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JOURNALS // Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii" // Archive

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

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.

UDC: 51.76+519.21

Received: 10.06.2018
Revised: 20.09.2018



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