Modeling the shape of red blood cell using the PDE Method (IR)

This study aims to model the shape of a normal red blood cell (RBC) and two shapes of sickle cells using the partial differential equation (PDE). The development of this technique was based on the use of an elliptic PDE and a set of four periodic boundary conditions. The PDE method can generate surf...

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Main Author: Ahmed Mayi, Jiyar Jafar
Format: thesis
Language:eng
Published: 2016
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Online Access:https://ir.upsi.edu.my/detailsg.php?det=738
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spelling oai:ir.upsi.edu.my:7382020-02-27 Modeling the shape of red blood cell using the PDE Method (IR) 2016 Ahmed Mayi, Jiyar Jafar QP Physiology This study aims to model the shape of a normal red blood cell (RBC) and two shapes of sickle cells using the partial differential equation (PDE). The development of this technique was based on the use of an elliptic PDE and a set of four periodic boundary conditions. The PDE method can generate surfaces of geometries from a small number of parameters. Furthermore, the shape of the surfaces generated by the PDE method is based on a boundary representation and can easily be modified since it is characterized by data distributed around the boundaries. In this study, the shapes of the generated PDE-based representation of a normal RBC and sickle cell has been sketched by using MATLAB program. The fmdings showed that the PDE method is suitable for representing the shape of a normal RBC and sickle cells. Besides that, the data regarding the radius and height from the normal RBC and one of the sickle cells, are then used to obtain four equations. These equations can be utilized for future prediction in designing both normal RBC and sickle cells. In conclusion, the PDE method can generate smooth parametric surface representations of any given shape of blood cells. The study implicates that the PDE method is capable of generating surfaces of complex geometries. 2016 thesis https://ir.upsi.edu.my/detailsg.php?det=738 https://ir.upsi.edu.my/detailsg.php?det=738 text eng closedAccess Masters Universiti Pendidikan Sultan Idris Fakulti Sains dan Matematik N/A
institution Universiti Pendidikan Sultan Idris
collection UPSI Digital Repository
language eng
topic QP Physiology
spellingShingle QP Physiology
Ahmed Mayi, Jiyar Jafar
Modeling the shape of red blood cell using the PDE Method (IR)
description This study aims to model the shape of a normal red blood cell (RBC) and two shapes of sickle cells using the partial differential equation (PDE). The development of this technique was based on the use of an elliptic PDE and a set of four periodic boundary conditions. The PDE method can generate surfaces of geometries from a small number of parameters. Furthermore, the shape of the surfaces generated by the PDE method is based on a boundary representation and can easily be modified since it is characterized by data distributed around the boundaries. In this study, the shapes of the generated PDE-based representation of a normal RBC and sickle cell has been sketched by using MATLAB program. The fmdings showed that the PDE method is suitable for representing the shape of a normal RBC and sickle cells. Besides that, the data regarding the radius and height from the normal RBC and one of the sickle cells, are then used to obtain four equations. These equations can be utilized for future prediction in designing both normal RBC and sickle cells. In conclusion, the PDE method can generate smooth parametric surface representations of any given shape of blood cells. The study implicates that the PDE method is capable of generating surfaces of complex geometries.
format thesis
qualification_name
qualification_level Master's degree
author Ahmed Mayi, Jiyar Jafar
author_facet Ahmed Mayi, Jiyar Jafar
author_sort Ahmed Mayi, Jiyar Jafar
title Modeling the shape of red blood cell using the PDE Method (IR)
title_short Modeling the shape of red blood cell using the PDE Method (IR)
title_full Modeling the shape of red blood cell using the PDE Method (IR)
title_fullStr Modeling the shape of red blood cell using the PDE Method (IR)
title_full_unstemmed Modeling the shape of red blood cell using the PDE Method (IR)
title_sort modeling the shape of red blood cell using the pde method (ir)
granting_institution Universiti Pendidikan Sultan Idris
granting_department Fakulti Sains dan Matematik
publishDate 2016
url https://ir.upsi.edu.my/detailsg.php?det=738
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