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Monte Carlo simulation of radiation transfer in human skin with geometrically correct treatment of boundaries between different tissues

机译:在几何上正确处理不同组织之间的边界的蒙特卡洛模拟法模拟人皮肤中的辐射传输

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In customary implementation of three-dimensional (3D) Monte Carlo (MC) numerical mode! of light transport in heterogeneous biological structures, the volume of interest is divided into voxels by a rectangular spatial grid. Each voxel is assumed to have homogeneous optical properties and curved boundaries between neighboring tissues inevitably become serrated. This raises some concerns over realism of the modeling results, especially with regard to reflection and refraction on such boundaries. In order to investigate the above concern, we have implemented an augmented 3D MC code, where tissue boundaries (e.g., blood vessel walls) are defined by analytical functions and thus maintain their shape regardless of grid discretization. Results of the customary and augmented model are compared for a few characteristic test geometries, mimicking a cutaneous blood vessel irradiated with a 532 nm laser beam of finite diameter. Our analysis shows that at specific locations inside the vessel, the amount of deposited laser energy can vary between the two models by up to 10%. Even physically relevant integral quantities, such as linear density of the energy absorbed by the vessel, can differ by as much as 30%. Moreover, the values obtained with the customary model vary strongly with discretization step and don't disappear with ever finer discretization. Meanwhile, our augmented model shows no such behavior, indicating that the customary approach suffers from inherent inaccuracies arising from physically flawed treatment of tissue boundaries.
机译:在三维(3D)蒙特卡洛(MC)数值模式的常规实现中!对于异质生物结构中的光传输,感兴趣的体积被矩形空间网格划分为体素。假定每个体素具有均一的光学特性,并且相邻组织之间的弯曲边界不可避免地变得锯齿状。这引起了对建模结果的真实性的一些担忧,尤其是在这种边界上的反射和折射方面。为了调查以上问题,我们实施了增强型3D MC代码,其中组织边界(例如血管壁)由分析功能定义,因此无论网格离散如何,都可以保持其形状。比较了常规模型和增强模型的结果,模拟了几种特征测试几何形状,它们模拟了用直径为532 nm的激光束照射的皮肤血管。我们的分析表明,在容器内部的特定位置,两种模型之间沉积的激光能量的数量最多可以相差10%。即使是物理上相关的整数,例如容器吸收的能量的线性密度,也可能相差多达30%。而且,通过常规模型获得的值随离散化步骤的不同而有很大差异,并且不会随着更精细的离散化而消失。同时,我们的增强模型没有显示这种行为,这表明常规方法会遭受由于对组织边界的物理缺陷处理而引起的固有误差。

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