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MATHEMATICAL MODELING OF TUMOR GROWTH

https://doi.org/10.37493/2307-910X.2022.2.2

Abstract

The article is devoted to the research of mathematical model of cancer cell growth, the development of a mathematical model of the control system, the prediction of tumor development using methods of the theory of automatic control, mathematical modeling, and the qualitative theory of differential equations.

About the Authors

S. E. Dushin
Saint Petersburg Electrotechnical University LETI
Russian Federation

Dushin Sergey Evgenievich - Doctor of Technical Sciences, Professor of the Department of Automation and Control Processes.

5 Professora Popova str., Saint Petersburg, 197376, +7 (921) 970-46-31



I. I. Shpakovshaya
Saint Petersburg Electrotechnical University LETI
Russian Federation

Shpakovskaya Irina Igorevna - Junior Researcher, Assistant of the Department of Automation and Control Processes.

5 Professora Popova str., Saint Petersburg, 197376, +7 (950) 049-71-40



O. A. Grafina
Saint Petersburg Electrotechnical University LETI
Russian Federation

Grafina Olga Albertovna - student in the direction of 27.03.04 "Management in technical systems", profile "Management and informatics in technical systems" of the Department of Automation and Control Processes.

5 Professora Popova str., Saint Petersburg, 197376, +7 (952) 354-71-60



References

1. Rescigno A, De Lisi C. Immune surveillance and neoplasia II, Bull. Math. Biol, 39, 1977. P. 487-497.

2. Borovkova N. V., Aleksandrova I.V., Valetova V. V., Kobzeva E.N. Apoptoz limfocitov krovi v norme i pri patologii // Molekulyarnaya medicina, 2013. №3. S. 41-45.

3. Bazanov K.V. Issledovanie skorosti rosta recidivnyh i metastaticheskih sarkom myagkih tkanej // Sovremennye problemy nauki i obrazovaniya. 2014. № 6. S. 1227.

4. Kiselevskij M.V., CHikileva I.O., Sitdikova S.M., Vlasenko R.YA., Karaulov A.V. Perspektivy primeneniya geneticheski modificirovannyh limfocitov s himernym T-kletochnym receptorom (CAR-T-kletok) dlya terapii solidnyh opuholej // Immunologiya. 2019. T. 40, № 4. S. 48-55.

5. Byazrova M.G., Astahova E.A., Spiridonova A.B., Vasil'eva YU.V., Prilipov A.G., Filatov A.V. Stimulyaciya V-limfocitov cheloveka in vitro s pomoshch'yu IL-21/CD40L i ih harakteristika // Immunologiya. 2020. T. 41, № 6. S. 501-510.

6. Sel'vinskij V.V. Modelirovanie dinamiki processa razvitiya opuholi // Vestnik AmGU. 2020. №91. S. 9-13.

7. Eremeeva N.I. CHislennoe modelirovanie reakcii immunnoj sistemy na opuhol' na osnove utochnennoj modeli Reshin'o i De Lizi // Vestnik YUUrGU. 2016. T. 9, № 2. S. 103-109.

8. Eremeeva N.I. Obobshchenie modeli Reshin'o i De Lizi reakcii immunnoj sistemy na sluchaj mnozhestvennyh opuholej cilindricheskoj formy // Matematicheskoe modelirovanie. 2016. T. 28, №10. S. 65–79.


Review

For citations:


Dushin S.E., Shpakovshaya I.I., Grafina O.A. MATHEMATICAL MODELING OF TUMOR GROWTH. Modern Science and Innovations. 2022;(2):16-27. (In Russ.) https://doi.org/10.37493/2307-910X.2022.2.2

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ISSN 2307-910X (Print)