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Implementation of finite difference method for detecting brain tumor growth

Master of Science in Engineering Mathematics

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Bibliographic Details
Main Author: Nur Syazwani, Mohd Nasir
Other Authors: Nursalasawati, Rusli, Dr.
Format: Dissertation
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2017
Subjects:
Finite differences
Tumors > Growth
Cancer
Brain
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/76680
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spelling my.unimap-766802022-11-02T01:47:18Z Implementation of finite difference method for detecting brain tumor growth Nur Syazwani, Mohd Nasir Nursalasawati, Rusli, Dr. Finite differences Tumors -- Growth Cancer Brain Master of Science in Engineering Mathematics Brain tumor growth is one of the dangerous cancers in the world that cause death. In order to help people to be aware about brain tumor, detection of tumor growth has been done. It can also prevent the disease to become worst. Gliomas are the most common primary brain tumor. It is a disparate group of primary brain tumor and has the ability of penetrating diffusely throughout the brain. One dimensional reaction diffusion equation has been used to detect the brain tumor growth. The simulation of numerical modeling was conducted to detect the tumor growth. In order to solve reaction diffusion equation, the discretization processes have been done using explicit methods. A diffusion equation is used to validate these methods. After validation process, numerical algorithms are developed in MATLAB software to solve one dimensional reaction diffusion equation for brain tumor growth. For the purpose of the simulation, the boundary condition and initial conditions, the spatial steps and time steps are determined. This problem has been solved using explicit method for two difference problems. The finite difference approximations using explicit methods are presented graphically. The simulation results of one dimensional reaction diffusion equation successfully detect the behaviour of the brain tumor growth which considered the grey and white matter. 2017 2022-11-02T01:47:18Z 2022-11-02T01:47:18Z Dissertation http://dspace.unimap.edu.my:80/xmlui/handle/123456789/76680 en Universiti Malaysia Perlis (UniMAP) Universiti Malaysia Perlis (UniMAP) Institute of Engineering Mathematics
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Finite differences
Tumors -- Growth
Cancer
Brain
spellingShingle Finite differences
Tumors -- Growth
Cancer
Brain
Nur Syazwani, Mohd Nasir
Implementation of finite difference method for detecting brain tumor growth
description Master of Science in Engineering Mathematics
author2 Nursalasawati, Rusli, Dr.
author_facet Nursalasawati, Rusli, Dr.
Nur Syazwani, Mohd Nasir
format Dissertation
author Nur Syazwani, Mohd Nasir
author_sort Nur Syazwani, Mohd Nasir
title Implementation of finite difference method for detecting brain tumor growth
title_short Implementation of finite difference method for detecting brain tumor growth
title_full Implementation of finite difference method for detecting brain tumor growth
title_fullStr Implementation of finite difference method for detecting brain tumor growth
title_full_unstemmed Implementation of finite difference method for detecting brain tumor growth
title_sort implementation of finite difference method for detecting brain tumor growth
publisher Universiti Malaysia Perlis (UniMAP)
publishDate 2017
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/76680
_version_ 1751537957478596608
score 13.211869

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