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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Formalizing a General Disease Module</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Fumiaki TOYOSHIMA</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Graduate School of Advanced Science and Technology</institution>
          ,
          <addr-line>JAIST</addr-line>
          ,
          <country country="JP">Japan</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Disease is of vital importance in the biomedical domain. A proper understanding of disease would help to provide a general conceptual framework for the integration of biological and biomedical data. This paper aims to elaborate upon the recent view that, on closer examination of existing ontological models of disease, a disease is generally characterized as a dependent continuant of a clinically abnormal causal pattern. This work will constitute a further step towards the development of an ontological module for generic disease representation.</p>
      </abstract>
      <kwd-group>
        <kwd />
        <kwd>disease ontology</kwd>
        <kwd>causation</kwd>
        <kwd>pattern</kwd>
        <kwd>disposition</kwd>
        <kwd>function</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Biomedicine is nowadays witnessing an unprecedented increasing amount of
diseaserelated data and information. There is accordingly a growing demand for a common
semantic framework in which many pieces of biomedical information are sharable
among different information systems (e.g., databases) in order to maximize opportunities
for medical practitioners to acquire medical knowledge and to improve their clinical
decisions. To surmount this difficulty of semantic non-interoperability is nonetheless a
considerable challenge, partly owing to the lack of broad consensus among biomedical
experts on some key domain concepts: e.g., disease, health, and aging.</p>
      <p>
        The goal of this paper is to seek a general account of disease that can aid in the
building of disease ontologies. To do so, we further the project (originally sketched out
in [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] and later elaborated in [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]) to harmonize two existing ontological models of disease
that have been developed and practically utilized in biomedical ontology research for the
last decade: a dispositional model of disease provided by the Ontology for General
Medical Science (OGMS) [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] and the River Flow Model (RFM) of diseases [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ].2 More
specifically, we expound on the recent finding [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] that a disease can be generally
characterized as a dependent continuant of a clinically abnormal causal pattern.
      </p>
      <p>The paper is organized as follows. Section 2 is devoted to preliminaries to our
inquiry. To put it more concretely, this part specifies basic ontological assumptions and
the scope of our investigation. Section 3 presents the OGMS and the RFM. Section 4
explores the concept of causal pattern which is taken to be the core of disease by both
theories of disease and whose sophistication will constitute a further step towards the
development of an ontological module for generic disease representation. Section 5
concludes the paper with some remarks on future possible directions of research.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Preliminaries</title>
      <sec id="sec-2-1">
        <title>2.1. Basic Ontological Assumptions</title>
        <p>For the sake of the anchoring of a general ontological background, we posit some basic
categories and relations that are relatively widespread in upper ontologies.3 Entities fall
into two kinds: universals (aka types, classes) and particulars (aka tokens, instances).
Particulars (e.g., Mary) bear the instance-of relation to universals (e.g., Human). We
speak mainly of particulars in this paper. Particulars fall into two categories: continuants
(aka endurants) and occurrents (aka perdurants). Continuants can persist, that is to say,
they can exist at one time and also exist at another different time; whereas occurrents
(including events and processes) extend through time (typically while having temporal
parts). 4 Continuants can be further divided into independent continuants (including
objects) and dependent continuants (namely, properties in the broad sense of the term).
Independent continuants, or especially objects (e.g., stones) can be bearers of dependent
continuants (e.g., hardness) and can participate in occurrents (e.g., a fall of the stone).
2.2. Scope
Our investigation is limited in scope because disease is so intensively researched in
various disciplines that we cannot discuss it exhaustively in a single short paper. First,
we will put a main focus on a general notion of disease, but not on any specific diseases,
viz. cancer, pneumonia, and diabetes. Certainly, discussions on those particular diseases
would require fairly specialized knowledge and experience of them, which would reside
outside our area of expertise. On the other hand, we can investigate a generic concept of
disease relatively independently of disease-related domain knowledge. We rather aim at
a theoretical characterization of disease that medical practitioners would have difficulty
in providing, but that is general enough to accommodate their clinical viewpoints.</p>
        <p>
          Second, our approach to disease may have a close affinity with, but nonetheless
differs considerably from philosophy of medicine, which pivots around the debate over
a conceptual analysis of health and disease between the naturalist, normativist, and
hybrid accounts of them.5 Naturalism offers a value-free analysis of disease by taking
bodily dysfunction to be a sufficient condition for it [
          <xref ref-type="bibr" rid="ref7 ref8">7,8</xref>
          ]. Normativism argues for the
determination of the harmfulness of disease by social values [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ]. Hybridism conceives
bodily dysfunction as a necessary, but not sufficient, condition for disease [
          <xref ref-type="bibr" rid="ref10 ref11">10,11</xref>
          ]. On
our view, philosophers of medicine generally examine the nature of clinical abnormality
of disease, or what kind of standard disease consists in deviating from. We will proceed,
3 Borgo and Hitzler [5, p. 3] spell out upper ontologies (aka foundational ontologies) as follows: “(…)
while a top-level ontology is a classification system that deals with general domain-independent categories
only, a foundational ontology is a top-level (formal) ontology that has been built and motivated by the upfront
and explicit choice of its core principles.”
        </p>
        <p>4 As we will see below, formal-ontological discussions on (the sub-classification of) occurrents are
complicated by significantly diverse usages of the terms ‘event’, ‘process’, and ‘state’ offered in the literature.</p>
        <p>
          5 See Lemoine [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ] for problems with a conceptual analytical approach to the definition of disease and
health.
by contrast, while taking the notion of clinical abnormality as primitive. This is mainly
because different criteria for clinical abnormality depend so heavily on different medical
fields and professionals that it would be impracticable to seek a single universal
definition of clinical abnormality (see e.g., [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ] for a similar line of research).
        </p>
        <p>
          Third and lastly, we will discuss the ontological notion of causation in biomedicine,
rather than epistemic notions of causal inference and causal reasoning. One may be more
concerned with causal inference than causation, as in bioinformatics [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ] and public
health [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ]. For instance, Russo and Williamson [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ] point out two types of causal
evidence in the health sciences: the probabilistic evidence (consisting mainly of observed
dependencies in a range of similar studies) and the mechanical evidence (to be used to
explain physical phenomena mechanically). They contend that the unification of both the
mechanistic and probabilistic aspects of the health sciences can be achieved by the
epistemic theory of causation: causal relationships are to be understood in terms of
rational beliefs, or the causal beliefs of an (ideally) omniscient rational believer. An
ontological analysis of causation should not be neglected in biomedicine, however. To
make a substantial contribution to evidence-based practice for healthcare [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ], for
instance, prevailing epistemic approaches to causation must be supplemented with a deep
ontological (e.g., dispositional) understanding of causation [
          <xref ref-type="bibr" rid="ref17 ref18">17,18</xref>
          ] (see [
          <xref ref-type="bibr" rid="ref19">19</xref>
          ] for
criticism).
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Two Existing Ontological Models of Disease</title>
      <sec id="sec-3-1">
        <title>3.1. The Ontology for General Medical Science (OGMS)</title>
        <p>
          One of the most influential ontological models of disease is arguably the one that is
provided by the Ontology for General Medical Science (OGMS) [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ]. The OGMS is
designed to represent the entities that are involved in a clinical encounter in compliance
with the Open Biomedical Ontologies (OBO) Foundry [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ]: a collaborative project to
coordinate ontologies to support biomedical data integration that tends to adopt as a
standard upper ontology Basic Formal Ontology (BFO) [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ]. Characteristic of BFO is
its methodology of ontological realism to view ontologies as representations of the reality
that is described by science [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ] (see [
          <xref ref-type="bibr" rid="ref23 ref24">23,24</xref>
          ] for criticism).6 As the realist methodology
goes, for instance, ontologies can represent cells and electrons, but not unicorns.
        </p>
        <p>The OGMS model of disease hinges upon the BFO category of dispositions. A
disposition is a dependent continuant which exists because of certain features of the
physical make-up (material basis) of the independent continuant (bearer) in which it
inheres and whose instances, in response to some stimulus processes (triggers), can be
realized in associated processes (realizations) of specific correlated types in which the
bearer participates [21, pp. 101-102]. A process therein is a BFO category as well: an
occurrent “that exists in time by occurring or happening, has temporal parts, and always
depends on at least one independent continuant as participant” [21, p. 183].7 Classical
6 “The realist methodology is based on the idea that the most effective way to ensure mutual consistency
of ontologies over time and to ensure that ontologies are maintained in such a way as to keep pace with
advances in empirical research is to view ontologies as representations of the reality that is described by science.
This is the fundamental principle of ontological realism” [22, p. 139].</p>
        <p>7 To avoid ambiguity in the future, we use the notation ‘BFO: process’ to refer to processes in the BFO
sense of the term.
examples of dispositions include fragility (the disposition to break when pressed with a
certain force), solubility (the disposition to dissolve when put in a certain solvent), and
flammability (the disposition to ignite when met with a certain heat source). More
specifically, fragility of a glass is the disposition of the glass that can be triggered by a
BFO: process of pressing with a certain force; that can be realized in a BFO: process of
breaking; and that has as its material basis a particular physical molecule structure of the
glass. Interestingly, dispositions may exist even if they are not realized or even triggered;
e.g., a glass is fragile even if it never breaks or even if it never undergoes any shock.</p>
        <p>
          To introduce the OGMS dispositional account of disease, we present two core terms
of the OGMS. A disorder refers to a material entity which is clinically abnormal and part
of an organism, although its precise definition has been repeatedly changed and seems
to be under development [
          <xref ref-type="bibr" rid="ref25 ref26 ref3">3,25,26</xref>
          ]. A pathological process is a bodily process that is a
manifestation of a disorder, where a bodily process is a BFO: process in which participate
one or more material entities within or on the surface of an organism.8 Pathological
process are recognized through symptoms and signs.
        </p>
        <p>
          For the OGMS, a disease is: “a disposition (i) to undergo pathological processes that
(ii) exists in an organism because of one or more disorders in that organism” [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ]. As a
disposition, a disease has some disorder as its material basis and a disease comes into
existence when its corresponding disorder does, i.e., when the organism disposes towards
its relevant pathological processes. A disease as a disposition may go unrealized, e.g.,
when it lies dormant over a long period of time. A related crucial term is a disease course:
the totality of all BFO: processes through which a given disease instance is realized. A
disease course of a disease ranges widely from potentially asymptomatic early stages of
the disease to its recognizable, pathological processes. For instance, epilepsy as a disease
is a disposition to undergo the occurrence of seizures (pathological processes) that exists
owing to some clinically abnormal, neuronal circuitry of the brain (disorder); and the
disease course of epilepsy would comprise pathological processes of seizures and BFO:
processes of loss of consciousness.
        </p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. The River Flow Model (RFM) of Diseases</title>
        <p>
          The River Flow Model (RFM) of diseases [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ] was proposed as an alternative that
purports to be more friendly to clinicians than the OGMS dispositional account. The
RFM is deeply rooted in the ‘waterfall worldview’ [
          <xref ref-type="bibr" rid="ref27">27</xref>
          ] which is most directly reflected,
of all the upper ontologies, in Yet Another More Advanced Top-level Ontology
(YAMATO) [
          <xref ref-type="bibr" rid="ref28">28</xref>
          ]. As Borgo and Hitzler [5, p. 4] report, YAMATO is “vaguely realist in
spirit”, while it is only indirectly inspired by some philosophical views and prefers a
more pragmatic/engineering approach to ontology. We present two subcategories of
occurrents in YAMATO: processes and states. Roughly speaking, YAMATO: processes
are ‘ongoing occurrents’ that would correspond approximately to the progressive aspect
of the English verb: e.g., “Mary is walking” (see [
          <xref ref-type="bibr" rid="ref29">29</xref>
          ] for close examination of
YAMATO: processes). Contrariwise, YAMATO: states are time-indexed qualitative
occurrents. Examples include being hungry at time t1, sitting at t2, and speeding at t3.
        </p>
        <p>
          The RFM is based on the YAMATO theory of objects according to which an object
is a unity that enacts its external process or an ‘interface’ between its internal process
8 Strictly speaking, a material entity is a BFO category, although the reader can understand it intuitively
in our discussion: “An independent continuant that has some portion of matter as part, is spatially extended in
three dimensions, and that continues to exist through some interval of time, however short.” [21, p. 180].
and external process (see [
          <xref ref-type="bibr" rid="ref27">27</xref>
          ] for details). As an object, for instance, a river has as its
external process changing its course of water flowing (but not water flowing, which is
its internal process). The basic tenet of the RFM is an analogy between a river and a
disease. Just as a river enacts changing the course of the flow of water as its external
process, a disease enacts as its external process a YAMATO: process of, e.g., spreading
and disappearing. While a river is an independent continuant, however, a disease is a
dependent continuant: it depends on an organism as its bearer. Moreover, just as a river
has as its internal process the flowing of water (a YAMATO: process that occurs inside
the river), a disease has as its internal process a number of chains of causal phenomena.
A disease is in this respect constituted of causal chains of phenomena that are detrimental
to the organism from a medical standpoint.
        </p>
        <p>
          The RFM defines a disease as “a dependent continuant constituted of one or more
causal chains of clinical disorders appearing in a human body and initiated by at least
one disorder” [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ]. The term ‘clinical disorder’ initially shared its meaning with the
OGMS conception of disorder. Since its active practical application, however, the RFM
has regarded disease primarily as a dependent continuant constituted of causal chains of
abnormal states [
          <xref ref-type="bibr" rid="ref30 ref31">30,31</xref>
          ]. At first, the term ‘state’ therein referred to a time-indexed
property [
          <xref ref-type="bibr" rid="ref30 ref31">30,31</xref>
          ]; but later it is interpreted as a YAMATO: state through theoretical
sophistication of the RFM [
          <xref ref-type="bibr" rid="ref1 ref2">1,2</xref>
          ]. For instance, diabetes is a dependent continuant whose
causal chains have as part the causal relation between a YAMATO: state of the
deficiency of insulin and a YAMATO: state of the elevated level of glucose in the blood.
        </p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Towards a General Disease Module</title>
      <sec id="sec-4-1">
        <title>4.1. Causation</title>
        <p>
          Toyoshima et al. [
          <xref ref-type="bibr" rid="ref2">2</xref>
          ] propose, through a comparison between the OGMS and the RFM,
that the ontological core of disease be a dependent continuant of a clinically abnormal
causal pattern. We will devote the rest of the paper to further sophistication of this basic
idea. Let us begin by saying that it is a non-trivial point, on which both models of disease
agree, that a disease is a (dependent) continuant, but not an occurrent. A disease is an
entity with which a patient is affected and which medical practitioners identify, diagnose,
and cure. It is something that comes into existence, grows, and finally disappears in the
patient’s body. A disease is therefore an entity that persists in time, i.e., a continuant.
More specifically, a disease is a dependent continuant that inheres in an organism, since
a disease would cease to exist if the organism (i.e., the bearer of the disease) did.9
        </p>
        <p>
          A chief obstacle to an ontological module for generic disease representation is the
concept of causal pattern, which remains nebulous notwithstanding some previous
endeavors [
          <xref ref-type="bibr" rid="ref1 ref2">1,2</xref>
          ] to clarify it. First and foremost, causation is notoriously difficult to
analyze, although it has been recently investigated from the perspective of ‘natural
necessity’ [
          <xref ref-type="bibr" rid="ref33">33</xref>
          ]. Toyoshima et al. [
          <xref ref-type="bibr" rid="ref2">2</xref>
          ] attempt to elucidate the causal character of diseases
in the RFM in light of a functional account [
          <xref ref-type="bibr" rid="ref34">34</xref>
          ] of causation that builds upon a unifying
9 A full-fledged defense of the conceptualization of disease as a continuant (rather than a sequence of
occurrents) may require considering two competing foundational approaches to biological reality:
substantialism (which says that objects are more fundamental than occurrents) and processualism (which says
that occurrents are more fundamental than objects). This issue lies outside the scope of this paper, though; see
Toyoshima [
          <xref ref-type="bibr" rid="ref32">32</xref>
          ] for details.
formal-ontological theory [
          <xref ref-type="bibr" rid="ref35">35</xref>
          ] of function. Given the fact that a disposition is usually
said to be a ‘causal property’, they also argue that the difference between the OGMS and
the RFM is due in part to the one between dispositional and functional approaches to
causation.
        </p>
        <p>
          Here we will scrutinize causation vis-à-vis a general disease module by providing a
more meticulous analysis of the causal difference between those two accounts of disease.
To do so, we will examine dispositions, or in particular what kind of outlooks both
models have on the causal role of dispositions. We start by disambiguating the highly
polysemous term ‘disposition’. Bird [
          <xref ref-type="bibr" rid="ref36">36</xref>
          ] distinguishes between dispositions as
‘predicatory properties’ and (causal) powers as ‘ontic properties’. We will hereafter
follow his usage of the terms ‘disposition’ and ‘(causal) powers’. Predicatory properties
are properties that are defined by almost any predicate; and the predicatory usage of the
term ‘property’ is an ontologically uncommitted, mere façon de parler. As predicatory
properties, for instance, dispositions may be thus grounded in laws of nature (see e.g.,
[
          <xref ref-type="bibr" rid="ref37">37</xref>
          ]). Ontic properties are, by contrast, properties with a distinctive ontological role; and
powers are (ontic) properties with dispositional essence. In stating that a glass is disposed
to break if pressed with a certain force, for example, one is speaking of the fragility
disposition of the glass, but not necessarily its fragility power.10
        </p>
        <p>
          Let us also introduce a few more technical terms regarding dispositions. It has been
recently suggested that the material basis of a disposition be replaced by the more
finegrained notion of categorical basis of the disposition: the sum of categorical
(nondispositional) properties of the disposition bearer [
          <xref ref-type="bibr" rid="ref38 ref39">38,39</xref>
          ]. For instance, the fragility
disposition and the electrical resistivity disposition of a glass should be grounded in
different (sums of) categorical properties of the glass, even though they have as their
material basis the same, whole glass.
        </p>
        <p>There are nowadays several theoretical positions on (the causal role of) dispositions,
among which we present three major ones for the sake of our argumentation:
•
•
•</p>
        <sec id="sec-4-1-1">
          <title>Powerism [40]. The powerist is committed to ontology of powers, i.e.,</title>
          <p>
            properties that have their own causal potency, to the manifestation of which she
attributes causation. Dispositions play a substantial causal role in this world.
Functionalism [41, Chapter 9]. The functionalist takes dispositions to be
functional properties such that they have some first-order property (e.g., their
categorical basis) that plays a causal role with respect to their inputs (triggers)
and their outputs (realizations). She reduces the alleged causal role of
dispositions to the one of properties to which they are functionally related.
Categoricalism [
            <xref ref-type="bibr" rid="ref42">42</xref>
            ]. The categoricalist regards dispositions as mere reflections
of their categorical basis that acts in accordance with laws of nature. In other
words, the purported causal role of dispositions would be eliminatable because
it boils down to lawful dynamics of their causally inert, categorical properties.
Reinterpreted from this point of view, the causal difference between the OGMS and the
RFM would be concordant with the difference between the powerist and functionalist
theories of the causal role of dispositions. The OGMS espousal of powerism can be
10 In this paper we use the term ‘property’ to refer to ontic properties. For instance, the property of being
green or not green is outside the scope of our ontological study because it is merely predicatory (e.g., “This
apple is green or not green.”) but it is not ontic.
observed by the BFO explicit commitment to the causal potential of dispositions.11 The
RFM endorsement of functionalism is also vindicated by the aforementioned functional
clarification of the causal feature of diseases in the RFM [
            <xref ref-type="bibr" rid="ref2">2</xref>
            ].
          </p>
          <p>
            Quite importantly, the functionalist understanding of dispositions may be vital for
effective applications of ontology of dispositions. For a general and theoretical reason,
Barton et al. [
            <xref ref-type="bibr" rid="ref39">39</xref>
            ] maintain that two dispositions are identical if and only if they have the
same categorical basis, the same class of minimal triggers, and the same class of maximal
realizations, where the class of minimal triggers of a disposition d is the class of triggers
of d for which no proper part is a trigger of d; and the class of maximal realizations of d
is the class of realizations of d which are not proper parts of another realization of d.
Intuitively, to identify a disposition, one needs to understand the relevant aggregate of
categorical properties, the ‘smallest causal factor’ which exceeds the threshold value for
causation, and the resulting whole causal chain of BFO: processes (which would
correspond, e.g., to the disease course of a disease disposition in the OGMS). This
identity condition of dispositions is closely intertwined with the functionalist’s focus on
the input-output relationship that she takes to be inherent in dispositions.
          </p>
          <p>
            For a domain-specific and practical reason, the builders of an OBO ontology the
Cardiovascular Disease Ontology (CVDO) [
            <xref ref-type="bibr" rid="ref43">43</xref>
            ] suggest that the OGMS be supplemented
by an informal methodological rule (which they call ‘First-Disorder Rule’) to determine
the material basis of the disease disposition: “The material basis of a disease D is the first
disorder in the causal chain of disorders in which D appears (or the first disorder that
immediately follows the last material basis of any disease preceding D in this causal
chain, in case such diseases exist)” [43, p. 413]. To take their example, the First-Disorder
Rule says that the material basis of a restrictive cardiomyopathy may be a genetic
mutation (for a genetic restrictive cardiomyopathy) or iron overload in the ventricles (for
a restrictive cardiomyopathy due to hemochromatosis). This proposal can be construed
as a kind of functionalist emphasis on the practical relevance of the causal role of some
first-order entity that pertains to (second-order) dispositions. It is well worth remarking
that, since it conceptualizes disease mainly as causal chains of abnormal states, the
supposedly clinician-friendly RFM can be seen as a functionalist variant of the
supplementation of the OGMS with the First-Disorder Rule.
          </p>
          <p>
            All those considerations would lead us to propose that a causal foundation for a
general disease module be provided through some practical harmonization between
powerism and functionalism, granted that the OGMS and the RFM both respect the
causal role of dispositions, whether in the powerist’s direct way or in the functionalist’s
indirect way. Notice that categoricalism is off the table presumably because causation
should be better characterized dispositionally than lawfully in the biomedical domain.
For one thing, the disposition concept is central to medical information sciences [
            <xref ref-type="bibr" rid="ref44">44</xref>
            ].
For another, dispositions serve as such a useful conceptual tool for the analysis of the
explanatory practice in the biological sciences [
            <xref ref-type="bibr" rid="ref45">45</xref>
            ] that a dispositional theory of
causation captures well the dynamicity, continuity, and context-sensitivity of biological
phenomena [
            <xref ref-type="bibr" rid="ref46">46</xref>
            ]. Finally, it is interesting to note that the OGMS powerist and the RFM
functionalist views of dispositions might come down to the BFO ‘robust realist’ and the
YAMATO ‘pragmatic realist’ approaches to ontology, respectively.
          </p>
          <p>
            11 “Incorporation of dispositions into the BFO ontology provides a means to deal with those aspects of
reality that involve possibility or potentiality without the need for complicated appeals to modal logics or
possible worlds” [21, p. 102, our italicization added].
Careful investigation into patterns is necessary in order to develop a general disease
module [
            <xref ref-type="bibr" rid="ref1 ref2">1,2</xref>
            ], although they remain an elusive ontological category [
            <xref ref-type="bibr" rid="ref47">47</xref>
            ]. Here we
leverage Galton’s [
            <xref ref-type="bibr" rid="ref48">48</xref>
            ] analysis of processes as alleged ‘ongoing occurrents’ (i.e.,
YAMATO: processes) based on his valuable insights into patterns. For the sake of
consistency between his terminology and ours, we will employ the term ‘process’ to refer
to YAMATO: processes and the term ‘event’ to refer to occurrents in general. For
instance, BFO: processes would correspond approximately to events in our terminology.
          </p>
          <p>Galton begins by distinguishing between open patterns and closed patterns of spatial
patterns and illustrates them with a wallpaper pattern and a dress pattern, respectively.
Open patterns can have a potentially infinite repetition (e.g., of some basic motif of the
wallpaper pattern), while closed patterns must have fully specified demarcations (e.g., a
particular arrangement of certain specific planar shapes of the dress pattern). “Both open
and closed patterns are abstract specifications of certain possible physical arrangements;
they are realized by actual physical structures in the world, arranged according to the
specification. However, open and closed patterns are realized in different ways. An open
pattern may be thought of as a way of filling space or covering a surface (…). A closed
pattern (…) is a way of building a finite structure such as a dress” [48, p. 43].</p>
          <p>Galton then characterizes processes as temporal analogues of spatial patterns:
“processes are higher-level, abstract patterns that are realized concretely as states or
events” [48, p. 42]. Two kinds of spatial patterns naturally yield two kinds of temporal
patterns and processes: open processes and closed processes. “Just as an open spatial
pattern specifies a way of covering or filling space, so an open temporal pattern specifies
a way of filling (or spending) time. Such a pattern is an open process; if it has an agent,
then it may be described as an activity of the agent. (…) A closed spatial pattern specifies
the spatial structure of a kind of object. By analogy, a closed temporal pattern specifies
the temporal structure of a kind of event. Such a pattern is a closed process; if it has an
agent then it may be described as a kind of action” [48, p. 46]. Examples of open and
closed processes include walking simpliciter and filling in a form, respectively.</p>
          <p>
            To investigate causal patterns in biomedicine, we assume two findings that previous
formal-ontological studies on causation generally have in common (see [
            <xref ref-type="bibr" rid="ref33">33</xref>
            ] for a general
survey). First, causation is (or at least can be represented as) a binary relation between
events. When pressing with a certain force caused a glass to be broken, for instance, the
event of the pressing the glass with a certain force caused the event of the breaking of
the glass. Second, the most paradigmatic kind of causation is arguably what we may call
‘canonical causation’ [
            <xref ref-type="bibr" rid="ref33 ref49">33,49</xref>
            ]. Being observable in the macroscopic world (where
classical physics holds), canonical causation is so-called ‘forward causation’ (where the
cause occurs earlier than its effect), physical causation (which is roughly entirely
explicable in physical terms), and non-probabilistic causation (whose occurrence is
necessary, as compared to probabilistic causation such as landing on heads of a coin
caused by its toss). For our argumentative purpose, we also postulate simultaneous
causation (which biomedical experts usually perceive), although it is philosophically
controversial (see e.g., [
            <xref ref-type="bibr" rid="ref50">50</xref>
            ]). Simultaneous causation is the same as canonical causation,
except that the cause occurs at the same time as its effect. Typical examples comprise
the correlation between a sperm and an egg: an egg becomes fertilized only when
combined with a sperm and vice versa.
          </p>
          <p>
            We hypothesize that, at least insofar as disease ontology is concerned, simultaneous
and canonical causation would be, for the most part, interwoven with open and closed
processes, respectively. Consider the fact that a clinically normal organism maintains
homeostasis: the state in which the body reacts to changes in order to keep bodily
conditions (e.g., temperature) the same.12 Seen macroscopically, homeostasis is based on
highly complex causal interactions between bodily organs and it can be seen as a
realization of an open process whose repeating motif consists of coordinated activities
of the physiological system. When an organism contracts a disease, however, the
development of the disease would be well characterized in terms of causal chains of
clinically abnormal events and it would be a realization of a closed process whose
specific pattern is determined by the disease in question. This view would contribute to
elucidation of the idea of clinical threshold (which the OGMS and the RFM both embrace,
according to Toyoshima et al. [
            <xref ref-type="bibr" rid="ref2">2</xref>
            ]), namely the level at which a pathological state of
affairs begins to develop, in such a way that a clinical threshold can be characterized as
an ontological shift from clinically normal simultaneous causation (resp. open process)
to clinically abnormal canonical causation (resp. closed process).
          </p>
          <p>
            Since we argued for the importance of the causal role of dispositions for a general
disease module in Section 4.1, let us finally see causation and temporal pattern from a
dispositional perspective. We think that the pair of simultaneous causation and open
process (resp. canonical causation and closed process) can be well modelled upon mutual
realization of reciprocal dispositions (resp. solitary realization of a unilateral disposition)
[
            <xref ref-type="bibr" rid="ref49">49</xref>
            ]. 13 The traditional solitary-realization model [
            <xref ref-type="bibr" rid="ref38 ref39">38,39</xref>
            ] of dispositions has been
effectively deployed in biomedical ontology (see e.g., [
            <xref ref-type="bibr" rid="ref52">52</xref>
            ]). The aforementioned
dispositions such as fragility, solubility, and flammability are unilateral. Canonical
causation is generally explicable in terms of the relation between the trigger and the
realization of a disposition: e.g., the event of pressing a glass with a certain force
triggered fragility of the glass, which was in turn realized in the event of the breaking of
the glass. In formal ontology, by contrast, the idea of reciprocal dispositions was
examined under the name of ‘complementary dispositions’ [
            <xref ref-type="bibr" rid="ref53">53</xref>
            ] and it has been recently
formalized as an extension of the solitary-realization approach [
            <xref ref-type="bibr" rid="ref54">54</xref>
            ]. 14 Examples of
reciprocal dispositions include the disposition of a key to open a lock and the disposition
of the lock to be opened by the key. Simultaneous causation would be explained by the
causal interrelationship between reciprocal dispositions, although we do not delve into
details owing to spatial limitations (see [
            <xref ref-type="bibr" rid="ref49">49</xref>
            ] for details). The main findings to be obtained
from this section are briefly summarized in Table 1.
12 We are using the term ‘state’ in its general sense while remaining neutral on whether it designates a
YAMATO: state or not. See Section 5 for some preliminary thoughts on states.
          </p>
          <p>
            13 We use the phrases ‘mutual realization of reciprocal disposition’ and ‘solitary realization of a unilateral
disposition’ taking a cue from Williams’s [
            <xref ref-type="bibr" rid="ref51">51</xref>
            ] terminology, although our argument has no direct bearing on
his.
          </p>
          <p>
            14 In philosophy of dispositions or powers, Martin [
            <xref ref-type="bibr" rid="ref55">55</xref>
            ] originally invented the mutual-realization model
of dispositions to replace with it the orthodox solitary-realization one, though.
          </p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusion and Future Work</title>
      <p>
        In summary, we proceeded with the orchestration of two existing ontological models of
disease, namely the OGMS and the RFM, to take a further step towards the construction
of an ontological module for generic disease representation. In particular, we strove to
clarify the idea of (clinically abnormal) causal pattern which had remained unexplored
in previous works [
        <xref ref-type="bibr" rid="ref1 ref2">1,2</xref>
        ] notwithstanding its centrality to a general notion of disease.
Consequently, we identified the task of the harmonization between the OGMS powerist
and the RFM functionalist approaches to (the causal role of) dispositions. In addition, we
specified the relationship (as visualized in Table 1) between causation, its corresponding
temporal pattern, and its dispositional modeling with regard to disease ontology.
      </p>
      <p>
        There remain nonetheless many thorny questions to be answered so that a
fullfledged general disease module will finally obtain. We end the paper by hinting at a
promising strategy for tackling some future issues. The first thing to note is that, based
on our work in Section 4.2, we would be able to connect YAMATO: processes and BFO:
processes in such a way that the former are abstract patterns whose concrete realizations
are the latter. For this finding to be fully utilized in our inquiry into disease, however,
close examination of states is clearly warranted because states (as well as processes) play
a key role in the RFM. Galton [
        <xref ref-type="bibr" rid="ref48">48</xref>
        ] identifies two kinds of states (which would be
concordant with the multiple usages of the term ‘state’ in a biology textbook [
        <xref ref-type="bibr" rid="ref56">56</xref>
        ]):
•
•
      </p>
      <sec id="sec-5-1">
        <title>States as continuants. An ‘instantaneous state’ of some thing or situation, as</title>
        <p>given by the values assumed at one time by some of its variable properties. E.g.,
the position and momentum of a particle in physics.</p>
        <p>States as occurrents. A ‘state situation’, described as unchanging with respect
to some selected. property or combination of properties. E.g., the state of the
water temperature being 50 degrees Celsius.</p>
        <p>
          As Toyoshima [
          <xref ref-type="bibr" rid="ref49">49</xref>
          ] says, continuant-states and occurrent-states can be ontologically
analyzed as subtypes of the BFO categories of quality and process, respectively, such
that states-as-BFO: qualities are more fundamental than states-as-BFO: processes. On
the other hand, states should be conceived centrally as occurrents in YAMATO [
          <xref ref-type="bibr" rid="ref1 ref2">1,2</xref>
          ].
One of the interesting implications of this observation for our ontological modeling of
disease is that a primary clinically abnormal entity is a state. As said, the RFM ascribes
clinical abnormality to YAMATO: states. Although the present OGMS says that a
disorder (a BFO: material entity) is clinically abnormal, the replacement of the material
basis of a disposition by its categorical basis (see Section 4.1) would prompt us to
reconceptualize a clinically abnormal entity in the OGMS as some state-as-BFO: quality,
although this would require considering carefully mereology of properties (see e.g., [
          <xref ref-type="bibr" rid="ref57">57</xref>
          ]).
It is generally expected that further foundational investigation into occurrents (processes
and states) will facilitate significantly the OGMS-RFM harmonization.
        </p>
      </sec>
    </sec>
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