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Computer Optics, 2020, Volume 44, Issue 5, Pages 809–820
DOI: https://doi.org/10.18287/2412-6179-CO-760
(Mi co851)
 

This article is cited in 6 scientific papers (total in 6 papers)

NUMERICAL METHODS AND DATA ANALYSIS

Methods of mathematical modeling of fundus laser exposure for therapeutic effect evaluation

A. S. Shirokanevab, A. S. Kibitkinaa, N. Yu. Ilyasovaba, A. A. Degtyaryova

a Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34
b IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Samara, Russia, Molodogvardeyskaya 151
References:
Abstract: When laser coagulation of eye retina is carried out, the laser beam is directed to target retinal areas selected by an ophthalmologist. The exposure to laser light produces a photocoagulate. When using laser coagulation, the main problem is selecting both the laser exposure areas that would cover all pathological zones and the laser exposure parameters to prevent retina damage. Any patient has an individual fundus structure. The individual structure of pathological and anatomical elements must be taken into account to achieve the desired therapeutic effect.
The formation of coagulates in all hemorrhage-affected areas results in the desired therapeutic effect. The vascular layer must be heated to a sufficient temperature to form a coagulate. Such an effect can be predicted using mathematical modeling of laser exposure.
In this paper, we consider methods of mathematical modeling of laser exposure based on the solution of a heat equation. The methods are compared in terms of their computational complexity and solution stability. An analysis of the possibility of predicting the therapeutic effect using methods of mathematical modeling of laser exposure is carried out.
Keywords: diabetic retinopathy, laser coagulation, therapeutic effect, mathematical modeling, heat equation, initial and boundary conditions.
Funding agency Grant number
Russian Foundation for Basic Research 19-31-90160 à
19-29-01135 à
Ministry of Science and Higher Education of the Russian Federation
This work was funded by the Russian Foundation for Basic Research under RFBR projects ##19-31-90160, 19-29-01135 and the Ministry of Science and Higher Education of the Russian Federation within a State assignment to Samara University and the FSRC “Crystallography and Photonics” RAS.
Received: 25.06.2020
Accepted: 08.07.2020
Document Type: Article
Language: Russian
Citation: A. S. Shirokanev, A. S. Kibitkina, N. Yu. Ilyasova, A. A. Degtyaryov, “Methods of mathematical modeling of fundus laser exposure for therapeutic effect evaluation”, Computer Optics, 44:5 (2020), 809–820
Citation in format AMSBIB
\Bibitem{ShiKibIly20}
\by A.~S.~Shirokanev, A.~S.~Kibitkina, N.~Yu.~Ilyasova, A.~A.~Degtyaryov
\paper Methods of mathematical modeling of fundus laser exposure for therapeutic effect evaluation
\jour Computer Optics
\yr 2020
\vol 44
\issue 5
\pages 809--820
\mathnet{http://mi.mathnet.ru/co851}
\crossref{https://doi.org/10.18287/2412-6179-CO-760}
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  • https://www.mathnet.ru/eng/co851
  • https://www.mathnet.ru/eng/co/v44/i5/p809
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Computer Optics
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