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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Ontological Modelling of Situational Awareness in Surgical Interventions</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>Innovation Center for Computer Assisted Surgery, University of Leipzig</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Institute of Medical Informatics, Statistics and Epidemiology, University of Leipzig</institution>
        </aff>
      </contrib-group>
      <abstract>
        <p>Optical navigation systems are the means of choice to overcome spatial association problems of the endoscopic imaging in minimally invasive surgery. Using optical markers, the patient's real position, his medical imaging data and surgical tool locations are mapped into the same workspace. Such visual-based assistance systems however, suffer from their technical requirements. The BIOPASS project aims to develop a navigation system based on a novel marker less localization method that uses only the current surgical situation and the procedure's history to identify the present anatomy. The ontology, presented in this paper, plays an integral part in this system as it translates the situational information of a surgical procedure into an internal machine-readable representation. This representation combines multimodal sensor data, e.g. endoscopic images, endoscope movement or surgical work steps, to allow a classification of the apparent situation and provide navigation support based on identified anatomical landmarks and work steps. Furthermore, it is a foundation of situational awareness based on spatiotemporal reasoning.</p>
      </abstract>
      <kwd-group>
        <kwd />
        <kwd>Data streams</kwd>
        <kwd>Endoscopic surgery</kwd>
        <kwd>Formal ontology</kwd>
        <kwd>Minimally invasive surgery</kwd>
        <kwd>Situational Awareness</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        Optical surgical navigation systems significantly reduce the cut-seam-time leading to
improved post-operative results [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. However, training and experience is needed for the
registration process, and the overall optical marker setup is time-consuming and limiting
the nasal access path [
        <xref ref-type="bibr" rid="ref2 ref3">2,3</xref>
        ]. Furthermore, navigation systems are not a replacement for
surgical skills and anatomical knowledge. The BIOPASS project, therefore, develops a
novel localization approach for marker less navigation systems, to potentially reduce the
navigation hardware while assisting the surgeon's cognition with self-learning and
adaptive assistance [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. The approach uses process and image databases of learnt surgical
procedures to intra-operatively identify anatomical landmarks. Novel sensors developed
in this project provide additional information, which further enrich classifier data. Thus,
the system creates multimodal data streams that we had to integrate into a unified view,
which allows interpretations grounding a situational decision support. An overall
description of the project's intention and architecture is given in detail in [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
      <p>
        The BIOPASS Situation Ontology (BISON) functions as data model that unifies the
apparent endoscope location and the current work step [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] in the context of an executed
surgical intervention based on traversable anatomical landmarks and corresponding
procedural data. BISON used the Foundational Model of Anatomy [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] as its domain
ontology according to the three ontology method [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]; according to which BISON is a
conceptual schema. Moreover, it holds the implementation of an axiom set, which leads
to situational awareness as needed by the domain experts, for which the system has been
tailored, as well as by the system itself to ensure its data integrity. Figure 1 outlines the
process of data stream classification and the subsequent reasoning tasks after which the
situations are saved into a situation database that extends the formerly mentioned process
database. The needed anatomical and procedural concepts have been implemented
prototypically for the use case of functional endoscopic sinus surgery (FESS). This work
was supported by the BMBF sponsored project BIOPASS (FK: 16SV7254K).
      </p>
    </sec>
    <sec id="sec-2">
      <title>1. Methods</title>
      <p>
        1.1. General Formal Ontology
The modelling of situational knowledge is carried out within the framework of the
General Formal Ontology (GFO) being developed at the University of Leipzig [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], the
basic features of which are summarized in the following. GFO provides an elementary
classification of the entities of the world and explicates primary relations between them.
The basic ontological distinction in GFO is between categories and individuals.
      </p>
      <p>Concepts are a special type of categories that have a close relation to language;
predicate forms, being expressions of a natural or formal language, describe them.
 ,  and  are their categorization of individuals. A continuant
persists through time and has a lifetime, whereas a Process happens in time and is said
to have a temporal extension. A continuant’s lifetime is a process, thus, we consider
continuant as well as processes as being processual individuals. At any time point of this
lifetime, a continuant  a uniquely determined entity, called presential, which is
wholly present at this time point.</p>
      <p>
        There is a basic classification of processes with respect to their structural
constitution in GFO. At two coinciding process boundaries, which are described in [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ],
a  _ ℎ occurs within a process such that two properties instantiating the
same attributive are exhibited with different property values. A  _  is
composed of discrete changes and states, which are processes without any change. A
 _ is  _ some process and played by some individuals via  _ ,
for details see [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
      </p>
      <p>
        A  is a temporally extended part of the world, which can be understood as a
whole. A  can be understood as the  _ a situoid to a timepoint. A
 _ _ a situoid (resp. situation) is an object involved in it. These notions
rely partially on the situation theory in [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
      </p>
    </sec>
    <sec id="sec-3">
      <title>2. Spatiotemporal Classification</title>
      <p>
        An ontology, which is adequate for the given use case, must find a way to describe
spatiotemporally changing entities. To achieve such a representation, we utilized layers
as shown in figure 2. Since BISON has been implemented in OWL [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], we have to
distinguish between the instantiation of concepts according to GFO and the instantiation
of classes according to OWL. To avoid ambiguities, the first relation will be denoted by
the term  _ , as it is defined in GFO, and the latter by the term  _ .
      </p>
      <p>Knowledge shared between all components of the BIOPASS system is encoded in
the conceptual layer. The elements of the class  _ reflect process models
that specify the workflow of specific surgical interventions. A constituent  of a surgical
concept  is an element of the class  _ and  ’s instances can occur
during an instance of  . The object property  _ _ _ relates an
anatomical concept  to an anatomical concept  if it is expected that all instances of 
are following some instance of  . Thus, this relation yields representations of surgical
process models as graphs. The descriptions of specific FESS interventions were analysed
to generate such conceptual graph, which, combined with BISON, is a task ontology.</p>
      <p>The processual layer holds all entities that are processual as defined earlier. The
elements of the class    _ are situoids and specific to a patient on
which they are executed. If a surgical intervention  is instance of a surgical concept  ;
 and  ′s parts are generated automatically according to  ′s conceptual graph when a
surgeon has chosen to execute this kind of surgical intervention. Thus, surgical concepts
define templates for surgical interventions in general. The generated parts of a surgical
intervention are elements of the class  _  being a subclass of 
and instances of anatomical concepts. The conceptual order of the corresponding
anatomical concepts is reflected via the object property  _ .</p>
      <p>The presentic layer represents the content of endoscopical images and sensor data
provided by the system. Each element of the class  _ is a partially
reconstructed physical situation based on this data and it  _ a possibly
existing predecessor. A new situation is created if: (a) landmark changes have been
detected by the image processors, (b) the sensors detected a movement of the endoscope.
In case of (a), elements of the class  _ are generated and asserted to
be constituent parts of the surgical situation as wells as exhibited by an anatomical object
that is part of the executed surgical intervention. In case of (b), the direction in which the
endoscope has been moved is asserted, i.e. the situation  _ a discrete
process according to GFO, i.e. a  _ resp.  _ .</p>
    </sec>
    <sec id="sec-4">
      <title>3. Ontological Reasoning</title>
      <p>
        During a surgical intervention, it is necessary to rule out incorrectly detected anatomical
structures. This function is implemented by the inference of movements presented in [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ].
There, we presented conditions able to determine if a situation happened during a
forward resp. backward movement. We developed a specialized ontology design pattern
for temporally changing entities based on BISON and an axiomatization to express the
notions of forward and backward movement. Moreover, we introduced the OWL classes
 _ _ and  _ _ _ , the elements of
which are resp. are not constituent parts of the most current situation. Both are logical
concepts as defined in [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]. Thereby, BISON is able to reject incorrect information with
the help of the constraint that a situation can either participate in a forward movement or
in a backward movement. A detected anatomical structure that causes the dataset to be
inconsistent will not be a constituent part of the most current situation.
      </p>
      <p>The BIOPASS system will provide a decision support option that suggests the next
landmarks that have to be visited by the surgeon based on a classifier. However, it is
nearly impossible that statistical predictions will have full precision. Hence, BISON
infers all anatomical structures that can be visited in the following surgical situation to
enhance the classifiers’ precision further. An anatomical object having the disposition to
exhibit an anatomical structure that is a constituent part of the following surgical situation
is a  _ _ , which is a logical concept and defined in Eq. (1).
Nearby_anatomical_object ≡ Not_occuring_anatomical_object and spatially_follows
some Occuring_anatomical_object
(1)</p>
      <p>It is necessary to determine the role of anatomical structures that are visible in the
most current endoscopical image. The two most important roles in FESS are: (a)
landmark, which defines the need to be visited during a particular surgical intervention,
and (b) risk structure, which defines an easily damageable anatomical structure. If the
BIOPASS system can infer that an individual plays such processual role, it can display
them accordingly and show warning messages. We introduced the object properties
 _ _ and  _ _ and used them to solve this problem of
role assignment.</p>
      <p>Assume an anatomical concept  that categorially plays role  , which is a
 _ and categorial role of a surgical concept  . For each  ′ that is an instance
of  , there will be role  ′, which is an instance of  and role of  ′, and an anatomical object
 ′, which is an instance of  and plays  ′. By this definition, BISON can support
processual roles as part of the conceptual layer with corresponding subclasses of
 _ . Eventually, we could introduce the OWL class  _
and  _ _ as in Eq. (2) resp. analogous to Eq. (2). However, risk
structures are mostly not visible in an endoscopical image, i.e., if they are behind an
anatomical landmark. Thus, Eq. (3) is a secondary definition of this notion.
Anatomical_landmark ≡ Anatomical_structure and exhibited_by some</p>
      <p>(Occuring_anatomical_object and plays_role some Landmark_object)
Anatomical_object and plays_role some Surgical_risk_object and spatially_follows
some Occuring_anatomical_object
⊑ exhibits some Anatomical_risk_structure
(2)
(3)</p>
    </sec>
    <sec id="sec-5">
      <title>4. Conclusion</title>
      <p>In this paper, we introduced BISON, a situation ontology that implements a formalized
description of minimally-invasive surgical procedures based on situational information
extracted from endoscopic, procedural and sensory data. BISON utilizes ontological
layers, which are implicitly provided by GFO. These layers specify the conceptualization
of incorporated knowledge entities, their procedural characteristics, and, furthermore,
their situational manifestation. BISON was implemented in a web application module to
infer several process-related properties, e.g. anatomical landmark consecutiveness and
plausibility as well as endoscope movement. Subsequent work steps will include the
extension of situation concepts and their presentic manifestations as well as the
abstraction of reasoning output into a comprehensible, user-friendly verbalization of the
surgical situation. Furthermore, the elaboration of movements and direction is still in a
raw state and yields fundamental ontological problems that will be investigated in future
works.</p>
    </sec>
    <sec id="sec-6">
      <title>5. References</title>
    </sec>
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