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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Construction of Optimal Immune Network Model Based on Swarm Intelligence Algorithms for Computer-aided Design of New Drugs</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Galina A. Samigulina</string-name>
          <email>galinasamigulina@mail.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Zhazira A. Massimkanova</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Institute of Information and Computational Technologies</institution>
          ,
          <addr-line>Almaty</addr-line>
          ,
          <country country="KZ">Kazakhstan</country>
        </aff>
      </contrib-group>
      <fpage>349</fpage>
      <lpage>358</lpage>
      <abstract>
        <p>Nowadays the development of information technologies based on bioinspired intellectual approaches for the computer design of new drugs and forecasting of their properties is an urgent task. The research is devoted to the development of an intellectual information system for conducting scientific researches and forecasting the structure-property/activity relationship of new drugs based on artificial immune systems approach. In accordance with the concept of multi-algorithmic approach, the construction of an optimal immune network model and the allocation of informative descripts are carried out using swarm intelligence algorithms: modified algorithms of ant colonies and particle swarms. The developed information system allows selecting the best algorithm for preliminary data processing, in which after immune network modeling, the value of generalization error will be minimal. The use of multi-algorithm approach at immune network modeling of drugs requires the systematization of used algorithms and the creation of an integrated ontological model, which allows structuring the input and outputting data. There is presented an example of the database of sulfanilamides with different pharmacological activity, also modeling results and comparative analysis of the use of various algorithms of swarm intelligence.</p>
      </abstract>
      <kwd-group>
        <kwd>Swarm intelligence</kwd>
        <kwd>Drug design</kwd>
        <kwd>Optimal immune network model</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Nowadays modern methods of artificial intelligence are widely used in pharmacology
for computer modeling of new drug compounds with pre-defined properties. The
creation and investigation of chemical compounds is associated with the processing of
multidimensional data. The development of information technologies based on
intellectual approaches for processing and analysis a large data sets and solution of
forecasting is an actual problem. Neural networks [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], genetic algorithms [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], artificial
immune systems (AIS) [
        <xref ref-type="bibr" rid="ref3 ref4">3, 4</xref>
        ], swarm intelligence algorithms [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] and others are widely
used in medicine. The article [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] presents the joint use of modified AIS and a partial
Copyright © by the paper’s authors. Copying permitted for private and academic purposes.
      </p>
      <p>
        In: S. Belim et al. (eds.): OPTA-SCL 2018, Omsk, Russia, published at http://ceur-ws.org
least square regression method for breast cancer diagnosis. The proposed approach
has a significant effect on the classification accuracy for clinical diagnosis and can be
used to solve detection problems. The research [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] describes artificial immune
recognition algorithm, which shows the highest classification accuracy for tuberculosis
diagnosis. The method can be applied for any diagnostics, the classification accuracy
will be high, especially for large data sets.
      </p>
      <p>Forecasting quantitative structure-activity relationship (QSAR) of drugs and
identifying the links between compounds structure and their activity is an actual problem in
pharmacology. One of the important steps in the process of forecasting
structureproperty/activity relationship is the selection of informative descriptors for reducing
the size of a descriptor space.</p>
      <p>
        Nowadays bioinspired intellectual approaches to solve optimization problems are
actively developed. Swarm intelligence algorithms, such as ant colony optimization
(ACO) and particle swarm optimization (PSO), which based on animal and insect life
behavior to find the shortest path between food source and their nests, are applied in
QSAR modeling [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. The article [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] describes optimization algorithms (evolutionary
algorithms, particle swarm algorithms) to determine the best position of a ligand in
protein-ligand docking. The research is executed using program AutoDock. The
results show the effectiveness of particle swarm algorithm, especially for highly flexible
ligands. The work [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] presents a new approach, which is called two-step swarm
intelligence. The main idea of the algorithm is to divide the heuristic search into two
stages. At the first stage, agents create solutions that are used as the initial states in the
second stage. This algorithm is used in joint with ACO and PSO algorithms. The
obtained experimental results demonstrate that the two-step swarm intelligence
improves the characteristics of used algorithms. In research [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], there is proposed PSO
algorithm to search an optimal number of features and reduce the dimensionality of
spectral image data. The study [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] deals with particle swarm and firefly algorithm
for diagnosing a tumor in images of magnetic resonance and computer tomography.
In article [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], there is studied a joint use of chaotic optimization algorithm and PSO
algorithm to improve the classification accuracy, which are used in the selection of
data sets with certain pharmacodynamic properties of drug. The experimental results
present that the proposed method has good learning performance, strong
generalization ability and classification accuracy.
      </p>
      <p>
        At construction the optimal immune network model for forecasting QSAR of
drugs, there is relevant to use an ontological approach, which allows structuring the
input and output data, take into account the features of functioning and
interconnection, and save the time and computing resources while developing the information
system. In paper [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ], an improved PSO algorithm based personalized ontology
model is described. The model creates personalized user profiles and finds information
about users from local repositories. The experimental results show that the proposed
PSO algorithm based personalized ontology model is effective in comparison with
other models. In article [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], there is introduced PSO algorithm based on semantic
relations and tested on the engineering applications. The experimental results
demonstrate that for small data sets the optimization ability of PSO algorithm based on the
semantic relations is better than classical algorithms. The algorithm allows finding the
optimal value for short period. The work [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] provides PSO algorithm in ontology
repository for semantic web service selection.
      </p>
      <p>The following structure of the article is proposed: Section 2 describes problem
statement of the research and the immune network technology for forecasting of
QSAR of chemical compounds. Section 3 presents the creation of ontological models
of swarm intelligence algorithms. Section 4 is devoted to the development an
information system of forecasting for conducting scientific researches “SIIM” (Swarm
intelligence for immune network modeling) and the description of the database of
sulfonamides with different duration of action. Section 5 presents the modeling results
using the chemical compounds of sulfanilamide group as an example and comparative
analysis of used algorithms. At the end of the article, conclusion and references are
presented.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Problem Formulation and Solution Methods</title>
      <p>The problem statement is formulated as follows: it is necessary to develop an
information system of forecasting for conducting scientific researches ”SIIM” (Swarm
intelligence for immune network modeling) for creation an optimal immune network
model of drug compounds of sulfanilamide group based on swarm intelligence
algorithms: modified algorithms of ant colonies and particle swarms.</p>
      <p>
        Definition: optimal immune network is a network constructed based on the weight
coefficients of the selected informative descriptors and most fully characterizing the
considered chemical compound. The criterion of optimization is the storage of
maximum information at a minimum number of descriptors [
        <xref ref-type="bibr" rid="ref17 ref3">3, 17</xref>
        ].
      </p>
      <p>
        The intellectual technology for forecasting the properties of new chemical
compounds consists of the stages of preliminary data processing, immune network
training, image recognition, energy error estimation and selection of candidates of
drug compounds [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. Preliminary data processing includes the description of
chemical compounds in the form of descriptors, normalization, verification of the
completeness and reliability of descripts, also the reduction of low informative
descriptors. The selection of informative descriptors is performed using swarm
intelligence algorithms based on multi-algorithm approach [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ], which allows to use
several algorithms.
      </p>
      <p>
        The development of integrated ontological model (OM) allows to study of subject
domain of AIS in detail and to analyze of swarm intelligence algorithms deeply. The
use of modern ontological editors and the creation of OM facilitate the solution of
problem of selection informative descriptors and the construction of an optimal
immune network model. As a tool for developing OM, there is chosen the ontology
editor Protégé [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ].
      </p>
    </sec>
    <sec id="sec-3">
      <title>The Creation of Ontological Models</title>
      <p>The integrated OM of immune network technology, which consists of OM of
preliminary data processing, OM of image recognition and OM of energy error estimation of
AIS has been proposed. The integrated OM is presented in the form of a tuple of sets:
ОМINT = &lt;OMPR, OMIR, OMEEE&gt;,
where OMPR – OM of preliminary data processing;</p>
      <p>OMIR – OM of image recognition based on AIS;</p>
      <p>OMEEE – OM of energy error estimation of AIS.</p>
      <p>The ontological model of preliminary data processing consists of ontological
models of algorithms of ant colony and particle swarms:</p>
      <p>ОМPR = &lt;OMACO, OMPSO&gt;,
where OMACO – OM of algorithms of ant colony;</p>
      <p>OMPSO – OM of algorithms of particle swarms.</p>
      <p>There are many modifications of classical swarm intelligence algorithms for
preliminary data processing. Ant colony algorithm has several modifications such as
AntSrank, Max-min ant system, Elitist ant system, etc. In addition, particle swarm
algorithm has following modifications: CoPSO, Fully informed PSO, Inertia
Weighted PSO, etc. Table 1 shows OM of swarm intelligence algorithms, OM of
image recognition, OM of energy error estimation.</p>
      <p>Ontological model
Ontological model of
algorithms of ant
colony</p>
      <p>
        Swarm intelligence algorithms at selection of informative descriptors show different
results depend on the size and quality of data, the availability of independent
parameters and the optimality criteria. There are no universal algorithms for preliminary data
processing. The advantage of using a multi-algorithmic approach is the possibility of
choosing swarm intelligence algorithm, which allows to create an immune network
model with the best prognostic properties and shows the minimum value of
generalization error of AIS. Image recognition and energy error the estimation of AIS are
described in work [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ].
      </p>
    </sec>
    <sec id="sec-4">
      <title>Information System of Forecasting for Conducting Scientific</title>
    </sec>
    <sec id="sec-5">
      <title>Researches «SIIM»</title>
      <p>
        Information system of forecasting for conducting scientific researches «SIIM» [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ] is
used for selection informative descriptors at preliminary data processing. The
information system is developed in programming language Python 3.6. At the first step of
the information system, there is connected a database of descriptors of chemical
compounds. The database is displayed on the left screen of the interface. At next step
swarm intelligence algorithm (ant colony optimization or particle swarm
optimization) is chosen. The fields for input coefficients is displayed. A coefficients
are introduced depending on selected algorithm. For example, for particle swarm
optimization algorithm the coefficients are as followings: population size, iteration
numbers, weight and velocity. After introducing all coefficients it is need to click
"Run" button for calculation. The processing of multidimensional data is performed,
the allocation of informative descriptors and the construction of an optimal immune
network model are implemented. Modeling results are displayed on the right screen of
the interface. By comparing the results of AIS prediction, there is chosen swarm
intelligence algorithm with the minimum value of generalization error.
      </p>
      <p>As the database has been used a database of descriptors of sulfanilamide group
with pre-defined pharmacological properties on the basis of the resource Mol-instincs
and PubChem [25]. The database consists more than 1500 descriptors. Table 2 shows
a fragment of the sulfanilamide database, which are classified into short acting,
medium acting and long acting sulfanilamides.</p>
    </sec>
    <sec id="sec-6">
      <title>Modeling Results and Comparative Analysis</title>
      <p>At modeling sulfanilamides based on PSO algorithm the population size is 100,
iteration number is 50, с1 (weight) = 1, с2 (velocity) = 2, report frequency equal to
50. As a result, there were selected 49 informative descriptors from 1500 ones. Figure
1 shows the graph of selected informative descriptors based on PSO algorithm.
If at modeling the population size is 200, then, as a result, there are selected 11
informative descriptors from 1500 ones (Fig. 2).
From comparison purposes, both algorithms have the same iteration numbers and
population sizes. The comparative analysis allows to define optimization algorithm
with the best performance and low execution time. Table 3 shows a comparison of
modeling results based on algorithms of ant colonies and particle swarms.
The amount of population size and iterations affect the effectiveness of swarm
intelligence algorithms. A large number of populations and iterations allows agents to
explore descriptor space more detailed and reduce the number of selected informative
descriptors. The running time of PSO algorithm is 8 seconds when the population size
is equal to 100 particles. The running time of ACO algorithm is 20 seconds with
population size of 100. The modeling results show, PSO algorithm is considered as best
optimization method with minimum execution time.
6</p>
    </sec>
    <sec id="sec-7">
      <title>Conclusion</title>
      <p>
        Therefore, the study of structure-property/activity relationship of drug compounds,
the development of new non-traditional intellectual approaches of QSAR and the
computer molecular design of drugs with pre-defined properties are one of the most
actual and main tasks of modern pharmacology aimed at reduction the time and cost
of creating new drugs. The developed information system for conducting scientific
researches “SIIM” with the use of immune network technology for forecasting
structure-property/activity relationship of chemical compounds and multi-algorithmic
approach, which allows integrating different methods of artificial intelligence to solve
the problem of computer molecular design of new drugs with pre-defined properties.
The application of multi-algorithmic approach with the use of modified algorithms of
ant colonies and particle swarms allows performing preliminary data processing
efficiently, allocating the informative set of descriptors and creating an optimal immune
network model. At developing an information system, the use of ontological models
allows structuring data and analyzing the hidden interactions between descriptors. The
advantage of immune network modeling technology is the energy error estimation by
homologues [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ], which allows to separate chemical compounds with almost identical
structure, but belonging to different classes of pharmacological activity.
      </p>
      <p>The work was carried out according to the grant of the CS MES RK on the theme:
"Development and analysis of databases for the information system for prediction the
"structure-property" dependence of drug compounds based on artificial intelligence
algorithms" (2018-2020).</p>
    </sec>
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