Arridge S R, Hiraoka M, Schweiger M
Department of Computer Science, University College London, UK.
Phys Med Biol. 1995 Sep;40(9):1539-58. doi: 10.1088/0031-9155/40/9/011.
In this paper we show how to derive the mean and variance of the transilluminated signal obtained in models of light propagation in tissue, based both on a stochastic Monte Carlo method and on a deterministic diffusion approximation. The theoretical treatment of the Monte Carlo model applies only to integrated intensity measurements, whereas the diffusion approximation gives an estimator for the time-dependent case as well. We present results that show the accurate prediction of Monte Carlo statistics, and propose that the diffusion approximation is therefore a suitable mechanism for incorporating noise into modelling procedures.
在本文中，我们展示了如何基于随机蒙特卡罗方法和确定性扩散近似，推导在组织光传播模型中获得的透照信号的均值和方差。蒙特卡罗模型的理论处理仅适用于积分强度测量，而扩散近似也给出了时间相关情况的估计器。我们给出的结果显示了蒙特卡罗统计的准确预测，并提出扩散近似因此是将噪声纳入建模过程的合适机制。
