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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>November</journal-title>
      </journal-title-group>
      <issn pub-type="ppub">1613-0073</issn>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Complex System for Radio Location Field Quality Assessment</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Maksim Tkachenko</string-name>
          <email>maksim.tkachenko@knu.ua</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Volodymyr Petrivskyi</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Pavel Petrov</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yaroslav Petrivskyi</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oleksandr Pyzh</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Workshop</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Rivne State Humanitarian University</institution>
          ,
          <addr-line>St. Bandery str. 12, Rivne, 33000</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Taras Shevchenko National University of Kyiv</institution>
          ,
          <addr-line>Bohdan Hawrylyshyn str. 24, Kyiv, 01001</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>University of Economics</institution>
          ,
          <addr-line>77 Kniaz Boris I Blvd., Varna, 9002</addr-line>
          ,
          <country country="BG">Bulgaria</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2023</year>
      </pub-date>
      <volume>2</volume>
      <fpage>0</fpage>
      <lpage>21</lpage>
      <abstract>
        <p>In the article designed by authors complex modeling system is presented. The main objective of the developed system is to assess the radar location field (RLF) quality of a specific grouping of radar reconnaissance equipment and a specific air situation. Also, in the manuscript subsystems of complex modeling system such as aerial object movement model, order of battle of the radar group, airspace survey model, processing of radiolocation information, task management and radar location field quality assessment block are presented.</p>
      </abstract>
      <kwd-group>
        <kwd>Keywords1</kwd>
        <kwd>Radio location field</kwd>
        <kwd>radar</kwd>
        <kwd>radar stations</kwd>
        <kwd>aerial objects</kwd>
        <kwd>automation equipment complex</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Radar stations are an important part of modern society. Estimating the effectiveness of the radar
field is an important task with numerous advantages and relevance in various fields. In the field of
security, radar systems are used to detect, track and identify objects in real-time. Evaluation of the
effectiveness of the radar field allows you to identify possible problems and ensure safety at airports,
sea and air transport, defense facilities, etc. In the fields of aviation, space and astronomy, radar systems
are important for air and space surveillance, help in controlling the movement of aircraft and supersonic
aircraft, space exploration, detection and study of planets and other objects. The effectiveness of radar
systems directly affects the safety of aviation and space flights. In military applications, radar systems
help in the early detection of attacks, the location of artillery firing points, and the determination of
enemy troop movements. Assessing their effectiveness is critically important for the defense of national
security. Radar systems also play an important role in weather forecasting and natural disaster detection.
They make it possible to measure atmospheric parameters, detect radiation and other phenomena
affecting the climate and environment. In seafaring, radar systems are used for navigation, helping ships
and vessels to avoid obstacles and dangers. Radar systems can be used to monitor and supervise the
production, transportation and storage of oil and gas, as well as to detect leaks and environmental
pollution.</p>
      <p>Given these applications and the need for accuracy and reliability, the evaluation of radar field
performance remains critical to ensuring safety, accuracy, and productivity in many areas of our lives.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Literature overview</title>
      <p>
        Many scientific works are devoted to the study of radar and the effectiveness of the radar field. The
work [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] assembles a micron-scale infrared emitter, a millimeter-scale microwave absorber, and a metal
reflector to propose a hierarchical metamaterial that reduces microwave scattering and reflects
lowinfrared waves. As a proof of concept, laser etching micro-manufactures an upper infrared shielding
layer with a periodic metal pattern. At the same time, bottom square frustum metastructure composites
are fabricated and optimized based on genetic algorithms. In the paper [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] authors extend the curvilinear
      </p>
      <p>2023 Copyright for this paper by its authors.
CEUR</p>
      <p>
        ceur-ws.org
collocated-grid finite-difference method, which has been developed in the study of seismology, to the
2D electromagnetic simulation of ground penetrating radar (GPR). The method combines curvilinear
coordinates and a collocated grid, so it can better describe the geometry of the irregular interfaces than
the traditional finite difference method and is more efficient than the finite element method which is
suitable for complex geometries. In the article [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] a novel approach to monitor the postural activity of
sows in farrowing pen using a millimeter-wave radar imaging system is presented. Three-dimensional
images of the scene are obtained from a 77 GHz Multiple-Input Multiple Output radar and the
mechanical scanning of the radar beam. In the paper [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] scientists develop a signal processing algorithm
for conformal MIMO radar. According to the Least Square (LS) criterion and Maximum Likelihood
(ML) criterion, the target Sinclair matrix is estimated. Paper [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] addresses the problem of tensor filters
in application to space–time-range clutter suppression for FDA-MIMO radar. The characteristics of
space–time-range clutter are discussed to establish the multidimensional signal models. In the paper [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]
a novel algorithm for efficiently separating ambient air and precipitation echoes from the Doppler power
spectrum is presented. The proposed Mirror-Minimum Algorithm leverages mirror image formation in
opposite off-zenith beams to separate the echoes. In the research [7] authors formulate the optimal
placement of sensors in the collocated monostatic MIMO radar to improve the sum coarray as well as
the difference coarray of the sum coarray. Also, the authors present a mathematical framework to
achieve the optimal solution for both problems. In the paper [8] a new radar mixed pulse train
deinterleaving algorithm based on the extended Farey dictionary and improved generalized orthogonal
matching pursuit is proposed. This method is particularly suitable for the interleaving of the short and
highly interleaved missing pulse train in complex electromagnetic environments. In the research [9], an
adversarial anti-jamming decision-making network for cognitive radar via multi-agent deep
reinforcement learning (MDRL) is proposed, which has good self-learning ability and can meet the
requirements of intelligent, dynamic, and real-time in modern electronic warfare. Since competitive
decision-makers are considered and these two confrontational sides are not able to obtain completely
accurate information about each other, the environment model is specifically constructed as a partially
observable Markov decision process. The paper [10] studies a minimum-time trajectory planning
problem under radar detection, where a Dubins vehicle aims to approach a target under a limited
probability of being detected.
      </p>
      <p>The main point that was not taken into account in the reviewed studies is the lack of assessment of
the effectiveness of the radar signal. That is why the presented work is relevant.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Problem formulation</title>
      <p>The radar field is used to detect and track real targets, build track information and combine it from
several sources.</p>
      <p>The quality of the radar field is proposed to be evaluated by a vector of indicators that can be divided
into temporal, spatial, reliability, accuracy, load and completeness of information. Each of the described
characteristics corresponds to the concept of quality. For example, the quality of the time characteristic
of target detection is the time of continuous tracking of the target. That is, the longer the system
accompanies the target, the higher the quality indicator.</p>
      <p>Under the quality of the radar field, we will consider a set of values of indicators of the quality of
the functioning of the radar field.</p>
      <p>The problem is that, on the basis of the received vector of quality indicators, to identify the weak
points of the radar field in order to improve its configuration at different heights.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Complex modeling system</title>
      <p>The complex modeling system is designed to assess the radar location field (RLF) quality of a
specific grouping of radar reconnaissance equipment and a specific air situation.</p>
      <p>The complex modeling system consists of the following components:
 the model of the movement of an aerial object (AO), which consists of a certain number of points at
which a maneuver can be set according to the course, altitude, speed, and the use of active or passive
obstacles. The number of software tracks is limited by the computing capabilities of the computer;
 model of the order of battle of the RL group;
 model of airspace survey by means of radar (radar) reconnaissance (radar station (radar));
 the model of secondary processing of RL information (linking software tracks);
 model of tertiary processing of trace information (generalization of information from several means
of secondary processing);
 the task manager, which after a certain time connects the relevant models to exchange data between
models;
 block of RLP quality assessment after modeling the air situation and group work;
 graphical interface.</p>
    </sec>
    <sec id="sec-5">
      <title>Aerial object movement model</title>
      <p>The planning of the trajectory of the aerial object (AO) is carried out in the form of a set of reference
points with coordinates in the defined coordinate system and with the specified parameters of movement
and the main characteristics of the AO. We consider the movement of an aerial object as the movement
of a point on the HOU plane and is represented by a certain function of time  ( ). This function is
unknown. To construct the trajectory of the object's movement, we fix its position with a certain step
in time ∆ . That is, the trajectory is a set of points</p>
      <p>= { ( 0),  ( 0 + ∆ ), . . . ,  ( 0 + ∆ ∗  )},
where n – the number of points in the trajectory.</p>
      <p>The general view of the trajectory consists of reference points connected by straight lines. When
changing the course, the arc of a circle is calculated taking into account the speed, permissible overload,
and acceleration of free fall.</p>
      <p>The software movement trajectory can be represented by a set of sections of the following types:
 rectilinear movement, with maneuvering according to speed and height;
 curvilinear movement in an arc of a circle (course maneuver);
 curvilinear movement in a spiral (maneuver by course and height).
4.2.</p>
    </sec>
    <sec id="sec-6">
      <title>Model of the order of battle of the RL group</title>
      <p>The model of the order of battle of a radar group determines the organization and interaction of
various radar stations (RS) and automation equipment complexes (AEC) within the group to perform
specific combat tasks. This model takes into account such aspects as the placement of radars and
antiaircraft defenses, their characteristics and functions, communications, information exchange, and joint
actions. Here are the main components of such a model:</p>
      <p>1. Composition of radars of the group: The model determines which specific radars are part of the
group, their types, characteristics, and purposes of use.</p>
      <p>2. Placement and coordinates: The geographical location of each radar within the grouping is taken
into account, including their coordinates and height of placement.</p>
      <p>3. Control system: The model includes control systems for coordination and control of radar actions
within the group, synchronization of operations, and information exchange.</p>
      <p>4. Communication topology: The topology of the communication system (command hierarchy) is
taken into account, which ensures the transmission of data and commands between radars in a grouping
and with higher command centers (AEC).</p>
      <p>This model can be presented as [Fig. 3].</p>
      <sec id="sec-6-1">
        <title>Location and coordinates</title>
      </sec>
      <sec id="sec-6-2">
        <title>Communication topology Radar groups</title>
      </sec>
      <sec id="sec-6-3">
        <title>Control systems</title>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>Airspace survey model</title>
      <p>The mathematical model of the airspace survey of the radar station (Radar) is used to describe the
process of detection, tracking, and identification of objects in the air environment. This model depends
on the following parameters:</p>
      <p>1. Output data:
Radar parameters: These parameters include operating frequency, transmitter power, antenna pattern,
antenna angle, and other characteristics of the radar equipment.</p>
      <p>2. Geometric parameters: Height and coordinates of the radar installation, as well as antenna
orientation.
3. Atmospheric conditions: Atmospheric parameters, such as air density, temperature, humidity,
etc. can affect the propagation of radio waves.</p>
      <p>4. Antenna Diagram: Determines how an antenna directs electromagnetic waves into space. The
antenna diagram includes the azimuth and angular level (elevation) of the antenna.</p>
      <p>5. Equation of signal propagation: The model takes into account the physical laws describing the
propagation of radio waves in the atmosphere. This includes diffraction, scattering, and attenuation of
the signal.
[2 ( ) ⋅  ⋅ ( 0 + ∑
 =0   ⋅ ( 
 −1

)
2⋅ +2</p>
      <p>)]
 ПР =
 ⋅ 0⋅ 2⋅ 2
64⋅ 3⋅ 4 ⋅ (1 −</p>
      <p>100%</p>
      <p>)
  ( ) =
 ( ⋅  ⋅  )</p>
      <p>⋅   ⋅ 
where  ( ) – signal propagation equation,  ПР – radar signal strength,   ( ) - antenna orientation
in the azimuth-range plane,  ПР ( ) – reflected signal function.
as to optimize and adjust radar systems.</p>
      <p>This model is used to simulate radar operation, evaluate its characteristics and performance, as well
4.4.</p>
    </sec>
    <sec id="sec-8">
      <title>Model of secondary processing of radiolocation information</title>
      <p>The model of secondary processing of radar information describes the processes of processing and
analyzing data received from the radar in order to obtain useful information, determine the parameters
of targets, identify objects, and make decisions. This model includes several stages and components:
1. Target identification and segmentation: In this step, data is analyzed to identify targets and
separate them from the environment. This may include determining the coordinates of the targets, their
3. Tracking and tracking: The model includes tracking algorithms to track the movement and
changing parameters of targets over time. This allows you to determine the trajectories of movement
and predict the future positions of targets.
speed, and other characteristics.
speed are determined.</p>
      <p>2. Evaluation of target parameters: At this stage, additional target parameters such as course and
4. Exchange of information: The model contains the topology of the communication system for the
exchange of processed data with other units and systems of the armed forces.</p>
      <p>Presented model can be described as follows:</p>
      <sec id="sec-8-1">
        <title>Target identification and segmentation</title>
      </sec>
      <sec id="sec-8-2">
        <title>Evaluation target parameters</title>
      </sec>
      <sec id="sec-8-3">
        <title>Tracking target</title>
      </sec>
      <sec id="sec-8-4">
        <title>Information exchange</title>
      </sec>
    </sec>
    <sec id="sec-9">
      <title>Model of tertiary processing of trace information</title>
      <p>The model of tertiary processing of trace information includes the processes of analysis and
interpretation of traces (data on the movement of targets) obtained as a result of secondary processing
from subordinate units. This stage of information processing is aimed at highlighting important trends,
patterns, and characteristics, as well as making decisions based on this data. Here are the main
components of such a model [Fig. 8]:</p>
      <p>1. Input track data: This step uses track data, which includes information about coordinates,
velocities, azimuths, elevations, and other parameters of targets obtained from several subordinate
subunits.</p>
      <p>2. Data integration: The model integrates data from different sources, such as data from
subordinate units, to obtain a more complete picture of the situation.</p>
      <p>3. Tracking and Prediction: The model can include tracking algorithms to track the movement of
targets and predict their future positions and characteristics.</p>
      <p>4. Analysis of trends and patterns: At this stage, the data is analyzed to identify trends and patterns
in the movement of targets, such as changes in speed, course, altitude, and other parameters.</p>
      <p>5. Reporting and Communication: Tertiary processing results can be reported and communicated
to operators and commanders for decision-making and follow-up.
6. Feedback and correction: The model can provide mechanisms for correction and updating of
data based on new information.</p>
      <p>The task manager, which manages the sequential execution of the models and connects them for
data exchange, is implemented as a software component. Here is a general outline of how such a task
manager works:</p>
      <p>1. Definition of tasks and models: The list of tasks to be performed and the models that will be used
to solve them are defined. These are models related to data processing, calculations, analysis, and other
functions.</p>
      <p>2. Organization of the task queue: A queue has been created that will store the tasks that need to be
completed. Each task contains information about which model must be run to run it and what data it
needs.</p>
      <p>3. Execution of tasks: The dispatcher starts the execution of tasks one by one from the queue. It
creates processes and execution flows for each task and runs the corresponding models.</p>
      <p>4. Connecting models: To perform the task, the dispatcher connects the appropriate model. This
includes loading and initializing the model (both tasks are performed before simulation), passing data
and parameters to it, performing calculations, and receiving the result.</p>
      <p>5. Data exchange: The models exchange data with each other during the execution of the task.
4.7.</p>
    </sec>
    <sec id="sec-10">
      <title>Radar location field quality assessment block</title>
      <p>The block of quality assessment of the (РТВ)RTV grouping is the final stage for the purpose of
evaluating the effectiveness of the RLF. This block helps determine how well the radars performed their
tasks in simulated conditions. Here are the main stages and components of the radar quality assessment
unit show in Appendix.</p>
    </sec>
    <sec id="sec-11">
      <title>5. Conclusion</title>
      <p>Thus, in this article, the authors introduce a sophisticated modeling system. The primary goal of this
system is to evaluate the quality of the radar location field (RLF) for a particular set of radar
reconnaissance equipment and a specific aerial scenario. Within the manuscript, various subsystems of
the complex modeling system are discussed. These include models for aerial object movement, radar
group deployment, airspace survey, radiolocation data processing, task management, and the
assessment of radar location field quality. The use of the developed software using real data is presented.
The evaluation of the effectiveness of the radar field is also presented, which is positive, that is, the
radar field completely covers the required area. Also, examples of the user interface of the designed
program are presented.</p>
    </sec>
    <sec id="sec-12">
      <title>6. References</title>
      <p>[7] Mohammad Ebrahimi, Mahmoud Modarres-Hashemi and Ehsan Yazdian, Optimal placement of
sensors to enhance degrees of freedom in monostatic collocated MIMO radar, Digital Signal
Processing, Volume 142, 2023, p. 104224. DOI: https://doi.org/10.1016/j.dsp.2023.104224.
[8] Qiang Guo, Shuai Huang, Liangang Qi, Yani Wang and Mykola Kaliuzhnyi, A radar pulse train
deinterleaving method for missing and short observations, Digital Signal Processing, Volume 141,
2023, p. 104162. DOI: https://doi.org/10.1016/j.dsp.2023.104162.
[9] Wen Jiang, Yihui Ren and Yanping Wang, Improving anti-jamming decision-making strategies
for cognitive radar via multi-agent deep reinforcement learning, Digital Signal Processing, Volume
135, 2023, p. 103952. DOI: https://doi.org/10.1016/j.dsp.2023.103952.
[10] Zhuo Li, Keyou You, Jian Sun and Shiji Song, Fast trajectory planning for Dubins vehicles under
cumulative probability of radar detection, Signal Processing, Volume 210, 2023, 109085. DOI:
https://doi.org/10.1016/j.sigpro.2023.109085.</p>
    </sec>
    <sec id="sec-13">
      <title>Appendix</title>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          [1]
          <string-name>
            <given-names>Tuo</given-names>
            <surname>Zhang</surname>
          </string-name>
          , Yuping Duan, Jiangyong Liu, Hao Lei, Jingxuan Sun,
          <article-title>Huifang Pang and Lingxi Huang, Asymmetric electric field distribution enhanced hierarchical metamaterials for radarinfrared compatible camouflage</article-title>
          ,
          <source>Journal of Materials Science &amp; Technology</source>
          , Vol.
          <volume>146</volume>
          ,
          <year>2023</year>
          , pp.
          <fpage>10</fpage>
          -
          <lpage>18</lpage>
          . DOI: https://doi.org/10.1016/j.jmst.
          <year>2022</year>
          .
          <volume>10</volume>
          .043.
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          [2]
          <string-name>
            <given-names>Heng</given-names>
            <surname>Zhang</surname>
          </string-name>
          ,
          <string-name>
            <surname>Yao-Chong</surname>
            <given-names>Sun</given-names>
          </string-name>
          , Hengxin Ren, Bowen Ma, Wei Zhang, Qinghua Huang and
          <string-name>
            <given-names>Xiaofei</given-names>
            <surname>Chen</surname>
          </string-name>
          .
          <article-title>2D electromagnetic simulation for ground penetrating radar with a topographic ground surface by the curvilinear collocated-grid finite-difference method combined with equivalent field method</article-title>
          ,
          <source>Journal of Applied Geophysics</source>
          , Volume
          <volume>206</volume>
          ,
          <year>2022</year>
          , p.
          <fpage>104812</fpage>
          . DOI: https://doi.org/10.1016/j.jappgeo.
          <year>2022</year>
          .
          <volume>104812</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          [3]
          <string-name>
            <given-names>Dominique</given-names>
            <surname>Henry</surname>
          </string-name>
          , Jean Bailly, Tiphaine Pasquereau,
          <string-name>
            <surname>Jean-François</surname>
            <given-names>Bompa</given-names>
          </string-name>
          ,
          <article-title>Herve Aubert and Laurianne Canario, Monitoring of sow postural activity from 3D millimeter-wave radar imaging, Computers and Electronics in Agriculture</article-title>
          , Volume
          <volume>213</volume>
          ,
          <year>2023</year>
          , p.
          <fpage>108214</fpage>
          . DOI: https://doi.org/10.1016/j.compag.
          <year>2023</year>
          .
          <volume>108214</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          [4]
          <string-name>
            <given-names>Xin</given-names>
            <surname>Wang</surname>
          </string-name>
          ,
          <string-name>
            <surname>Shenghua Zhou</surname>
            ,
            <given-names>Wenyang</given-names>
          </string-name>
          <string-name>
            <surname>Zhao</surname>
            ,
            <given-names>Xiaojun</given-names>
          </string-name>
          <string-name>
            <surname>Peng</surname>
          </string-name>
          and Hui Ma,
          <article-title>Target polarization scattering matrix estimation with conformal MIMO radar</article-title>
          ,
          <source>Signal Processing</source>
          , Volume
          <volume>210</volume>
          ,
          <year>2023</year>
          , p.
          <fpage>109054</fpage>
          . DOI: https://doi.org/10.1016/j.sigpro.
          <year>2023</year>
          .
          <volume>109054</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          [5]
          <string-name>
            <given-names>Yan</given-names>
            <surname>Sun</surname>
          </string-name>
          ,
          <string-name>
            <surname>Wen-Qin Wang</surname>
            and
            <given-names>Chen</given-names>
          </string-name>
          <string-name>
            <surname>Jiang</surname>
          </string-name>
          ,
          <article-title>Space-time-range clutter suppression via tensor-based STAP for airborne FDA-MIMO radar</article-title>
          ,
          <source>Signal Processing</source>
          , Volume
          <volume>214</volume>
          ,
          <year>January 2024</year>
          , p.
          <fpage>109235</fpage>
          . DOI: https://doi.org/10.1016/j.sigpro.
          <year>2023</year>
          .
          <volume>109235</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          [6]
          <string-name>
            <surname>Baazil</surname>
            <given-names>P.</given-names>
          </string-name>
          <string-name>
            <surname>Thampy</surname>
            , Ajil Kottayil,
            <given-names>M.V.</given-names>
          </string-name>
          <string-name>
            <surname>Judy</surname>
          </string-name>
          and
          <article-title>Rejoy Rebello, MMA: A novel algorithm for efficient separation of the precipitation echoes from wind profiler radar's Doppler power spectrum</article-title>
          ,
          <source>Measurement</source>
          , Volume
          <volume>218</volume>
          ,
          <year>2023</year>
          , p.
          <fpage>113167</fpage>
          . DOI: https://doi.org/10.1016/j.measurement.
          <year>2023</year>
          .
          <volume>113167</volume>
          .
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>