PILS: an iterative linear solver package for ill-conditioned systems
Proceedings of the 1991 ACM/IEEE conference on Supercomputing
Using MPI (2nd ed.): portable parallel programming with the message-passing interface
Using MPI (2nd ed.): portable parallel programming with the message-passing interface
Parallel simulation of compressible flow using automatic differentiation and PETSc
Parallel Computing - Special issue on parallel computing in aerospace
A parallel iterative linear solver for solving irregular grid semiconductor device matrices
Proceedings of the 1994 ACM/IEEE conference on Supercomputing
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Study of parallel numerical methods for semiconductor device simulation: Research Articles
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Numerical modelling of biopotential field for detection of breast tumour
Computers in Biology and Medicine
Algorithmic performance studies on graphics processing units
Journal of Parallel and Distributed Computing
High performance computing for the level-set reconstruction algorithm
Journal of Parallel and Distributed Computing
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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The diffusion-drift algorithm for calculating the electric signals of growing breast cancerous cells is parallelized based on the Message Passing Interface technique. The parallelized algorithm is analyzed with emphasis on the existing bottlenecks. The model involves the solution of several systems of equations to calculate the biopotentials and ion concentration gradients generated by MCF-7 cells, the most studied breast cancer cell line. The Portable, Extensible Toolkit for Scientific Computation library is investigated for the parallel solution of these systems of equations. The results show that the optimum solver for the biopotential system of equations is the Enhanced Bi-Conjugate Gradient Stabilized (L) solver. Also, it is found that the optimum pre-conditioner is the Additive Schwarz Method coupled with the drop tolerance Incomplete LU factorization. A maximum overall speed up of 15 was achieved using 56 processors with an efficiency of 27%. The electrophysiological activity of a tumor a third of a millimeter in size with just over a thousand cancerous cells is simulated. The numerical values of the biopotential could indicate to breast cancer in very early stages.