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galt
  Wed Jun 12 01:41:12 2019 -0700
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 <H2>Description</H2>
 <P>
 This track displays Positive Selection analysis results (by vaccine/placebo)
 of VAX004 HIV-1 gp120 nucleotide sequences.  Each positive selection site is 
 labeled by the corresponding amino acid of the consensus sequence.
 </P>
 
 <H2>Methods</H2>
 <P>The standard method for detecting adaptive molecular evolution in
 protein-coding DNA sequences is through comparison of nonsynonymous
 (amino acid changing; <i>d</i><sub>N</sub>) and synonymous
 (silent; <i>d</i><sub>S</sub>) substitution rates through the
 <i>d</i><sub>N</sub>/<i>d</i><sub>S</sub> ratio [&omega; or acceptance rate].
 &omega; measures the difference between both rates based on a codon
 substitution model. If an amino acid substitution is neutral, it will be fixed
 at the same rate as a synonymous mutation, with &omega; = 1.  If the amino
 acid change is deleterious, purifying or negative selection (i.e., natural
 selection against deleterious mutations with negative selection coefficients)
 will reduce its fixation rate, thus &omega; &lt; 1.  Only when the amino acid
 change offers a selective advantage is it fixed at higher rate than a
 synonymous mutation, with &omega; &gt; 1.  Therefore, an &omega; ratio
 significantly higher than one is convincing evidence for adaptive or
 diversifying selection. In the HIV context, this is the
 principle means of identifying changes and therefore sites under antigenic
 selection and therefore most important in vaccine targets. Here
 <i>d</i><sub>N</sub>/<i>d</i><sub>S</sub> ratios in each subtype and
 placebo and vaccine samples were compared using methods implemented in
 PAML v3.14.  &omega; and the proportion of sites (&rho;) with &omega;
 &gt; 1 were estimated under the site-specific models of
 Goldman <em>et al</em>. (1994) and Yang (2000).
 Tests of positive selection were performed by comparing likelihood scores
 (likelihood ratio test) between the M1 (neutral) and M2 (selection) and
 between the M7 (beta) and M8 (beta&&omega;) per-site nested models.
 More stringent models in PAML (M0) of per-gene selection were also
 estimated for comparison. If adaptive selection was identified, we then
 applied the Bayesian test developed by Yang <em>et al</em>. and implemented
 in PAML to identify the potential sites under diversifying selection as
 indicated by a posterior probability &gt; 0.95. Maximum likelihood trees
 were estimated for each subtype using PhyML under the best-fit substitution
 models. Each analysis was run twice under &omega; = 1.5 and 0.5.
 </P>
 
 <P>
 Simulations published by Anisimova <em>et al</em>. (2003) and Shriner
 <em>et al</em>. (2003) assessed the accuracy and power of the LRT and Bayes
 test implemented in PAML in the presence of recombination. General conclusions
 from these analyses indicate that excessive recombination (&rho; = 0.01),
 like usually observed in HIV sequences, can cause false positives in the Bayes
 test and makes the LRT unrealistic as it often mistakes recombination as
 evidence for positive selection. The LRT test that compares models M7 and M8
 seems to be more robust to recombination and the detection of sites under
 positive selection seems to be less affected by recombination.
 Nevertheless, a new coalescent model has been recently described that estimates
 the <i>d</i><sub>N</sub>/<i>d</i><sub>S</sub> ratio in the presence of
 recombination and hence generates simultaneous estimates of &omega; and &rho;
 using Bayesian inference (Wilson <em>et al</em>. 2006).
 Such a model is implemented in omegaMap and has been
 applied to our subtype and vaccine and placebo samples. We ran omegaMap under
 a constant model for variation (i.e., all sites are assumed to share common
 &omega; and &rho;) and the following parameter settings:
+<UL>
 <LI>N&#176; orders = 10</LI>
 <LI>N&#176; iterations = 10<super>6</super></LI>
 <LI>thinning = 100</LI>
 <LI>priors = improper inverse</LI>
+</UL>
 </P>
 
 <H3>Results</H3>
 
 <TABLE BORDER=1>
  <TR>
   <TD>Subtype B</TD>
   <TD>Ns</TD>
   <TD>&omega;<sub>MO</sub></TD>
   <TD>-lnL<sub>M1</sub></TD>
   <TD>-lnL<sub>M2</sub></TD>
   <TD>&omega;<sub>M2</sub></TD>
   <TD>&rho;<sub>M2</sub></TD>
   <TD>n<sub>M2</sub></TD>
   <TD>-lnL<sub>M7</sub></TD>
   <TD>-lnL<sub>M8</sub></TD>
   <TD>&omega;<sub>M8</sub></TD>
   <TD>&rho;<sub>M8</sub></TD>
   <TD>n<sub>M8</sub></TD>
  </TR>
 
  <TR>
   <TD>All</TD>
   <TD>344</TD>
   <TD>&nbsp;</TD>
   <TD>&nbsp;</TD>
   <TD>&nbsp;</TD>
   <TD>&nbsp;</TD>
   <TD>&nbsp;</TD>
   <TD>&nbsp;</TD>
   <TD>&nbsp;</TD>
   <TD>&nbsp;</TD>
   <TD>&nbsp;</TD>
   <TD>&nbsp;</TD>
   <TD>&nbsp;</TD>
  </TR>
 
  <TR>
   <TD>Placebo</TD>
   <TD>120</TD>
   <TD>0.443</TD>
   <TD>41672.3</TD>
   <TD>40929.9</TD>
   <TD>3.33</TD>
   <TD>0.116</TD>
   <TD>40</TD>
   <TD>41222.3</TD>
   <TD>40654.8</TD>
   <TD>2.87</TD>
   <TD>0.097</TD>
   <TD>40</TD>
  </TR>
 
  <TR>
   <TD>Vaccine</TD>
   <TD>224</TD>
   <TD>0.413</TD>
   <TD>73313.3</TD>
   <TD>72136.5</TD>
   <TD>3.22</TD>
   <TD>0.107</TD>
   <TD>37</TD>
   <TD>72338.8</TD>
   <TD>71486.4</TD>
   <TD>2.72</TD>
   <TD>0.098</TD>
   <TD>37</TD>
  </TR>
 </TABLE>
 
 <P><B>Table 1.</B> Test of adaptive selection for the USA subtype B 
 subgroups in PAML. All model comparisons in PAML were significant 
 (P &lt; 0.001). These estimates were obtained using one clone per 
 individual.
 </P>
 
 <TABLE BORDER=1>
  <TR>
   <TD>HIV-1 Subtype B</TD>
   <TD>&theta;</TD>
   <TD>&rho;</TD>
   <TD>&omega;<sub>PAML</sub></TD>
   <TD>&omega;<sub>SNAP</sub></TD>
  </TR>
 
  <TR>
   <TD>Placebo</TD>
   <TD>0.004</TD>
   <TD>5.47</TD>
   <TD>0.85</TD>
   <TD>0.75</TD>
  </TR>
 
  <TR>
   <TD>Vaccine</TD>
   <TD>0.004</TD>
   <TD>4.58</TD>
   <TD>0.87</TD>
   <TD>0.71</TD>
  </TR>
 
 </TABLE>
 
 
 
 <P><B>Table 2.</B> Mean genetic diversity (&theta;), population recombination 
 rate (&rho;), and selection (&omega;) estimates (as estimated in PAML and SNAP) 
 for the USA subtype B subgroups. These estimates were obtained using 
 all the clones from an individual and then averaging over all 
 individuals in each subgroup.
 </P>
 
 <H2>Credits</H2>
 <P>
 The data for this track were provided by Keith A. Crandall at 
 <A HREF="http://www.genoma-llc.com" TARGET=_BLANK>Genoma LLC</A>.
 </P>
 
 <H2>References</H2>
 <P>Anisimova M, Nielsen R, Yang Z.
 <A HREF="http://www.genetics.org/cgi/content/abstract/164/3/1229" TARGET=_blank>Effect of recombination on the accuracy of the likelihood method for detecting positive selection at amino acid sites</A>.
 <EM>Genetics</EM>. 2003 Jul;164(3):1229-36.
 </P>
 
 <P>
 Crandall KA, Kelsey CR, Imamichi H, Lane HC, Salzman NP.
 <A HREF="http://mbe.oxfordjournals.org/cgi/reprint/16/3/372.pdf" TARGET=_blank>Parallel evolution of drug resistance in HIV: failure of nonsynonymous/synonymous substitution rate ratio to detect selection</A>.
 <EM>Mol Biol Evol</EM>. 1999 Mar;16(3):372-82.
 </P>
 
 <P>
 Goldman N, Yang Z.
 <A HREF="http://mbe.oxfordjournals.org/cgi/content/abstract/11/5/725" TARGET=_blank>A codon-based model of nucleotide substitution for protein-coding DNA sequences</A>.
 <EM>Mol Biol Evol</EM>. 1994 Sep;11(5):725-36.
 </P>
 
 <P>
 Miyata T, Yasunaga T.
 <A HREF="http://www.springerlink.com/content/v2645n103qu42633/" TARGET=_blank>Molecular evolution of mRNA: a method for estimating evolutionary rates of synonymous and amino acid substitutions from homologous nucleotide sequences and its application</A>.
 <EM>J Mol Evol</EM>. 1980 Mar;16(1):23-36.
 </P>
 
 <P>
 Shriner, D., D. C. Nickle, M. A. Jensen, and J. I. Mullins.
 <A HREF="https://www.ncbi.nlm.nih.gov/pubmed/12872913" TARGET=_blank>Potential impact of recombination on sitewise approaches for detecting positive natural selection</A>.
 <EM>Genet Res</EM>. 2003 Apr;81(2):115-21.
 </P>
 
 <P>
 Wilson DJ, McVean G.
 <A HREF="http://www.genetics.org/cgi/content/abstract/172/3/1411" TARGET=_blank>Estimating diversifying selection and functional constraint in the presence of recombination</A>.
 <EM>Genetics</EM>. 2006 Mar;172(3):1411-25.
 </P>
 
 <P>
 Yang Z.
 <A HREF="http://mbe.oxfordjournals.org/cgi/content/abstract/24/8/1586" TARGET=_blank>PAML 4: Phylogenetic Analysis by Maximum Likelihood</A>.
 <EM>Mol Biol Evol</EM>. 2007 Aug;24(8):1586-91.
 </P>
 
 <P>
 Yang Z, Nielsen R, Goldman N, Pedersen A-MK.
 <A HREF="http://www.genetics.org/cgi/content/abstract/155/1/431" TARGET=_blank>Codon-substitution models for heterogeneous selection pressure at amino acid sites</A>.
 <EM>Genetics</EM>. 2000 May;155(1):431-449.
 </P>
 
 <P>
 Yang Z, Wong WSW, Nielsen R.
 <A HREF="http://mbe.oxfordjournals.org/cgi/content/abstract/msi097v1?ct" TARGET=_blank>Bayes empirical bayes inference of amino acid sites under positive selectioni</A>.
 <EM>Mol Biol Evol</EM>. 2005 Apr;22(4):1107-18.
 </P>