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Combined Monte Carlo and Path-Integral Method for Simulated Library of Time-Resolved Reflectance Curves from Layered Tissue Models

机译:蒙特卡罗和路径积分相结合的方法从分层组织模型中模拟时间分辨反射曲线库

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摘要

Monte Carlo (MC) simulations are considered the "gold standard" for mathematical description of photon transport in tissue, but they can require large computation times. Therefore, it is important to develop simple and efficient methods for accelerating MC simulations, especially when a large "library" of related simulations is needed. A semi-analytical method involving MC simulations and a path-integral (PI) based scaling technique generated time-resolved reflectance curves from layered tissue models. First, a zero-absorption MC simulation was run for a tissue model with fixed scattering properties in each layer. Then, a closed-form expression for the average classical path of a photon in tissue was used to determine the percentage of time that the photon spent in each layer, to create a weighted Beer-Lambert factor to scale the time-resolved reflectance of the simulated zero-absorption tissue model. This method is a unique alternative to other scaling techniques in that it does not require the path length or number of collisions of each photon to be stored during the initial simulation. Effects of various layer thicknesses and absorption and scattering coefficients on the accuracy of the method will be discussed.
机译:蒙特卡洛(MC)模拟被认为是对组织中光子传输进行数学描述的“金标准”,但是它们可能需要大量的计算时间。因此,开发简单有效的方法来加速MC仿真非常重要,尤其是在需要大型“仿真库”相关仿真时。涉及MC模拟和基于路径积分(PI)的缩放技术的半分析方法从分层组织模型生成时间分辨的反射率曲线。首先,对在每一层中具有固定散射特性的组织模型进行零吸收MC模拟。然后,使用组织中光子的平均经典路径的封闭形式表达式来确定光子在每一层中所花费的时间百分比,以创建加权的Beer-Lambert因子,以缩放光子在时间上的反射率。模拟零吸收组织模型。该方法是其他缩放技术的独特替代方法,因为它不需要在初始模拟过程中存储每个光子的路径长度或碰撞次数。将讨论各种层厚度以及吸收和散射系数对方法精度的影响。

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