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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Development of a Clinical Decision Support System</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Anna Kleinau</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alex Mo</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Juliane Müller-Sielaf</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Johanna M. A. Pijnenborg</string-name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Peter J. F. Lucas</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Stefen</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oeltze-Jafra</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="editor">
          <string-name>Bayesian Networks, Clinical Decision Support Systems, Human Computer Interaction</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Center for Behavioral Brain Sciences (CBBS)</institution>
          ,
          <addr-line>Magdeburg</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>DMB Department, University of Twente</institution>
          ,
          <addr-line>Enschede</addr-line>
          ,
          <country country="NL">The Netherlands</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Department of Neurology, Otto von Guericke University Magdeburg</institution>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Department of Obstetrics and Gynaecology, Radboud University Medical Center</institution>
          ,
          <addr-line>Nijmegen</addr-line>
          ,
          <country country="NL">The Netherlands</country>
        </aff>
      </contrib-group>
      <fpage>67</fpage>
      <lpage>78</lpage>
      <abstract>
        <p>Scientific progress is ofering increasingly better ways to tailor a patient's treatment to the patient's needs, i.e., better support for optimal clinical decision-making can be ofered. Choosing the appropriate treatment for a patient depends on numerous factors, including pathology results, tumor stage, genetic, and molecular characteristics. Bayesian networks are a type of probabilistic artificial intelligence, which in principle would be suitable to support complex clinical decision-making. However, most clinicians do not have experience with these networks. This paper describes an approach of developing a clinical decision support system based on Bayesian networks, that does not require insight knowledge about the underlying computational model for its use. It is developed as a therapy-oriented approach with a focus on usability and explainability. The approach features the computation and presentation of individualized treatment recommendations, comparison of treatments and patient cases, as well as explanations and visualizations providing additional information on the current patient case.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>The last few decades, clinical management of disease in patients has become increasingly
complicated. There are more diagnostic tests and more treatment options available than ever
before and knowledge about particular disorders has further deepened. In the case of personalized
treatment, the specific nature of the disease, the patient (using increasingly often disease- and
patient-specific genetic markers), and the patient’s environment are taken into account. The
aim is to ofer</p>
      <p>
        optimal disease management for the individual patient in the face of recent
scientific evidence. Often this clinical trend is referred to as
personalized medicine [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
      </p>
      <p>In the past, proper clinical management of a patient’s disease was mainly the responsibility
of the individual medical specialist, who made decisions based on clinical experience and
expertise. In the modern era, scientifically trusted clinical knowledge on the management of
specific diseases is gathered by organizations of clinical specialists. These organizations develop
AIxIA 2021 SMARTERCARE Workshop, November 29, 2021, Milan, IT
(J. M. A. Pijnenborg)
© 2021 Copyright for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).
CEUR
Workshop
Proceedings
clinical guidelines, textual descriptions of the optimal management of specific disorders, that
support the selection of appropriate diagnostic or treatment actions, based on signs, symptoms,
and laboratory test results. Through the inclusion of prediction equations among much text,
guidelines may ofer some flexibility to personalize advice. However, most of a guideline is just
extensive, non-interactive text.</p>
      <p>
        An alternative to clinical guidelines are clinical decision support systems (CDSS). These
computerbased systems are interactive and support clinical decision-making based on evidence regarding
an individual patient, employing one or more prediction models that capture knowledge of one
or more disorders. In particular, Bayesian networks are considered to be promising formalisms
to capture clinical knowledge, as they can represent the associated uncertainty readily, and
support the representation of conditional and causal knowledge in a natural fashion. Whereas
Bayesian networks appear to ofer potential as clinical decision models, it is still necessary to
design and develop the functionality of the software used to consult a given network to help in
decision-making. Although software for computing probabilities from Bayesian networks is
available (e.g. Hugin [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] and Ergo [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]), the functionality of such software is not geared to the
needs of a clinician who typically wishes to use a Bayesian network model in the context of
a clinical consultation without possessing a full understanding of the inner workings of the
computational model.
      </p>
      <p>
        The present paper discusses the requirements, design, and a validation study of a CDSS based
on Bayesian network models. CDSS can take many diferent forms and functions. Among
others, they can support the clinician in finding the right diagnosis or treatment of a patient’s
disorder; providing intelligent alarm (e.g. avoid drug adverse efects) is an application that
would help in improving patient safety [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. The actual work presented in this paper focuses
on a single disorder, endometrial cancer, and an associated Bayesian network, the ENDORISK
Bayesian network, that was developed recently [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. All the work was done in close collaboration
with clinicians, in particular with gynaecologist-oncologists with specialized knowledge of
endometrial cancer.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Research</title>
      <sec id="sec-2-1">
        <title>2.1. Current Software Solutions</title>
        <p>To allow computational models to be used in clinical practice, they need to be integrated into
daily work. Usually this means some kind of integration with the electronic patient record
system (EPRS), but as there are many commercial EPRS on the market, rendering this is a major
undertaking. It is therefore attractive to focus on web-based software solutions, as these are
nowadays easily accessible from any computer operating system. An existing example is the
web-based software tool Evidencio1, which ofers centralized access to computational prediction
equations for particular disorders. Its aim is to bridge the gap between the scientific literature,
where these equations are described, and their use by providing access to working models.</p>
        <p>
          Software specifically constructed for Bayesian networks as the computational model is often
all-in-one software that supports both the creation of Bayesian networks as well as inference.
Software such as Hugin [
          <xref ref-type="bibr" rid="ref2">2</xref>
          ], Netica 2, Ergo [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ], and GeNIe [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ] provide functionality to construct
Bayesian networks, as well as inference methods and a user interface to consult the network.
However, they are mostly developed domain-agnostic and do not have features specific for
clinical decision support.
        </p>
        <p>CDSS approaches specifically constructed for Bayesian networks as knowledge bases are
sparse. A broad approach is chosen by Zagorecki et al. 3 with their symptom checker app
Symptomate4. Through a simple interface, the user can anonymously enter various symptoms
and get a diagnosis as a result. The system works with a broad range of diseases. It is supported
by a large Bayesian network and does not assume much medical knowledge of the user.</p>
        <p>
          Müller et al. [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ] proposed a CDSS approach that was an important inspiration for the
here presented approach. Their work highlights the importance of transparent, explainable
recommendations in CDSS and presents an approach to score the relevance of evidence items
for a recommendation. Additionally, an interactive software based on visualizations of these
relevance scoring is presented. The software was developed in the context of laryngeal cancer
therapy but can work with diferent Bayesian networks. The ENDORISK network was used to
demonstrate the generalizability of the approach.
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. Explainability of Bayesian Networks</title>
        <p>Explaining the reasoning behind inferences from Bayesian networks is a complex task but crucial
to generate trust. Bayesian networks work with probabilities and conditional probabilities. The
nodes in a network are structured causally, but influence each other in all kinds of directions.</p>
        <p>
          Yap et al. [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ] developed a text-based approach that explains a node using the most important
nodes in its Markov blanket. If some of those nodes are inferred, the user can get explanations for
them using recursion. A disadvantage of the approach is that the algorithm does not memorize
the nodes that were already used as explanation for the current node.
        </p>
        <p>
          Timmer et al. [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ] solved this problem in their argumentation-based approach by saving for
each node a forbidden set of nodes containing all nodes that cannot be used anymore in an
explanation.
        </p>
        <p>
          Shi et al. [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ] proposed decision graphs based on just the evidence nodes that reason
equivalently to the Bayesian network. The chosen path is used to display just the most important
evidence nodes for the current decision.
        </p>
        <p>
          Müller et al. [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ] presented a relevance-based approach that assigns a relevance value to each
evidence item and subsequently imposes an ordering of items by importance. This approach is
especially close to the reasoning process of clinicians in clinical decision-making. This relevance
computation is used in this work.
        </p>
        <p>2https://norsys.com/netica.html
3https://norsys.com/netica.html
4https://www.symptomate.com</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Background</title>
      <sec id="sec-3-1">
        <title>3.1. Bayesian Networks</title>
        <p>A Bayesian network  = (,  )</p>
        <p>is a directed acyclic graph   = ( , ) , with  a set of nodes and
 ⊆  ×</p>
        <p>
          , a set of directed edges, with an associated joint probability distribution   . Each node
 ∈  of the network is linked to a random variable   , and there is a one-to-one correspondence
between the set of nodes  and variables  :  ↔  . Each varable   ∈  can take diferent states
  . A variable   has an associated table stating a family of conditional probability distributions:
how probable each state   of the variable   is depending on the states of its parents,  pa() , i.e.,
pa() are the nodes from which the node  has incoming edges [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ]. Alternatively, it is said that
the node  is the child of each of the nodes in the parents pa() .
        </p>
        <p>
          The graph   states conditional dependencies between the variables of  through directed
edges and conditional independencies through omitted edges. Given a realization of the set of
variables  , the joint probability distribution   (1) can then be calculated as the product of the
local probability distributions of all variables   given the realisation of their parent variables
 pa() [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ]:
  ( 1,  2, … ,   ) = ∏   (  ∣  pa() )
(1)
One concept used in this paper is the concept of a Markov blanket. A Markov blanket is defined
as the set of the parents, children, and other parents of the children of a variable   [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ]. This
set contains all nodes that can have a direct impact on the node. If all nodes of the set are
observed, then the variable   is independent of the other nodes in the network (conditioned on
the Markov blanket) and its distribution can be derived from the nodes of that set alone.
        </p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. ENDORISK</title>
        <p>
          The primary use case for the research described here was to provide a flexible consultation
software for making the ENDORISK Bayesian network on endometrial cancer [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ] accessible
in a usable way for clinicians without any knowledge of Bayesian networks. It focuses on
preoperative risk stratification in endometrial cancer therapy. Approximately 10% of endometrial
cancer patients present with lymph node metastasis at diagnosis. In most cases these metastasis
are not recognized by current imaging modalities, and require lymph node dissection as gold
standard. Preoperatively identifying these patients allows for proper surgical management and
adjuvant therapy tailored to their needs. On the other side, identifying patients with a low
risk of lymph node metastasis prevents increased surgical-related morbidity and unnecessary
adjuvant therapy. Thus, individualized treatment improves the quality of care for all patients. To
facilitate stratification, a Bayesian network was developed that predicts lymph node metastasis
and 5-year survival by using preoperative biomarkers.
        </p>
        <p>The network was developed on the basis of data obtained from a cohort study of 763 patients
who had been surgically treated for endometrial cancer. The network was validated on two
more external cohorts of together 830 endometrial cancer patients, which yielded a performance
of the Area Under the Curve (AUC) of over 0.82.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Methodology</title>
      <sec id="sec-4-1">
        <title>4.1. Development Process</title>
        <p>The project started with a requirement analysis, to study the users needs and to define the
project goals. In the following prototyping phase, diferent visual and functional designs of the
website were created and compared. Subsequently, the best approach was implemented. During
the project, regular group meetings and multiple evaluation sessions with expert gynecologists
and medical informaticians were held, with a final evaluation with gynecologists near the end
of the project.</p>
      </sec>
      <sec id="sec-4-2">
        <title>4.2. Requirement Analysis</title>
        <p>
          Our primary user group are clinicians. Consequently, our approach should not focus on
explaining the medical background of a given model. The main challenge was to design a user
interface that requires little to no knowledge of Bayesian networks. One important aspect
considered was that Bayesian networks are based on (conditional) probabilities just as clinical
decision making. The risk of getting a disease has always to be weighed against the risks and
benefits of treatment, which is what doctors do. However, it has been observed that clinicians
have dificulty in working with concrete probabilities in the context of clinical decision making
[
          <xref ref-type="bibr" rid="ref13">13</xref>
          ], which also should be taken into account. In contrast to other Bayesian networks in the
clinical field, the ENDORISK network was created for patients who already have a diagnosis.
Thus, the approach should accordingly be therapy-oriented. To support re-usability, the system
should support the ability to use diferent therapy-oriented Bayesian networks. Finally, the
clinician is responsible for recommending and explaining the best therapy options to the
patient. The interface was thus designed to support clinicians and, accordingly, has to provide
explanations of its recommendations, supporting the creation of trust and understanding.
        </p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Result: DoctorBN</title>
      <sec id="sec-5-1">
        <title>5.1. Architecture and Start Interface</title>
        <p>The user interface of the resulted “DoctorBN”5 system is web-based. The home page of the
website is used for network selection and ofers general user information through a FAQ (Fig. 1).
The user can choose between selecting one of the predefined networks or uploading a new one.
Networks uploaded by the user are saved locally and the user can request to include them in
the public network database. After the user selects a network, the main view is displayed (Fig.
2) together with a short tutorial. Then, the user can freely interact with the diferent views of
the software.</p>
      </sec>
      <sec id="sec-5-2">
        <title>5.2. Data Input, Output and Privacy</title>
        <p>The first step of a typical workflow is that the user inserts the patient information. Patient data
can be loaded from a CSV file or inserted using the input menus. The data is structured in three
• Evidence: Everything that is known and cannot be changed about the patient, e.g.
symptoms, demographics, etc.
• Desired Outcomes: the desired results for the patient case, typically that the patient wants</p>
        <p>to survive or have no lymph node metastases.
• Interventions: All variables that can be changed to achieve the desired outcomes, e.g.</p>
        <p>treatment.</p>
      </sec>
      <sec id="sec-5-3">
        <title>5.3. Treatment Comparison</title>
        <p>With the patient information as input, the algorithm will iterate through all combinations of
interventions (treatments) to find out how likely the desired outcomes can be achieved. These
recommendations are then sorted by their joint probability: how likely it is that all desired
outcomes are achieved together. As this is a complex concept to grasp for the user, who lacks
detailed probabilistic knowledge, just the individual probabilities are displayed, showing how
likely each individual goal can be achieved. Bar charts were chosen for display as they allow
for easy comparison of the probabilities. The list of recommendations displayed to the user is
shown in Figure 3.</p>
      </sec>
      <sec id="sec-5-4">
        <title>5.4. Outcome Explanation</title>
        <p>When evidence and desired outcomes are stated or a recommendation is chosen, the user will
get additional information presented in the “explanation” window to the right. The explanation
window consists of multiple tabs for multiple use cases to provide additional information or
explanations (Fig. 2, right).</p>
        <p>Relevance View The relevance view is shown as the standard tab of the explanation view
(Fig. 4). It provides a relevance-based explanation of the current outcomes: all evidence items
are listed in a list view, ordered by their global relevance for the calculation. The local relevance
is displayed too: for each desired outcome, a two-sided bar diagram visualizes through its width
the relevance of the evidence, and through its direction and color if the impact was positive or
negative.</p>
        <p>Predictions List View This view lists all nodes of the network with their most likely state
(Fig. 5). How probable that state is, is displayed through a color-coded tag either stating whether
the value was given by the user or whether the probability is very likely, less likely, or not
likely at all. This allows for fast information about the state of the network and therefore the
consequences of the chosen decision. The omission of edges makes the view very compact and
simple, especially for users who lack experience with Bayesian networks.</p>
        <p>
          Full Network View The full network view shows a graph view of the underlying Bayesian
network (Fig. 6, right). Each node is shown with its most likely state. The probability of that
state is shown through the border color, again color-coded in the categories “given”, “very
likely”, “less likely” and “not likely”. The graph is displayed using the Sugiyama layout [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ], as
it provides a deterministic layout and structures the nodes causally from bottom to top.
Compact Network View The compact view simplifies the full network view by just showing
the most relevant nodes (Fig. 6, left). This reduces visual clutter in complex networks and
provides information on the reasoning process. Starting from the desired outcomes, possible
relevant paths are computed using the Markov blanket and hidden sets based on the work by
Timmer et al. [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ]. Paths are just recursively followed when the change in probability distribution
compared to an uninstantiated network is increasing in the direction of the evidence item. This
is used as indication that the item is influencing the nodes on the path more than other influences
and is therefore having a relevant influence on the desired outcome using this path. When a
path ends with an evidence item its nodes are considered relevant. To avoid confusion with
other network views in the final view, the edges of the network instead of the paths are shown.
        </p>
      </sec>
      <sec id="sec-5-5">
        <title>5.5. Case Comparison</title>
        <p>One important use case for the CDSS was the ability to compare two patient cases or
recommendations. All views were adapted to provide a compact overview of two configurations. For
example, the data input views were changed to a table format and the node border colors in the
network views now highlight nodes that have diferent values in both configurations, instead
of showing probabilities.</p>
      </sec>
      <sec id="sec-5-6">
        <title>5.6. Feedback on System and Model Functionality</title>
        <p>Bayesian networks are often partially or fully learned and are usually too complex to be fully
seen as white-box models. This means that even after evaluating a Bayesian network, it could
produce surprising or wrong output results. A feedback form allows users to describe such
cases or other issues and optionally include the current configuration in the collected feedback.</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>6. Evaluation</title>
      <p>An evaluation of the system was conducted through interviews with six clinicians with
expertise on endometrial cancer. The participants accessed the DoctorBN software on their own
computers. This allowed for a more realistic user experience. To obtain comparable feedback,
all clinicians used the ENDORISK network. During the interviews, the participants were asked
to complete a series of tasks and think aloud while performing them. The tasks were designed in
such a way as to allow for the evaluation of whether or not a participant detected a functionality,
was able to understand it, and knew how to explore it. Afterwards, the participants were asked
to fill out a feedback form evaluating their experience using the website.</p>
      <p>The evaluation results were generally positive (Fig. 8). All clinicians stated that they would
like to use the software in clinical practice. They mostly agreed that the software provides
suficient explanation. However, they difered in how they perceived the usability of the website.
Some problems in usability were addressed after the evaluation by reworking the concerned
features. Especially the connection between the treatment view and the explanation view
was simplified. Users were unable to find some system features, such as the comparison view,
which were accordingly made more accessible. Some results of the evaluation, however, require
more complex revisions. This includes how to provide more specific network support for some
networks without loosing the ability to generally work with all networks. Additionally, the
evaluation revealed some bias in the underlying network regarding adjuvant therapy, which
has to be improved for clinical use.</p>
    </sec>
    <sec id="sec-7">
      <title>7. Discussion and Conclusions</title>
      <p>This work presents an approach for computer-based clinical decision support, illustrated by
the Bayesian network on endometrial cancer. The approach developed is reusable with other
Bayesian networks. Treatment recommendations are automatically generated from user input
and ranked by their ability to reach the desired outcomes, such as the survival of the patient.
The approach also provides diferent visualizations to let the user gain additional insight and
understand how the network came to its conclusions. Those explanations are crucial to generate
trust when working with complex models such as Bayesian networks. The evaluation revealed
a high interest in the system, although there are still some usability problems that have to be
addressed. The participating clinicians agreed to be willing to use the system in clinical practice.
The approach is a contribution to the general goal of making complex computational models
like Bayesian networks available to domain experts with little to no experience in using them.
CDSS will improve patient treatment and safety by supporting healthcare and therapy tailored
to the individual patient.</p>
    </sec>
    <sec id="sec-8">
      <title>Acknowledgments</title>
      <p>Our work was supported by the German Federal State of Saxony-Anhalt (FKZ: I 88).</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          [1]
          <string-name>
            <given-names>D.</given-names>
            <surname>Pritchard</surname>
          </string-name>
          ,
          <string-name>
            <given-names>F.</given-names>
            <surname>Moeckel</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Villa</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L.</given-names>
            <surname>Housman</surname>
          </string-name>
          ,
          <string-name>
            <given-names>C.</given-names>
            <surname>McCarty</surname>
          </string-name>
          ,
          <string-name>
            <given-names>H.</given-names>
            <surname>McLeod</surname>
          </string-name>
          ,
          <article-title>Strategies for integrating personalized medicine into healthcare practice</article-title>
          ,
          <source>Per Med</source>
          (
          <year>2017</year>
          )
          <fpage>141</fpage>
          -
          <lpage>152</lpage>
          . doi:
          <volume>10</volume>
          .2217/pme- 2016- 0064.
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          [2]
          <string-name>
            <given-names>A. L.</given-names>
            <surname>Madsen</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Lang</surname>
          </string-name>
          , U. B.
          <string-name>
            <surname>Kjaerulf</surname>
            ,
            <given-names>F.</given-names>
          </string-name>
          <string-name>
            <surname>Jensen</surname>
          </string-name>
          ,
          <article-title>The Hugin tool for learning bayesian networks</article-title>
          ,
          <source>in: European conference on symbolic and quantitative approaches to reasoning and uncertainty</source>
          , Springer,
          <year>2003</year>
          , pp.
          <fpage>594</fpage>
          -
          <lpage>605</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          [3]
          <string-name>
            <given-names>I.</given-names>
            <surname>Beinlich</surname>
          </string-name>
          ,
          <string-name>
            <given-names>E. H.</given-names>
            <surname>Herskovits</surname>
          </string-name>
          ,
          <article-title>Ergo: a graphical environment for constructing bayesian</article-title>
          ,
          <source>arXiv preprint arXiv:1304.1095</source>
          (
          <year>2013</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          [4]
          <string-name>
            <given-names>R. T.</given-names>
            <surname>Sutton</surname>
          </string-name>
          ,
          <string-name>
            <given-names>D.</given-names>
            <surname>Pincock</surname>
          </string-name>
          ,
          <string-name>
            <given-names>D. C.</given-names>
            <surname>Baumgart</surname>
          </string-name>
          ,
          <string-name>
            <given-names>D. C.</given-names>
            <surname>Sadowski</surname>
          </string-name>
          ,
          <string-name>
            <given-names>R. N.</given-names>
            <surname>Fedorak</surname>
          </string-name>
          ,
          <string-name>
            <surname>K. I. Kroeker,</surname>
          </string-name>
          <article-title>An overview of clinical decision support systems: benefits, risks, and strategies for success</article-title>
          ,
          <source>NPJ digital medicine 3</source>
          (
          <year>2020</year>
          )
          <fpage>1</fpage>
          -
          <lpage>10</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          [5]
          <string-name>
            <given-names>C.</given-names>
            <surname>Reijnen</surname>
          </string-name>
          ,
          <string-name>
            <given-names>E.</given-names>
            <surname>Gogou</surname>
          </string-name>
          ,
          <string-name>
            <given-names>N. C. M.</given-names>
            <surname>Visser</surname>
          </string-name>
          , ...,
          <string-name>
            <given-names>H. V. N.</given-names>
            <surname>Küsters-Vandevelde</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P. J. F.</given-names>
            <surname>Lucas</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J. M. A.</given-names>
            <surname>Pijnenborg</surname>
          </string-name>
          ,
          <article-title>Preoperative risk stratification in endometrial cancer (endorisk) by a bayesian network model: A development and validation study</article-title>
          ,
          <source>PLoS medicine 17</source>
          (
          <year>2020</year>
          )
          <article-title>e1003111</article-title>
          .
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          [6]
          <string-name>
            <given-names>M. J.</given-names>
            <surname>Druzdzel</surname>
          </string-name>
          , Smile:
          <article-title>Structural modeling, inference, and learning engine and genie: a development environment for graphical decision-theoretic models</article-title>
          ,
          <source>in: Aaai/Iaai</source>
          ,
          <year>1999</year>
          , pp.
          <fpage>902</fpage>
          -
          <lpage>903</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          [7]
          <string-name>
            <given-names>J.</given-names>
            <surname>Müller</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Stoehr</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Oeser</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.</given-names>
            <surname>Gaebel</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Streit</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Dietz</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Oeltze-Jafra</surname>
          </string-name>
          ,
          <article-title>A visual approach to explainable computerized clinical decision support</article-title>
          ,
          <source>Computers &amp; Graphics</source>
          <volume>91</volume>
          (
          <year>2020</year>
          )
          <fpage>1</fpage>
          -
          <lpage>11</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          [8]
          <string-name>
            <given-names>G.-E.</given-names>
            <surname>Yap</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.-H.</given-names>
            <surname>Tan</surname>
          </string-name>
          , H.
          <string-name>
            <surname>-H. Pang</surname>
          </string-name>
          ,
          <article-title>Explaining inferences in bayesian networks</article-title>
          ,
          <source>Applied Intelligence</source>
          <volume>29</volume>
          (
          <year>2008</year>
          )
          <fpage>263</fpage>
          -
          <lpage>278</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          [9]
          <string-name>
            <given-names>S. T.</given-names>
            <surname>Timmer</surname>
          </string-name>
          , J.-J. C. Meyer, H. Prakken,
          <string-name>
            <given-names>S.</given-names>
            <surname>Renooij</surname>
          </string-name>
          ,
          <string-name>
            <given-names>B.</given-names>
            <surname>Verheij</surname>
          </string-name>
          ,
          <article-title>Explaining bayesian networks using argumentation</article-title>
          ,
          <source>in: European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty</source>
          , Springer,
          <year>2015</year>
          , pp.
          <fpage>83</fpage>
          -
          <lpage>92</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          [10]
          <string-name>
            <given-names>A.</given-names>
            <surname>Shih</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Choi</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Darwiche</surname>
          </string-name>
          ,
          <article-title>Compiling bayesian network classifiers into decision graphs</article-title>
          ,
          <source>in: Proceedings of the AAAI Conference on Artificial Intelligence</source>
          , volume
          <volume>33</volume>
          ,
          <year>2019</year>
          , pp.
          <fpage>7966</fpage>
          -
          <lpage>7974</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          [11]
          <string-name>
            <given-names>I.</given-names>
            <surname>Ben-Gal</surname>
          </string-name>
          ,
          <article-title>Bayesian networks</article-title>
          ,
          <source>Encyclopedia of statistics in quality and reliability 1</source>
          (
          <year>2008</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation>
          [12]
          <string-name>
            <given-names>F. V.</given-names>
            <surname>Jensen</surname>
          </string-name>
          , et al.,
          <article-title>An introduction to Bayesian networks</article-title>
          , volume
          <volume>210</volume>
          , UCL press London,
          <year>1996</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref13">
        <mixed-citation>
          [13]
          <string-name>
            <surname>D. M. Eddy</surname>
          </string-name>
          ,
          <article-title>Probabilistic reasoning in clinical medicine: Problems and opportunities</article-title>
          , Cambridge University Press (
          <year>1982</year>
          )
          <fpage>249</fpage>
          -
          <lpage>267</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref14">
        <mixed-citation>
          [14]
          <string-name>
            <given-names>K.</given-names>
            <surname>Sugiyama</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Tagawa</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Toda</surname>
          </string-name>
          ,
          <article-title>Methods for visual understanding of hierarchical system structures</article-title>
          ,
          <source>IEEE Transactions on Systems, Man, and Cybernetics</source>
          <volume>11</volume>
          (
          <year>1981</year>
          )
          <fpage>109</fpage>
          -
          <lpage>125</lpage>
          .
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>