Simulating Water Diffusion in Tissues with an Improved Finite Difference Method
Xu J, Does M, Gore J
To conquer the two main limitations to the use of the finite difference (FD) method to the numerical study of diffusion in biological tissues; the edge effect and the long computing time, we have developed a novel hybrid discretization scheme algorithm and a tightly-coupled FD model that uses parallel computing technique. The simulated results show that our modified FD approach constrains the computing errors to a level of less than 5% for diffusion time as long as 100ms, and reduces 97.5% of the computing time. Those improvements make the FD method suitable for even long diffusion times and large-scale complex tissues.