Mathematical model of lead transfer in human body

A mathematical model of lead transfer in human body is developed by using compartmental model based on previous studies and formulated in mathematical terms to calculate and predict the level of lead in human body. The Batschelet's threecompartmental model being used in this study is adopted fr...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Yahya, Mohd. Salehuddin
التنسيق: أطروحة
اللغة:English
منشور في: 2015
الموضوعات:
الوصول للمادة أونلاين:http://eprints.utm.my/id/eprint/81587/1/MohdSallehuddinYahyaMFS2015.pdf
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spelling my-utm-ep.815872019-09-10T01:49:34Z Mathematical model of lead transfer in human body 2015 Yahya, Mohd. Salehuddin QA Mathematics A mathematical model of lead transfer in human body is developed by using compartmental model based on previous studies and formulated in mathematical terms to calculate and predict the level of lead in human body. The Batschelet's threecompartmental model being used in this study is adopted from the Rabinowitz et al. (1976). The experimental data adopted in this study is drawn from the published researches to test the mathematical model for solving the real biological system illustrated by the Batschelet's three-compartmental model and to ascertain the mathematical model fit the experimental data. Some examples of a real biological system of lead transfer in human body are studied such as the amount of lead and the equilibrium state of lead level stored in several major parts of human body. A mathematical model derived from the compartmental model which involves first-order ordinary differential equations is solved analytically by using a mathematical technique which utilize some basic concepts from the algebra of matrices. The mathematical general solution obtained is employed by using Microsoft Excel program to produce tables and plot graphs. 2015 Thesis http://eprints.utm.my/id/eprint/81587/ http://eprints.utm.my/id/eprint/81587/1/MohdSallehuddinYahyaMFS2015.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:120039 masters Universiti Teknologi Malaysia Mathematics
institution Universiti Teknologi Malaysia
collection UTM Institutional Repository
language English
topic QA Mathematics
spellingShingle QA Mathematics
Yahya, Mohd. Salehuddin
Mathematical model of lead transfer in human body
description A mathematical model of lead transfer in human body is developed by using compartmental model based on previous studies and formulated in mathematical terms to calculate and predict the level of lead in human body. The Batschelet's threecompartmental model being used in this study is adopted from the Rabinowitz et al. (1976). The experimental data adopted in this study is drawn from the published researches to test the mathematical model for solving the real biological system illustrated by the Batschelet's three-compartmental model and to ascertain the mathematical model fit the experimental data. Some examples of a real biological system of lead transfer in human body are studied such as the amount of lead and the equilibrium state of lead level stored in several major parts of human body. A mathematical model derived from the compartmental model which involves first-order ordinary differential equations is solved analytically by using a mathematical technique which utilize some basic concepts from the algebra of matrices. The mathematical general solution obtained is employed by using Microsoft Excel program to produce tables and plot graphs.
format Thesis
qualification_level Master's degree
author Yahya, Mohd. Salehuddin
author_facet Yahya, Mohd. Salehuddin
author_sort Yahya, Mohd. Salehuddin
title Mathematical model of lead transfer in human body
title_short Mathematical model of lead transfer in human body
title_full Mathematical model of lead transfer in human body
title_fullStr Mathematical model of lead transfer in human body
title_full_unstemmed Mathematical model of lead transfer in human body
title_sort mathematical model of lead transfer in human body
granting_institution Universiti Teknologi Malaysia
granting_department Mathematics
publishDate 2015
url http://eprints.utm.my/id/eprint/81587/1/MohdSallehuddinYahyaMFS2015.pdf
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