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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>TOCSOC: A temporal ontology for comparing the survival outcomes of clinical trials in oncology</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Deendayal Dinakarpandian</string-name>
          <email>dinakar@stanford.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Michaela Liedtke</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mark A. Musen</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>College of Chemistry, University of California, Berkeley Berkeley</institution>
          ,
          <addr-line>CA</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Department of Medicine, Stanford University Stanford</institution>
          ,
          <addr-line>CA</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2018</year>
      </pub-date>
      <fpage>7</fpage>
      <lpage>10</lpage>
      <abstract>
        <p>-The outcome of clinical trials for cancer is typically summarized in terms of survival. However, different trials for the same disease may use different measures of survival, or use differing vocabulary to refer to the same outcome measure. This makes it harder to automate an objective comparison of treatments. We propose a temporal ontology of survival outcome measures that a) helps to standardize the vocabulary for reporting survival outcomes and b) makes it possible to automatically rank the relative efficacy of different treatments. The approach has been illustrated by examples from the oncology literature. The temporal ontology and the accompanying reasoner are freely available on Github (https://github.com/pdddinakar/TOCSOC).</p>
      </abstract>
      <kwd-group>
        <kwd>temporal ontology</kwd>
        <kwd>survival outcome</kwd>
        <kwd>oncology</kwd>
        <kwd>clinical trials</kwd>
        <kwd>reasoning</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>I. INTRODUCTION</title>
      <p>The outcome of clinical trials for cancer is often
summarized in terms of survival. This may be a rate, for
example a 5-yr survival of 50% or a duration, for example a
median survival time of 4 years. Ideally, if all potential
treatments for a specific cancer were compared in terms of a
common metric, it would be straightforward to rank them in
terms of their effectiveness. In reality, clinical trials often use a
wide variety of survival outcome measures. The scientific,
ethical and pragmatic reasons for this heterogeneity are listed
below:</p>
      <p>A. Variation in study design. Long term studies may use
survival measures over longer periods of times than short term
studies.</p>
      <p>
        B. Differences in life expectancy. Life expectancy after
diagnosis varies greatly among cancers. For instant, the 5-yr
survival rate for malignant melanoma exceeds 90% but is less
than 20% for lung cancer (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ). Thus, studies to improve the
treatment might seek to look at longer time periods for
melanoma compared to lung cancer.
      </p>
      <p>C. Tracking disease control. For cancers that are
incurable, the pragmatic goal is sometimes to retard its
progress. In such cases, progression-free survival rather than
measures of mortality may be used as a metric to capture
phases of stable disease.</p>
    </sec>
    <sec id="sec-2">
      <title>Bhavish Dinakar</title>
      <p>D. Consolidating gains in therapy. In contrast to
incurable cancers, the availability of highly effective treatments
for some cancers makes it possible to induce longer periods of
remission (potentially a cure) where there is no evidence of
disease. Rather than measures of mortality, measures like
disease free survival are useful in such cases.</p>
      <p>E. Limited recruitment and retention in studies. Patients
are prone to drop out of studies, particularly in cancer.
Progressive attrition of participants sometime forces
investigators to use short term measures to report outcomes
rather than wait for the originally planned longer term
measures. For example, 2 or 3 yr. survival statistics might be
reported instead of 5 yr. statistics.</p>
      <p>F. Early termination on ethical grounds. If a therapy is
highly successful compared to standard therapy, a decision to
terminate the study and publish early might be made.
Conversely, if the treatment itself causes unacceptable harm to
trial participants, the trial may be terminated prematurely. In
both cases, measures of shorter term survival may be included
in the corresponding publication.</p>
      <p>Even when the same survival measure is used, different
studies use different terms to refer to the same concept, and
different papers use the same term to refer to differing outcome
measures. Oncologists typically use their expert knowledge to
resolve these ambiguities and evaluate the relative merits of
different therapies. This could be in the context of drafting best
practice guidelines or for individualized patient care.</p>
      <p>
        This paper proposes the use of a temporal ontology of
terms for summarizing the results of clinical trials in oncology.
The use of an ontology can reduce the ambiguity in specifying
results. Additionally, the inclusion of temporal relationships
within the ontology can help partially automate the comparison
between treatments whose effectiveness has been summarized
with different but related measures. We first describe the
source of the vocabulary and the process to create the temporal
ontology. This is followed by a description of the reasoning
used to rank treatments for a specific cancer. We give
examples from real world data and conclude with a discussion
of limitations and future plans.
II. CREATION OF THE TEMPORAL ONTOLOGY
Overall survival (OS) is a commonly used measure of the
effectiveness of cancer therapy. It is defined as the length of
time from either the date of diagnosis or the start of treatment
that patients are still alive (
        <xref ref-type="bibr" rid="ref2">2</xref>
        ). In other words, such a
commonly used term has two different interpretations that is
obvious only to a human reader. We searched the Bioportal (
        <xref ref-type="bibr" rid="ref3">3</xref>
        )
collection of ontologies for a perfect match to the term
“Overall survival.” The following four independent resources
include OS as a term: “National Cancer Institute Thesaurus
(NCIT) (
        <xref ref-type="bibr" rid="ref4">4</xref>
        ),” “Experimental Factor Ontology (EFO) (
        <xref ref-type="bibr" rid="ref5">5</xref>
        ),”
“Cancer Care: Treatment Outcome Ontology (CCTOO) (
        <xref ref-type="bibr" rid="ref6">6</xref>
        )”
and “Interlinking Ontology for Biological Concepts (IOBC)
(
        <xref ref-type="bibr" rid="ref7">7</xref>
        ).” As CCTOO (
        <xref ref-type="bibr" rid="ref6">6</xref>
        ) is specific to cancer treatment, we
selected this ontology for further exploration.
      </p>
      <p>Out of a total of 1133 terms in the ontology, we found 35
terms (First column in Table 1) containing the token
“survival,” which were scattered throughout the ontology.
CCTOO is based on IS_A and IS_ASSESSED_BY
relationship between terms. In contrast, our goal was to create
a temporal ontology with the relationship
NOT_GREATER_THAN (NGT) between the terms. The
rationale for this is the fact that many events in cancer
outcomes that precede another could also be simultaneous. For
example, though several symptoms (events) of cancer may not
be fatal, the timing of some symptoms may coincide with
death.</p>
      <p>An exhaustive approach to determine if an NGT
relationship exists between every pair of terms would require
595 comparisons. In order to this more efficiently, we first
sorted the terms based on their suffixes to group related
concepts together - the terms were reversed, sorted based on
the reversed strings and reversed again to obtain the original
terms. This procedure resulted in a sorted list of terms (Second
column in Table 1), such that neighboring terms sharing
suffixes were more likely to have a temporal relationship with
each other. For example, the first five terms in the second
column in Table 1 are all survival rates, and all types of
“Progression-free survival” are grouped together.</p>
      <p>
        These were manually checked and arranged into a
hierarchical list, where each indent corresponds to the NGT
relationship. Since definitions were missing for most of the
CCTOO terms, we referred to the following resources, in
order, to establish and add the meanings of the terms: NCI
dictionary (
        <xref ref-type="bibr" rid="ref2">2</xref>
        ), the NCI Outcome Measures Glossary (
        <xref ref-type="bibr" rid="ref8 ref9">8, 9</xref>
        ), the
DATECAN initiative (
        <xref ref-type="bibr" rid="ref10">10</xref>
        ) and finally Pubmed (
        <xref ref-type="bibr" rid="ref11">11</xref>
        ) searches
for papers containing the terms. We edited the hierarchy based
on the following criteria:
      </p>
      <p>A. Highly specific terms were removed, e.g., Breast
cancer specific survival. Since the intended use of the proposed
temporal ontology is in the context of a specified disease, it is
redundant to explicitly include disease names in the names of
survival measures.</p>
      <p>B. Synonyms were merged together, e.g., “Disease-free
survival” was chosen as the canonical term for “Relapse-free
survival.”</p>
      <p>C. Ambiguous terms not useful for comparing durations
or rates were removed, e.g., Long term survival. Since time
duration is expected to be explicitly stated in summarizing an
outcome, “Long term survival” is not a useful concept to
standardize.</p>
      <p>D. A clear distinction between period and rate was made.
It is common practice in publications to use the term “survival”
to refer to both a duration of time, e.g., median survival time
and a rate, e.g., proportion alive after a period of time has
elapsed. The reader has to infer this from the context.
However, this distinction needs to be explicit in an ontology.
Therefore, we added the suffix “time” to all terms to indicate
the first interpretation and the suffix “rate” to all terms to
indicate the first interpretation.</p>
      <p>E. Missing terms were added, e.g., only 5 ‘rate’ terms
were present in CCTOO. A corresponding ‘rate’ term was
created for each ‘time’ term.</p>
      <p>
        The resulting temporally related hierarchy contains 44
terms related by NOT_GREATER_THAN (NGT)
relationships. These consist of 22 concepts expressed as both
durations (Fig. 1) and rates (only the first few rows as shown at
bottom of figure for brevity). The full version is available as an
OWL file created with the help of Protégé (
        <xref ref-type="bibr" rid="ref12">12</xref>
        ). While the
distinction between rate and time may be clear to a human
reader from the context, it is necessary to separate these
concepts for machine interpretation. Also, since the motivating
goal is to compare treatments, definitions of the concepts Note
that the terms “Overall survival time (OS)” and
“Diseasespecific survival time (DSS)” are in bold on the far right as the
deepest concepts. These refer to the longest periods. All terms
are NGT DSS, and OS is NGT DSS. This is because OS is
agnostic of health or treatment status, while DSS is longer
because it excludes deaths from causes unrelated to the disease
or its treatment. At the other extreme, “Treatment-free survival
time” has the shortest duration and has an NGT relationship
with all terms; cancer is likely to return earliest when all
treatments, including maintenance, are discontinued. The final
hierarchy was checked for accuracy by author M.L., who is an
oncologist.
      </p>
      <p>The temporal ontology shown in Fig. 1 may be interpreted
as longer time durations from left to right. This temporal
ordering of types of survival outcomes can be exploited based
on the following key TOCSOC reasoning principle:</p>
      <p>Consider treatments T1 and T2 with respective outcome
measures O1 and O2, such that O1 has an NGT relationship
with O2. If the observed value of O1 is at least as large as the
value of O2, then T1 is likely better than T2.</p>
      <p>We present several representative cases below to illustrate
specific scenarios of reasoning derived from the general
TOCSOC rule.</p>
      <p>A. Identical measure with different values. If treatments
x and y have overall survival times (often reported as medians)
of 5 and 6 years respectively, then it is trivial to conclude that y
is better than x. Now consider a treatment p for the same type
of cancer where the group was followed for only 5 years, at
which point more than half the subjects were still alive. This is
usually referred to as median not reached, implying that the
overall survival for this group is greater than 5. This implies
that p is likely better than x, but not guaranteed to be better
than y.</p>
      <p>B. Measures of same type but differing in duration. If
treatment x results in a 5-yr OS rate of 80% while treatment y
results in a 4-yr OS rate of 70%, then x is better than y.</p>
      <p>C. Temporally related measures. This is the specific
scenario that TOCSOC was envisioned to handle. If treatment
x results in a (median) progression-free survival (PFS) of 5
years and treatment y results in a median OS of 4 years, then x
has an OS of at least 5 years (inferred from TOCSOC) and is
therefore better than y.</p>
      <p>D. Comparing rates with periods. When available,
survival times should be compared with survival times and
rates with rates. However, it may sometimes be necessary to
compare rates with times. This is possible to a limited extent.
Measures that end with “survival time” are typically the
median survival time within a group. For example, if 4 subjects
with treatment x have survival times {1,2,4,5}, then (median)
survival time with treatment x is 3 years. This may be
interpreted as a survival rate of 50% at 3 years. To be strictly
correct, this corresponds to a survival rate of at most 50% since
the median for survival times {1,3,3,3} is also 3, even though
this is also the maximum survival time; there are no survivors
past 3 years.</p>
      <p>E. Replicate measures. Different studies may report
different outcomes for the same treatment. One option to deal
with this situation is to use an average value for each treatment
that is weighted by the size of the replicate studies. Another
option is to compare treatments based on a bounded range of
reported performances, though this is likely to underestimate
the difference between treatments.</p>
      <p>F. Indeterminable comparisons. Sibling terms
(successive terms at the same level of indentation in Fig. 1) are
uncomparable by definition. For example, “Biochemical
progression-free survival time” may be greater than “Clinical
progression-free survival time” in some individuals, but the
other way around in others. Even when comparable, it is hard
to reach a conclusion if one treatment has an OS of 90 % at 2
years and an alternative treatment has a PFS of 50% at 4 years.
A plethora of data can also paradoxically lead to an
inconclusive result. If multiple metrics are available for each
treatment, then rankings might be different or even reversed
based on choice of metric. The pragmatic strategy for this is to
report all rankings along with the rationale, thus serving more
as an objective summary of evidence than a ranker.</p>
      <p>Based on the above considerations, we implemented a
reasoner that takes a temporal ontology and a set of treatments
with corresponding survival outcomes as input, and outputs a
ranking of treatments. The survival outcome input is specified
as either a rate (time period of observation and proportion) or a
duration (survival time). The temporal ontology is represented
internally as directed acyclic graph in an adjacency matrix. A
second directed graph is created corresponding to the ranking
of treatments. In silent mode, only unambiguous rankings are
returned. In verbose mode, undeterminable rankings (cycles in
the graph) are also included in the output. Since the ontology is
read dynamically, the reasoner can be used with alternate
versions of ontologies based on NGT relationships.</p>
    </sec>
    <sec id="sec-3">
      <title>IV. ILLUSTRATIONS FROM LITERATURE Consider the results of two treatments (the exact details are not relevant) for high risk multiple myeloma shown in the table below:</title>
      <p>Since treatment AA+B has a 4-yr OS that is lower than
the 5-yr OS for treatment A, it cannot be better than treatment
A.</p>
      <p>Now consider the following comparison of treatment
AA+B with AAsib that exploits the structure of TOCSOC.
The observed outcome for AAsib corresponds to 50% OS at
4.25 years. Since the 4-yr PFS for AA+B is 52%, we can
conclude that the 4-yr OS for AA+B is significantly higher
than 52% (OS is typically considerably higher than PFS in
most cases) and therefore better than AAsib.</p>
      <p>
        Trial
Reference
(
        <xref ref-type="bibr" rid="ref14">14</xref>
        )
(
        <xref ref-type="bibr" rid="ref15">15</xref>
        )
      </p>
      <p>Treatment
AA+B
AAsib</p>
      <p>Disease
HRMM
HRMM</p>
      <p>Metric
PFS 4-yr
Median OS</p>
      <p>Value</p>
      <p>52%
4.25 yrs.</p>
    </sec>
    <sec id="sec-4">
      <title>V. LIMITATIONS &amp; FUTURE PLANS</title>
      <p>We have shown the value of recasting an existing ontology
into one based on temporal relationships for comparing the
effectiveness of different treatments for cancer. This can help
rank different treatments for each cancer, especially as multiple
new treatments are increasingly becoming available for several
cancers. However, it is important to acknowledge that this
approach only ranks treatments; it is far from a treatment
‘recommender.’ Several other considerations often drive choice
of therapy. A treatment with a shorter survival time may be
selected for reasons of toxicity, cost or patient age. A treatment
that is better at preventing distant recurrences than local
recurrences may be preferred. The result of comparing a set of
treatments may not be valid because of heterogeneity of the
underlying disease. Despite diligent efforts to conduct
randomized clinical trials, study populations often turn out to
contain a mixture of cancers at the molecular level. For
improving the rationale of decision making, advances in
disease subtyping also need to be taken into account. Each
study is likely to have selection biases, both known and
unknown in its choice of subjects. While treatment outcomes
are often summarized as an average estimate of effectiveness,
it is important to take into account the confidence intervals of
estimates when comparing them. Further, expanded individual
profiles are likely to be taken into account in the era of
personalized and molecular medicine.</p>
      <p>
        The present study could be improved in terms of both the
ontology employed and the power of the reasoner. This paper
restricted itself to using terms from a pre-existing ontology in
the useful but narrow perspective of ‘survival.’ As medical
care improves to the point where many more cancers are
curable, temporal metrics for the quality of life are likely to
become more important. Further, different types of cancer may
use specialized metrics to evaluate outcomes. As terms are
used more consistently in the literature, more precise temporal
relationships could be used. While using a detailed temporal
ontology like the W3C OWL Time Ontology (
        <xref ref-type="bibr" rid="ref16">16</xref>
        ) would be
overkill, it would be helpful to add a few more relationships,
e.g., STRICTLY_LESS_THAN could be added where
applicable. As such, the first version of TOCSOC is best
viewed as an upper ontology. More terms can be incorporated
by mining trials registered at sites like “clinicaltrials.gov” for
primary and secondary endpoints that have temporal
dependencies, some of which may be specific only to certain
cancers.
      </p>
      <p>The reasoner is currently conservative in being largely
deterministic; it could be enhanced by a Bayesian mode that
takes into account prior distributions of the outcomes as well as
the temporal relationship between them. Instead of point
estimates, full distributions could be taken into account to
combine multiple weak signals into more robust evidence for
rankings.</p>
    </sec>
    <sec id="sec-5">
      <title>ACKNOWLEDGMENTS</title>
      <p>This work was conducted using the Protégé resource,
which is supported by grant GM10331601 from the National
Institute of General Medical Sciences of the United States
National Institutes of Health.</p>
    </sec>
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