biophBiomedical PhotonicsBiomedical Photonics2413-9432Non-profit partnership for development of domestic photodynamic therapy and photodiagnosis10.24931/2413-9432-2019-8-4-17-27bioph-386Research ArticleОРИГИНАЛЬНЫЕ СТАТЬИORIGINAL ARTICLESАлгоритм определения оптимального числа волокон используемых при внутритканевой фотодинамической терапии рака молочной железы на основании диффузионного уравненияA diffusion equation based algorithm for determination of the optimal number of fibers used for breast cancer treatment planning in photodynamic therapyIsmaelF. S.IsmaelF. S.

Дамаск

Damascus

fatimah.esm@gmail.comAmashaH. M.AmashaH. M.

Дамаск

Damascus

BachirW. H.BachirW. H.

Дамаск

Damascus

Университет ДамаскаСирияDamascus UniversitySyrian Arab RepublicУниверситет Дамаска; Частный университет СирииСирияDamascus University; Syrian Private UniversitySyrian Arab RepublicУниверситет Дамаска; Частный университет Аль-ШамСирияDamascus University; Al-Sham Private UniversitySyrian Arab Republic201918022020841727Copyright © Ismael F.S., Amasha H.M., Bachir W.H., 20202020Ismael F.S., Amasha H.M., Bachir W.H.Ismael F.S., Amasha H.M., Bachir W.H.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.pdt-journal.com/jour/article/view/386

При планировании внутритканевой фотодинамической терапии (iPDT ) с использованием цилиндрических диффузных волокон важно обеспечить однородное распределение света по всему объему опухоли, сохранив при этом целостность окружающей ткани. Авторы данной статьи смоделировали распределение света с помощью двух алгоритмов, основанных на уравнении диффузии, в которых в качестве источников света используются цилиндрические диффузоры. Первый алгоритм анализирует уравнение диффузии и изучает влияние различных переменных (оптических свойств источника, применяемой мощности, длины диффузора и его положения). Затем были использованы параметры оптических свойств молочной железы для оценки объема, который рассчитывает световую дозу от одного диффузора. Во втором алгоритме было смоделировано несколько рассеивателей для нахожде ния соотношения между объемом и количеством рассеивателей, необходимых для покрытия кубического или цилиндрического объема достаточной световой дозой. На протяжении всего этого исследования рассматривались реальные значения оптических свойств, клинической мощности лазера и времени лечения для оценки достаточных световых доз. Это исследование согласуется с предыдущими работами в том, что оптические свойства являются основными факторами, влияющими на распределение света при iPDT. Показано, что, для однородного фантома, имитирующего рак молочной железы, кубической или цилиндрической формы, количество требуемых волокон N равно W×L или D2 , соответственно.

It is essential in interstitial Photodynamic therapy (iPDT) treatment planning to ensure a homogeneous distribution within a tumor volume using cylindrical diffusing fibers while keeping the surrounding tissue intact. Light distribution is simulated through two algorithms based on the diffusion equation assuming diffusers as light sources. The first algorithm analyzes the diffusion equation and studies the effects of different variables (optical properties, delivered power, diffuser length, and position). Next, optical properties of breast were applied to estimate the volume that receives accepted light dose from one diffuser. In the second algorithm, multiple diffusers were simulated in order to find the relation between the volume and the number of required diffusers which are needed to cover cubical or cylindrical volume with sufficient light dose. Throughout this study, real values of optical properties, clinical laser power, and treatment time were considered to evaluate sufficient light doses. This study is in agreement with previous works in that optical properties are the major factors influencing light distribution in iPDT. It is shown that for a homogeneous phantom mimicking breast cancer and cubical or cylindrical shape, the number of required fibers N equal W×L or D2 respectively.

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The authors declare that there are no conflicts of interest present.