Abstract

The development of the simulation software aims at anticipating the growth of breast cancer. Based on certain numerical iterative methods, this simulation works with discretization and Partial Differential Equation (PDE). As a class of Helmholtz equations, PDE approach are known to govern the growth of this type of cancer. Considering both time and place, the Helmholtz equation’s accuracy visualizes breast cancer and its growth. This growth is of breast cancer is captured and the convergence results in sequential and parallel computing environ-ment is expressed through the numerical libraries available in the repository system. Currently, both the parallel performance measurement and Numerical analysis that involve execution time, speedup, efficiency, effectiveness and temporal performance are being investigated. The process of breast cancer visualization requires a huge memory and expensive calculations. It is observed that both the distributed memory and distributed processors of the parallel computer systems development were required in most of the studies conducted on the growth of this cancer. It is considered as an important computation platform needed to the development of parallel repository system leading to an increase in the speed and a decrease in the cost. The simulation software has several beneficial characteristics such as high performance estimation, multidimensional visualization of breast cancer and being friendly. It also provides a real time solution and strength. This soft-ware is expected to increase the level of confidence in terms of computer-aided decision making which can be reflected positively on com-prehensive breast cancer screening; breast cancer diagnosis; and clinical assessments and treatment.

Highlights

  • It has been reported the breast cancer is the second deadliest type of cancer among women

  • As for the sequential and parallel algorithms of numerical methods, they are implemented on MATLAB through the use of Distributed Computing (MDC) software assisted by distributed parallel computer platform (DPCS)

  • The current study highlights the importance of Helmholtz equation in the field of breast cancer growth in which it fully captures this type of growth

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Summary

Introduction

It has been reported the breast cancer is the second deadliest type of cancer among women. The huge memory allocation and high speed processor performance are the two main factors that determine the choice of these hardware and software in solving the large sparse matrices. Numerical analysis such as the execution time, number of iteration, computational complexity, maximum error and root means square error (RMSE) are used to graphically analyse Helmholtz equation’s visualization. The breast cancer growth repository, which contains distributed parallel simulation, is considered an innovative simulation [2]. Breast cancer growth characteristics are exploited by the parallel algorithm implementation of large sparse matrix [3]

Identification and classification cancer growth
Revealing
Pre-processing
Mathematical modeling
Numerical methods
Alternating group explicit method
Sequential algorithm
Parallel algorithm
Numerical analysis
Parallel performance evaluation
Methods
Conclusions

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