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Advances in Virology logoLink to Advances in Virology
. 2014 Mar 18;2014:321974. doi: 10.1155/2014/321974

Characterization of the Protective HIV-1 CTL Epitopes and the Corresponding HLA Class I Alleles: A Step towards Designing CTL Based HIV-1 Vaccine

Sajib Chakraborty 1, Taibur Rahman 1,*, Rajib Chakravorty 2
PMCID: PMC3976937  PMID: 24744786

Abstract

Human immunodeficiency virus (HIV) possesses a major threat to the human life largely due to the unavailability of an efficacious vaccine and poor access to the antiretroviral drugs against this deadly virus. High mutation rate in the viral genome underlying the antigenic variability of the viral proteome is the major hindrance as far as the antibody based vaccine development is concerned. Although the exact mechanism by which CTL epitopes and the restricting HLA alleles mediate their action towards slow disease progression is still not clear, the important CTL restricted epitopes for controlling viral infections can be utilized in future vaccine design. This study was designed for the characterization the HIV-1 optimal CTL epitopes and their corresponding HLA alleles. CTL epitope cluster distribution analysis revealed only two HIV-1 proteins, namely, Nef and Gag, which have significant cluster forming capacity. We have found the role of specific HLA supertypes such as HLA B∗07, HLA B∗58, and HLA A∗03 in selecting the hydrophobic and conserved amino acid positions within Nef and Gag proteins, to be presented as epitopes. The analyses revealed that the clusters of optimal epitopes for Nef and p24 proteins of HIV-1 could potentially serve as a source of vaccine.

1. Introduction

Human immunodeficiency virus (HIV), a retrovirus that belongs to the Lentiviridae family, is the causative agent of acquired immunodeficiency syndrome (AIDS). HIV genome is composed of 9.8 Kb positive-sense, single-stranded RNA which is reverse transcribed by the enzyme reverse transcriptase to viral DNA upon its entry into the host cell [1]. Between the two types of HIV (HIV-1 and HIV-2), HIV-1 is more virulent and responsible for most of the HIV infections globally. Human immunodeficiency virus-1 (HIV-1) has infected more than 60 million people and caused nearly 30 million deaths worldwide [2]. In Asia, an estimated 4.9 million people were living with HIV in 2009, about the same as 5 years earlier. Most national HIV epidemics appear to have stabilized. Incidence fell by more than 25% in India, Nepal, and Thailand between 2001 and 2009. The epidemic remained stable in Malaysia and Sri Lanka during this time period. Incidence increased by 25% in Bangladesh and Philippines between 2001 and 2009 even as the countries continue to have relatively low epidemic levels [3]. Although the antiretroviral therapy has proven to be effective in controlling the infection in the developed world, only one-fourth populations in the developing world can afford these medications due to less accessibility. Consequently vast majority of people are living with a constant threat of HIV infection and death by AIDS. In this devastating situation of world AIDS epidemic, there is an urgent need of developing effective HIV vaccine as no vaccine is proved to be efficacious to control HIV infection. To combat this deadly virus, its genome, proteome, pathogenesis, and mechanisms of evasion of immune response should be studied in great detail.

HIV possesses complex RNA genome and contains nine genes which can be classified into 3 functional groups. Among these genes, Gag, Pol, and Env are structural genes, Tat and Rev are regulatory genes, whereas the rest of the genes (Vpu, Vpr, Vif, and Nef) fall into the accessory category of genes [4]. Early HIV replication cycle begins with the recognition of the target cells (mainly CD4+ T cells) by the mature virion and continues as virion core particles enters and facilitates its integration to the genomic DNA of the chromosome of the host cell. The late phase begins with the regulated expression of the integrated proviral genes and ends up with virus budding and maturation.

Gag gene encodes for 3 proteins: matrix (p17), capsid (p24), and nucleocapsid (p7) which are translated as polyproteins and later undergo a cleavage at specific site to give rise to three individual proteins. Pol gene also encodes for a polyprotein which has similar fate like Gag-poly-protein as it is also cleaved by viral protease into three different proteins: reverse transcriptase, protease, and integrase, whereas the Env gene encodes for a single glycoprotein (gp160) which later is cleaved into two proteins: surface glycoprotein gp120 and transmembrane protein gp41. Besides these some other regulatory proteins are also included in the HIV proteome such as Nef, Vpr, Tat, and Ref. In Table 1, we have collected functions of HIV proteins from Uniprot database of HIV, http://www.uniprot.org/uniprot/P04585.

Table 1.

Function of different HIV proteins.

Protein Precursor Functions
P17 Gag Matrix protein p17 has two main functions. Firstly it targets Gag-pol polyproteins to the plasma membrane by the help of a membrane-binding signal which contains myristoylated N-terminus. Secondly it plays an essential role in the nuclear localization of the viral genome.

P24 Gag Protein p24 forms the nucleocapsid that encapsulates the viral genomic RNA in the virion. The core is disassembled immediately after the entry of virion into host cell.

P7 Gag Nucleocapsid protein p7 encapsulates viral genomic RNA and hence provides protection to viral genome. It binds these RNAs through its zinc finger motifs. It also acts as a nucleic acid chaperone as it tends to facilitate the rearrangement of nucleic acid secondary structure during reverse transcription of genomic RNA.

RT
Gag-pol Reverse transcriptase/ribonuclease H (RT) is a multifunctional enzyme that facilitates the reverse transcription of viral RNA genome into dsDNA in the cytoplasm, shortly after virus entry into the cell. This enzyme also displays a DNA polymerase activity that can copy either DNA or RNA templates, and a ribonuclease H (RNase H) activity that cleaves the RNA strand of RNA-DNA heteroduplexes.

Integrase Gag-pol Integrase catalyzes integration of viral DNA into the host chromosome, by a multistep process involving DNA cutting and joining reactions.

Protease Gag-pol Cleavage of viral precursor polyproteins into mature proteins

Gp120 GP160 The surface protein gp120 (SU) facilitates the anchoring of the virus to the host target cell (CD4+) by binding to the primary receptor CD4. This interaction induces a change in the conformation exposing a high affinity binding site for a chemokine coreceptor (CXCR4 and/or CCR5) and promotes subsequent interaction between the envelope protein and CXCR4 and/or CCR5.

Tat Tat acts as a nuclear transcriptional activator of viral gene expression that is essential for viral transcription from the LTR promoter. It also directs the components of the cellular transcription machinery into the viral RNA to promote transcription by the RNA polymerase complex.

Vif It ensures the downregulation of APOBEC3G by recruiting the ubiquitin-proteasome machinery that targets APOBEC3G for degradation. It also binds to viral RNA and affects the stability of viral nucleoprotein core.

Vpr It is largely involved in the transport of the viral preintegration (PIC) complex to the nucleus during the early phase of the infection. It probably interacts with karyopherin alpha/KPNA1 and KPNA2 thereby increasing their affinity for basic-type nuclear localization signal harboring proteins such as viral matrix protein, thus facilitating the translocation of the viral proteins into the nucleus.

Vpu It promotes virion budding, by targeting human CD4 and CD317 to proteasomal degradation. CD4 degradation hinders any possible interactions between viral Env and human CD4 in the endoplasmic reticulum. It helps the proper Env assembly into virions.

Nef (1) Downregulation of surface MHC-I molecules.
(2) Downregulation of cell surface CD4 antigen. It interacts with the Src family kinase LCK and induces LCK-CD4 dissociation. Subsequently it causes clathrin-dependent endocytosis of CD4 antigen. Ultimately, the CD4 are decreased and infected cells.
(3) It decreases the number of viral receptors and hence prevents reinfection by more HIV particles.
(4) It prevents the apoptosis of the infected cell by inhibiting the Fas and TNFR-mediated death signals. It also interacts with p53 and protects the infected cell against p53-mediated apoptosis. Furthermore, it regulates the Bcl-2 family proteins through the formation of a Nef/PI3-kinase/PAK2 complex that induces phosphorylation of Bad.

High antigenic variability that results from the high mutation rate can be considered as the characteristic features of retrovirus such as HIV. This vast genetic heterogeneity of HIV not only helps the virus to evade selective pressures exerted by immune response and drug but also facilitates the viral evolution in a faster speed [5]. Phylogenetic studies showed the presence of three distinct groups: M (Major), O (Outliers), and N (non-M and non-O). M is the most predominant group of HIV-1 around the world [6]. Within the M group there are nine subtypes: A–D, F–H, J, and K. Among these, subtypes B are prevalent in most regions of the world such as USA, Europe, South East Asia, Australia, and South Africa [6].

Endogenous pathway of antigen processing and presentation is used to present endogenously synthesized cellular peptides as well as viral protein fragments via the MHC class I molecule to the cytotoxic-T-lymphocytes (CTLs). In this pathway, the proteins that are destined for the presentation are marked by the ubiquitinylation and subjected to proteolytic cleavage by the immunoproteasome. The fragments of peptides are transported to lumen of ER by the help of TAP (TAP1 and TAP2). These TAP proteins also help the loading of the short peptides with appropriate length (9 amino acids) into the groove of MHC class I molecule [7]. Although proteasome is the main player in generating the bulk of the CTL epitopes, cytosolic endopeptidases may also be involved in the production of certain CTL epitopes [8].

Peptides are typically tightly associated along their entire length in MHC class I groove. The N and C termini of the peptide are firmly H-bonded to the conserved residues of the MHC groove. The analysis of the naturally occurring peptides extracted from the MHC-peptide complex revealed that these are mostly 8-9 residues long and in certain key positions amino acids tend to be conserved within the peptide. These are called anchor positions which are proved to be essential for the binding of peptides to MHC class I molecules in allele specific manner. There are typically two (sometimes three) major anchor positions for the class I binding peptides. One is located at the C terminal end and the other one usually lies in the position 2 (P2) but also occurs in P3, 5, or 7 [7].

Cytotoxic-T-lymphocytes (CTLs) are one of the vital components of cellular immunity and play crucial role in eliminating viral infection. CTLs recognize viral antigen on the surface of virally infected cells in combination with appropriate major histocompatibility complex (MHC) molecule and exert their effect by killing the infected cells either by lysis or inducing apoptosis. Previous studies suggested that the HIV infection process can be divided into 3 stages. These are (1) acute viremia, (2) a latency period of variable time period, and (3) clinical AIDS. At the later stages of HIV infection CD4+ T cells counts drops down below 200 cells/mm3 which causes the complete collapse of immune response and consequently the opportunistic infectious agents such as Pneumocystis carinii come into the play [9]. There is now increasing body of evidence that CTLs play an important role in controlling the HIV infection. Analysis of the immune responses of the HIV infected patients revealed that antiviral CTL activity is correlated with clearance of virus particles during the acute phase of infection and a decline in the CTL activity is associated with the disease progression [9, 10]. Two types of antiviral CTL responses have been documented so far: one is classical viral epitope dependent-MHC restricted killing of virally infected cells and the other one is the noncytolytic response in which CTLs control the viral infection by inhibiting the viral replication [11]. Furthermore, studies of the SIV-macaque model, in which the administration of anti-CD8 monoclonal antibodies hinders the decline in viremia, provided strong evidence for the crucial role of CTLs in controlling HIV infection during acute phase [12]. Recently Goulder and Watkins have suggested three additional lines of evidence which signifies the potential role of CTLs in suppressing HIV infection: first they argued that specific HLA class I molecules are consistently associated with particular HIV disease outcomes. Secondly, they highlighted the fact that more rapid disease progression is observed in individuals with HLA class I homozygosity, and lastly they provided evidence that the loss of immune control over HIV infection arises when viral mutants escape CD8+ T-cell recognition [13]. All the above mentioned evidence signifies the important antagonizing role of CTL immune response in HIV disease progression.

2. Analysis of the HLA Class I Restricted CTL Epitopes in HIV Proteome

Design and development of HIV vaccine largely depend on our understanding of complex dynamics between host immune response and viral adaptation to selective pressure exerted by the host. Understanding how the CTL epitopes interact with particular HLA alleles can give an insight into the mechanisms of success or failure of immune control of a pathogen, such as HIV-1, for which clearance of virus particles depends on CTL activity. So the vaccine development strategies for HIV should be focused on identifying the epitopes presented by HLA alleles prevalent in populations severely affected by the global HIV epidemic. In recent years, development of new technologies such as measuring interferon-gamma (IFNγ) release by the enzyme linked immunospot (ELISPOT) assay and flow cytometry ensured the efficient evaluation of CTL responses against HIV epitopes [14]. Moreover, development of overlapping pooled peptide technology (OLP) now provides the opportunity for the detailed and precise analyses of HIV-1-specific cellular immune responses by elucidation of the T-cell epitopes and the identification of immunodominant regions of HIV-1 gene products. Identification and characterization of the CTL epitopes as well as the corresponding HLA alleles can play a major role in elucidating the nature of protective CTL response and mechanism of the immune evasion of HIV. A large number of HIV CTL epitopes have been identified and deposited into various databases. Apart from the experimental methods, various computational tools are now available which can predict CTL epitopes within viral proteome by using different sets of algorithms, for example, artificial neural network (ANN), average relative binding (ARB), stabilized matrix method (SMM), and so forth. The first CTL epitope was identified in 1988 by using synthetic peptide technology [15]. Since then, over 1200 HLA class I restricted HIV-1 epitopes were identified in HIV proteome (http://www.hiv.lanl.gov/content/immunology/index.html). In Table 2, a list of HLA class I allele restricted optimal CTL epitopes for HIV along with their corresponding HLA alleles and clades is given. For the identification of optimal epitopes, two criteria were imposed as described by Llanoa et al. [16]. These criteria include the unequivocal experimental validation of the epitope restriction by a specific HLA class I allele and the definition of the optimal epitope length (8 to 10 amino acid long). Analysis of the CTL epitopes listed in Table 2 reveals that epitopes from 5 HIV proteins (gp160, Nef, p24, p17, and RT) contributed 77% of the total epitopes listed in Table 2. The remaining percentage of the epitopes was derived from the eight other HIV proteins (Integrase, p2p7p1p6, Protease, Rev, Tat, Vpu, Vif and Vpr). The highest number of optimal epitopes was found for p24 (54) while the only one optimal epitope was identified for vpu (Figure 1). The epitope number for gp160, Nef, RT, and p17 were 45, 43, 41, and 23, respectively. The number of unique alleles recognized by these epitopes was also analyzed and found to be correlated with number of epitopes for each HIV protein (Figure 1). For instance, 54 p24 CTL epitopes were restricted cumulatively by 35 unique HLA class I alleles. Similarly, for the epitopes of gp160, Nef, p17, and RT, the numbers of unique HLA class I alleles were found to be 31, 29, and 25, respectively.

Table 2.

List of optimal CTL epitopes for HIV-1 (taken and modified from HIV molecular immunology database (http://www.hiv.lanl.gov/content/immunology/tables/optimal_ctl_summary.html).

HIV protein AA position HLA Sequence Clade
gp160 2–10 B*0801 (B8) RVKEKYQHL
gp160 31–39 B*1801 (B18) AENLWVTVY B
gp160 31–39 B44 AENLWVTVY B
gp160 31–40 B*4402 (B44) AENLWVTVYY
gp160 37–46 A*0301 (A3) TVYYGVPVWK A, B, C, D
gp160 42–51 B*5501 (B55) VPVWKEATTT
gp160 42–52 B*3501 (B35) VPVWKEATTTL B
gp160 52–61 A*2402 (A24) LFCASDAKAY
gp160 59–69 B58 KAYETEVHNVW C
gp160 61–69 B*1801 (B18) YETEVHNVW B
gp160 78–86 B*3501 (B35) DPNPQEVVL B
gp160 104–112 B*3801 (B38) MHEDIISLW B
gp160 199–207 A*1101 (A11) SVITQACPK B
gp160 209–217 A*2902 (A29) SFEPIPIHY B, D
gp160 298–307 B*0702 (B7) RPNNNTRKSI B, C
gp160 310–318 A*3002 (A30) HIGPGRAFY B
gp160 311–320 A*0201 (A2) RGPGRAFVTI A, B, C
gp160 375–383 B*1516 (B63) SFNCGGEFF A, B, C
gp160 375–383 Cw*0401 (Cw4) SFNCGGEFF A, B, C
gp160 416–424 B*5101 (B51) LPCRIKQII B
gp160 419–427 A*3201 (A32) RIKQIINMW B, C
gp160 511–519 Cw18 YRLGVGALI C
gp160 557–565 Cw*0304 (Cw10) RAIEAQQHL A, B, C, D
gp160 557–565 Cw8 RAIEAQQHM A, B, C, D
gp160 557–565 Cw15 RAIEAQQHL C
gp160 584–592 B*1402 (B14) ERYLKDQQL A, B, C, D
gp160 585–593 A23 RYLKDQQLL B, C
gp160 585–593 A*2402 (A24) RYLKDQQLL B, C
gp160 586–593 B*0801 (B8) YLKDQQLL A, B
gp160 606–614 B*3501 (B35) TAVPWNASW B
gp160 698–707 A*3303 (A33) VFAVLSIVNR B
gp160 703–712 A*2501 (A25) EIIFDIRQAY
gp160 704–712 A*3002 (A30) IVNRNRQGY B
gp160 770–780 A*0301 (A3) RLRDLLLIVTR B, C
gp160 770–780 A*3101 (A31) RLRDLLLIVTR B, C
gp160 777–785 A*6802 (A68) IVTRIVELL B
gp160 786–795 B*2705 (B27) GRRGWEALKY B
gp160 787–795 A*0101 (A1) RRGWEVLKY B
gp160 794–802 A*3002 (A30) KYCWNLLQY B
gp160 805–814 B*4001 (B60) QELKNSAVSL B
gp160 813–822 A*0201 (A2) SLLNATDIAV B
gp160 831–838 A*3303 (A33) EVAQRAYR B
gp160 843–851 B*0702 (B7) IPRRIRQGL A, B, C, D
gp160 846–854 A*0205 (A2) RIRQGLERA B
gp160 848–856 B8 RQGLERALL
Integrase 28–36 B42 LPPIVAKEI B, C
Integrase 66–74 B*1510 (B71) THLEGKIIL B, C
Integrase 123–132 B57 STTVKAACWW B
Integrase 135–143 B*1503 (B72) IQQEFGIPY B, C
Integrase 165–172 Cw18 VRDQAEHL C
Integrase 173–181 B*5701 (B57) KTAVQMAVF B
Integrase 179–188 A*0301 (A3) AVFIHNFKRK B, multiple
Integrase 179–188 A*1101 (A11) AVFIHNFKRK B, multiple
Integrase 185–194 B*1503 (B72) FKRKGGIGGY B, C
Integrase 203–211 A*1101 (A11) IIATDIQTK B
Integrase 219–227 A*3002 (A30) KIQNFRVYY AE, B, C, D
Integrase 260–268 B42 VPRRKAKII
Integrase 263–271 B*1503 (B72) RKAKIIRDY B, C
Nef 13–20 B*0801 (B8) WPTVRERM B
Nef 19–27 B62 RMRRAEPAA B
Nef 37–45 B*4001 (B60) LEKHGAITS B
Nef 37–45 B50 LEKHGAITS B
Nef 68–76 B*0702 (B7) FPVTPQVPL B
Nef 68–77 B*0702 (B7) FPVTPQVPLR B
Nef 71–79 B*0702 (B7) TPQVPLRPM B
Nef 71–79 B*4201 (B42) RPQVPLRPM B, C
Nef 73–82 A*0301 (A3) QVPLRPMTYK A, B, C, D
Nef 73–82 A*1101 (A11) QVPLRPMTYK A, B, C, D
Nef 74–81 B*3501 (B35) VPLRPMTY A, B, C, D
Nef 75–82 A*1101 (A11) PLRPMTYK B
Nef 77–85 B*0702 (B7) RPMTYKAAL B
Nef 82–91 Cw8 KAAVDLSHFL B
Nef 83–91 A*0205 (A2) GAFDLSFFL A
Nef 83–91 Cw3 AALDLSHFL B
Nef 83–91 Cw*0802 (Cw8) AAVDLSHFL B, C
Nef 84–92 A*0301 (A3) AVDLSHFLK A, B, D, F
Nef 84–92 A*1101 (A11) AVDLSHFLK A, B, D, F
Nef 90–97 B*0801 (B8) FLKEKGGL A, B, C, D
Nef 92–100 B*4001 (B60) KEKGGLEGL B, C
Nef 92–100 B*4002 (B61) KEKGGLEGL B, C
Nef 105–114 B*2705 (B27) RRQDILDLWI B
Nef 105–115 B18 RRQDILDLWVY B
Nef 105–115 Cw7 KRQEILDLWVY B, C
Nef 106–114 B13 RQDILDLWI B
Nef 106–115 B*0702 (B7) RQDILDLWIY
Nef 116–124 B57 HTQGYFPDW B, C
Nef 116–125 B*5701 (B57) HTQGYFPDWQ B, C
Nef 117–127 B*1501 (B62) TQGYFPDWQNY B, C
Nef 120–128 A29 YFPDWQNYT B, C
Nef 120–128 B*3701 (B37) YFPDWQNYT B, C
Nef 120–128 B*5701 (B57) YFPDWQNYT B, C
Nef 120–128 Cw6 YFPDWQNYT B, C
Nef 127–135 B57 YTPGPGIRY B, C
Nef 127–135 B63 YTPGPGIRY B, C
Nef 128–137 B*0702 (B7) TPGPGVRYPL B, C
Nef 128–137 B*4201 (B42) TPGPGVRYPL B, C
Nef 133–141 A33 TRYPLTFGW B
Nef 134–141 A*2402 (A24) RYPLTFGW B, C
Nef 135–143 B*1801 (B18) YPLTFGWCY B, C, D
Nef 135–143 B53 YPLTFGWCF B
Nef 135–143 B*5301 (B53) YPLTFGWCY B
Nef 136–145 A*0201 (A2) PLTFGWCYKL B
Nef 137–145 B57 LTFGWCFKL A, B, C
Nef 137–145 B63 LTFGWCFKL A, B, C
Nef 180–189 A*0201 (A2) VLEWRFDSRL B
Nef 183–191 B*1503 (B72) WRFDSRLAF B
p17 11–19 B*4002 (B61) GELDRWEKI B
p17 18–26 A*0301 (A3) KIRLRPGGK A, B
p17 19–27 B*2705 (B27) IRLRPGGKK B
p17 20–28 A*0301 (A3) RLRPGGKKK A, B
p17 20–29 A*0301 (A3) RLRPGGKKKY B
p17 24–32 B*0801 (B8) GGKKKYKLK B, F
p17 28–36 A*2402 (A24) KYKLKHIVW B, C, F
p17 33–41 Cw*0804 (Cw8) HLVWASREL C
p17 34–44 A30 LVWASRELERF B, C
p17 36–44 B*3501 (B35) WASRELERF B, C
p17 74–82 B*0801 (B8) ELRSLYNTV F
p17 76–86 A*3002 (A30) RSLYNTVATLY B, C, F
p17 76–86 B58 RSLYNTVATLY B, C, F
p17 76–86 B63 RSLYNTVATLY B, C, F
p17 77–85 A*0201 (A2) SLYNTVATL A, B, C, D, F, G, K
p17 77–85 A*0202 (A2) SLYNTVATL A, B, C, D, F, G, K
p17 77–85 A*0205 (A2) SLYNTVATL A, B, C, D, F, G, K
p17 78–85 Cw14 LYNTVATL B, D
p17 78–86 A*2902 (A29) LYNTVATLY B, C
p17 78–86 B*4403 (B44) LYNTVATLY B, C
p17 84–91 A*1101 (A11) TLYCVHQK
p17 92–101 B*4001 (B60) IEIKDTKEAL B, F
p17 124–132 B*3501 (B35) NSSKVSQNY B
p24 3–11 B13 VQNLQGQMV B, C
p24 12–20 B*1510 (B71) HQAISPRTL B
p24 13–23 A*2501 (A25) QAISPRTLNAW B
p24 15–23 B*5701 (B57) ISPRTLNAW A, C
p24 15–23 B63 ISPRTLNAW A, B, C, D
p24 16–24 B*0702 (B7) SPRTLNAWV B
p24 24–32 B*1503 (B72) VKVIEEKAF B, C
p24 28–36 B*4415 (B12) EEKAFSPEV A, B, C, D
p24 30–37 B*5703 (B57) KAFSPEVI B
p24 30–40 B*5701 (B57) KAFSPEVIPMF A, B, C, G
p24 30–40 B*5703 (B57) KAFSPEVIPMF A, B, C, G
p24 30–40 B63 KAFSPEVIPMF A, B, C, G
p24 32–40 B57 FSPEVIPMF B, C
p24 35–43 A*2601 (A26) EVIPMFSAL A, B, C, D
p24 36–43 Cw*0102 (Cw1) VIPMFSAL B, D
p24 44–52 B*4001 (B60) SEGATPQDL B
p24 48–56 B*0702 (B7) TPQDLNTML A, B, C, D
p24 48–56 B*3910 (B39) TPQDLNTML A, B, C, D
p24 48–56 B*4201 (B42) TPQDLNTML A, B, C, D
p24 48–56 B*5301 (B53) TPYDINQML A
p24 48–56 B*8101 (B81) TPQDLNTML A, B, C, D
p24 48–56 Cw*0802 (Cw8) TPQDLNTML A, B, C, D
p24 61–69 B*1510 (B71) GHQAAMQML B, C
p24 61–69 B*3901 (B39) GHQAAMQML B, C
p24 70–78 B*4002 (B61) KETINEEAA B
p24 71–80 A*2501 (A25) ETINEEAAEW A, B, D
p24 78–86 B*4002 (B61) AEWDRVHPV B
p24 84–92 B7 HPVHAGPIA B, C, D, F
p24 94–104 B13 GQMREPRGSDI B, C
p24 108–117 B*5701 (B57) TSTLQEQIGW B, C
p24 108–117 B*5801 (B58) TSTLQEQIGW B, C
p24 122–130 B*3501 (B35) PPIPVGDIY A, B, C
p24 128–135 B*0801 (B8) EIYKRWII B
p24 131–140 B*2703 (B27) RRWIQLGLQK
p24 131–140 B*2705 (B27) KRWIILGLNK A, B, C, D
p24 137–145 B*1501 (B62) GLNKIVRMY A, B
p24 142–150 Cw18 VRMYSPVSI B, C, F
p24 143–150 B*5201 (B52) RMYSPTSI B, F
p24 161–169 Cw18 FRDYVDRFF C
p24 161–170 B*1801 (B18) FRDYVDRFYK B, D
p24 162–172 A*2402 (A24) RDYVDRFFKTL A
p24 162–172 B*4402 (B44) RDYVDRFYKTL B, D
p24 164–172 Cw*0303 (Cw9) YVDRFFKTL A, C, D
p24 164–172 A*0207 (A2) YVDRFYKTL B
p24 164–172 B*1503 (B72) YVDRFFKTL A, C, D
p24 164–172 Cw*0304 (Cw10) YVDRFFKTL A, C, D
p24 166–174 B*1402 (B14) DRFYKTLRA B, D
p24 174–184 B*4402 (B44) AEQASQDVKNW B, C, D
p24 174–185 Cw5 AEQASQEVKNWM
p24 176–184 B*5301 (B53) QASQEVKNW B, D
p24 176–184 B*5701 (B57) QASQEVKNW C
p24 197–205 B*0801 (B8) DCKTILKAL B
p24 217–227 A*1101 (A11) ACQGVGGPGHK B
p24 223–231 B*0702 (B7) GPGHKARVL B, C, D, F
Protease 3–11 A*6802 (A68) ITLWQRPLV A, B, C, D
Protease 3–11 A*7401 (A19) ITLWQRPLV A, B, C, D
Protease 30–38 A*6802 (A68) DTVLEEWNL D
Protease 34–42 B44 EEMNLPGRW B
Protease 57–66 B13 RQYDQILIEI B
Protease 68–76 B*1503 (B72) GKKAIGTVL BC
Protease 70–77 B57 KAIGTVLV BC
Protease 76–84 A*0201 (A2) LVGPTPVNI B
Protease 80–90 B81 TPVNIIGRNML C
Rev 14–23 B*5701 (B57) KAVRLIKFLY B
Rev 14–23 B*5801 (B58) KAVRLIKFLY B
Rev 14–23 B63 KAVRLIKFLY B
Rev 41–50 B7 RPAEPVPLQL A, B, C, D, F
Rev 57–66 A*0301 (A3) ERILSTYLGR B
Rev 67–75 Cw*0501 SAEPVPLQL B
RT 5–12 B*4001 (B60) IETVPVKL B
RT 18–26 B*0801 (B8) GPKVKQWPL A, B, C, D
RT 33–41 A*0201 (A2) ALVEICTEM B
RT 33–43 A*0301 (A3) ALVEICTEMEK B
RT 42–50 B*5101 (B51) EKEGKISKI B
RT 73–82 A*0301 (A3) KLVDFRELNK B
RT 93–101 A*0301 (A3) GIPHPAGLK B
RT 107–115 B*3501 (B35) TVLDVGDAY AG, B
RT 118–127 B*3501 (B35) VPLDEDFRKY B, C
RT 127–135 A2 YTAFTIPSV
RT 128–135 B*5101 (B51) TAFTIPSI B
RT 137–146 B18 NETPGIRYQY B, C
RT 142–149 B*1401 (B14) IRYQYNVL C
RT 156–164 B7 SPAIFQSSM A, B, C, D
RT 158–166 A*0301 (A3) AIFQSSMTK A, B, C, D
RT 158–166 A*1101 (A11) AIFQSSMTK
RT 173–181 A*3002 (A30) KQNPDIVIY B
RT 175–183 B18 NPEIVIYQY C
RT 175–183 B*3501 (B35) HPDIVIYQY A, B
RT 179–187 A*0201 (A2) VIYQYMDDL A, B, C, D
RT 202–210 B*4001 (B60) IEELRQHLL B
RT 244–252 B*5701 (B57) IVLPEKDSW B
RT 260–271 B*1501 (B62) LVGKLNWASQIY B
RT 263–271 A*3002 (A30) KLNWASQIY B, C
RT 269–277 A*0301 (A3) QIYPGIKVR B, C
RT 271–279 B*4201 (B42) YPGIKVRQL B, C
RT 309–317 A*0201 (A2) ILKEPVHGV A, B, C, D
RT 309–318 B*1501 (B62) ILKEPVHGVY A, B, D
RT 333–341 B13 GQGQWTYQI B
RT 341–350 A*1101 (A11) IYQEPFKNLK B, C
RT 356–365 A*3002 (A30) RMRGAHTNDV B
RT 356–366 A*0301 (A3) RMRGAHTNDVK B
RT 375–383 B*5801 (B58) IAMESIVIW B, C
RT 392–401 A*3201 (A32) PIQKETWETW B
RT 436–445 A*6802 (A68) GAETFYVDGA B, C
RT 438–448 A66 ETFYVDGAANR B, C
RT 449–457 A*2601 (A26) ETKLGKAGY B
RT 495–503 Cw*0802 (Cw8) IVTDSQYAL
RT 496–505 B*1503 (B72) VTDSQYALGI
RT 520–528 A*1101 (A11) QIIEQLIKK B
RT 560–568 B81 LFLDGIDKA
Tat 2–11 B*5301 (B53) EPVDPRLEPW B
Tat 2–11 B58 EPVDPRLEPW B
Tat 30–37 Cw12 CCFHCQVC B
Tat 38–47 B*1503 (B72) FQTKGLGISY C
Tat 39–49 A*6801 (A68) ITKGLGISYGR B
Vif 17–26 A*0301 (A3) RIRTWKSLVK B
Vif 28–36 A*0301 (A3) HMYISKKAK B
Vif 31–39 B*5701 (B57) ISKKAKGWF B
Vif 48–57 B*0702 (B7) HPRVSSEVHI B
Vif 57–66 B51 IPLGDAKLII B
Vif 79–87 B*1510 (B71) WHLGHVSI B
Vif 79–87 B*3801 (B38) WHLGQGVSI B
Vif 102–111 B*1801 (B18) LADQLIHLHY B
Vif 158–168 A*0301 (A3) KTKPPLPSVKK B
Vpr 29–37 B51 EAVRHFPRI B
Vpr 30–38 B*5701 (B57) AVRHFPRIW B, C
Vpr 31–39 B27 VRHFPRIWL B
Vpr 34–42 B*0702 (B7) FPRIWLHGL B
Vpr 34–42 B*8101 (B81) FPRIWLHGL B
Vpr 48–57 A*6802 (A68) ETYGDTWTGV C
Vpr 52–62 A*6801 (A68) DTWAGVEAIIR B
Vpr 59–67 A*0201 (A2) AIIRILQQL B
Vpu 29–37 A*3303 (A33) EYRKILRQR B
Gag-Pol 24–31 Cw*0102 (Cw1) NSPTRREL
p2p7p1p6 1–10 B*4501 (B45) AEAMSQVTNS
p2p7p1p6 42–50 B14 CRAPRKKGC B
p2p7p1p6 64–71 B*4002 (B61) TERQANFL B
p2p7p1p6 66–74 B13 RQANFLGKI B, C
p2p7p1p6 70–79 A*0201 (A2) FLGKIWPSYK B
p2p7p1p6 118–126 B*4001 (B60) KELYPLTSL B

Figure 1.

Figure 1

Number of optimal CTL epitopes and unique HLA recognized (a) and the percentage of clades (b) to which the optimal epitopes belong for whole HIV proteome were shown.

3. Clustering of CTL Epitopes in HIV Proteome

Analysis of the HIV-1 proteins reveals that HLA class I restricted epitopes form overlapping clusters known as epitope rich/dense region whereas the regions deficient of any epitope clusters are called the epitope poor regions [17]. Yusim et al. have identified four short overlapping clusters in Nef protein of HIV-1 which was found to be multirestricted indicating that the clusters contain several epitopes recognized by different class I HLA molecules [18]. In another study, Currier et al. identified CTL epitope distribution patterns in the Gag and Nef proteins of HIV-1 from subtype-A infected subjects [19]. Studies aided with powerful experimental as well as computational methods are now being conducted with the aim to construct a fine CTL epitope map for the whole HIV-1 proteome. With the advancement of new sophisticated computational and statistical methods, it is now possible to identify the epitope clusters computationally. One significant achievement in computational immunology is the method of identification of immunoproteasome cleavage sites within the query proteins by using different algorithms such as artificial neural network (ANN) which enables the rapid identification of a wide range of potential epitopes that can be analyzed both computationally and experimentally for their affinity to bind with particular HLA class I molecules. Studies, dedicated to identify the CTL epitope clusters by means of computational methods, are now showing some success as far as the identification of new epitope clusters is concerned, as some novel epitope containing clusters were identified. However, more developments in the algorithms are required to construct more realistic models of epitope and cleavage site prediction, so that the predicted proteasomal cleavage events observed in calculation may better mimic the actual processing of viral antigens in the natural environment. In this study, the analysis of the topological arrangement of the 269 experimentally validated optimal epitopes in the HIV proteins listed in Table 2 allowed the identification of epitope clusters in the individual HIV proteins. Among the 13 different HIV proteins (listed in Table 2), epitope clustering was performed for 5 proteins (gp160, Nef, p17, p24, and RT) because for these proteins a relatively higher number of epitopes were identified (Figure 2 and Table 3). The aim of the cluster analysis is to identify the epitope dense regions or “hot spots” in the HIV-1 proteome. To cancel the possibility of random matching, the clusters containing more than 5 overlapping epitopes were only considered. For gp160, 2 major epitope clusters can be observed where the first (amino acid position: 31 to 69) and second (amino acid position: 770–838) cluster harboured 9 epitopes each. Like the gp160 protein 2 major clearly defined clusters were also identified for the Nef and p17 protein. In case of Nef, one spans from 68 to 100 and the second one lies between 105 and 145 amino acid positions. In previous study Penciolelli et al. [20] identified 4 clusters in the Nef protein which falls within the epitope cluster range for Nef observed in this study. For p17 protein, two clusters were similar in epitope composition and length. First p17 cluster with 34 amino acids was found to contain 10 epitopes whereas 2nd p17 cluster with 12 epitopes was composed of 30 amino acids. p24 was found to contain maximum numbers (4) of major epitope clusters. For RT only 1 major cluster was identified which contained 9 overlapping epitopes, whereas the rest of epitopes were found to be distributed randomly in protein.

Figure 2.

Figure 2

Clustering pattern of 5 HIV-1 proteins. The X-axis represents the amino acid position whereas the Y-axis represents the number of allele binding to particular positions.

Table 3.

Analysis of the identified epitope clusters in HIV-1 proteins.

HIV-1 protein Total epitope number Cluster number Cluster amino acid position Cluster length (amino acids) Number of epitopes in cluster % of clustered epitopes in total epitope pool
Gp160 45 1 31–69 39 9 40
2 770–838 69 9

Nef 43 1 68–100 33 18 97
2 105–145 41 24

p17 23 1 11–44 34 10 95
2 72–101 30 12

p24 54 1 3–56 54 22 98
2 61–117 57 9
3 128–150 43 9
4 161–184 24 13

RT 41 1 107–166 60 9 22

Data from Table 3 suggest that epitopes in both the RT and gp160 proteins did not exhibit significant clustering properties compared to other HIV proteins. Only 40% and 22% of the epitopes were identified as part of the major cluster in gp160 and RT, respectively, which indicated that the majority of the epitopes were distributed randomly in respective proteins. Epitopes from other three proteins Nef, p17, and p24 showed significant clustering pattern as evident by both Figure 4 and Table 3. Most of the epitopes in these proteins were found to be a part of cluster or epitope dense region.

Figure 4.

Figure 4

Epitope clusters and hydrophobic pattern of five HIV proteins. The X-axis represents the amino acid position. The primary Y-axis (left) shows the hydrophobicity scores whereas the secondary Y-axis (right) represents the epitope hit/count values. The blue bars indicate the hydrophobicity score whereas the red line represents the epitope hit values. For the hydrophobicity scores, the negative values were not shown in the figure, and only the scores greater than 0 were plotted.

4. Are the CTL Epitope Clusters Conserved and Hydrophobic in Nature?

By analyzing the nature of the CTL epitopes and their source proteins, Hughes and Hughes proposed two hypotheses about the nature of the CTL epitopes. First they proposed that the endogenous peptides presented by human leukocyte antigen (HLA) class I molecules are largely derived from conserved regions of proteins, so in general the CTL epitopes tend to be more conserved than the remainder portion of the source proteins. Secondly they hypothesized that the CTL epitope regions are hydrophobic whereas the source protein may itself be overall hydrophilic in nature [8]. In harmony with these hypotheses, Silva and Hughes showed that the CTL epitopes of HIV-1 Nef protein were derived from the hydrophobic and relatively conserved regions by estimating the relative conservation of CTL epitopes of the Nef protein and relating this to the structure and function of the protein. In another study Lucchiari-Hartz et al. showed that the CTL epitope clusters derived from Nef protein tend to coincide with hydrophobic regions, whereas the noncluster regions are predominantly hydrophilic [8]. Their in vitro analysis of the proteasomal degradation products of HIV-Nef protein demonstrates a differential sensitivity of cluster and noncluster regions to proteasomal processing and the cluster regions are digested by proteasomes with greater preference for hydrophobic P1 residues. But the authors admitted that some cytosolic endoproteases other than proteasomes may also be involved in the production of certain Nef-CTL epitopes in natural condition [8]. In both these studies the primary focus was on one protein (Nef) in the whole HIV proteome. So similar studies on other HIV proteins would certainly be interesting and could reveal some important feature of the HIV-CTL epitopes. In contrast to the notion that HIV CTL epitopes are more conserved and hydrophobic in nature, more recent study revealed that distribution of CTL epitopes in 99% of the HIV-1 protein sequences follows a random pattern and is indistinguishable from the distribution of CTL epitopes in proteins from other proteomes such as hepatitis C virus (HCV), influenza and for three eukaryote proteomes. In this study, the authors opted for the computational approach to predict the large set of CTL epitopes where proteasome cleavage pattern, TAP, and HLA-binding, three most crucial steps in classical endogenous antigen presentation pathway, were predicted by means of computational tools. The use of experimentally validated epitopes instead of computationally predicted epitopes could influence the outcome of the study and may lead the authors to a different conclusion. To shed some light on the contradiction of different studies mentioned above, an investigation involving hydrophobic and conservancy pattern of experimentally validated optimal CTL epitopes (Table 2) from 5 HIV proteins (gp160, Nef, p17, p24, and RT) was conducted in this study. Relative conservancy and hydrophobicity of the five selected HIV proteins were analyzed. 100 proteins sequences of different HIV clades retrieved from the Uniprot database (http://www.uniprot.org/) were used as an input for both conservancy and hydrophobic pattern prediction. To unveil the conservation pattern, multiple sequence alignment (MAS) was constructed using well stabled tool called Clustal W version 2.0 (http://www.ebi.ac.uk/Tools/clustalw2/index.html) developed by European Bioinformatics Institute (EBI). From the MSA the conservancy score for each amino acid position was obtained. To predict the hydrophobicity score Protscale tool of the ExPASy Proteomics Server (http://www.expasy.ch/tools/protscale-ref.html) and algorithm (developed by Abraham and Leo) previously used by Lucchiari-Hartz et al. [8] were employed. Both the hydrophobicity and conservancy scores for each amino acid position within a particular HIV protein were used to calculate the total scores for both these parameters. Figure 3 shows the total hydrophobicity and conservancy scores of 5 individual HIV proteins in agreement with previous study [21]. We found that both the RT and p24 are relatively conserved and more hydrophobic than the rest of the analyzed HIV proteins (Figure 3). To visualize the overlapping pattern and correlation between the hydrophobic pattern and epitope clusters for the five selected proteins, the epitope count/hit and hydrophobicity scores were plotted together for each protein (Figure 4). The epitope hit score for a particular position is the number of alleles binding to that particular position.

Figure 3.

Figure 3

Cumulative conservancy (a) and hydrophobicity (b) scores of five individual proteins of HIV-1.

To compare the correlation among hydrophobicity, conservancy, and epitope count, correlation coefficient was calculated among them (Appendix 1). For the calculation of correlation coefficient, first the standard deviation of each of the three score parameters (epitope count, hydrophobicity, and conservancy) was obtained (Appendix 1). Table 4 shows the correlation score values among these three parameters.

Table 4.

Correlation coefficient.

Correlation score HIV-1 proteins
gp160 Nef p17 p24 RT
Epitope hit versus hydrophobicity 0.11 0.27 0.16 0.26 0.12
Epitope hit versus conservancy 0.097 0.21 0.19 0.23 0.047
Hydrophobicity versus conservancy 0.20 0.22 0.23 0.15 0.009

From the correlation score it was evident that Nef epitope clusters were strongly correlated with the hydrophobicity and conservancy. p24 protein also showed relatively high correlation between epitope clusters and hydrophobicity and between conservancy and epitope clusters. In contrast, gp160 and RT showed relatively weak yet similar correlation among the parameters. p17 showed strong correlation when epitope hit was compared with conservancy but showed moderate correlation between epitope hit and hydrophobicity. So these findings suggested that not all the epitopes of HIV proteome are derived from conserved and hydrophobic regions of HIV-1 proteome although this hypothesis was found to be valid for two of the five HIV proteins (Nef and p24) as both of these proteins showed a significant correlation among epitope cluster, hydrophobicity, and conservancy. But the very weak correlation obtained for gp160 and RT diminished the general applicability of the hypothesis that all the HIV CTL epitopes were conserved and hydrophobic in nature.

5. The Role of MHC Class I on Immune Control of HIV Infection

Significant variation in the susceptibility to HIV-1 infection and especially in the clinical outcome after infection is observed in HIV infected patients. For instance, variation in the level of circulating virus particles in the plasma during the nonsymptomatic phase is commonly observed among the patients [22]. In addition to this, there is evidence that in certain cases individuals known as long-term nonprogressor (LTNP), infected with HIV, remain asymptomatic without antiretroviral therapy (ART) in their life time due to the slow or arrested evolution of HIV [23]. The most plausible explanation is that the variation in the susceptibility and outcome of HIV infection is largely due to host factors and viral adaptation to selective pressure. Recently Fellay et al. conducted a whole-genome association study to identify the host factor associated with control of HIV-1. In this study they identified two distinct polymorphisms associated with HLA loci B and C [24]. Surprisingly, almost all HLA class I polymorphisms were found to occur in those residues that belong to peptide-binding groove of these molecules thereby determining the epitopes that bind to each HLA molecule [25]. Among the three MHC class I loci in humans (HLA-A, HLA-B, and HLA-C), HLA-B is the most polymorphic, compared with HLA-A and HLA-C molecules (IMGT/HLA database: http://www.ebi.ac.uk/imgt/hla/). A more direct evidence of the association between HLA polymorphism and disease progression in HIV infected individual came from a previous study where they showed HLA-B*3503 associated with rapid disease progression differs in only one amino acid from HLA-B*3501 for which no such association was observed [26]. The presence of HLA-B*57 allele in a large proportion of LTNPs signifies its role in controlling disease progression and mutations in HLA-B*57-restricted Gag epitopes were frequently present in all viruses from plasma but interestingly inspite of this CTL escape mutations LTNPs can maintain viral suppression [27, 28]. The escape mutation in the HLA-B*57-restricted Gag epitopes can be considered as a consequence of strong evolutionary pressure exerted by the host immune response. Previous studies showed that although mutation in the conserved gag p24 epitope DRFYKTLRAE helps the virus to evade CTL response, it also impairs its ability to replicate because the mutation occurs in a very conserved position which is functionally constrained [29]. Among the three HLA class I molecules, HLA-B is considered as the most important factor for restricting HIV diseases progression and T cells responding to HLA-B-restricted epitopes appear to be immunodominant [30, 31]. Moreover, detailed study of the CTL epitopes in whole HIV-1 proteome revealed that HLA-B-restricted epitopes are more conserved compared to epitopes restricted by HLA-A and C. The same study also showed that although for most of the proteins the fractions of unique HLA-A and B restricted positions are equivalent in the total HIV clade-B proteome, Gag-p24 and Nef seemed to be preferentially targeted by HLA-B alleles as the B-restricted fractions were found to be over threefold higher than the A-restricted residues [32].

In our study, the analysis of different class I HLA alleles that recognize all the listed CTL optimal epitopes revealed some interesting features of HLA restriction patterns of HIV-1 CTL epitopes. Figure 5 shows the number of optimum epitopes recognized by 62 different class I HLA alleles. It was found that HLA-B*57 was the most successful as far as the number of epitope recognition was concerned as it recognizes 22 different optimal epitopes. The other successful HLA alleles were HLA-A*3, A*2, B*7, A*11, and B*35 (Figure 5). Among the total HLA alleles HLA-B contributes to the 50% of the total allele pool whereas HLA-A and C constitute 27% and 23%, respectively (Table 5).

Figure 5.

Figure 5

The number of unique alleles recognized by the optimal CTL epitopes.

Table 5.

Analysis of the different HLA alleles.

HLA Total number and as % of total HLAs Number of epitope recognized % of epitope recognized by HLA in total epitope pool
A 17 (27%) 86 31%
B 31 (50%) 165 60%
C 14 (23%) 24 9%

These data also support the previous findings and also signify the role of HLA-B alleles in controlling HIV-1 infection as HLA-B was found to be associated with the 60% of the experimentally validated CTL epitopes. In harmony with the finding of Costaa et al. [32] we also observed a low % (9% of the total optimal epitope pool) of epitopes was recognized by HLA-C alleles. We have also analyzed the % of the epitopes associated with HLA-A and B alleles in individual HIV proteins (gp160, Nef, p24, p17, and RT). Analysis showed that only the p24 and Nef epitopes were associated with higher numbers of HLA-B alleles than A alleles. In contrast, epitopes derived from gp160, p17, protease, and other proteins (Tat, Rev, Vpu, Vpr, Vif) were recognized by slightly greater number of A alleles compared to B alleles. In case of intergrase, the epitopes were restricted by almost similar number of A and B alleles. There was a significant difference between the HLA*A and HLA*B associated epitopes for RT and p24. For RT the % of HLA*A and HLA*B associated epitopes are 19 and 6.28, respectively. In case of p24 the % of HLA*B associated epitopes are significantly higher (20%) than the HLA*A epitopes (3.5%).

6. Conclusion

As CTL response against HIV infected cells is proved to be crucial in controlling virus population in the host, rationally the CTL based vaccine should have a profound effect on HIV infection. Yusim et al. suggested that epitope clustering methods provide an alternative strategy to design novel multiepitope vaccine. They also suggested that the multiepitope vaccine should not be composed of a string of single epitopes, rather it should be composed of short region containing the epitope clusters and proximal regions flanking the epitope cluster that may be essential for optimal processing of epitopes. These epitope clusters harbor multiple overlapping epitopes which may be recognized by multiple HLA alleles. In conclusion, this study has shown the analysis of the HIV-1 CTL epitopes which revealed that Nef and p24 proteins of HIV-1 can be considered for CTL based multiepitope vaccine design since a significant number of optimal CTL epitopes are derived from Nef and Gag-p24 and almost all these epitopes showed a clustering pattern. A further study is needed to test these proposed vaccine candidates in laboratory animal to test safety and immunity against HIV.

Appendix

Correlation between Different Scores. There are three scores for each of the k-th position of epitope:

  1. epitope hit score: EHS(k),

  2. hydrophobicity score: HS(k),

  3. conservancy score: CS(k).

Let us assume that the position range of epitope, for which each of scores exists, is j to n.

Now

  1. the average epitope hit score EHS_AVG = (1/(nj + 1))∑k=j nEHS(k);

  2. the average hydrophobicity score HS_AVG = (1/(nj + 1))∑k=j nHS(k);

  3. the average conservancy score CS_AVG = (1/(nj + 1))∑k=j nCS(k).

Now

  • (a)
    the standard deviation of epitope hit score
    EHS_SD=1nj+1k=jn(EHS(k)EHS_AVG)2. (A.1)
  • (b)
    The standard deviation of hydrophobicity score
    HS_SD=1nj+1k=jn(HS(k)HS_AVG)2. (A.2)
  • (c)
    The standard deviation of conservancy score
    CS_SD=1nj+1k=jn(CS(k)CS_AVG)2. (A.3)

Then the correlation coefficient between the scores are calculated as below.

Correlation between epitope hit count and hydrophobicity score

Corr(EHS, HS)=k=jn(EHS(k)EHS_AVG)(HS(k)HS_AVG)(nj)EHS_SD×HS_SD. (A.4)

Correlation between epitope hit count and conservancy score

Corr(EHS, CS)=k=jn(EHS(k)EHS_AVG)(CS(k)CS_AVG)(nj)EHS_SD×CS_SD. (A.5)

Correlation between conservancy and hydrophobicity score

Corr(CS, HS)=k=jn(CS(k)CS_AVG)(HS(k)HS_AVG)(nj)CS_SD×HS_SD. (A.6)

The calculation of each of these correlations is carried out for each protein group separately.

Conflict of Interests

All authors read and approved the paper. The authors declare that there is no conflict of interests regarding the publication of this paper.

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