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    <article-meta>
      <title-group>
        <article-title>An Ontology of Gene</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Hiroshi Masuya</string-name>
          <email>hmasuya@brc.riken.jp</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Riichiro Mizoguchi</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Knowledge Systems, ISIR, Osaka University</institution>
          ,
          <addr-line>Ibaraki</addr-line>
          ,
          <country country="JP">Japan</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>RIKEN BioResource Center</institution>
          ,
          <addr-line>Tsukuba</addr-line>
          ,
          <country country="JP">Japan</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The concept of a gene was established in the era of classical genetics and is now essential for life science for elucidating the molecular basis of the coding of genetic information necessary to realize the body of an organism and its biological functions. However, an ontology fully representing multiple aspects of a gene is still not available. In this study, we dissected the biological and ontological definitions of bearers of genetic information, including genes and alleles. Based on this analysis, we then proposed a basic way of modeling an ontology that represents the common definitions in classical and molecular genetics. This ontology is available at http://www.brc.riken.jp/lab/bpmp/ontology/ontology_gene.html.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>1 INTRODUCTION
“Gene” is one of the most fundamental concepts composing
the basis of modern biomedical science, established in the
1900s. Today, genetic information is known to be coded
molecularly using a sequence of four types of
polynucleotide bases, providing blueprints for the development of an
organism’s body and its biological functions.</p>
      <p>Recently, gathering information using a computer has
become more and more important as a component of research
studies in life science. Ontology provides us with one of the
most important means of processing varieties of data and
representing knowledge models. Currently, several
biomedical ontologies have been constructed with the aim of
integrating a variety of information produced by different fields
of biology. Therefore, development of a common
model/ontology for genes is one of the key issues in
bioinformatics studies.</p>
      <p>However, the simple modeling of a gene and its allele
into an ontology can raise some problems. For example,
because a gene can be formed of two kinds of molecular
entities, DNA or RNA, we cannot define a single class of
gene under a hierarchical tree of molecular classifications.</p>
      <p>Another problem with the classification arises with the
hierarchy of “gene =&gt; allele =&gt; molecular instance”. This
hierarchy corresponds to a hierarchy of “Gdf5 of mouse
(gene) =&gt; Gdf5Rgsc451 (allele) =&gt; molecular instance of
Gdf5Rgsc451”. As a result, we cannot define the gene or allele
class in the ontology. In this case, each class of gene and
allele seems to have another super-class, termed “gene” and
“allele”, respectively.</p>
      <p>In this study, we dissected the role of a gene and built an
ontology that represents a consistent data model of the basic
concepts of genetics, including genes, alleles, and nucleic
acid molecules.</p>
    </sec>
    <sec id="sec-2">
      <title>DISSECTION OF THE MEANING OF GENE</title>
      <p>In classical genetics, a gene is defined as a “particle-like
thing to define a genetic trait”. Genetic information
conveyed by a gene was thought to have effects on specific
body features or biological functions and to result in
biological variation. To explain the levels of biological variation, a
gene, or a factor that controls a specific trait in a species,
and an allele, or a variant of a gene that produces
phenotypic variations of a trait, must be clearly discriminated in
genetics.</p>
      <p>On the other hand, in molecular biology, genomic
segments are classified according to their roles or features as
genes, non-genics, promoters, exons, introns, and so on. A
gene is defined as a segment that codes one or multiple
products (functional polypeptide or RNA).</p>
      <p>The role of “bearer of genetic information” is essential
for a gene. It is notable that the definition of a gene was
made prior to the discovery of its material basis. To put it
extremely, any molecular entity that bears genetic
information in a “unit of” functional role could be termed a gene.</p>
      <p>The role of a gene can be classified into two categories.
One is the transmission of genetic information from parents
to their offspring. This is driven by a series of biological
processes resulting in the self-replication of nucleic acid
chains. Additionally, through the effects of mutation (the
alteration of genetic information), the self-replication
processes contribute to genetic variation. In this sense, the
hierarchy of gene to allele corresponds to the levels of genetic
variation: namely, inter- and intra-species variations.</p>
      <p>Another role of genes is to encode the design plan of
individual organisms, namely, the coding of gene products.
This function is accomplished by a sequence of biological
processes including gene transcription and the translation of
mRNA to a polypeptide. This role is equivalent to the
regional classification of genomic segments in molecular
biology.</p>
      <p>In summary, the classifications of genomic segments can
be categorized into two dimensions. One is the direction to
increase genetic diversification based on self-replication; the
other is a region-based classification of genomic segments.
These classifications are distinguished by their fundamental
roles in providing different contents of genetic information
through different biological processes. For instance, a gene,
or a species-specific variation in a genome segment that
codes a gene product, can be represented as the point of
intersection of these two systems (Fig. 1).
the content is a sequence of polypeptides or functional RNA
as a design plan.</p>
      <p>The above-mentioned problem, i.e., that the concepts of
gene and allele seem to contain “another super-class” can be
solved if they are regarded as top-level concepts for roles in
a specific context.
3</p>
    </sec>
    <sec id="sec-3">
      <title>DETAILED DISSECTION OF THE ROLES</title>
    </sec>
    <sec id="sec-4">
      <title>OF GENOMIC SEGMENTS</title>
      <p>Next, we further dissected the detailed roles of genomic
segments.
3.1</p>
      <sec id="sec-4-1">
        <title>Similarities and differences between the two kinds of genetic information</title>
        <p>The two kinds of genetic information carried by a gene
are commonly represented by the specific form, or the
functional structure of the polynucleotide molecule. This
structure can be compared to an artificial information bearer in
which symbol sequences (e.g., text) are conveyed on an
information media (e.g., paper).</p>
        <p>In the description of information using text, a “symbol” is
the most fundamental unit. In the English language, the
letter “G” in the alphabet represents an abstract meaning
(informational object) of the symbol “G” with the form of a
line image in the shape of “G”. The coding of genetic
information by a molecule has the same structure. The genetic
information of “G” is representation of the abstract symbol
of “G of the genetic code,” the molecular entity of which
corresponds to a guanine nucleotide. (Mizoguchi 2004)</p>
        <p>Using a sequence of such molecular symbols,
representing the polynucleotide groups, the genetic information
for an organism can be conveyed. This is analogous to a
paper document conveying a representation of a story or a
specification of something using a symbol sequence.</p>
        <p>On the other hand, the content represented by the two
kinds of genetic information is clearly different. With
selfreplication, the content represented is the design plan for the
nucleotide chain as itself. In the coding of a gene product,
3.2</p>
      </sec>
      <sec id="sec-4-2">
        <title>Detailed classification of role for selfreplication</title>
        <p>The roles of self-replication and diversification can be
classified as follows:
(1) Level general to all organisms:</p>
        <p>A molecular entity, such as polynucleotide group, is
termed as a genomic segment and plays a role in
bearing information for self-replication under the
general context of the organism.
(2) Level reflecting the identity of a biological species:
The genomic segment plays a specified role in
bearing species-specific genetic information under the
context of the population of the species (or the gene
pool). At this level, the genomic segment may be
often termed as a genetic marker. In this paper, we call
it an “s-segment”.
(3) Level reflecting inter-species variation:</p>
        <p>Under the context of species populations, another
role exists: encoding inter-species variations. In this
context, the s-segment is referred to as an allele.
3.3</p>
      </sec>
      <sec id="sec-4-3">
        <title>Region-based classification of genomic segments</title>
        <p>On the other hand, under the context of an organism, a
genomic segment, which codes a polypeptide or a functional
RNA, is generally termed as a “gene”. This is not a
speciesspecific gene, as described above. In this paper, we refer to
this context as a “gene type” for discriminatory purposes.
4</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>ONTOLOGICAL MODEL FOR GENE</title>
      <p>
        Based on these analyses, we worked out an ontological
model to describe the concept of gene. We referred to Yet
Another More-Advanced Top-level Ontology (YAMATO),
which represents a basic framework of roles and
representation
        <xref ref-type="bibr" rid="ref6">(Mizoguchi 2004; 2009)</xref>
        . For the modeling tool, we
used the Hozo ontology editor, which enables a systematic
description of role-related concepts and their contexts
(Hozo).
      </p>
      <p>
        With the Hozo ontology editor, concepts are
fundamentally categorized into basic concepts, which can be defined
context-independently, and role concepts to be played by an
entity, which are dependent on a specific context. An entity
playing a role concept is termed as a “role-holder”. For
example, a teacher, a person who plays the role of a teacher
role in a school is a role-holder. The player is selected from
the basic concepts or role-holders
        <xref ref-type="bibr" rid="ref4">(Kozaki et al., 2007)</xref>
        .
      </p>
      <p>Definitions of key concepts in natural language are
shown below and their schematic representation in Hozo is
depicted in Figure 2
Fig. 2. Modeling of gene, allele and genetic information
according to the Hozo ontology editor. A: Class tree of basic concepts.</p>
      <p>B: Composition of organism and population of a species.
(i)</p>
      <p>Genomic segment =def A role holder played by a
molecular entity or polynucleotide group, under the
context of organism.
(ii) Gene type =def A role holder played by a genomic
segment, which has both of the two kinds of
genetic information, i.e., information for
selfreplication and coding of gene product, and
inherited genomic segment under the organism context.
(iii) S-segment =def A role holder played by a genomic
segment under the context of a population of a
species, a Mendelian population.
(iv) Gene =def A role holder played by a gene type under
the context of a population of a species, which is
defined by the specialization of the s-segment.
context</p>
      <p>Legend
Role and role –holder !
(gray text indicates a
role-holder defined in
another context)
cardinality
Kind of a slot!
p/o: part_of!
a/o: attribute_of</p>
      <p>Player!
“(RH)”: player is a</p>
      <p>role holder.!
“#”: equivalent of
punning in OWL2.!
(v) Mutation =def A role holder played by a genomic
segment, which is the terminal state in the process
under the context of the mutation process.
(vi) Variant of s-segment =def A role holder played by a
s-segment under the context of a mutation process
in gene pool.
(vii) Allele =def A role holder played by a variant of an
ssegment under the context of a gene pool of a
population of a species.
(viii)Genetic information entity =def A YAMATO:
representation, composed of a molecular sequence of a
representation form and YAMATO:specification as
a content.
(ix) Molecular sequence =def A YAMATO:symbol
sequence composed of a molecular symbol.
(x) Molecular symbol =def A YAMATO:symbol, which
is a YAMATO:content.
(xi) Representation of molecular symbol =def A
YAMATO:representation, which is composed of a</p>
      <p>radical group as a form and a molecular symbol as
a content.
(xii) Major allele =def A role holder played by an allele
under the context of the population of a species.
(xiii)Loss of function allele =def A role holder played by a
gene allele under the context of an organism.</p>
      <p>Hozo’s reasoner dynamically generates a classification of
role-holders and their players by referring to
interrelationships among slots and class restrictions (Fig. 3).
Because the classification of genomic segment is dependent on
multiple contexts, the inferred hierarchy represents multiple
inheritances of role-holders. Here, the hierarchy
demonstrates the practical orders of classification as
“polynucleotide group =&gt; genomic segment =&gt; s-segment =&gt; allele =&gt;
major allele”, “s-segment =&gt; gene =&gt; gene allele =&gt; loss of
function allele” with the help of roles.</p>
      <p>Fig. 3. An partial “is_a” hierarchy of classes (represented as “W”)
and role-holders (RH) generated by the Hozo-reasoner. One
roleholder appears multiple times in the hierarchy because of multiple
inheritance.
5
5.1</p>
    </sec>
    <sec id="sec-6">
      <title>DISCUSSION</title>
      <sec id="sec-6-1">
        <title>Major outcomes of this study</title>
        <p>
          The meaning of the term “gene” seems to have changed
historically. However, biologists have no difficulty thinking
in Mendelian terms when applying traditional genetic
techniques and are able to switch seamlessly to molecular
conceptions of the gene
          <xref ref-type="bibr" rid="ref2">(Griffiths et al. 2007)</xref>
          . Therefore, the
core concept of “gene” should be considered as being
consistent between classic and molecular genetics. Although
further refinements of the presently reported theory are
needed, the present study may provide a foundation for the
construction of a semantic data model for the concept of
gene applicable to broad fields of life science including
genetics, molecular biology, and population genetics.
        </p>
        <p>
          First, we defined the body of information carried by a
gene using YAMATO, which is a top-level ontology based
on the traditional and commonplace Aristotelian ontology,
such as the Basic Formal Ontology (BFO) and the
Descriptive Ontology for Linguistic and Cognitive Engineering
(DOLCE). The ontology of representation in YAMATO
shows the definition of the general structure for variously
styled “content-bearing informational entities”, or
representations, composed of a representation form and a content.
A physical thing conveying a representation (i.e., books or
electric document files) is defined as a representing thing.
The ontology of representation provides a detailed theory
for the classification and instantiation of these abstract and
physical entities
          <xref ref-type="bibr" rid="ref6">(Mizoguchi, 2004)</xref>
          .
        </p>
        <p>A genetic information entity, which is transmitted from a
parent to its progeny (or from a genomic segment to a
replicated segment) was modeled as a specific combination of a
symbol-sequence pattern of nucleotides and informational
content to specify a one-dimensional structure of itself or a
non-self molecule (gene product). This model revealed the
separation of “information for self-replication”, which all
genomic segments have, and “coding of gene products”,
which only genes have. The modeling of a genomic
segment analogous to a representing thing enables multiple
copies of a specific gene to share the same genetic
information.</p>
        <p>
          Another achievement is the modeling of a multiplex
classification of genomic segments that play different roles in
different contexts. By dissecting the biological role of
genetic information entities and their contexts (i.e., organisms
or biological populations), we demonstrated the systematic
organization of concepts derived from genomic segment
without multiple inheritance. This achievement was
obtained thanks to the Hozo tool, in which the role theory of
YAMATO is well embodied as operations to edit ontologies
          <xref ref-type="bibr" rid="ref4 ref7">(Kozaki et. al. 2007, Mizoguchi 2009, Hozo)</xref>
          .
5.2
        </p>
      </sec>
      <sec id="sec-6-2">
        <title>Related work</title>
        <p>
          Various broad concepts of “gene” have been proposed
among existing biomedical ontologies. For example, the
Sequence Ontology (SO) classifies a gene as a “region”,
which is a “sequence feature” composed of bases and a
polypeptide region composed of amino acids
          <xref ref-type="bibr" rid="ref1">(Eilbeck et al.,
2005)</xref>
          . Other ontologies classify a gene as a biological
macromolecule (Foundational Model of Anatomy Ontology:
FMA), a genetic observation type (Health Level Seven:
HL7), or a genetic interval (Ontology of Genetic Interval:
OGI). Although each of these classifications represents an
aspect of a gene, they do not encompass the meaning
generally accepted. To solve this problem, several efforts have
been undertaken by the OBO Foundry and related groups.
        </p>
        <p>
          Hoehndorf et al. proposed a system of axioms for SO’s
top-level categories based on three primitive terms
(Molecular sequence, Syntactic sequence, and Abstract sequence) to
specify the meaning of sequence-related terms used in the
biological domain
          <xref ref-type="bibr" rid="ref3">(Hoehndorf et al., 2009)</xref>
          . As they
mentioned, because the axiom system is compatible with
multiple top-level ontologies, these primitive terms are equivalent
to a molecular entity as a representing thing, an electric
physical entity as a representing thing, and a
symbolsequence pattern as a representation form in YAMATO.
They provided a detailed mereology of sequences, which is
not provided in the present study. However, they did not
deal with genetic information entity as representation,
which has been addressed here. Consequently, the system
cannot solve the problem of the multiplex classification of
genomic segments.
        </p>
        <p>
          Recently, the SO was revised to define the mereological,
spatial, and temporal aspects of a biological sequence
          <xref ref-type="bibr" rid="ref5">(Mungall et al., 2010)</xref>
          . As an extension of the SO, they
defined a new ontology, the Sequent Ontology: Molecules
(SOM), an ontology for genomic segments to create a
partially isomorphic hierarchy to the SO. However, the class
hierarchy of SO itself cannot solve the above-mentioned
problem for genomic segments. For example, the
relationship, “allele variant_of gene”, does not contribute to the
inheritance of a gene’s attributes in an allele.
        </p>
        <p>Thus, we think our effort is complementary to
sequenceoriented approaches with SO, providing a biological
roleoriented solution for the problem of the multiplex
classification of genomic segments in genetics.</p>
      </sec>
      <sec id="sec-6-3">
        <title>5.3 Toward further cooperation with domain ontologies</title>
        <p>Transferring these merits into the OBO Foundry
ontologies (Smith et al., 2009) is one of the major future issues for
this study. The current version of our ontology is compatible
with several domain ontologies. For example, the top level
of molecular entity is fully compatible with the Chemical
Entities of Biological Interest (ChEBI). However, open
issues to build interoperability with the SO and Information
Artifact Ontology (IAO) remain to be resolved.</p>
        <p>In biological databases, genes and alleles are often
instantiated at the level of an individual gene (e.g., Gdf5 and
Gdf5Rgsc451 allele). This issue is not well addressed in this
paper. From an ontological viewpoint, the following
possibilities can be suggested:
(a) They are instantiated from the view of a meta-model,
as a rough equivalent of the “name” of class
generated by the punning operation in OWL2.
(b) They are instances of the specifications of genes and
alleles. They are described in Fig. 2A as
“specification of genomic segment”, which is a content of
information for self-replication.</p>
        <p>
          We prefer (b) to (a). The specification, as well as the
“plan”, which is a specification of a sequence of actions
mentioned elsewhere
          <xref ref-type="bibr" rid="ref8">(Schulz et al., 2011)</xref>
          , is an instance of
“realizable entity”, which is needed for the existence of
designed entities, including genes. In the self-replication
process, a genomic segment acts as a design plan for itself for
its existence. Therefore, the specification of a genomic
segment is an essential attribute of a genomic segment.
        </p>
        <p>In the SO, a gene is classified as a biological region
defined as a “generically dependent continuant.” This means
that the SO also represents individual genes as instances of
abstract things. To establish inter-operability with the SO
and the IAO, further consideration of specification and its
realization of designed entities is needed.</p>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>ACKNOWLEDGEMENTS</title>
      <p>This work was supported by the Management Expenses
Grant for RIKEN BioResource Center, MEXT.</p>
    </sec>
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