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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>” Electronic Journal of Biotechnology</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.1016/j.bioorg.2020.104565</article-id>
      <title-group>
        <article-title>Data Processing of Ethylbenzene Oxidation Process using the Artificial Neural Networks</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Taras Chaikivskyi</string-name>
          <email>taras.v.chaikivskyi@lpnu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Bohdan Sus</string-name>
          <email>bnsuse@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sergiy Zagorodnyuk</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oleksandr Bauzha</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>Bandera Str, 12, Lviv, 79013</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Taras Shevchenko National University of Kyiv</institution>
          ,
          <addr-line>Kyiv 01033</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2021</year>
      </pub-date>
      <volume>107</volume>
      <issue>104565</issue>
      <fpage>1895</fpage>
      <lpage>1912</lpage>
      <abstract>
        <p>A target intelligent system for analysing data of liquid-phase oxidation process in an industrial method of obtaining valuable oxygen-containing compounds has been developed. A multilayer artificial neural network is the main part of this system for digital data processing. These neural network Clear simulations on the effect of the catalytic system and catalytic additives used in the process of ethylbenzene oxidation on the concentrations and selectivity for hydroperoxide of ethylbenzene, acetophenone, methyl phenyl carbinole, were obtained and analyzed for different catalysts by the means of an artificial. The neural network, after training, accurately reproduces the studied data from a sample of experiments and predicts the result of the study in extended time ranges and concentrations of catalytic impurities. The formed predictions and extimations allow experimenters to select the most promising direction when they wanna determine the concentration of active catalytic substances.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Ethylbenzene Oxidation</kwd>
        <kwd>Neural Networks</kwd>
        <kwd>Catalyst</kwd>
        <kwd>Acetophenone</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Artificial neural networks are widely applied in various technological and scientific fields
particularly in the chemistry. Approximately 80% of chemical and petrochemical productions in the
world are associated with catalytic processes. This also applies to the processes of liquid-phase
oxidation of hydrocarbons.</p>
      <p>In the modern industry the homogeneous catalytic liquid-phase oxidation of ethylbenzene (EB) to
acetophenone (AP) and hydroperoxide of ethylbenzene (HPEB), which are used as starting materials
for styrene and a large number of other products of organic synthesis, is widely used.</p>
      <p>The chemical processes of liquid-phase oxidation of hydrocarbons by molecular oxygen have a
relatively low selectivity for the target products and a low conversion. With a further increase in the
conversion of hydrocarbons, there is a sharp decrease in selectivity due to the accumulation of
byproducts, primarily acids, and esters, in the oxidate. A low conversion rate leads to appearing
additional significant energy costs for the recycling of unreacted hydrocarbons. All of the mentioned
above demonstrates the urgency of creating new efficient catalytic systems that can be used to
improve the selectivity and increase the conversion of the original hydrocarbon.</p>
      <p>The important ways to improve the existing homogeneous catalysts is the use of modifiers of
different nature, which improves the technical and economic performance of liquid-phase oxidation
processes. At the same time the existing experimental knowledge database is not enough to determine
the mechanism of action of these additives and predict their impact on oxidation reactions.</p>
      <p>Therefore, the technical task of creating new highly selective catalytic systems based on salts of
metals of variable valence (MVV), modified with various compounds for the oxidation of
ethylbenzene and other aromatic compounds remains relevant.</p>
      <p>The scientific novelty of the study is to significantly increase the efficiency of determining the
effect of additives on the ratio of oxidation products of ethylbenzene in the presence of a binary
catalytic system: industrial catalyst cobalt naphthenate - salts of metals of variable valence.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Works</title>
      <p>Artificial neural networks are also used in the following technological and scientific fields. Among the
technological and applied fields: energy generation and distribution [1], engineering [2, 3], agriculture
[4], environmental protection [5, 6]. In the oil industry [7] and financial markets [8, 9], models for
forecasting are often developed and implemented on the basis of neural networks. This approach
facilitates the control of production as a whole. Artificial intelligence (AI) is used to improvement the
management of techical systems, which involves improving parameters such as quality, safety,
efficiency and logistics in production [10]. AI is also used in many natural areas, particularly biology
[11, 12], physics [13], chemistry: catalyst [14, 15], oxidation [16, 17, 18], molecular dynamics
simulations [19].</p>
    </sec>
    <sec id="sec-3">
      <title>3. Proposed mechanism</title>
      <p>Wide use the binary catalytic oxidation systems of ethylbenzene is an effective way to increase the
speed and selectivity of the process. Previous studies show that use of different organic additives can
have significant impact on the processes of oxidation of aromatic and “aromatic-like” (e.g.
cyclohexane) compounds. In other scientific works various organic salts of different metals of
variable valence [20, 21] as components of the catalyst system were used and various compounds
were used as a catalytic additives to the main catalyst (salts of MVV).</p>
      <p>The use of binary catalytic oxidation systems of ethylbenzene is an effective way to increase the
speed and selectivity of the process. Previous studies show that use of different organic additives can
have significant impact on the processes of oxidation of aromatic and “aromatic-like” (e.g.
cyclohexane) compounds. In works as components of the catalyst system were used various organic
salts of different metals of variable valence [20-22] and various compounds used as catalytic additives
to the main catalyst (salts of MVV ) [20].</p>
      <p>Studies of the effect of the use of individual surfactants on the oxidation process of ethylbenzene
have shown that they to a greater or lesser extent affect the oxidation process. Thus, the next step in
the research should be to study the effects of binary catalyst systems.</p>
      <p>Figure 1 shows the chemical scheme of liquid-phase oxidation of ethylbenzene. In the presence of
salts of MVV direct oxidation of ethylbenzene to secondary products (acetophenone (AP) and methyl
phenyl carbinole (MPC)) is possible.</p>
      <p>The concentration of benzoic acid (BA) formed as a result of oxidation of EB in these conditions is
insignificant, and is omitted in the work.</p>
      <p>Regularities of liquid-phase oxidation of ethylbenzene in the presence of catalytic systems [MVV
salt - surfactant (SA)] were studied at a temperature of 403K and a pressure of 0.4 – 0.45 MPa. The
concentration of MVV salt was 1.0 • 10-3 mol/l. The mass ratio of salt MVV/SA was 1/1. An
industrial catalyst, cobalt naphthenate (NC), was used as an MVV salt.</p>
      <p>The results obtained by oxidation of ethylbenzene in the presence of catalytic systems [NC-SA]
were compared with those achieved by oxidation of ethylbenzene in the presence of individual NC
under the same conditions.</p>
      <p>The content of HPEB was determined titremetrically, the content of AP and MPC - by gas-liquid
chromatography.</p>
      <p>The data obtained during the experiments are presented in table 1. As surfactants, the following
compounds were taken:
• Polyethylene glycol (PEG)
• Chromoxane (Ch)
• Cyanethyl ether (CEE)</p>
    </sec>
    <sec id="sec-4">
      <title>4. Neural network model</title>
      <p>The input layer of the neural network consists of 8 input neurons. The values of the input signals
are normalized to 1. The neural network has three hidden layers, consisting of 20 neurons. The output
layer has 4 neurons. The structure of the neutron network is presented in Figure 2. This artificial
network makes it possible to sharpen the required number of neurons in the layers.</p>
      <p>The basis of neural network training is training, which is based on the repetition of training
samples that have the expected values of the output data of the neural network for the corresponding
values of the input data.</p>
      <p>The mechanism of training is to regulate the weight/priority of neurons. To assess the performance
of neural networks, it is important to pay attention to criteria such as learning outcomes and
effectiveness.</p>
      <p>The work uses a five-layer fully connected neural network of direct propagation, which was
studied on the basis of experimental data obtained during the oxidation of cyclohexane. The input
parameters used by the neural network are taken 8. The values of the input parameters are normalized
to 1. The output layer of the neural network has 4 neurons that characterize the concentrations of
substances formed by oxidation. This network has three hidden layers of 20 neurons each</p>
      <p>The neural network is trained on the basis of the training mechanism. To determine the minimum
of the error function, it is necessary to perform an algorithm for the inverse propagation of errors
using the stochastic gradient descent model.</p>
    </sec>
    <sec id="sec-5">
      <title>Results and discussion</title>
      <p>A sample of data was created to study the neural network from experimental results. Neural
network inputs characterize the experimental conditions. Outputs characterize the final results
(concentrations of the obtained substances).</p>
      <p>Input parameters:
1. The initial concentration of ethylbenzene hydroperoxide
2. The initial concentration of acetophenone
3. The initial concentration of MPC
4. The initial concentration of ethylbenzene
5. Normalized concentration of additive (polyethylene glycol)
6. Normalized concentration of additive (chromoxane)
7. Normalized concentration of additive (cyanethyl ether)
8. Normalized reaction time,</p>
      <p>During the reaction, the four aim substances (HPEB, AP, MPC and BA) can be formed from EB
not directly but as a result of the formation of intermediates (for example, MPC). Therefore, the initial
concentration of selected substances for neural network training is necessary.</p>
      <p>Binary cobalt naphthenate catalyst is used as the main catalyst. The ratio of catalyst components:
[cobalt naphthenate] / [additive] = 1/1. Reaction time (sampling of experimental data did not exceed
250 minutes, so the rationing was currently underway).</p>
      <p>Output parameters:
1. The final concentration of HPEB
2. The final concentration of AP
3. The final concentration of MPC
0,08
0,07
0,06
0,05
0,04
0,03
0,02
0,01</p>
      <p>0
0,14
0,12</p>
      <p>0,1
0,08
0,06
0,04
0,02
0
0
50
100
150
200
250
4. The final concentration of EB.</p>
      <p>Intermediate data were also used to create the training sample. For example, the input data is the
result of the experiment for 120 minutes, and as initial values the result of the experiment at a later
time.</p>
      <p>After training, the network provides the rate of reactions, which is presented in Figure1.</p>
      <p>In Figures 3-6 shows the dependences of the concentration of substances formed during the
oxidation reaction of EB. Only NC was used as a catalyst. Dependencies are clearly not linear.
0
50
100
150
200
250</p>
      <p>On Figutres 3-6 red points mark experimental data, blue points are predicted by the neural
network, after training.</p>
      <p>As can be seen from Figures 3-6. After training, the neural network reproduces the results of the
experiment and provides intermediate results.</p>
      <p>As can be seen from Figures 3-5. The effect of NC is associated primarily with the formation of an
active catalytic complex [NC - substrate]. The presence of such complex directs the oxidation process
of ethylbenzene along a less energy-efficient reaction route - oxidation into HPEB. The nature of the
kinetic curve of HPEB accumulation in the reaction medium can be explained by the fact that after
about 160-180 min the experiment reaches the maximum possible, for these conditions, HPEB
0,03
0,025</p>
      <p>0,02
0,015</p>
      <p>0,01
0,005
0
0
50
100
150
200
250
concentration and then along with the process of direct oxidation of ethylbenzene to AP starts
oxidation of HPEB to AP. This assumption is also confirmed by a sharp increase in the rate of
accumulation of AP after 160-180 min of the experiment.</p>
      <p>3
2,5
1,5
2
1
0,5
0
0
50
100
150
200
250</p>
      <p>On Figures 7-10 are presented the dependences of the concentration of substances formed during
oxidation reaction of EB. As a catalyst we used NC + PEG system. are presented the dependences of
the concentration of substances formed during oxidation reaction of EB. As a catalyst we used NC +
PEG system.</p>
      <p>On Figures 7-10 red points mark experimental data, blue points are predicted by the neural
network, after training.</p>
      <p>The data presented in Figures 6-.9 show that the use of a binary catalytic system NC
PEG leads to an increase in the amount of formed HPEB in the reaction medium.</p>
      <p>Based on the obtained data, it was suggested that the use of PEG as a catalytic additive
leads to the formation of a new active catalytic complex [NC - PEG - substrate], the presence
of which in the reaction medium facilitates the oxidation reaction.</p>
      <p>0
50
100
150
200
250
0,18
0,16
0,14
0,12</p>
      <p>0,1
0,08
0,06
0,04
0,02</p>
      <p>0
0,3
0,25</p>
      <p>0,2
0,15</p>
      <p>0,1
0,05</p>
      <p>0</p>
      <p>As in the case of the use of individual NC as a catalyst, the maximum possible
concentration of HPEB, for these conditions, in the reaction medium is observed, followed by
a sharp increase in the rate of accumulation of secondary oxidation products (AP and MPC).
However, it should be noted that this concentration is higher (compared to the use of
individual NC) and is achieved later (200-210 minutes of the experiment).</p>
      <p>0
50
100
150
200
250</p>
      <p>On Figures 11-14 are presented the dependences of the concentration of substances
formed during oxidation reaction of EB. As a catalyst we used a system NC + Ch.</p>
      <p>Figure 12 shows that the experimental points are poorly correlated with the data issued by the
neural network. This effect may be explained due to the fact that the amount of MPC formedas a
result of the reaction is very little, and it has little to non-effect on the rest of the reaction. As a result,
when searching for the local minimum of error, the neural network did not establish clear effects of
the formation of this substance as a result of the reaction.</p>
      <p>On Figures11-14 red points mark experimental data, blue points are predicted by the neural
network, after training.</p>
      <p>0
50
100
150
200
250
300</p>
      <p>The data presented in Figures 11 - 14 show that the effect of the catalytic system, with the
presence chromoxane as a catalytic additive, is associated with the existence of two influencing
factors. The first is the formation of a catalytically active complex [NC - Ch - substrate], the presence
of which in the reaction medium leads to an increase in the amount of formed HPEB (compared with
the use of individual NC as a catalyst), and the second is related to the mechanism of chromoxane
influence.</p>
      <p>This effect of the use of Ch leads to an increase in the total amount of AP formed during the
experiment. On Figures 15 -17 are presented the dependences of the concentration of substances
formed during the oxidation reaction of EB. As a catalyst we used NC + CEE system.</p>
      <p>During the EB oxidation reaction very small values of the substance HPEB are recorded in the
samples (within the error) Table 1., so some minimum value of this substance was chosen for training.
In practice, this means that HPEB with such catalysts is almost immediately converted into AP or
MPC.</p>
      <p>This leads to the fact that the neural network does not notice a significant impact of various factors
on the concentration of the formed HPEB. This input parameter is redundant, and it would be more
0
50
100
150
200
250
0,1
0,09
0,08
0,07
0,06
0,05
0,04
0,03
0,02
0,01</p>
      <p>0
0,3
0,25</p>
      <p>0,2
0,15</p>
      <p>0,1
0,05</p>
      <p>0
appropriate to train the neural network without this parameter. The fact that the neural network tries to
compare the amount of HPEB with the formation of other substances leads to distortion of the
expected results of the neural network. This is clearly seen in Fig. 15-17.</p>
      <p>0
50
100
150
200
250</p>
      <p>On Figures 15-18 red points means experimental data, blue points means predicted by the neural
network, after training process.</p>
      <p>During the experiment process, there was an almost complete absence of HPEB in reaction
products, along with a significant reduction the amount of formed AP and MPC (compared with the
use of individual NC as a catalyst for oxidation ).</p>
      <p>This behavor of CEE can be explained by the fact that CEE in its structure contains a triple bond
and by its nature is an inhibitor of accession reactions. Due to the formation of the [NC - CEE]
complex, this complex deactivates of the main catalyst, leading to a decrease in all kinetic process
parameters. When experimenter trained the neural network trained in a limited set of experimental
data he can expand the range of data that he can deal with.</p>
      <p>However, it should be noted that the data provided by the neural network do not give 100%
accuracy.</p>
      <p>0
50
100
150
200
250
0,008
0,007
0,006
0,005
0,004
0,003
0,002
0,001</p>
      <p>0
4,5</p>
      <p>4
3,5
2,5
1,5
0,5
3
2
1
0
0
50
100
150
200
250</p>
    </sec>
    <sec id="sec-6">
      <title>Conclusions</title>
      <p>Studies results are demonstrates a significant effect of surfactant additives on the oxidation of
ethylbenzene. The quantitative and qualitative effect parameters depends on the additives properties
and varies widely from accelerating the oxidation process to almost complete deactivation of the
catalyst. The use of artificial neural network allowes identify significant factors influencing additives,
also allowes exclude insignificant ones, which creates new opportunities and prospects for planning
future research and more qualified use of early obtained results in existing technological processes.</p>
      <p>Forecast data formed by neural networks allow us to identify and clarify ways to increase the
catalysis process efficiency, which makes it possible to carry out the ethylbenzene oxidation at higher
rates of conversion of raw materials, or to increase the yield of the desired substance as a result of
chemical reaction. The approach proposed in article can provides additional data for rapid preliminary
analysis of the identification of components of the catalysis process and also can reduces the cost
factors for raw materials and energy. It is shown that in data forecasting very important to take into
account only important features of the value of the exact dependence of the predicted variable and
then the time and resources needed for preparation of time-consuming experiments is reduces.</p>
      <p>The use of neural networks should be used to expand the range of values of the required values
with a limited set of experimental data. All subsequent experiments can increase the range of data
used for training a neural network, which, in turn, will improve the picture of the oxidation of
ethylbenzene.</p>
      <p>50
100
150
200
250
0,0025</p>
      <p>0,002
0,0015</p>
      <p>0,001
0,0005
0</p>
      <p>0
0,05
0,045</p>
      <p>0,04
0,035</p>
      <p>0,03
0,025</p>
      <p>0,02
0,015</p>
      <p>0,01
0,005
0
0
50
100
150
200
250
0,008
0,006
0,004
0,002</p>
      <p>0
0,8
0,7
0,6
0,5
0,4
0,3
0,2
0,1
0
0
50
100
150
200
250</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          <string-name>
            <given-names>Z.</given-names>
            <surname>Liu</surname>
          </string-name>
          ,
          <string-name>
            <given-names>H.</given-names>
            <surname>Li</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.</given-names>
            <surname>Tang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.</given-names>
            <surname>Zhang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>F.</given-names>
            <surname>Lin</surname>
          </string-name>
          ,
          <article-title>and</article-title>
          K. Cheng, “
          <article-title>Extreme learning machine: a new alternative for measuring heat collection rate and heat loss coefficient of water-in-glass evacuated tube solar water heaters,” SpringerPlus</article-title>
          , vol.
          <volume>5</volume>
          , no.
          <issue>1</issue>
          , p.
          <fpage>626</fpage>
          ,
          <string-name>
            <surname>Dec</surname>
          </string-name>
          .
          <year>2016</year>
          , doi: 10.1186/s40064-016-2242-1.
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          <string-name>
            <given-names>Alsulaili</given-names>
            <surname>Abdalrahman</surname>
          </string-name>
          , and Refaie Abdelrahman “
          <article-title>Artificial neural network modeling approach for the prediction of five-day biological oxygen demand and wastewater treatment plant performance” Water Supply</article-title>
          , Vol
          <volume>21</volume>
          ,
          <string-name>
            <surname>Issue</surname>
            <given-names>5</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Pages</surname>
            <given-names>1861</given-names>
          </string-name>
          <source>-1877. DOI 10</source>
          .2166/ws.
          <year>2020</year>
          .199
          <string-name>
            <surname>Chaikivskyi</surname>
            <given-names>T</given-names>
          </string-name>
          , Sus' B,
          <string-name>
            <surname>Bauzha</surname>
            <given-names>O</given-names>
          </string-name>
          and
          <string-name>
            <surname>Zagorodnyuk</surname>
            <given-names>S</given-names>
          </string-name>
          “
          <article-title>Multicomponent analyzer of volatile compounds characterization based on artificial neural networks</article-title>
          ,
          <source>” CMIS-2020</source>
          2608 pp
          <fpage>819</fpage>
          -
          <lpage>831</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          URL: http://ceur-ws.
          <source>org/</source>
          Vol-
          <volume>2608</volume>
          /paper61.pdf
          <string-name>
            <given-names>S.</given-names>
            <surname>Haider</surname>
          </string-name>
          et al.,
          <source>“LSTM Neural Network Based Forecasting Model for Wheat Production in Pakistan,” Agronomy</source>
          , vol.
          <volume>9</volume>
          , no.
          <issue>2</issue>
          , p.
          <fpage>72</fpage>
          ,
          <string-name>
            <surname>Feb</surname>
          </string-name>
          .
          <year>2019</year>
          , doi: 10.3390/agronomy9020072.
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>