荧光分子断层成像正向问题的并行计算

针对荧光分子断层成像中相应于激发光和发射光的两个正向方程必须串行求解的实际情况,提出了一种可同时对两个扩散方程进行求解的并行算法。其思想是通过引入乘子矩阵对耦合方程进行解耦来实现并行计算,并利用有限元方法进行了二维数值模拟,将算法求解所得结果与基于串行方法,以Ralf B．Schulz等提出的并行算法所得到的数值模拟结果进行了综合比较。实验表明,该算法一方面适合于任何大小的斯托克斯频移条件,具有更广泛的适应性;另一方面提高了荧光分子断层成像正向问题的求解速度和精度,从而有利于整个荧光分子断层成像的快速精确求解。

Parallel Computation of Forward Problem for Fluorescent Molecular Tomography

For the forward problem of excitation photon and emission photon in the fluorescent molecular tomography,which is usually solved in the sequential manner,a parallel algorithm which can simultaneously solve two forward diffusion equations is proposed.The algorithm realizes parallel computation through introducing multiplier matrix and decoupling the coupled equations.Two-dimensional numerical simulation is presented with the finite element method.Then the algorithm proposed is compared with the sequential method and the parallel algorithm proposed by Ralf B.Schulz et al..Experimental results show that both the speed of the forward computation and precision of the forward solutions can be improved by using the proposed algorithm,which is adaptive to any Stokes shift and has more broad application.As a result,the whole process of fluorescent molecular tomography will also benefit from it.