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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Streaming Gait Assessment for Parkinson's Disease</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Cristopher Flagg</string-name>
          <email>cris@ir.cs.georgetown.edu</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sean MacAvaney</string-name>
          <email>sean@ir.cs.georgetown.edu</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ophir Frieder</string-name>
          <email>ophir@ir.cs.georgetown.edu</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Gholam Motamedi</string-name>
          <email>motamedi@gunet.georgetown.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Georgetown MedStar Hospital</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Georgetown University</institution>
        </aff>
      </contrib-group>
      <abstract>
        <p>Patients with progressive neurological disorders such as Parkinson's disease, Huntington's disease, and Amyotrophic Lateral Sclerosis (ALS) sufer both chronic and episodic dificulties with locomotion. These dificulties result in falls and injuries which negatively afect a patient's quality of life. Decision support within the health domain attempts to characterize the patient's current gait with respect to recent and long term gait characteristics to monitor disease degeneration and suggest preventative intervention. We propose the application of an attention based bi-directional recurrent neural network (RNN) to medical gait data collected from wearable mobile sensors to identify and rate the normality of gait patterns from streaming data and to inform clinicians of specific gait abnormalities. Experimental results with respect to multiple data sets demonstrate the efectiveness of streaming gait analysis to augment traditional health care diagnostic methods, automatically classify a patient's mobility, and provide monitoring of patients outside of the clinical environment.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>CCS CONCEPTS</title>
      <p>• Applied computing → Health care information systems;</p>
      <sec id="sec-1-1">
        <title>Health informatics; • Computing methodologies → Causal</title>
        <p>reasoning and diagnostics; Neural networks.</p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>INTRODUCTION</title>
      <p>Human gait is controlled by a complex set of interactions between
multiple organ systems. Keeping balance while standing on two
feet with relatively small surface area requires very complex and
delicate interactions between the musculoskeletal system on the
one hand, the peripheral nervous system (PNS) and the central
nervous system (CNS) on the other. This task becomes even more
complicated considering that while walking the whole body stands
only on one foot while the other foot is lifted and has to be put
back on the ground in synchrony with the other foot.</p>
      <p>
        Patients with Parkinson’s disease or Parkinsonism (a set of
similar neurodegenerative disorders) are increasingly at risk of falling
for a variety of mechanisms involved. By freezing of the upper
body during a walk, they would be thrown forward and given their
slowed postural reflexes they would fall; they develop rapid, small,
shufling steps and a tendency to run (festination). As the disease
progresses, movements are further impaired leading to stifness
and episodic immobility known as “freezing of gait" (FOG) [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ].
A recent multi-study, multi-regional estimate for individuals over
the age of 45 suggests there are 572 individuals with Parkinson’s
disease per 100,000 people [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] or over 1.5 million individuals with
Parkinson’s disease in the United States today.
      </p>
      <p>It is important to provide a continuous assessment of the quality
of the patient’s gait to assign both an instant assessment of the
normality of a patient’s gait in a clinical setting and an historical
context by which changes in the gait may be assessed over time.
The medical group associated with this study, MedStar Hospital
and the Georgetown University Department of Neurology, supports
over 6500 Parkinson’s patients and provides care for all manner of
neurological conditions that involve gait stability, including stroke
service, neuromuscular disorders, and movement disorders which
afect gait such as Parkinson’s, dystonia, tremors, and cerebellar
abnormalities. In conjunction with the diagnosis and management
of such conditions using traditional methods, we developed a neural
network for automated gait analysis that provides a diagnostic tool
for pre-clinical assessment and improved diagnosis. As a means
of continuous monitoring, our neural network for automated gait
analysis provides historical insight and long term monitoring for
decision support and preventative intervention.</p>
      <p>Figure 1 shows an example of the analysis of a gait for a
Parkinson’s disease patient. The gray box indicates the one second window
of data used to estimate the gait normality of the window, where the
normality is indicated by the point located in the upper right corner.
The cross-over from right to left foot shows a strong similarity to
the cross-over of a normal gait.</p>
      <p>Any deterioration in the structures involved in this process
may result in gait abnormality. As a result, gait abnormalities may
present in many diferent ways. For example, peripheral
neuropathy as a very common condition (afecting 2.4% of the population,
but by age rising up to 8%) can interfere with gait stability by
interfering with signal transduction (in particular deep positional
sensation carried by thick myelinated nerves) to the CNS. Patients
with severe peripheral neuropathy may not feel their position in
space fast enough to correct their position and fall during walking.</p>
      <p>Previous attempts to automatically distinguish degenerate gait
from normal gait are hindered by two factors. First, previous
research treats degenerate gait as always degenerate and normal gait
as always normal. Degeneration of gait is a gradual progression,
resulting in only a portion of the gait sufering from abnormalities.
Events such as FOG are episodic and occur at random intervals.
The progression gait degeneration provides indicators that may not
be apparent from a single clinical session with a subject.</p>
      <p>
        Second, publicly available data sets focusing on Parkinson’s
disease gait provide both raw sensor data as well as information
derived from this raw sensor data. These data include analysis
and derived signals that are simply not available without further
ofline processing of the raw data, which is not appropriate for
a streaming or online context. Some eforts automatically extract
these parameters in real-time [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] for the purpose of monitoring
and analysis, and while an improvement over ofline analysis, is
still only an abstraction of the raw sensor data.
      </p>
      <p>Given the goals of automatically classifying a patient’s mobility
and monitoring patients outside of the clinical environment we
validate the following hypotheses:
H1: Streaming gait analysis can rate the level or normality within
an individual’s gait pattern.</p>
      <p>H2: Streaming gait analysis can identify specific portions of an
individual’s gait pattern that sufer from degeneration.
H3: Streaming gait analysis can categorize degradation in an
individual’s gait pattern over time.
2
2.1</p>
    </sec>
    <sec id="sec-3">
      <title>RELATED WORK</title>
    </sec>
    <sec id="sec-4">
      <title>Non-Clinical Gait Analysis using Neural</title>
    </sec>
    <sec id="sec-5">
      <title>Networks</title>
      <p>
        The re-identification of an individual is typically framed as a video
gait analysis problem. Sequential frames of a video are used to
classify individuals. Recent work utilizes bi-directional RNNs both with
[
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] and without [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ] attention mechanisms. Other re-identification
techniques focus on gait analysis from multiple sensors placed on
the body (foot, thigh, and lower back) [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ].
      </p>
      <p>
        The authentication is performed using an RNN to process the
raw features and a CNN to perform the final authentication [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
Attention based RNNs are also used to study video gait silhouettes
[
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. Silhouettes are generated from a video sequence, and
viewindependent features are then generated for the gait. In this context,
gait irregularities refer to individually identifiable gait features
within a video sequence but not specific degeneration of any type.
      </p>
      <p>
        Finally, EEG signals used for authentication [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ] were employed
based on a 1D Convolutional Long Short-Term Memory Neural
Network (1D-Convolutional LSTM). The network decodes the EEG
using four levels of 1D convolutions prior to feeding the resultant
vectors into the LSTM.
      </p>
      <p>
        Analysis of activity context and activity recognition spans the
gamut of neural network implementations [
        <xref ref-type="bibr" rid="ref17 ref2">2, 17</xref>
        ]. The analysis
is usually derived from accelerometer and gyroscope data from
cell phones worn on the subject at a specific location. These data
sets [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] typically include walking (on both horizontal and inclined
surfaces), descending and ascending stairs, jumping, running or
jogging, sitting and standing. Activities of daily living include
running or ascending stairs. Hammerela[
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] explores deep,
convolutional, and recurrent approaches across three representative data
sets that contain movement data captured with wearable sensors
to diferent tasks. These data sets only focus on asymptomatic or
Non-Parkinsonian subjects.
      </p>
      <p>
        Attention-based gait recognition is approached as a WiFi
relfectance problem [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ] where spectrograms are generated from the
signal reflection from eleven walking subjects. Multiple WiFi
access points determine signals and feed parameters into bi-direction
RNN with attention. The research describes an encoder-decoder
format for the network, but then claims the decoder has no input,
reducing the network to an RNN with attention. Other systems
[
        <xref ref-type="bibr" rid="ref25">25</xref>
        ] analyze gaits and brainwaves of seven participants using an
encoder-decoder network with attention. The decoder does not
generate a sequence of output, so it is unclear what data is fed into
the final fully connected network, other than the attention vector.
2.2
      </p>
    </sec>
    <sec id="sec-6">
      <title>Clinical Gait Analysis</title>
      <p>
        Jovanov[
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] discloses a wearable system for real-time gait
monitoring to recognize FOG episodes. They recorded signals from five
experiments, four from simulated freezing gait events, and one from
the real patient and analyzed feasibility of the real-time detection.
      </p>
      <p>
        Joshi[
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] presents the automatic noninvasive identification of
Parkinson’s disease based on spatio temporal gait variables. The
authors use wavelet transform and a support vector machine (SVM)
to produce eficient classification based on a representation of spatio
temporal gait variables to identify Parkinson’s gait.
      </p>
      <p>
        Shetty[
        <xref ref-type="bibr" rid="ref18">18</xref>
        ] focuses on the specific gait characteristics which
would help diferentiate Parkinson’s Disease from other
neurological diseases (Amyotrophic Lateral Sclerosis (ALS) and Huntington’s
disease) as well as healthy controls. A range of statistical feature
vectors are considered from the time series gait data which are
then reduced using a correlation matrix. These feature vectors are
then individually analysed to extract the best seven feature vectors
which are then classified using a Gaussian radial basis function
kernel based support vector machine (SVM) classifier.
      </p>
      <p>
        Wu[
        <xref ref-type="bibr" rid="ref21">21</xref>
        ] uses stride interval parameters to form a feature vector
in the pattern classification experiments. The results evaluated with
the leave-one-out cross-validation method demonstrated that the
least squares support vector machine with polynomial kernels was
able to provide an accurate classification.
2.3
      </p>
    </sec>
    <sec id="sec-7">
      <title>Clinical Gait Analysis using Neural</title>
    </sec>
    <sec id="sec-8">
      <title>Networks</title>
      <p>
        In research relating to gait analysis, a form of testing referred to as
“all-training, all-testing" is utilized. This simply refers to training
on all of the data and using the validation set in lieu of the testing
set. For smaller data sets, a testing method called “leave one out" is
used, where all but one sample is used for training and validation,
and the held-out sample is used for testing. In research where this
method is used there is no strong definition of what is left out.
In several related papers, [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ] and [
        <xref ref-type="bibr" rid="ref28">28</xref>
        ], a bi-directional RNN is
utilized for analysis of gait data. The foot pressure signals are used
in conjunction with derived data relating to swing and stance. This
research compares each of three degenerative conditions to the
control gait using both the “all-training, all-testing" and “leave one
out" testing methodologies. These results are indicative of neural
network overfitting and use both raw and derived data not available
in a streaming context.
      </p>
      <p>
        A cross-correlation-based feature extraction and Elman’s
recurrent neural network (ERNN) based classification [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] is used to
partition healthy and pathological gaits, followed by partitioning of
pathological gaits into Parkinson’s disease, ALS, and Huntington’s
disease. The research uses a 50% training and a 50% testing split
and sufers from the issues raised in the “all-training, all-testing"
methodology. The research notes a direct visual analysis of foot
pressure measurements “reveals that it is impossible to diferentiate
between healthy and pathological subjects without any
ambiguity." The inability to visualize gait abnormality is a result of the
methodology used, which is addressed by this paper.
      </p>
      <p>
        For predicting FOG experienced by patients with Parkinson’s
disease [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ], an LSTM with a 50% training and a 50% testing split is
used to create an overall FOG identifier. Transfer learning applies a
new layer of the network which is trained on a portion of a held-out
subject’s data and then tested on another portion of that subject’s
data to identify the user.
      </p>
      <p>A multi-layered artificial neural network was constructed to
classify control, Parkinson’s disease, ALS, and Huntington’s
disease using “One-versus-one", “one-versus-rest", and
“control-versuspathological" analysis. The research includes an overview of the
results obtained by previous papers using the “Gait in
Neurodegenerative Disease Database" data set.</p>
      <p>
        Other classification utilizes a three layer Radial Basis Function
(RBF) activation based neural network [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ]. The authors feature
vector sequences for all the 93 Parkinson’s disease patients and 73
healthy controls and then extract all of the subject’s gait features
as a time series provided as the input of the RBF neural network.
      </p>
      <p>
        Mohammadian[
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] proposes a deep normative modeling as a
probabilistic novelty detection method, in which a model of the
distribution of normal human movements is recorded by wearable
sensors to detect abnormal movements in patients with Parkinson’s
disease and ALS. The problem is framed as a novelty detection
framework where a movement disorder behavior is treated as an
extreme of the normal range or, equivalently, as a deviation from
the normal movements.
      </p>
    </sec>
    <sec id="sec-9">
      <title>DATA SETS</title>
    </sec>
    <sec id="sec-10">
      <title>Gait in Neurodegenerative Disease</title>
    </sec>
    <sec id="sec-11">
      <title>Database (GaitNDD)</title>
      <p>
        This publicly available data set focuses on the pathophysiology
neurodegenerative diseases to improve the "ability to measure
responses to therapeutic interventions."[
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] Control subjects (n = 16)
are considered to have the optimal normal gait while subjects with
Parkinson’s disease (n = 15), Huntington’s disease (n = 20), or
Amyotrophic Lateral Sclerosis (n = 13) are considered to have abnormal
gaits. The subjects in this data set with Parkinson’s disease were
professionally assessed and ranked on the Hoehn and Yahr scale.
Subjects were required to walk independently for five min, did not
require an assistive device for mobility, and were free from other
gait afecting pathologies. The study was approved by the
Massachusetts General Hospital Institutional Review Board and made
publicly available through PhysioNet on December 21st, 2000.
      </p>
      <p>The data for this data set were obtained through force-sensitive
resistors placed under each subject’s foot. Stride-to-stride measures
of footfall contact times were derived from these signals. The data
are divided into subjects in the control group, with Parkinson’s
disease, with ALS, and with Huntington’s disease.</p>
      <p>To simulate a streaming data scenario, we only use the force
sensor readings. The additional derived signals were not used as
part of the data for analysis.
3.2</p>
    </sec>
    <sec id="sec-12">
      <title>Gait in Parkinson’s Disease (GaitPDB)</title>
      <p>
        This publicly available data set contains measures of gait from 93
subjects with idiopathic Parkinson’s disease and 73 control subjects.
The database includes the vertical ground reaction force from eight
foot pressure sensors recorded for subjects as they walked at a
selfselected pace for approximately two minutes on level ground. [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]
These data were collected at the Laboratory for Gait
Neurodynamics, Movement Disorders Unit of the Tel-Aviv Sourasky Medical
Center and made available on February 25th, 2008.
      </p>
      <p>The data also includes two additional data points that reflect the
sum of the left and right foot pressures. To simulate a streaming
data scenario, we only use the summed force sensor readings to
match the two force readings provided by the GaitNDD data set.
The additional force sensor readings and the derived signals are
not used as part of the data for analysis. Additionally, this data set
includes 214 total trials with Parkinson’s participants and 92 total
trials with control participants.
4
4.1</p>
    </sec>
    <sec id="sec-13">
      <title>EXPERIMENTAL METHODS</title>
    </sec>
    <sec id="sec-14">
      <title>Gait Sensors and Normalization</title>
      <p>The GaitNDD and GaitPDB data sets provide left and right binary
foot pressure signals which are appropriate incoming data in a
streaming context. Only the force sensor data from each data set
are used. The initial ten seconds of the time series include some
standing and non-walking measurements and data before this point
are not used in these experiments.</p>
      <p>
        Each stream of data, comprising left and right foot pressures, is
individually normalized within a ten second window to a range
from 0 to 1. As the window is passed over the data, a ten second
moving average is computed and used to normalize the streaming
data. Any incoming data that exceeded the [
        <xref ref-type="bibr" rid="ref1">0,1</xref>
        ] bounds are clipped
to the maximum or minimum value. These normalized data are
then used as the input to the neural network.
      </p>
      <p>The model used to identify normal patterns within a subject’s
gait contains three layers: 1) A Gated Recurrent Unit (GRU), 2) A
general attention layer to summarize the GRU output, and 3) A
ifnal fully connected layer.
4.2</p>
    </sec>
    <sec id="sec-15">
      <title>Network Design</title>
      <p>A Gated Recurrent Unit (GRU) is a variant of the Long Short Term
Memory (LSTM) RNN structure. Internally, the GRU uses an update
and reset gate to determine which information should be passed
to output. These gates determine how much information from
previous data should be saved as well as how the saved data are
combined with the incoming data to produce the output. In this
manner, the output of previous time steps is combined with the
current input. The full model is shown in Figure 2.</p>
      <p>As the data arrive at the model, one second (30 left/right data
points) of samples are grouped into a window and passed to the
GRU. Preliminary studies have shown a one second window
provides optimal results with these gait analysis methods. A sliding
window is used for this analysis, however other windowing
methods such as discrete windows could also be used. Each data point
passed to the GRU produces an output which is fed into the next
iteration of the GRU along with the next data point. These outputs
are generally considered hidden states since they are part of the
process of generating the final output, which is referred to as the
context. In the case of a bi-directional GRU, there are two hidden
states for each input: one generated by a forward pass over the
window and one generated by the backward pass over the window.
We follow the common convention of concatenating the forward
and backward results into a single vector.</p>
      <p>Once the GRU has processed the incoming data and created a
hidden state for each incoming sample, a general attention mechanism
is applied. A single fully connected layer with an input dimension
that matches the hidden state size of the GRU and an output of one
dimension is used as the attention layer. This layer is applied to the
hidden vectors and creates a single value representing the strength
or attention of the hidden state that matches the corresponding
input. This value is multiplied against the hidden state to increase
or decrease the strength of the hidden state with respect to the
attention. These modified hidden states are summed to create the
ifnal output of the GRU with respect to the general attention vector.
Since the left and right sensor values are combined together by the
GRU, the attention is applied at each time step, rather than to a
particular sensor reading, as shown in Figure 3.</p>
      <p>
        The final GRU output with applied attention is then fed into the
ifnal fully connected layer. This layer outputs a value relating the
normality of the data within the window where [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] is completely
normal and [0] is completely degenerate. The ground truth for this
value is determined by the file from which the data came: data
specified as Control are assigned a target value of [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] and data
other files (ALS, Parkinson’s disease, and Huntington’s disease) are
assigned a target value of [0]. Although our premise is that gait
is not a binary assignment of normal/degenerate across an entire
subject’s data set, the use of binary classification labels to train the
model provides enough insight into diference between normal and
degenerate cases to train an accurate model.
      </p>
      <sec id="sec-15-1">
        <title>Total Train Test</title>
        <p>As shown in Table 1, for all data sets used, a full training, validation,
and testing split is implemented as follows:</p>
        <p>For the GaitNDD data set, an equal number of control (12 files)
and other files (4 Parkinson’s disease, 4 ALS, and 4 Huntington’s
disease) are selected at random for the training set to provide a
balance of control and abnormal training input. In order to balance
the normal and abnormal cases, the data selection is constrained
by the number of normal gaits within the data set. Using an 80/20
split, the first 80% of the data for all of the selected training files
are used as the training set and the final 20% of the data are used
for the validation set. Since gait patterns are repetitive, this creates
over-fitting in the validation set. Dropout in the GRU is used to
lessen the impact of the over-fitting. Due to the limited amount of
data available within the data sets, it was not feasible to use disjoint
sets of subjects for the training and validation.</p>
        <p>For the testing set, four files from each category are selected at
random from the files not included in the training set. From these
ifles, the final 20% of the data for all of the selected testing files are
used for testing to match the data split used for the validation set,
with the understanding that the entire testing set could be used for
testing. Due to the repetition of the gait within the sessions, the use
of the final 20% of the testing data did not alter the results when
compared to the use of the entire testing set.</p>
        <p>For the GaitPDB data set, an equal number of control (57 files)
and idiopathic Parkinson’s disease (57 files) are selected at random
to provide a balance of control and abnormal training input. Using
an 80/20 split, the first 80% of all of the selected training files is
used as the training set and the remaining 20% of the data is used
for the validation set. Dropout, again used in the GRU, is used to
lessen the impact of the over-fitting.</p>
        <p>For the testing set, 16 patients with idiopathic Parkinson’s disease
and 16 control patients are selected at random from the files not
included in the training set. From these files, the final 20% of the data
are used for testing to match the data split used for the validation
set, with the understanding that the entire testing set could be used
for testing. The use of the final 20% of the testing data did not alter
the results when compared to the use of the entire testing set.
The PyTorch implementation utilizes an initial three layered
bidirectional GRU with 256 neurons in each hidden layer. A dropout
of 0.3 is used by the GRU to reduce overfitting. The input size is
two, with one channel for the left signal data and one channel for
the right signal data. The hidden vectors for each batch contained
one hidden layer for the forward RNN and one for the backwards
RNN, and are subjected to a general attention vector of size 512.
The attention vector, after application to each context vector, was
normalized using softmax and the results are summed to form a
single feature vector of 512. This is passed to a fully connected
layer with an output size of one. The learning rate is selected as
0.0001 and the cross entropy loss function is used for training. The
training batch size is selected as 1024 and the models were trained
for 20 epochs.
5</p>
      </sec>
    </sec>
    <sec id="sec-16">
      <title>EVALUATION</title>
      <p>Our evaluation of gait abnormalities focuses specifically on the
labeling of individual points within a gait based on the ‘normality’
of that point. The model is designed to distinguish between normal
and degenerate points within the data. This classification is applied
at three distinct levels of focus.</p>
      <p>First, an entire gait sequence is reviewed and the overall gait
pattern is classified as either normal or abnormal (one of
Parkinson’s disease, ALS, or Huntington’s disease in the case of the
GaitNDD data set) or the gait is classified as either normal or abnormal
(Parkinson’s disease in the case of the GaitPDB data set). This may
be applied by practitioners in a clinical setting to aid in the diagnosis
of neuromuscular disease.</p>
      <p>Additionally, specific portions of the gait sequence may be
analyzed to identify traits specific to an individual’s gait. This involves
review of a portion of the gait to identify cyclic irregularities such
as repeated pressure abnormalities in an otherwise normal gait or
portions of a degenerate gait that are not as strongly efected by
the neuromuscular disease.</p>
      <p>Finally, tracking the normality of a gait over time allows
degeneration to be identified. Long term changes in gait are reflected in
the normality as viewed on an hourly, daily, and weekly time frame.
Since the data sets do not include long-term tracking of gait, the
degeneration of gait over time is simulated by combining diferent
gaits and noting the change in the average normality of the gait.
5.1</p>
    </sec>
    <sec id="sec-17">
      <title>Identifying abnormal gait</title>
      <p>The model predicts the normality of a specific point within a gait
based on a sliding window. Within a streaming context, new data
points are received and the sliding window of data points is updated.
The updated window is used to predict the normality of the gait at
the new data point. The resulting stream of normality predictions
is collected to evaluate the overall gait of the subject for monitoring
and diagnosis.</p>
      <p>In the case of the GaitNDD data set, the first 10 seconds of data
included non-gait-events such as standing (high pressure on both
feet) and general shifting of balance. The data used for analysis of
overall gait quality begins after this initial 10 second window.</p>
      <p>To evaluate the quality of the model when applied to this data
set, the normality ratings of each data point within the session is
(a) GaitNDD Control Gait Control10, Testing Set
(b) GaitNDD Parkinson’s Gait Park11, Testing Set</p>
      <p>
        (c) GaitPDB Control Gait GaCo15, Testing Set
(d) GaitNDD Parkinson’s Gait JuPt11, Testing Set
collected and the average normality over the gait session is
calculated. A threshold is established to determine the classification of
this number. As optimal normal prediction is [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] and the optimal
degenerate prediction is [0], the threshold is determined by
identifying the threshold that provides the highest overall precision
over the validation set, in this case 0.45. This average normality is
then assigned to a grouping of normal (normality ≥ threshold) or
degenerate (normality &lt; threshold).
      </p>
      <p>Gait abnormalities are distributed across the entire session; thus,
initial attempts to use a non-binary classification for Parkinson’s
patients resulted in a lower precision and created dificult in
identifying normal subjects. In the initial test, assessed subjects were
assigned predicted normality values based on the inverse of the
Hoehn and Yahr scale where a patient with a low score was given
a more normal prediction (HY assessment of stage one was given a
predicted value of 0.8) and a higher score was given a more
abnormal prediction (HY assessment of stage four was given a predicted
value of 0.2). Using this gradation of predicted values for subjects
with Parkinson’s disease drove the average control patient’s
predictions toward the threshold since lower stage Parkinson’s patients
experience only minimal degradation.</p>
      <p>
        The mean squared error (MSE) is included as an additional
measure of classification performance. It is the average diference of
the correct (Target) classification value and the value predicted
(Pred) by the model. The MSE is calculated over all predictions
for the gait session and provides a means of comparing not only
the specific subject’s classification accuracy but also the accuracy
of the predictions over an entire class of subjects. This method is
particularly useful where the predicted value for a subject lies on a
scale between normal [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] and abnormal [0]. A macro-average of
the MSE for the training and testing sets is provided for each class.
      </p>
      <p>1 Õn
MSE =</p>
      <p>(T arдeti − Predi )
n i=1</p>
      <p>Table 2 shows the results of the final classification of the
GaitNDD data set. For this data set, any control subjects are considered
correctly classified if the average normality is above the defined
threshold, and all other subjects were considered correctly classified
if their average normality was below the threshold. The table shows
the number of correct classifications for both the validation and the
testing set. As seen with previous papers that use the “all testing, all
training" methodology, correct classification of all subjects within
the validation set is easily achieved with this model. The testing
set shows a high accuracy for classifying the degenerate cases but
is only able to correctly classify half of the control cases.</p>
      <p>
        To evaluate the quality of the model when applied to the GaitPDB
data set, the data is divided into two classes: control and Parkinson’s
disease. Control sessions are considered normal and given a ground
truth of [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Parkinsons’s disease sessions are considered degenerate
and given a ground truth of [0]. Again, a threshold is determined
based on the maximum precision obtained over the validation set
to distinguish normal and degenerate sessions.
      </p>
      <p>Table 2 shows the results of the final classification of the
GaitPDB data set. For this data set, any control subjects are considered
correctly classified if the average normality is above the defined
threshold and Parkinson’s disease subjects were considered
correctly classified if their average normality is below the threshold.
The table shows the number of correct classifications for both the
validation and the testing set. The larger data set allows for a higher
testing set prediction accuracy. The MSE is calculated using the
same method as the GaitNDD data set.</p>
      <sec id="sec-17-1">
        <title>Subject</title>
        <p>control10
control16
control2
control7</p>
        <sec id="sec-17-1-1">
          <title>Average</title>
          <p>park15
park3
park5
park6</p>
        </sec>
        <sec id="sec-17-1-2">
          <title>Average</title>
          <p>hunt10
hunt14
hunt2
hunt8</p>
        </sec>
        <sec id="sec-17-1-3">
          <title>Average</title>
          <p>als2
als4
als5
als7</p>
        </sec>
        <sec id="sec-17-1-4">
          <title>Average</title>
          <p>
            Similar to the supervised ground truth novelty estimate utilized
by Mohammadian[
            <xref ref-type="bibr" rid="ref15">15</xref>
            ], the percentage of abnormal estimates for
the GaitNDD testing set is shown in Table 3. This details the trend
observed in individual gaits, where the normal gaits include a set
of abnormal points and abnormal gaits include a set of normal
points. This distribution of points, shown in Figure 5, illustrates the
distribution of estimates across classes. A majority of points within
the control set are above the 0.45 threshold and a majority of the
Parkinson’s, Huntington’s, and ALS estimates are below the 0.45
threshold. That being said, the points within one standard deviation
of the classifications show significant overlap. As a diagnostic tool,
the goal is to provide both an overall classification and to identify
specific points within the gait that indicate abnormality.
          </p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-18">
      <title>Identification of specific gait abnormalities</title>
      <p>In addition to the overall classification of gait behavior, assessing
the normality of specific portions of a subject’s gait provides deeper
insight into the subject’s overall gait characteristics. This
information may be used for diagnosis and in a clinical review of the
gait reveals repeating patterns within the gait as well as episodic
abnormalities, such as FOG.</p>
      <p>In Figure 4(a), the control gait chosen from the GaitNDD testing
set exhibits a recurrent degradation after the transfer to the left
foot just after the point where the right foot (blue) lifts (reduces
pressure) and the left foot (green) steps down (increases pressure)
just before the 118 second mark. This is repeated again at the 102
second, the 128 second, and the 148 second marks. This signal within
this subject’s gait is regular and repeating (not episodic). Repeated
abnormalities on a single side of a transfer may not indicate an
abnormality beyond an injury. Other possible causes could include
imbalances such as a strong and weak side related to handedness.</p>
      <p>In Figure 4(b), the GaitNDD Parkinson’s testing gait seems to
have shufling gait issues and maybe even some festination (a
tendency to speed up in parallel with a loss of normal amplitude of
repetitive movement, e.g. marche a petits pas). The transfer from
the right foot (blue) to the left foot (green) exhibits some hesitation
characterized by a jagged transfer. This shows that there is
hesitance in the transfer from the left foot to the right foot. While the
session shows low normality over a majority of the gait, a highly
regular gait interval is indicated by the gray window which covers
the transfer from the left foot (green) to the right foot (blue).</p>
      <p>In Figure 4(c), a normal gait from the GaitPDB data set shows
a stumble or inconsistency between 18 and 21 seconds. This is an
episodic variation that is not exhibited in the surrounding steps. The
system identifies this as a portion of the gait with low normality.</p>
      <p>in Figure 4(d), no window is used since the abnormality from
seven seconds to tweleve seconds is clearly identified by the system.
While there is a generally low abnormality across the data set, this
particularly low normality could indicate a stumble or hesitance in
transition from the left foot (green) to the right foot (blue).
5.3</p>
    </sec>
    <sec id="sec-19">
      <title>Simulation of Degradation</title>
      <p>The publicly available data sets limit the scope of the data to a
single subject during a single clinical session and do not include
long-term degradation data. Long term activities of daily living data
sets are limited to only normal candidates. To simulate long-term
degradation, the testing files from the GaitNDD database are spliced
to create a transition between two diferent gaits.</p>
      <p>First, two files are chosen at random and are considered the
beginning sequence and the ending sequence. A single point is
chosen at random within each of the files. The nearest transition
from left foot to right foot, where the pressure for each foot is
approximately equal, is then selected in each file as the point at
which to splice the files. The data from the beginning sequence
(starting after 10 seconds) to the splice point in the beginning
sequence is added to the new time series. The data from the ending
sequence from the ending splice point onward are concatenated
to the new time series. The point at which the two time series are
joined is recorded as the splice point.</p>
      <p>To identify the transition point, there are four cases: a control
to control splice, a degenerate to degenerate splice, a control to
degenerate splice, and a degenerate to control splice. We generate
a random set of 40 transition files, 10 from each of the above cases.
The average normality for the beginning sequence is used as the
threshold for identifying changes to the gait. A change in long term
gait is defined as a change of average gait normality (over the one
second window) of 25%.</p>
      <p>As shown in Figure 6, changes in normality are identified around
the splice point. In the cases where the average normality of the
beginning sequence is within 20% of the average normality of the
ending sequence, the system is able to identify the gait degradation.
When the diference in average normality is less than 20% the
system is not able to consistently identify the degradation. While
not a long term analysis, it does demonstrate the ability to evaluate
changes to a patient’s gait.
6</p>
    </sec>
    <sec id="sec-20">
      <title>CONCLUSION</title>
      <p>Automated gait analysis provides decision support and aids in the
diagnosis of neurodegenerative diseases. The pre-clinical and
clinical assessment of the overall normality of a subject’s gait using
sensor data from a wearable device can improve the initial diagnosis
of Parkinsonian gait. We demonstrate this assessment using a
recurrent neural network architecture with attention. While this style
of network is known, the application of normality analysis could
have a considerable impact on a subject’s prognosis and improve
their overall quality of life.</p>
      <p>Streaming data from a wearable device makes it possible to
monitor disease degeneration and suggest preventative intervention
over an extended period of time. This data may also act as an
indicator that more serious clinical review is in order. Moving to
an approach that rates the normality of the gait gives doctors the
lfexibility to review a subject’s gait in a clinical setting, identify
specific issues within a subject’s gait, as well as provide long term
monitoring for continued gait degradation. This enables doctors to
increase the quality of care they provide to patients with
neurogenerative diseases and provides a continuous monitoring paradigm
for patients.</p>
    </sec>
  </body>
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