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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Acute Ischemic Stroke Prediction from Physiological Time Series Patterns</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Qing Zhang</string-name>
          <email>qing.zhang@csiro.au</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yang Xie</string-name>
          <email>yang.xie@unsw.edu.au</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Pengjie Ye</string-name>
          <email>pengjie.ye@csiro.au</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Chaoyi Pang</string-name>
          <email>chaoyi.pang@csiro.au</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Australian e-Health Research Centre/CSIRO ICT Centre</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>THe University of New South Wales</institution>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2012</year>
      </pub-date>
      <fpage>45</fpage>
      <lpage>54</lpage>
      <abstract>
        <p>Stroke is one of the major diseases that can cause human deaths. However, despite the frequency and importance of stroke, there are only a limited number of evidence-based acute treatment options currently available. Recent clinical research has indicated that early changes in common physiological variables represent a potential therapeutic target, thus the manipulation of these variables may eventually yield an e ective way to optimise stroke recovery. Nevertheless the accuracy of prediction methods based on statistical characteristics of certain physiological variables, such as blood pressure, glucose, is still far from satisfactory due to vague understandings of e ects and function domain of those physiological determinants. Therefore, developing a relatively accurate prediction method of stroke outcome based on justi able determinants becomes more and more important to the decision of the medical treatment at the very beginning of the stroke. In this work, we utilize machine learning techniques to nd correlations between physiological parameters of stroke patient during 48 hours after stroke, and their stroke outcomes after three months. Our prediction method not only incorporates statistical characteristics of physiological parameters, but also considers physiological time series patterns as key features. Experiment results on real stroke patients' data indicate that our method can greatly improve prediction accuracy to a high precision rate of 94%, as well as a high recall rate of 90%.</p>
      </abstract>
      <kwd-group>
        <kwd>Stroke</kwd>
        <kwd>Outcome Prediction</kwd>
        <kwd>Time Series Data</kwd>
        <kwd>Machine Learning</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Stroke is a common cause of human death and is a major cause of death after
ischemic heart disease [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. The World Health Organisation (WHO) de nes it as
"rapidly developing clinical signs of local (or global) disturbance of cerebral
function, with symptoms lasting more than 24 hours or leading to death, and with no
apparent cause other than of vascular origin" [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. Recent years research reveals a
strong association between physiological homeostasis and outcomes of Acute
Ischemic Stroke. Thus understanding determinants of physiological variables, such
      </p>
      <p>Acute Ischemic Stroke Prediction
as blood pressure, temperature and blood glucose levels, may eventually yield
an e ective and potentially widely applicable range of therapies for
optimising stroke recovery, such as abbreviating the duration of ischaemia, preventing
further stroke, or preventing deterioration due to post-stroke complications.</p>
      <p>
        The correlations between blood pressure and stroke outcomes have been
widely studied in the literature. It is stated in current guidelines that a
signi cant decrease of BP during the rst hours after admission should be avoided,
as it correlates with poor outcomes, measured by Canadian Stroke Scale or
modi ed Rankin Score (mRS), at 3 months [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. Extreme hypertension and
hypotension on admission have also been associated with adverse outcome in
acute stroke patients [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. BP values, periodically monitored within the rst
72 hours after admission, demonstrate that extreme values still correlate with
unfavored outcomes [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. For example, high baseline of systolic BP is inversely
associated with favourable outcome assessed on mRS at 90 days with OR=1.220
and (95% CI: 1.01 to 1.49). Other periodically retrieved statistical properties of
BP within 24 hours of ictus, such as maximum, mean, variability etc., have also
been investigated. Yong et al. [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] report strong independent association between
those properties and the outcome at 30 days after ischemic stroke. For example,
variability of systolic BP is inversely associated with favourable outcome with
OR=0.57, (95% CI: 0.35 to 0.92).
      </p>
      <p>Research also shows associations between other physiological variables and
stroke outcomes. Abnormalities of blood glucose, heart rate variability, ECG and
temperature may be predictors of 3-month stroke outcome.</p>
      <p>
        Most of the above analyses are based on periodically recorded physiological
parameters, hourly or daily, up to 3 months. Whether continuous data patterns,
such as data trends, have a similar predictive role is still uncertain. Although it is
clear that the after stroke elevated 24-hours blood pressure levels predict a poor
outcome, few studies have investigated the predictive ability of more
sophisticate trends, e.g. combined trends of several physiological parameters. Yet this
could be an e ective way to readily obtain important prognostic information for
acute ischemic stroke patients. Dawson et al did pioneering works on associating
shorter length (around 10 minutes) beat-to-beat BP with acute ischemic stroke
outcomes [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. They conclude that a poor outcome, assessed by mRS, at 30 days
after ischemic stroke is dependent on stroke subtype, beat-to-beat diastolic BP
and Mean Arterial Pressure and variability. However in their study, they still
use the average values of continuous recordings, instead of time series patterns
as predictors. This motivates our research on mining physiological data patterns
as e ective predictors of acute ischemic stroke outcome.
      </p>
      <p>Obviously mining physiological data patterns can be easily aligned with time
series data classi cation, which is a traditional topic and has attracted
intensive studies. Although there exist many sophisticate time series data mining
techniques, we nd that most of them, if not all, are not applicable to our
application scenario, due to the always incomplete, non-isometric physiological
data collected from patients. Therefore, in this paper, we incorporate a simple
yet powerful time series data pattern analysing method, trend analyses, into
our prediction method. By utilising those trend features, together with values
of traditional physiological variables, we design an e cient algorithm that can
predict 3-month stroke outcome with high accuracy.</p>
      <p>In summary, we list our contributions in this paper:
{ We propose using trend patterns of physiological time series data as a new
set of stroke outcome prediction features,
{ We design a novel prediction algorithm which can accurately predict
3months stroke outcomes with high precision and recall rate, when tested
against a real data set.</p>
      <p>The rest of this paper is organised as follows. Section 2 introduces works
related to stroke outcome predictions. Section 3 presents our prediction methods.
Section 4 reports empirical study results. And section 5 concludes this paper with
possible future studies.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Related Work</title>
      <p>
        The relationship between beat-to-beat blood pressure (BP) and the early
outcome after acute ischemic stroke was rstly described in [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
      <p>
        A further investigation on BP was done in [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], which investigated detrimental
e ects of blood pressure reduction in the rst 24 hours of acute stroke onset. BP
reduction is regarded to have the possibility to worsen an already compromised
perfusion in the brain tissue and thus not lowering BP in the early stage after
the stroke onset is suggested. However, it lacks further discussion on the relation
of higher BP and outcome. Ritter et al. formulated the blood pressure variation
by counting threshold violations. Signi cant di erence in the frequency of upper
threshold violation occurrences was observed between di erent time points after
stroke [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] . Wong observed some temporal patterns from the changing process
of some physiological variables and also attempted to employ such temporal
patterns to explain and predict the early outcomes [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. However, due to the
limit of candidate feature set considered in those studies, achieving an accurate
prediction is fairly unlikely in those scenarios.
      </p>
      <p>
        Relationships between other physiological variables and stroke outcome have
also been studied in literature. Abnormalities of serum osmolarity, temperature,
blood glucose, SPO2 may be predictors of stroke outcomes. More speci cally,
heart rate and ECG, can be correlated to stroke outcomes at 3-months:
{ Heart Rate Variability: Gujjar et al. reported that heart rate variability is
e cient in predicting stroke outcome. Speci cally they studied continuous
echocardiogram of 25 patients with acute stroke and concluded that the
eyeopening score of Glasgow Coma Scale and low-frequency spectral power were
factors that were independently predictive of mortality [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ].
{ ECG: The relationship between ECG abnormalities and stroke outcomes
were reported by Christensen et al. They analysed a large cohort of 692
patients and predict that ECG abnormalities are frequent in acute stroke
and may conclude 3-month mortality [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ].
      </p>
      <p>Acute Ischemic Stroke Prediction</p>
    </sec>
    <sec id="sec-3">
      <title>Stroke outcomes prediction</title>
      <p>
        Our prediction method adopts statistical values of physiological parameters and
also incorporates the descriptive ability of the physiological patterns as features
to predict 3-months stroke outcomes. Particularly, we use the trend pattern of
time series data as new add-on features to form an initial feature set. Then we
apply the logistic regression method to classify stroke patient outcomes into two
groups: good vs. bad. Note that there exist di erent clinical criteria in de ning
good/bad outcomes. We will report empirical study results on all criteria in the
next section. Cross validation is also adopted to obtain an unbiased assessment of
classi er performance, by which the physiological determinants can be accurately
identi ed in the last stage. Finally, we select a subset of features that can most
accurately predict 3-months stroke outcomes. Figure 1 presents logic ows of our
method. We use Rankin Scale to represent various outcomes at 3 months after
stroke (RS3) [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ].
Five physiological parameters are usually considered as in uential factors on
stroke patient outcomes, namely Blood Sugar Level, Diastolic Blood Pressure,
Systolic Blood Pressure, Heart Rate and Body Temperature [
        <xref ref-type="bibr" rid="ref16 ref17 ref6">6, 16, 17</xref>
        ].
Existing stroke outcome predictions always assume a certain parameter as the main
feature in their approaches. However in our approach, we will assume all ve
parameters in the initial feature set.
      </p>
      <p>
        Moreover, for each physiological parameter, we compute trends through
partitioning the time series data into non-overlapping, continuous blocks. Although
there exists many trend and shape detection methods in the literature, such as
[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], in our application, we simply consider a bi-partition on the rst 48-hours
time series data records after stroke. The reasons are:
1. most available physiological data records are only within 48-hours after
stroke.
2. clinical observation and our initial experiments both suggest that setting the
granularity level at having only two partitions in the 48-hours, well represents
the physiological time series pattern changes.
      </p>
      <p>In each partition, accordingly we generate 6 new features, as shown below,
to represent the trend pattern:
1. yChange: the di erence between the value at the end of a trend and the
value at the start of a trend
yChange = y(end of trend)
y(start of trend)
2. absYChange: the absolute value of the yChange
3. slope: the slope of the trend
4. sign: the direction of the trend
5. NumofMeasure: the number of values in a partition
6. FreqofMeasure: the average time interval between measurements, i.e.</p>
      <p>F reqof M easure =</p>
      <p>T rend Length</p>
      <p>N umof M easure</p>
      <p>The initial feature set comprised physiological values and their trend
patterns. We apply the logistical regression method to classify the good/bad stroke
outcomes based on this initial feature set.
3.2</p>
      <sec id="sec-3-1">
        <title>Logistic Regression Classi er</title>
        <p>In statistics, logistic regression is a type of regression analysis used for predicting
the outcome of a binary dependent variable (a variable which can take only two
possible outcomes, e.g. \yes" vs. \no" or \success" vs. \failure") based on one or
more predictor variables. Like other forms of regression analysis, logistic
regression makes use of one or more predictor variables that may be either continuous
or categorical. Unlike ordinary linear regression, however, logistic regression is
used for predicting binary outcomes rather than continuous outcomes. Logistic
regression adopted here is a type of regression analysis used for predicting the
outcome of stroke (\good" vs. \bad") based on features in our initial feature set.</p>
        <p>To obtain an unbiased assessment of classi er performance, the
Leave-OneOut Cross validation technique is adopted. Suppose N folds are employed, this</p>
        <p>Acute Ischemic Stroke Prediction
technique withholds a subject from the training set for each run to later test
with. Once a record has been withheld for testing, the classi er is trained
using the remaining N-1 subjects. The withheld subject is then reintroduced for
classi cation.
3.3</p>
      </sec>
      <sec id="sec-3-2">
        <title>Final feature set selection</title>
        <p>We use two greedy search strategies to nd the best feature subset that can
achieve highest prediction accuracy. Speci cally, we use backward search and
forward search:
backward search : A greedy backward search is performed to identify a near
optimum subset of features. Starting with all features, in sequence, the feature
which improves prediction accuracy the most (or decreases it the least) is
removed from the current set of features and retained as an intermediate feature
subset. This is repeated until all features have been removed. The intermediate
feature subset which provides the maximum performance, compared to all other
subset evaluated, is selected as the nal feature set.
forward Search A sequential forward oating search algorithm is used for feature
selection, in an attempt to discover the optimal subset of features from the pool
of available candidate features. This strategy begins with a forward-selection
process, selecting a single feature from the pool of available features, which
improves the prediction accuracy most. After this selection, removal of a feature
from the set of selected features is considered. The process of possible feature
addition, followed by possible feature removal, is iterated until the selected feature
set converges.
4</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Empirical Study</title>
      <p>In this section, we report experiment results through testing our prediction
method on a real data set of stroke patients. Firstly, we introduce the
physiological data sets of stroke patients and the good/bad criteria used in our study.
Then we report prediction accuracy based on various combination of feature
sets. Our study was approved by a ethics committee of the related institution.
4.1</p>
      <sec id="sec-4-1">
        <title>Experimental data sets</title>
        <p>A cohort of 157 patients with acute ischaemic stroke were recruited. Patients
presenting to the Emergency Department of the Royal Brisbane and Women's
Hospital, an Australian tertiary referral teaching hospital, within 48 hours of
stroke or existing inpatients with an intercurrent stroke were enrolled
prospectively. Important physiological parameters, such as blood pressure, were recorded
at least every 4 hours from the time of admission until 48 hours after the stroke.
These values were used as the outcome variable in the analyses. The
measurements from patients who died during these rst 48 hours were also included in
the analyses. Furthermore, some demographic and other stroke-related data were
also collected such as the age and gender. The age range of these 157 patients
was 16 to 92 years with median age 75 years. The patient distribution based on
di erent values of RS3 is showed in Figure 2.
As shown in Figure 2, RS3 score varies between 0 and 6. Patients with RS3 =
6 means the subject is dead after three months and RS3 = 0 means the subject
recovers quite well after three months. Based on RS3 values, patient outcomes
can be divided into good/bad groups basing on di erent grouping criteria. Figure
3 illustrates patient distributions under three type grouping criteria.
4.3</p>
      </sec>
      <sec id="sec-4-2">
        <title>Prediction accuracy comparisons</title>
        <p>Applying techniques described in Section 3, we run experiments on various
grouping criteria to test our stroke outcome prediction algorithm. We always
notice that `backward search' generates more accurate prediction results, which
will thus be used as our default feature set search strategy. Figure 4 shows
prediction accuracy comparisons under all three types of grouping criteria. In
Figure 5, we also evaluate the e ciency of including trend pattern as prediction</p>
        <p>Acute Ischemic Stroke Prediction
features. Experiment shows that by adding those simple trend features, the
prediction accuracy on all three grouping types is unanimously boosted from 71%
to 89 91%.
5</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Conclusion</title>
      <p>In this paper, we describe novel algorithms to predict three months stroke
outcomes. We have quanti ed the great improvements brought by including
physiological data trend patterns as features of a classi er. We believe that these
trends play important roles on three months outcomes of stroke patients. The
e ciency and accuracy of our algorithm have also been demonstrated through
our experiments.</p>
      <p>In our future work, we will rst try to locate the most important trend pattens
for stroke outcome predictions. Then we will work with healthcare professionals
to nd clinical ground truth beneath those physiological trend patterns of stroke
patients. This will greatly bene t clinical treatments of acute ischemic stroke.
We also plan to run clinical trials to validate our prediction methods on other
real data sets of stoke patients.</p>
      <p>Acute Ischemic Stroke Prediction</p>
    </sec>
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