular machinery controlling a broad range of cellular processes, including transcription, motility, contractility, and secretion. These cellular processes in turn regulate systemic functions such as embryonic development, gonadal development, learning and memory, and organismal homeostasis [<xref ref-type="bibr" rid="scirp.26129-ref2">2</xref>]. G protein-dependent and G protein-independent pathways each have the capacity to initiate numerous intracellular signaling cascades to mediate these effects [<xref ref-type="bibr" rid="scirp.26129-ref4">4</xref>]. G proteins are GTPases (guanosine triphosphatases) that cycle between a GDP-bound form and a GTP-bound form [<xref ref-type="bibr" rid="scirp.26129-ref5">5</xref>]. The GTP-bound G protein is an active form that interacts with downstream effectors and transmits signals, during which the bound GTP is often hydrolyzed to GDP and the G protein recycles into the inactive GDP-bound form [<xref ref-type="bibr" rid="scirp.26129-ref5">5</xref>]. The heterotrimeric G protein complex comprises a Gα subunit, of which there are 4 main families (Gαs, Gαi/o, Gαq/11, and Gα12/13), coupled to a combination of Gβ and Gγ subunits, of which there exist 6 and 12 members, respecttively [2,4]. Gα subunit binds to guanine nucleotides while Gβγ subunits cannot be dissociated under nondenaturing conditions. The activity of G proteins is regulated mainly through three classes of regulatory proteins: GTPase-activating proteins (GAPs), guanine nucleotideexchange factors (GEFs), and guanine nucleotide-dissociation inhibitors (GDIs) [<xref ref-type="bibr" rid="scirp.26129-ref6">6</xref>]. Upon activation, the GTPbound Gα subunit dissociates from Gβγ subunits, and serves as the major signaling messenger by interacting with its signal acceptors (downstream effectors) [<xref ref-type="bibr" rid="scirp.26129-ref2">2</xref>].</p><p>Mammalian GPCRs constitute a superfamily of diverse proteins with hundreds of members [7,8]. GPCRs can be grouped into 6 classes based on sequence homology and functional similarity [9,10]: Class A (Rhodopsin-like receptors) [<xref ref-type="bibr" rid="scirp.26129-ref11">11</xref>], Class B (Secretin receptor family) [<xref ref-type="bibr" rid="scirp.26129-ref12">12</xref>], Class C (Metabotropic glutamate/pheromone receptors) [<xref ref-type="bibr" rid="scirp.26129-ref13">13</xref>], Class D (Fungal mating pheromone recaptors) [<xref ref-type="bibr" rid="scirp.26129-ref14">14</xref>], Class E (Cyclic AMP receptors) [<xref ref-type="bibr" rid="scirp.26129-ref15">15</xref>], and Class F (Frizzled/Smoothened, F/S) [16,17]. GPCRs act as receptors for a multitude of different signals [<xref ref-type="bibr" rid="scirp.26129-ref8">8</xref>]. One major group, referred to as chemosensory GPCRs (csGPCRs), is receptors for sensory signals of external origin that are sensed as odors [18,19], pheromones, or tastes [<xref ref-type="bibr" rid="scirp.26129-ref20">20</xref>]. Most other GPCRs respond to endogenous signals, such as peptides, lipids, neurotransmitters, or nucleotides [21,22]. These GPCRs are involved in numerous physiological processes, including the regulation of neuronal excitability, metabolism, reproduction, development, hormonal homeostasis, and behavior [<xref ref-type="bibr" rid="scirp.26129-ref8">8</xref>]. A characteristic feature of GPCRs differentially expressed in many cell types in the body, together with their structural diversity, has proved important in medicinal chemistry. GPCRs are involved in many diseases, and are also the target of around half of all modern medicinal drugs [<xref ref-type="bibr" rid="scirp.26129-ref23">23</xref>]. Of all currently marketed drugs, &gt;30% are modulators of specific GPCRs [<xref ref-type="bibr" rid="scirp.26129-ref24">24</xref>]. However, only 10% of GPCRs are targeted by these drugs, emphasizing the potential of the remaining 90% of the GPCR superfamily for the treatment of human disease [<xref ref-type="bibr" rid="scirp.26129-ref8">8</xref>].</p><p>Additionally, Celera’s initial analysis of the human genome found 616 GPCRs [<xref ref-type="bibr" rid="scirp.26129-ref25">25</xref>] and Takeda et al. [<xref ref-type="bibr" rid="scirp.26129-ref26">26</xref>] found 178 intronless nonchemosensory GPCRs, whereas the International Human Genome Sequencing Consortium reported a total of 569 “rhodopsin-like” (i.e., Class A) GPCRs [<xref ref-type="bibr" rid="scirp.26129-ref27">27</xref>]. Vassilatis DK and co-worker conducted a comprehensive analysis and reported that the repertoire of GPCRs for endogenous ligands consists of 367 receptors in humans and 392 in mice. Included here are 26 human and 83 mouse GPCRs not previously identified [<xref ref-type="bibr" rid="scirp.26129-ref8">8</xref>]. Phylogenetic analyses cluster 60% of GPCRs according to ligand preference, allowing prediction of ligand types for dozens of orphan receptors. Expression profiling of 100 GPCRs demonstrates that most are expressed in multiple tissues and that individual tissues express multiple GPCRs. Over 90% of GPCRs are expressed in the brain. Strikingly, however, the profiles of most GPCRs are unique, yielding thousands of tissueand cell-specific receptor combinations for the modulation of physiological processes.</p><p>Moreover, diverse members of GPCR superfamily participate in a variety of physiological functions and are major targets of pharmaceutical drugs. GPCRs are one of the most important target classes in pharmacology and are the target of many blockbuster drugs [<xref ref-type="bibr" rid="scirp.26129-ref28">28</xref>]. The presumably α-helical transmembrane regions (TMs) of GPCRs are probably arranged with similarity to bacteriorhodopsin (brh) [<xref ref-type="bibr" rid="scirp.26129-ref29">29</xref>]. Except for low-resolution electron diffraction [30,31] and high resolution X ray-based crystallography [<xref ref-type="bibr" rid="scirp.26129-ref32">32</xref>]<sup> </sup>of brh, the first crystal structure of a mammalian GPCR, bovine rhodopsin [<xref ref-type="bibr" rid="scirp.26129-ref33">33</xref>], was solved. In 2007, the first structure of a human GPCR, β<sub>2</sub>-adrenergic receptor, was solved [34,35]. In particular, GPCRs are of enormous importance for the pharmaceutical industry because 52% of all existing medicines act on a GPCR [<xref ref-type="bibr" rid="scirp.26129-ref36">36</xref>]. Very well-known therapeutic drugs such as β-blockers and anti-histamines act on GPCRs. This explains why so many three-dimensional models of GPCRs have been built. Early structural models, such as HIV-1 co-receptor CCR5 (chemokine receptors) [37,38], and human thromboxane receptor [<xref ref-type="bibr" rid="scirp.26129-ref39">39</xref>], are based on the atomic coordinates of the brh structure; some models, e.g. human ADP receptor (Purinergic Receptor P2Y12) [<xref ref-type="bibr" rid="scirp.26129-ref40">40</xref>], are constructed by homology modeling using bovine rhodopsin as a template. All of these modeling studies combined with bioinformatics and chemoinformatics become amenable to the rational design of novel drugs targeting GPCRs in the human genome [<xref ref-type="bibr" rid="scirp.26129-ref28">28</xref>].</p><p>These models would contribute to a better understanding of the structure and the function of GPCRs, as well as the ligand-receptor interaction. The present study is devoted to use bioinformatics and computational modeling to build up GPCRs’ theoretical modeling and folding fashions, for prediction of unknown GPCRs in the human genome and studying the interaction between GPCRs ant their ligands at the molecular level.</p></sec><sec id="s2"><title>2. MATERIALS AND METHODS</title><p>Structural data of G-protein coupled receptors (GPCR) were taken from a new release of the GPCRDB v.7.6 (http://www.gpcr.org/7tm/htmls/entries.html) based on the latest UniProtKB (Universal Protein Knowledgebase) release of 15-May-2006 (http://www.ebi.ac.uk/swissprot/; http://au.expasy.org/)</p><p>, which contain approximately 764 proteins. Their GPCR family profiles are updated. Their amino acid sequences were from Genbank (http://www.ncbi.nlm.nih.gov/Genbank/index.html).</p><p>and SWISSPROT. The secondary structure of protein residues corresponds to the DSSP method and their seven TMs were determined based on the GPCR superfamily.</p><sec id="s2_1"><title>2.1. Data Partitioning</title><p>The transmembrane domain regions of 764 known GPCRs were each used as a query I TBLASTEN searches of the National Center for Biotechnology Information human genome database. Sequences were retrieved from the National Center for Biotechnology Information with the accession numbers (Appendix 1). GPCR Class A, B, and C Hidden Markov Model models were also used as queries to search the International Protein Index proteome database [<xref ref-type="bibr" rid="scirp.26129-ref8">8</xref>]. Grouping of the samples was based on the phylogenetic analysis results of Vassilatis and co-worker. Data sets were partitioned into three sets: Training, test, and validation sets. Although protein prediction methodology is almost always reported in terms of training and test sets only, we withheld an external validation set in order to provide an additional rigorous check on model quality. We feel this is necessary since a high statistical correlation on the training and test sets does not necessarily indicate a highly predictive model [<xref ref-type="bibr" rid="scirp.26129-ref41">41</xref>]. To properly partition our data sets so that they each reflect the makeup of the original data set as much as possible, we take into account the distribution of both feature diversity and biological activity as we form our training, test, and external validation sets. In this way, we maintain the original proportions of categorical bins and structural diversity in each of the three sets.</p><p>Training dataset is composed of 22 groups in three types of GPCRs (<xref ref-type="fig" rid="fig1">Figure 1</xref>) as follows: GPCRs from human different chromosomes (<img src="3-8301821\ad28c5e6-da43-42ea-bc41-898528ef9711.jpg" />), from human same chromosomes (<img src="3-8301821\21742862-a843-4938-b1f4-9618576b2a61.jpg" />) (such as chromosome 3 and 11), and from different species, based on the phylogenetic trees [<xref ref-type="bibr" rid="scirp.26129-ref8">8</xref>]. The first contains five classes: Class A (<img src="3-8301821\c25f7baf-6ca1-4519-a936-70290a6f5242.jpg" />), B (<img src="3-8301821\4b4c8a81-9da8-4c79-9592-af404bf3bc71.jpg" />), C (<img src="3-8301821\2a23d3d6-f89b-4742-bcf3-d8dd78454ab9.jpg" />), F/S (<img src="3-8301821\e8721da8-5dbd-4f3d-8538-9d28b71e3dc0.jpg" />), and other (<img src="3-8301821\e1b09758-e097-4cc9-befa-c53a9f6c4975.jpg" />). Class A consists of four groups: Group 1 (<img src="3-8301821\e137d3b9-4031-4285-a30d-e5edaf0fb26f.jpg" />), Group 2 (<img src="3-8301821\3c6a0a41-5f69-49bf-b554-f147855429ed.jpg" />), Group 3 (<img src="3-8301821\075a6b54-7628-4e77-9863-bc81f219138a.jpg" />) and Group 4 (<img src="3-8301821\f64196d0-0c59-4f2e-a758-111cf8327c93.jpg" />), which is abstracted into Group 14 (<img src="3-8301821\a3b7f232-7081-44c0-ae2a-1da58c0c1aa3.jpg" />). Class B, C, and F/S each contain one group (<img src="3-8301821\afeafaea-dfaa-442b-a0a0-53045cf721ae.jpg" />, <img src="3-8301821\ba8f0a6a-7124-4c0c-8772-89e652c17934.jpg" />, and<img src="3-8301821\1a07c31b-fc06-43d3-9ed3-e848bdfd7de7.jpg" />). The others fall into nine groups<img src="3-8301821\7404e0e8-a2cf-493f-ae36-c9cf7cf3d526.jpg" />, which forms one group 17<img src="3-8301821\80e39cdc-d918-444c-a5af-a654f7a29378.jpg" />. The first is also extracted into one group 18<img src="3-8301821\02a4274d-1d9d-4d67-b7c8-dd0e283d2730.jpg" />. The second consists of</p><p>two groups: chromosome 3 (group 19,<img src="3-8301821\ce4cd57e-3428-4729-bb10-5a8d29ce94cb.jpg" />) and chromosome 11 (group 20,<img src="3-8301821\4fe830c2-2261-4306-a3cf-1ad8375cf936.jpg" />). The third only includes one group 21 (<img src="3-8301821\c0b52d38-ea89-4a58-bcce-3c317b3d79cd.jpg" />), consisting of Bovine, Danre, Drome, Chick, Anoga, Dicla, Eisfo, Equas, Eulfu, Pantr, Halsh, besides human, consisting of 3, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, and 2 GPCRs, respectively. All above 22 groups make up of the training dataset (learning dataset,<img src="3-8301821\b0b72ce8-d84b-44d3-9e8c-0b2744363f04.jpg" />).</p><p>The following test datasets <img src="3-8301821\2f6653a2-810c-4fa4-acd2-c563a39516a0.jpg" /> contains two groups of GPCRs, group 23 from human (38 GPCRs,<img src="3-8301821\931fb77f-4447-491f-80a8-63dc372b5115.jpg" />) and group 24 <img src="3-8301821\6adc505a-dda7-4e89-acf6-c67279fc38e0.jpg" /> from different species, consisting of 3 bovine, 3 canfa, 3 drome, 3 chick, 3 mouse, 1 Arath, 1 macmu, 1 Mesbi, and 1 Micoh GPCRs, respectively, besides 19 human GPCRs (Appendix 1). Here,</p><p><img src="3-8301821\65f24be9-2b87-4fe8-97fd-4692eddec4f2.jpg" />,</p><p><img src="3-8301821\4211c9da-ad00-45f1-abac-9ca51097a5b9.jpg" />,</p><p><img src="3-8301821\f82b5463-79d0-4624-b8d2-04f054d3a682.jpg" />, <img src="3-8301821\1dc25864-ea68-4dcc-aa8c-437fe5e56c8e.jpg" />,</p><p><img src="3-8301821\af5961d3-6edc-45a8-9f77-1d92405837fe.jpg" />, <img src="3-8301821\61de5764-8f7d-4a4e-9654-64ce6f10ad73.jpg" />,</p><p><img src="3-8301821\1914df33-8e59-48fe-a600-5d008a4d5de7.jpg" />and</p><p><img src="3-8301821\581a4918-26c7-4ed7-a5f5-9c96bc51f677.jpg" />.</p><p>The validation set involves 22 GPCRs from the sense chain of chromosome 19.</p></sec><sec id="s2_2"><title>2.2. Sequence Analysis of GPCRs using Bioinformatics</title><sec id="s2_2_1"><title>2.2.1. The Scoring Matrices of Training Sets</title><p>Take Group 1 of Class A for an example. In order to represent the GPCRs’ TM patterns, a representative nonredundant set of high resolution GPCRs’ TMs are chosen as previously reported to build a training set (Tables 1 and 2). The most consistent sequences are picked up to constitute a scoring matrix by alignment that would be used to predict the TM regions. The amino acid sequences of the seven TMs of GPCRs were extracted and aligned using ClustalW; the TM regions cluster in one fragment (motif) which are about 12, 11, 13, 14, 10, 10, and 12 amino acid residues for TM1-TM7 of the Group 1 (<xref ref-type="table" rid="table2">Table 2</xref>), respectively; and then their coding regions of such amino acid fragments were chosen to constitute the scoring matrix, which contains 4 types of nucleotides (<xref ref-type="fig" rid="fig2">Figure 2</xref>).</p><p>Take TM1 of GPCRs in Group 1 of Class A for an example. There are 42 GPCR proteins consisting of the training set after alignment (<xref ref-type="table" rid="table1">Table 1</xref>). <xref ref-type="fig" rid="fig2">Figure 2</xref> means the scoring matrix, which was generated by assigning a value of the stimulatory potential to each of the 4 defined nucleotides in each position of <xref ref-type="table" rid="table1">Table 1</xref>. Based on the matrix, we designed a simple algorithm to evaluate the relationship significance of any sequence to the GPCRs’ TM patterns. To each nucleotide <img src="3-8301821\5eda2274-9b19-4866-82d0-1632e2c67150.jpg" /> (A, T, G, and C) from those 42 proteins <img src="3-8301821\68f82736-fdfe-44de-9af7-00763d19913f.jpg" /> of TM1 of group 1 (<xref ref-type="table" rid="table2">Table 2</xref>), the symbol <img src="3-8301821\5e2c6ab1-928c-43a1-a0a5-e8f628ec4489.jpg" /> stands for how many times it takes place in each position<img src="3-8301821\4ebcd31b-5737-42aa-8384-ee8277f11736.jpg" />, which was calculated as follows:<img src="3-8301821\7ff5d8e3-9484-4ae8-a3d0-975c65f2f69b.jpg" />. The score <img src="3-8301821\1830fc92-8b44-4677-9787-60bd1e7ec9fd.jpg" /> of this nucleotide denotes the proportional (weighting) it takes place in each position<img src="3-8301821\41a84665-d8c4-4881-b0b7-674fdf74d111.jpg" />, which was calculated as follows:<img src="3-8301821\cc4e6c78-63d1-49d6-b555-abaa0400c650.jpg" />. Take the adenosine</p><p>(A) for example. Based on the <xref ref-type="table" rid="table1">Table 1</xref>, the times of adenosine is <img src="3-8301821\659e5c3d-ac97-4112-bafe-f0433630213d.jpg" /> at the position of <img src="3-8301821\aed930dc-d10a-4c2f-98f0-beeb3228ea4c.jpg" /> respecttively, and the sum of four nucleotides in the training set is 1512<img src="3-8301821\e780636e-841d-44d6-b033-5ad8590d83fd.jpg" />. So, the scores <img src="3-8301821\988253e6-5fef-499e-9de4-7b840cda5bbc.jpg" /> of adenosine is <img src="3-8301821\293a19ce-0f03-47af-a464-b33187ce9baf.jpg" /> at the position of <img src="3-8301821\6e4a4e33-731b-402e-9f98-1e2aef6c1248.jpg" /> respectively, whereas it is 0 at other position because it does not appear (<xref ref-type="fig" rid="fig2">Figure 2</xref>). The rest (Thymine, Cytidine, and Guanosine) may be deduced by analogy. The value of the scoring matrix is 1.</p></sec><sec id="s2_2_2"><title>2.2.2. Test Sets</title><p>According to the set theory of mathematics [<xref ref-type="bibr" rid="scirp.26129-ref42">42</xref>], the GPCRs chosen above consist of different training sets<img src="3-8301821\7b192f8c-2764-47ab-9175-6efec9bc32eb.jpg" />, <img src="3-8301821\19310518-dae9-4711-8b38-f6db085eaa9d.jpg" />, <img src="3-8301821\f6dd211e-9343-4b2f-b117-9d8439c93d1e.jpg" />, <img src="3-8301821\e0a6ae4e-e8a8-49db-b9dd-a24947631ca1.jpg" />, <img src="3-8301821\af48958f-2c45-43d5-9899-bce410d290c5.jpg" />, etc, which composed a union</p><p><img src="3-8301821\9462b9c8-1b84-4b1e-b0b4-faa14873800c.jpg" />, and<img src="3-8301821\0aa10dbd-ee93-4eb2-8825-c0d31b68d348.jpg" />.</p><p>Therefore, the test set <img src="3-8301821\f60b976e-7819-4bc8-9f29-4b7c1570256f.jpg" /> (<xref ref-type="table" rid="table3">Table 3</xref>) comes from the complement of <img src="3-8301821\4b98432f-72e5-42d8-9075-3adecb8c66eb.jpg" /> for GPCRs aggregate (Appendix 1).</p><p>According to our previous methods [40,43], we defined the coding sequence (CDS) of GPCRs’ each TM as TM-CDS unit composed of <img src="3-8301821\675a43bf-f249-48f6-8c32-78c9915e36e5.jpg" /> nucleotides. At first, the TM-CDS units are obtained using the sliding window method one by one from 5’-terminal of GPCRs’ CDS to 3’-teminal:<sup> </sup>A sequence of <img src="3-8301821\962450a1-3bdb-432a-8171-f9d82fad3345.jpg" /> nucleotides gives rise to <img src="3-8301821\63d80c91-44d2-4bd7-b580-60a07d1eefc3.jpg" /> TM-CDS units. For example, the coding sequences of TM1 of GPCRs in group 1 are 12 &#215; 3 nucleotides, namely<img src="3-8301821\c50825dd-5229-4b10-80da-401be4adf796.jpg" />.</p></sec><sec id="s2_2_3"><title>2.2.3. Validation Set</title><p>Similarly, we calculate the total scores of the coding sequences of 22 GPCRs located at the sense chain of chromosome 19 using the sliding window method.</p></sec><sec id="s2_2_4"><title>2.2.4. Assessment of Model Quality</title><p>In this study, training model quality is simply the percent correct classification (binning) of GPCRs’ TM segments for the test set [<xref ref-type="bibr" rid="scirp.26129-ref41">41</xref>]. The overall predictive power of a given model is the percent correct classification for the test set (%test) and for the external validation set (%validation), where the external validation set represents native holdout data. More extensive model assessment was accomplished by a “dynamic partitioning” procedure, which provides a no error rate of the test and external validation sets.</p></sec><sec id="s2_2_5"><title>2.2.5. Statistics</title><p>Data are expressed as mean&#177;standard deviation (S.D.) through this paper. Statistical analyses were performed with F-test by one-way analysis of variance (abbreviated one-way ANOVA) and by t-test between the means of two groups of the samples. Data was considered significant for <img src="3-8301821\3dcb3f40-e0c2-4126-a179-6b2d751031e1.jpg" /> at 95 confidence limit [<xref ref-type="bibr" rid="scirp.26129-ref44">44</xref>]. Tests for normality were performed with Shapiro-Wilk test because of the number of samples less than 2000 [<xref ref-type="bibr" rid="scirp.26129-ref45">45</xref>]. The normality of the data was tested by the Shapiro-Wilk statistic. All statistical testing was conducted at significance level 0.10 and all confidence intervals had confidence level 0.90 unless otherwise noted. All tests and confidence intervals were two-sided. Confidence intervals for normal data were constructed from analysis of covariance models [<xref ref-type="bibr" rid="scirp.26129-ref45">45</xref>]. Here, α = 0.10 requests 90% confidence limits. The default value is 0.05. One wayANOVA, Test of Homogeneity of Variances and Multiple comparisons (LSD and Tamhane’s T2), and tests for normality were performed using SPSS version 11.5 software.</p></sec><sec id="s2_2_6"><title>2.2.6. The Prediction Model Algorithm</title><p>In general, our prediction model (PreMod) method employs the scoring matrices combined with descriptor</p><table-wrap-group id="1"><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> TM1 sequence alignment of GPCRs in group 1 of class A by clustal W</title></caption></table-wrap-group><table-wrap-group id="2"><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> The amino acid sequence length and the sample number of the scoring matrix in the training datasets after sequence alignments</title></caption></table-wrap-group><p>selection procedures (seven TMs) that seek to find the optimal subset of the scoring matrices from the original scoring matrix manifold. Partitioning data sets into training, test, and external validation sets rigorously assesses model quality. We extend this methodology by implementation of the dynamic repeating assessment. A flowchart of the prediction model algorithm is provided in <xref ref-type="fig" rid="fig3">Figure 3</xref>, which involves the following steps. 1) Divide each data set into two parts: One used to build models, the other to validate models (external validation set); in our implementation, the external validation set is selected to have a high level of diversity; 2) Further partition the 80% identified for model building to form two more sets: Training (80%) and test (20%) sets; 3) Select seven TMs of GPCRs as descriptors based on phylogenetic evolution of the training set with or without crossvalidation procedure (described above); 4) Calculate the score <img src="3-8301821\6251467a-f406-4f90-98c7-1df0cfddb848.jpg" /> of the training set to construct an optimized subset of the scoring matrix based on the CDS of GPCRs’ 7 TMs; 5) Predict the test set target values using the scoring matrix and calculate the percent correct classification of the test set (%test); 6) Merge the training and test sets, and build a new prediction model using statistic analyses; 7) Predict external validation set values using the prediction model (PreMod), and calculate the percent correct classification of the external validation set (%validation); 8) Repeat steps 1-8 a preset number of times (22 times); 9) Assess each model by the accuracy described above, and generate test and external validation veracity.</p><table-wrap-group id="3"><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> The scores and the validity of prediction each transmembrane region of GPCRs in test sets by the scoring matrices of training set 18, 14 and 3</title></caption></table-wrap-group></sec></sec></sec><sec id="s3"><title>3. RESULTS</title><p>In what follows, we present three primary results, based on application of the methods described above.</p><sec id="s3_1"><title>3.1. Phylogenetic Analysis and Structural Evolution</title><p><xref ref-type="fig" rid="fig1">Figure 1</xref> displays the grouping frame of the training datasets (learning dataset,<img src="3-8301821\f9b8904c-4c08-4bc2-a806-a26f4c1c0554.jpg" />), where 22 groups belong to three types. Of the different chromosome type, there are five classes: Class A (Groups 1-4 and Group 14), Class B (Group 15), Class C (Group 16), Class F (Group 22), and Class O (Groups 5-13 and Group 17). Group 1<img src="3-8301821\f4cdfd32-21ff-4913-af1f-326ebfe1b533.jpg" />, Group 2<img src="3-8301821\8f34bce8-153a-4fc2-a7b5-d79da1feee81.jpg" />, Group 3<img src="3-8301821\576b6965-38b1-4e12-be74-8753d9ef2d0f.jpg" />, Group 4<img src="3-8301821\5ecc8997-3e1c-41d1-96a2-c5cf3d600c20.jpg" />, and Group 14 <img src="3-8301821\d2e62ba4-60e9-469a-9ae9-bdb2cb569440.jpg" /> of Class A are composed of 44, 38, 32, 20, and 44 GPCRs, respectively. Class B<img src="3-8301821\3050c4e8-f606-442f-847d-a72317ddcf89.jpg" />, C<img src="3-8301821\13184402-9b88-4569-b4e7-e540f84ac708.jpg" />, and F/S <img src="3-8301821\39f448a5-21b9-42aa-99db-f50f0a4a3059.jpg" /> contain 13, 10, and 9 GPCRs, respectively. Groups <img src="3-8301821\a6ade076-738f-41c8-a46a-7dab7ac5f8c7.jpg" /> and 13 <img src="3-8301821\4c8c9891-f7d8-4195-8f07-b5ad5ba2eb99.jpg" /> consist of 39, 24, 33, 11, 48, 40, 44, 20, and 20 GPCRs, respectively; while Group 17 <img src="3-8301821\ee334892-7922-4ad2-84ee-82f9d27f847f.jpg" /> includes 33 GPCRs. Group 18<img src="3-8301821\84c98315-6e4d-43d2-b79b-3876d80f7025.jpg" />, Group 19<img src="3-8301821\aba0de6b-887d-4e39-ad35-52e9a5d1a0ab.jpg" />,Group 20<img src="3-8301821\285d1b28-f597-4e15-b207-3270735a8ab5.jpg" />, and Group 21 <img src="3-8301821\1617805b-00b0-4552-aeec-f266b526301f.jpg" /> contain 39, 27, 22, and 20 GPCRs, respectively. The following test datasets <img src="3-8301821\7e154cbb-5d33-44cf-9469-8c220f87f334.jpg" /> are composed of two groups: Group 23 <img src="3-8301821\167f3a5b-8845-4a1c-a983-041c37cdf498.jpg" /> from human and Group 24 <img src="3-8301821\3abed258-68dd-45f3-83ca-03746e7f5017.jpg" /> from different species (Appendix 1, <xref ref-type="table" rid="table3">Table 3</xref>). Here, <img src="3-8301821\3832dca7-fa44-4a9f-ab1e-0d44a99e1973.jpg" />, <img src="3-8301821\de741cc5-d105-48b2-8b15-2fc32a259ed2.jpg" />,</p><p><img src="3-8301821\24b8424e-698a-4a43-9bd1-45549a2c5549.jpg" />, and<img src="3-8301821\d6b0fb7c-ac00-499d-91ea-5b8e5c1757e7.jpg" />;<img src="3-8301821\75ae64f7-ccc2-4fc4-8843-0a97ec2e4e5d.jpg" />, <img src="3-8301821\f993127e-a936-451a-b2e0-d11751a54dac.jpg" />, <img src="3-8301821\52be525a-2f7a-4d57-96ae-eb51535ad03e.jpg" />, <img src="3-8301821\29582a50-2f5c-45bf-a577-9789dcc0ce35.jpg" />, <img src="3-8301821\7bb1b02d-3dd0-4181-b224-e6785ca2bd33.jpg" />, <img src="3-8301821\3b0f57f6-cf7f-45c0-b01f-509f7867b3a7.jpg" />, <img src="3-8301821\468ccf8f-6565-4464-9ee9-c7b85b01942f.jpg" />, <img src="3-8301821\4249f7f3-9426-417e-a3c5-672ada28aa0f.jpg" />and<img src="3-8301821\ed9936f3-6be7-4a2c-bef7-5e997cffd089.jpg" />;<img src="3-8301821\097005f0-23da-4869-8786-780760388d89.jpg" />, <img src="3-8301821\b0d09d4f-f76e-4d02-92e8-8ba8db33df1e.jpg" />, <img src="3-8301821\d5d9656e-e8df-4e2f-994d-1ead6bba82c3.jpg" />, <img src="3-8301821\d1e8e6bb-4a50-43b8-88d6-76b3a07b977d.jpg" />and<img src="3-8301821\7324c28b-1d06-4e4f-93f1-4795bf52282e.jpg" />.</p><p><xref ref-type="table" rid="table1">Table 1</xref> lists the amino acid sequences of TM1 in Group 1 GPCRs, the common 12-residue regions of TM1 by alignment, and the corresponding coding sequences consisting of 36 nucleotides. <xref ref-type="table" rid="table2">Table 2</xref> displays the amino acid sequence length and the sample number consisting of the scoring matrix of each transmembrane region of GPCRs in the training datasets after sequence alignments. Different the training sets, different the amino acid sequence length and the sample number consisting of the scoring matrix to same TMs; the same the training sets, different the amino acid sequence length and the sample number consisting of the scoring matrix to different TMs. <xref ref-type="fig" rid="fig2">Figure 2</xref> illustrates the scoring matrices of seven TMs (TM1-TM7) of GPCRs in Group 1 of Class A in the training datasets. This is the core of prediction system of GPCRs.</p></sec></sec></body><back><ref-list><title>References</title><ref id="scirp.26129-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">[1]	Hopkins, A.L. and Groom, C.R. (2002) The druggable genome. Nature Reviews Drug Discovery, 1, 727-730. 
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