Finite difference methods for solving the transport equation in the problems of optical biomedical diagnostics

Autor: Leonid P. Bass, Olga V. Nikolaeva, Alexander V. Bykov, Mikhail Yu. Kirillin
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Journal of Biomedical Photonics & Engineering, Vol 3, Iss 1 (2017)
Druh dokumentu: article
ISSN: 2411-2844
DOI: 10.18287/JBPE17.03.010311
Popis: The present paper is a retrospective review of the development of the approach to numerical modeling of radiation propagation in biological tissues, based on the use of finite difference methods for the solution of the radiative transfer equation (RTE) and its application to the problems of biomedical diagnostics. The advantage of finite difference methods is the possibility to obtain the solution of the direct problem of radiation propagation in turbid media, when the exact analytical solution is impossible. In turn, the possibility to solve the RTE opens wide perspectives for the solution of inverse problem and reconstruction of structural and functional characteristics of objects from the detected scattered radiation. We present a review of the finite difference methods applied to the solution of angiography problems and investigation of blood using optical biomedical diagnostic technologies.
Databáze: Directory of Open Access Journals