MPI-implementation of PFI-code for numerical modeling of the anatomy of breast cancer

Abstract

Large-scale parallelized distributed computing has been implemented in the message passing interface (MPI) environment to solve numerically, eight reaction-diffusion equations representing the anatomy and treatment of breast cancer. The numerical algorithm is perturbed functional iterations (PFI) which is completely matrix-free. Fully distributed computations with multiple processors have been implemented on a large scale in the serial PFI-code in the MPI environment. The technique of implementation is general and can be applied to any serial code. This has been validated by comparing the computed results from the serial code and those from the MPI-version of the parallel code.

Keywords:

• Parallel algorithm
• Parallel programming
• Message passing interface

Acknowledgement

This research has been funded by RIACS of NASA-Ames Research Center, Moffett Field, California, USRA and NASA Cooperative Agreement NCC2-1006.