Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii"
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Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2018, Issue 2, Pages 8–14 (Mi ulsu89)  
Simulation model of spontaneous resorption of a tumor

A. A. Butov, O. V. Verentsova

Ulyanovsk State University, Ulyanovsk, Russia
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Abstract: The paper presents a mathematical and computer model of the tumor regression process based on the queuing system with duplication of applications in queues, a form of the program that allows to build a given number of processes (trajectories) of spontaneous resorption of the tumor, to find the moments of the origin of the first tumor cell and the moments of complete regression of the tumor in each from these processes, to construct the distribution functions of these moments, as well as to find the average time of resorption of the tumor.
Keywords: queuing system, duplication of applications in queues, point process, compensator.
Received: 10.06.2018
Revised: 20.09.2018
Bibliographic databases:
Document Type: Article
UDC: 51.76+519.21
Language: Russian
Citation: A. A. Butov, O. V. Verentsova, “Simulation model of spontaneous resorption of a tumor”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2018, no. 2, 8–14
Citation in format AMSBIB
\Bibitem{ButVer18}
\by A.~A.~Butov, O.~V.~Verentsova
\paper Simulation model of spontaneous resorption of a tumor
\jour Uchenyye zapiski UlGU. Seriya ``Matematika i informatsionnyye tekhnologii''
\yr 2018
\issue 2
\pages 8--14
\mathnet{http://mi.mathnet.ru/ulsu89}
\elib{https://elibrary.ru/item.asp?id=36715266}
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