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Table 8. The results of the meta-analyses for the six protein families under positive selection by the DerSimonian-Laird method, the Restricted

maximum-likelihood method, the Peto method and the Mantel-Haenszel

method.

therefore referred to as functional constraints. The relative intensities of the structural

constraints and the functional constraints differ from site to site. The active sites

registered in CSA did not always have low correlation coefficient. In such sites, the

structural constraint may be consistent with the functional constraint. Despite the

inconsistency among the sites, the integrated analysis by the meta-analysis suggested

that the active sites tend to have low correlation coefficients. Likewise, the correlation

coefficients of some positively selected sites did not fall into the tail region. For some

sites, the acceleration of amino acid substitutions along the structural constraints may be

enough for the positive selection. For example, the substitution of an amino acid residue

to a physicochemically similar residue at the antigenicity determining site may be

effective to escape from the recognition by antibody. However, the meta-analyses

suggested that the correlation coefficients for the positively selected sites tend to have

lower values than those for the non-positively selected sites. In other words, the

acceleration of the amino acid substitutions at the positively selected sites tends to occur

in a manner that is subject to the functional constraints.

The positively selected sites, which are listed in Table 5, are mapped on the

tertiary structures of -toxin,-toxin, Group I PLA2, Group II PLA2, HA and MHC (see

Figure 6). In the figures, the positively selected residues with the correlation

coefficients between two profiles < 0.1 are colored red. The residues colored red are

basically concentrated at the same face, in any case except for the analysis with -toxin

(see Figure 6). As for the -toxin, four residues corresponding to the residue positions

11, 18, 38 and 40 of PDB ID:2ASC are colored red (see Figure 6 (A)). Out of them,

residues at the positions 11, 18 and 40, have been reported to affect the toxin activity

(Gordon et.al. 2007, Weinberger et al. 2010.). Furthermore, it is reported that the

residue position 40 is involved in the toxin selectivity as well as toxin activity

(Weinberger et al. 2010). Only two residues corresponding to the residue positions 15

and 16 of PDB ID:2I61 were detected for the -toxin by my analysis. The residues are

also colored red in Figure 6 (B). The residues have been reported to be important for

both toxin activity and selectivity to the insect voltage-gated sodium channel (Karbat et

al., 2007; Tian et al., 2008.). Most of the residues colored red are located around the

active sites (blue sites) for either Groups I or II PLA2 (See Figure 6 (C) and (D)). Both

groups of enzymes are used as toxins by the snakes. It is suggested that the positive

selection is considered to be related to the adaptation to the change of the prey in the

different habitats (Lynch, 2007). In addition, some of the residues detected from Group

II PLA2 are also present near or at the terminal region (see Figure 6 (D)). The

C-terminal region, which corresponds to the residue positions 115-133 of PDB ID:1OZ6,

have been reported to be involved in the toxin action (Prijatelj et al., 2000; Ivanovski et

al., 2000; Fujisawa et al., 2008). Three residues of HA are colored red (see Figure 6

(E)). Out of them, two residues corresponding to the residue positions 156 and 159 of

PDB ID:2VIU are present in the antigenic region B1. The region, which consists of the

residue positions 150-170 of PDB ID:2VIU, have been reported to play an important

role for evacuating antibody’s attack (Sato et al., 2004). The most of the residues

colored red of MHC are located at or around the ligand binding sites in the tertiary

structure (see Figure 6 (F)). Thus, the individual exploration about the positively

selected residues with the correlation coefficient < 0.1 suggested that the substitutions

under the constraint different from structural one are effective for such adaptation or

selectivity.

As described above, the sites under positive selection do not always have the

low correlation coefficient between profiles. Therefore, it would be difficult to apply

this tendency to the prediction of positively selected sites. Rather, my method seems to

connect the two schools for the detection of positive selection. Several different

methods are available to detect positive selection at a single amino acid site in proteins.

Roughly speaking, the methods are classified into two approaches. One of the methods

uses the ratio of non-synonymous to synonymous substitution rates or estimate the 

ratio as an indicator of positive selection, and has been developed by introducing

statistical approaches (Fitch et al., 1997; Nielsen and Yang, 1998; Suzuki and Gojobori,

1999; Yang et al., 2000; Kosakovsky Pond and Frost, 2005; Massingham and Goldman,

2005). The PAML program package (Yang, 2007) used in this study is a representative

tool for the identification of codons under positive selection. In contrast, there are

different approaches in which the ratio of the radical to conservative amino acid

substitution rates is used as a measure for positive selection (Hughes et al., 1990; Rand

et al., 2000; Zhang, 2000; Suzuki, 2007). Dagan et al. (2002) suggested that the ratio of

radical to conservative substitutions may not be a good indicator of positive selection,

since the ratio is affected by the transition-transversion rate ratio and the amino acid

compositions. In addition, the radical and conservative substitutions are defined based

on the physicochemical characteristics of the amino acid residues in the approaches.

However, the structural aspects have been neglected in these studies. Even the

substitutions of amino acids belonging to the same physicochemical group may be

radical, and the substitutions between amino acids in different physicochemical groups

may be conservative, depending on the structural context. In this study, I examined the

amino acid replacements under positive selection indicated by the  ratio, in which

neither radical-conservative substitutions nor structural-functional constraints are taken

into account. In spite of the exclusion of such aspects, the profile comparison study

suggested that the amino acid substitutions under positive selection may have occurred

in a manner that the substitution pattern deviates from structural constraints. If the

amino acid substitutions according to the structural constraints at a site are regarded as

conservative, and those that deviates from structural constraints as radical, then my

study can be considered as an attempt to connect the approaches with the  ratio to

those with the radical-conservative ratio. The key is the introduction of the structural

information. Recently, Suzuki (2013) extended his work by using structural

information, in which the thermodynamic stability obtained by an in silico method is

used, instead of the physicochemical group. Considering the accumulation of the

coordinate data of proteins, the use of structural information will shed light on studies of

positive selection.

Figure 6. Mapping of the amino acid residues corresponding to positively

selected sites.

The positively selected sites are mapped on the tertiary structures of -toxin (A), 

-toxin (B), Group I PLA2 (C), Group II PLA2 (D), HA (E) and MHC (F). The residues

corresponding to positively selected sites with a correlation coefficient < 0.1 are colored

red, whereas the residues corresponding to the positively selected sites with a

correlation coefficient > 0.1 are colored yellow. The residues colored blue indicate the

catalytic sites for Group I and II PLA2. The ligands of MHC are represented as green

sticks. Two structures are shown in each row. They are the illustrations of the same

structure. The structure at the left side is arranged to exhibit the residues colored red as

many as possible, which is rotated around the Z-axis running from the bottom of the

page to the top by approximately 180 degrees to be shown at the right side.

Finally, I’d like to conclude this manuscript by describing a possible extension of my

profile comparison as future works. Recently, several groups including us have

investigated positive selection from structural viewpoint, although the number of such

studies is still small. For example, Meyer et al. (2013) and Echave et al. (2016)

described a possibility that even positively selected codon sites have dS/dN < 1.0 due to

structural constraints. It means ordinary approaches with  ratio cannot be applicable to

the detection of such codon sites. Echave et al. (2016) insisted that a structural baseline

is required to detect such positively selected sites. If the substitution rate at a site is

greater than the base line, the site is regarded as a positively selected site, although there

is no concrete method to generate such base line at this stage. During the research

described in this manuscript, I found that some positively selected sites identified in this

study seem to be under the relatively strong structural constraint, since the correlation

coefficient of profile comparison at such sites were 0.5 or more. The observation is

inverse to the case suggested by Echave et al. (2016). That is, amino acid substitution

could be accelerated according to the structural constraints. There are two

interpretations for my observation. Consider antigenicity determinants of an antigen for

the first interpretation. If the object of the amino acid substitution is to avoid the

detection by the host antibodies, the replacement according to the structural constraint

would be enough for the survival of the pathogens. The second interpretation may be

related to a report by Dasmeh et al. (2014), in which the relationship between the

protein stability and the dN/dS ratio is examined with the simulated evolution of

myoglobulin in silico. In their simulation, they observed that positive selection would

occur to maintain the structural stability under the condition of the low structural

stability. The positively selected sites with high correlation coefficients detected in this

study may contribute to the structural stability as suggested by Dasmeh et al. (2014).

The profile comparison could be used to further investigate the mechanism of the

positive selection with high correlation coefficients between the profiles. The study of

positive selection from structural viewpoint has been just begun. The introduction of

structural information would shed light on the study of positive selection and other

topics of molecular evolution.

Acknowledgments

I would like to show my greatest appreciation to my supervisor, Professor

Hiroyuki Toh for providing me the opportunity to conduct this research and guidance

from the beginning to the completion of this research. My heartfelt appreciation goes to

Professor Motonori Ota for giving me a program to calculate the 3D profile of this study

and useful advice. I owe my deepest gratitude to Professor Daisuke Kohda for advising

me as a chief investigator and giving me the opportunity to conduct this research from

April 1 to September 30, 2011 in his laboratory. I am very grateful to everyone

belonging to Professor Toh's laboratory and Professor Kohda's laboratory, in particular

Drs. Kazutaka Katoh, Tetsuya Sato, and Fredrik Johansson for their valuable comments

and discussion on my computational analyses.

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