employee
, Russian Federation
student from 01.01.2020 until now
St. Petersburg State University
student
Saint Petersburg, St. Petersburg, Russian Federation
UDK 60 Прикладные науки. Общие вопросы
The paper presents the implementation of the mathematical model of cancer taking into account interference competition and the model of continuous treatment with a constant concentration of the drug in the patient's blood. The implementation was carried out using the MATLAB SimBiology application package. The principle of implementation of different stages of the course of the disease within the framework of one model is described. On the basis of the constructed models and SimBiology tools, a modification was carried out that implements the discrete administration of doses of the drug in courses and takes into account its dynamics in the body, taking into account the assumption that the drug is consumed only to suppress cancerous cells.
Cancer model, treatment modeling, dosed treatment, MATLAB SimBiology application, events, reactions.
1. Modelirovanie i ocenka sostoyaniya mediko-ekologo-ekonomicheskih sistem / pod red. V. A. Baturina. – Novosibirsk : Izdatel'stvo Sibirskogo Otdeleniya RAN, 2005. – 249 s.
2. Myurrey, D.D. Matematicheskaya biologiya : v 2 t. / D.D. Myurrey. – M., Izhevsk : NIC "Regulyarnaya i haoticheskaya dinamika", Institut komp'yuternyh issledovaniy, 2009. – T. 1. – 776 s.
3. Goncharova, A.B. Matematicheskoe modelirovanie lecheniya novoobrazovaniya metodom immunoterapii / A.B. Goncharova, E.P. Kolpak // Sovremennaya nauka: aktual'nye problemy teorii i praktiki. Seriya «Estestvennye i tehnicheskie nauki». – 2021. – № 1. – C. 74-78. – DOI: 10.37882/2223-2966.2021.01.11.
4. Dokumentaciya SimBiology. – URL: https://docs.exponenta.ru/simbio/index.html?s\_tid=CRUX\_lftnav (data obrascheniya: 11.03.2021).
5. gPKPDSim: a SimBiology®-based GUI application for PKPD modeling in drug development / I. Hosseini, A. Gajjala, D. Yadav, [et al.] // Journal of Pharmacokinetics and Pharmacodynamics. – 2018. – T. 45. – Pp. 259–275. –DOI: 10.1007/s10928-017-9562-9.
6. Anisimova, G.D. O primenenii MATLAB k resheniyu statisticheskih zadach / G.D. Anisimova, S.I. Evseeva // Sovremennye informacionnye tehnologii i IT-obrazovanie. – 2018. – T.14, №4. – S. 960-965. – DOI: 10.25559/SITITO.14.201804.960-965.
7. Matematicheskoe modelirovanie lecheniya onkologicheskogo zabolevaniya / A.B. Goncharova, E.P. Kolpak, M.M. Rasulova, A.V. Abramova // Vestnik Sankt-Peterburgskogo universiteta. Prikladnaya matematika. Informatika. Processy upravleniya. – 2020. – T. 16, № 4. – S. 437–446. - DOI: 10.21638/11701/spbu10.2020.408.