Mathematical modeling of thermophysical processes in the wall of the Baker cyst, when intra-cystic fluid is heated by laser radiation 1.47 m in length

The work is devoted to the study of the theoretical value of destructive influence on normal tissues of an organism by infrared radiation that goes beyond the treated pathological focus. This situation is possible if the direct laser radiation on the tissues is extremely long-acting. The solution to...

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Main Authors: Sergey Aleksandrovich Chernyadiev, Andrey Viktorovich Zhilyakov, Vladimir Ivanovich Gorbatov, Natalia Yuryevna Korobova, Nadezhda Ivanovna Sivkova, Alexander Vitalievich Aretinsky, Alexandr Ivanovich Chernookov
Format: Article
Language:Russian
Published: Institute of Computer Science 2018-02-01
Series:Компьютерные исследования и моделирование
Subjects:
Online Access:http://crm.ics.org.ru/uploads/crmissues/crm_2018_1/2018_01_08.pdf
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author Sergey Aleksandrovich Chernyadiev
Andrey Viktorovich Zhilyakov
Vladimir Ivanovich Gorbatov
Natalia Yuryevna Korobova
Nadezhda Ivanovna Sivkova
Alexander Vitalievich Aretinsky
Alexandr Ivanovich Chernookov
author_facet Sergey Aleksandrovich Chernyadiev
Andrey Viktorovich Zhilyakov
Vladimir Ivanovich Gorbatov
Natalia Yuryevna Korobova
Nadezhda Ivanovna Sivkova
Alexander Vitalievich Aretinsky
Alexandr Ivanovich Chernookov
author_sort Sergey Aleksandrovich Chernyadiev
collection DOAJ
description The work is devoted to the study of the theoretical value of destructive influence on normal tissues of an organism by infrared radiation that goes beyond the treated pathological focus. This situation is possible if the direct laser radiation on the tissues is extremely long-acting. The solution to this problem can be the uniform distribution of heat inside the volume through indirect heating of the liquid, which contributes to minimal damage to the perifocal structures. A non-stationary thermophysical model of the process of heat propagation in biological tissues is presented, allowing to carry out studies of energy transfer from internal liquid contents of Baker's cyst heated by infrared laser radiation of a given specific power through a certain thickness of its wall to surrounding biological tissues. Calculation of the spacetime temperature distribution in the cyst wall and surrounding fat tissue is carried out by the finite-difference method. The time of effective exposure to temperature on the entire thickness of the cyst wall was estimated to be 55 ° C on its outer surface. The safety procedure ensures the exposure duration of this value is not more than 10 seconds. As a result of the calculations carried out, it is established that there are several operating modes of a surgical laser that meet all the safety requirements with a simultaneous effective procedure. Local one-sided hyperthermia of the synovial membrane and subsequent coagulation of the entire wall thickness due to heat transfer contributes to the elimination of the cavity neoplasm of the popliteal region. With a thickness of 3 mm, the heating mode is satisfactory, under which the exposure time lasts about 200 seconds, and the specific power of the laser radiation in the internal medium of the liquid contents of the Baker cyst is approximately 1.
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spelling doaj.art-70959486a58f4caea09c6b530665db8f2022-12-21T17:13:27ZrusInstitute of Computer ScienceКомпьютерные исследования и моделирование2076-76332077-68532018-02-0110110311210.20537/2076-7633-2018-10-1-103-1122659Mathematical modeling of thermophysical processes in the wall of the Baker cyst, when intra-cystic fluid is heated by laser radiation 1.47 m in lengthSergey Aleksandrovich ChernyadievAndrey Viktorovich ZhilyakovVladimir Ivanovich GorbatovNatalia Yuryevna KorobovaNadezhda Ivanovna SivkovaAlexander Vitalievich AretinskyAlexandr Ivanovich ChernookovThe work is devoted to the study of the theoretical value of destructive influence on normal tissues of an organism by infrared radiation that goes beyond the treated pathological focus. This situation is possible if the direct laser radiation on the tissues is extremely long-acting. The solution to this problem can be the uniform distribution of heat inside the volume through indirect heating of the liquid, which contributes to minimal damage to the perifocal structures. A non-stationary thermophysical model of the process of heat propagation in biological tissues is presented, allowing to carry out studies of energy transfer from internal liquid contents of Baker's cyst heated by infrared laser radiation of a given specific power through a certain thickness of its wall to surrounding biological tissues. Calculation of the spacetime temperature distribution in the cyst wall and surrounding fat tissue is carried out by the finite-difference method. The time of effective exposure to temperature on the entire thickness of the cyst wall was estimated to be 55 ° C on its outer surface. The safety procedure ensures the exposure duration of this value is not more than 10 seconds. As a result of the calculations carried out, it is established that there are several operating modes of a surgical laser that meet all the safety requirements with a simultaneous effective procedure. Local one-sided hyperthermia of the synovial membrane and subsequent coagulation of the entire wall thickness due to heat transfer contributes to the elimination of the cavity neoplasm of the popliteal region. With a thickness of 3 mm, the heating mode is satisfactory, under which the exposure time lasts about 200 seconds, and the specific power of the laser radiation in the internal medium of the liquid contents of the Baker cyst is approximately 1.http://crm.ics.org.ru/uploads/crmissues/crm_2018_1/2018_01_08.pdfmathematical analogybiological tissueheat transferheat capacityBaker's cystprocess modelingthermocoagulation
spellingShingle Sergey Aleksandrovich Chernyadiev
Andrey Viktorovich Zhilyakov
Vladimir Ivanovich Gorbatov
Natalia Yuryevna Korobova
Nadezhda Ivanovna Sivkova
Alexander Vitalievich Aretinsky
Alexandr Ivanovich Chernookov
Mathematical modeling of thermophysical processes in the wall of the Baker cyst, when intra-cystic fluid is heated by laser radiation 1.47 m in length
Компьютерные исследования и моделирование
mathematical analogy
biological tissue
heat transfer
heat capacity
Baker's cyst
process modeling
thermocoagulation
title Mathematical modeling of thermophysical processes in the wall of the Baker cyst, when intra-cystic fluid is heated by laser radiation 1.47 m in length
title_full Mathematical modeling of thermophysical processes in the wall of the Baker cyst, when intra-cystic fluid is heated by laser radiation 1.47 m in length
title_fullStr Mathematical modeling of thermophysical processes in the wall of the Baker cyst, when intra-cystic fluid is heated by laser radiation 1.47 m in length
title_full_unstemmed Mathematical modeling of thermophysical processes in the wall of the Baker cyst, when intra-cystic fluid is heated by laser radiation 1.47 m in length
title_short Mathematical modeling of thermophysical processes in the wall of the Baker cyst, when intra-cystic fluid is heated by laser radiation 1.47 m in length
title_sort mathematical modeling of thermophysical processes in the wall of the baker cyst when intra cystic fluid is heated by laser radiation 1 47 m in length
topic mathematical analogy
biological tissue
heat transfer
heat capacity
Baker's cyst
process modeling
thermocoagulation
url http://crm.ics.org.ru/uploads/crmissues/crm_2018_1/2018_01_08.pdf
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