Mathematical models applied to the prediction of doping in male athletes
The compartmental model is a mathematical model (usually described by a set of differential equations) that describes how individuals from different compartments (or groups) that represent a population, interacts. The model is suitable especially for epidemic model, modeling spread of disease bu...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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MRE Press
2023-07-01
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| Series: | Journal of Men's Health |
| Subjects: | |
| Online Access: | https://oss.jomh.org/files/article/20230731-55/pdf/JOMH2023032202.pdf |
| _version_ | 1797326571791450112 |
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| author | Christine Gabriela Viscotel Mariana Rotariu Marius Turnea Dragos Arotaritei Claudiu Mereuta Mihai Ilea Iustina Condurache Andrei Gheorghita |
| author_facet | Christine Gabriela Viscotel Mariana Rotariu Marius Turnea Dragos Arotaritei Claudiu Mereuta Mihai Ilea Iustina Condurache Andrei Gheorghita |
| author_sort | Christine Gabriela Viscotel |
| collection | DOAJ |
| description | The compartmental model is a mathematical
model (usually described by a set of differential equations) that
describes how individuals from different compartments (or groups) that represent
a population, interacts. The model is suitable especially for epidemic model,
modeling spread of disease but also in simulation of interaction among social
groups. The compartmental model has few assumptions to be feasible: “the
infection/contamination rate” can be a function of many parameters (seasonality,
epidemic waves, dependence of social distancing, policy of awareness, policy, and
so one). The main assumption is that the population is homogeneous but, in
reality, the heterogeneity of population (spatial localization, seasonal,
demography) plays an important role in accuracy of models. Our approach was based
on another method that has been used in the last years, the inclusion of a
temporal function including heterogeneity in the influence that conduct to doping
similar to rate of infection from epidemic models. In this paper, a new model is
proposed for quantitative analysis of doping in a particular selected sport.
Almost all the models in doping use the biological markers and effect of doping
in declared by athletes involved in use of banned substances in a quantitative
analysis over a group of high-performance athletes. The proposed compartmental
model SEDRS (Susceptible-Exposed-Doped-Recovered-Susceptible) includes the
heterogeneity shaped by awareness, due to social interaction that transmit the
anti-doping policy. These measures are patterned by social interaction,
especially during competitions and training, and this approach is included in
system of integrodifferential equations. A heterogeneous (SEDRS) model is
numerically solved and the solutions show how the social factor can contribute to
decay of doping phenomenon of male athletes and the quantifiable influence in a
healthier atmosphere in sport. The scope of the paper is the prediction of doping
cases based on SEDRS model. |
| first_indexed | 2024-03-08T06:26:09Z |
| format | Article |
| id | doaj.art-43d025fd17d94a5599c48266a58831e8 |
| institution | Directory Open Access Journal |
| issn | 1875-6859 |
| language | English |
| last_indexed | 2024-03-08T06:26:09Z |
| publishDate | 2023-07-01 |
| publisher | MRE Press |
| record_format | Article |
| series | Journal of Men's Health |
| spelling | doaj.art-43d025fd17d94a5599c48266a58831e82024-02-03T14:29:43ZengMRE PressJournal of Men's Health1875-68592023-07-011979310010.22514/jomh.2023.061S1875-6867(23)00030-1Mathematical models applied to the prediction of doping in male athletesChristine Gabriela Viscotel0Mariana Rotariu1Marius Turnea2Dragos Arotaritei3Claudiu Mereuta4Mihai Ilea5Iustina Condurache6Andrei Gheorghita7Romanian National Anti-Doping Agency, 022103 Bucharest, RomaniaDepartment of Biomedical Sciences, Faculty of Medical Bioengineering, University of Medicine and Pharmacy “Grigore T. Popa”, 700454 Iasi, RomaniaDepartment of Biomedical Sciences, Faculty of Medical Bioengineering, University of Medicine and Pharmacy “Grigore T. Popa”, 700454 Iasi, RomaniaDepartment of Biomedical Sciences, Faculty of Medical Bioengineering, University of Medicine and Pharmacy “Grigore T. Popa”, 700454 Iasi, RomaniaFaculty of Physical Education and Sport “Dunărea de Jos”, University of Galati, 800003 Galati, RomaniaDepartment of Biomedical Sciences, Faculty of Medical Bioengineering, University of Medicine and Pharmacy “Grigore T. Popa”, 700454 Iasi, RomaniaDepartment of Biomedical Sciences, Faculty of Medical Bioengineering, University of Medicine and Pharmacy “Grigore T. Popa”, 700454 Iasi, RomaniaDepartment of Biomedical Sciences, Faculty of Medical Bioengineering, University of Medicine and Pharmacy “Grigore T. Popa”, 700454 Iasi, RomaniaThe compartmental model is a mathematical model (usually described by a set of differential equations) that describes how individuals from different compartments (or groups) that represent a population, interacts. The model is suitable especially for epidemic model, modeling spread of disease but also in simulation of interaction among social groups. The compartmental model has few assumptions to be feasible: “the infection/contamination rate” can be a function of many parameters (seasonality, epidemic waves, dependence of social distancing, policy of awareness, policy, and so one). The main assumption is that the population is homogeneous but, in reality, the heterogeneity of population (spatial localization, seasonal, demography) plays an important role in accuracy of models. Our approach was based on another method that has been used in the last years, the inclusion of a temporal function including heterogeneity in the influence that conduct to doping similar to rate of infection from epidemic models. In this paper, a new model is proposed for quantitative analysis of doping in a particular selected sport. Almost all the models in doping use the biological markers and effect of doping in declared by athletes involved in use of banned substances in a quantitative analysis over a group of high-performance athletes. The proposed compartmental model SEDRS (Susceptible-Exposed-Doped-Recovered-Susceptible) includes the heterogeneity shaped by awareness, due to social interaction that transmit the anti-doping policy. These measures are patterned by social interaction, especially during competitions and training, and this approach is included in system of integrodifferential equations. A heterogeneous (SEDRS) model is numerically solved and the solutions show how the social factor can contribute to decay of doping phenomenon of male athletes and the quantifiable influence in a healthier atmosphere in sport. The scope of the paper is the prediction of doping cases based on SEDRS model.https://oss.jomh.org/files/article/20230731-55/pdf/JOMH2023032202.pdfanti-doping policycompartmental modelsprobability distributionheterogenous models |
| spellingShingle | Christine Gabriela Viscotel Mariana Rotariu Marius Turnea Dragos Arotaritei Claudiu Mereuta Mihai Ilea Iustina Condurache Andrei Gheorghita Mathematical models applied to the prediction of doping in male athletes Journal of Men's Health anti-doping policy compartmental models probability distribution heterogenous models |
| title | Mathematical models applied to the prediction of
doping in male athletes |
| title_full | Mathematical models applied to the prediction of
doping in male athletes |
| title_fullStr | Mathematical models applied to the prediction of
doping in male athletes |
| title_full_unstemmed | Mathematical models applied to the prediction of
doping in male athletes |
| title_short | Mathematical models applied to the prediction of
doping in male athletes |
| title_sort | mathematical models applied to the prediction of doping in male athletes |
| topic | anti-doping policy compartmental models probability distribution heterogenous models |
| url | https://oss.jomh.org/files/article/20230731-55/pdf/JOMH2023032202.pdf |
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