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Gompertzian stochastic model with delay effect to cervical cancer growth

In this paper, a Gompertzian stochastic model with time delay is introduced to describe the cervical cancer growth. The parameters values of the mathematical model are estimated via Levenberg-Marquardt optimization method of non-linear least squares. We apply Milstein scheme for solving the stochast...

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主要な著者: Mazlan, Mazma Syahidatul Ayuni, Rosli, Norhayati, Bahar, Arifah
フォーマット: Conference or Workshop Item
出版事項: 2015
主題:
QA Mathematics
オンライン･アクセス:http://eprints.utm.my/id/eprint/59291/
http://dx.doi.org/10.1063/1.4907496
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spelling my.utm.592912021-09-12T07:26:57Z http://eprints.utm.my/id/eprint/59291/ Gompertzian stochastic model with delay effect to cervical cancer growth Mazlan, Mazma Syahidatul Ayuni Rosli, Norhayati Bahar, Arifah QA Mathematics In this paper, a Gompertzian stochastic model with time delay is introduced to describe the cervical cancer growth. The parameters values of the mathematical model are estimated via Levenberg-Marquardt optimization method of non-linear least squares. We apply Milstein scheme for solving the stochastic model numerically. The efficiency of mathematical model is measured by comparing the simulated result and the clinical data of cervical cancer growth. Low values of Mean-Square Error (MSE) of Gompertzian stochastic model with delay effect indicate good fits. 2015 Conference or Workshop Item PeerReviewed Mazlan, Mazma Syahidatul Ayuni and Rosli, Norhayati and Bahar, Arifah (2015) Gompertzian stochastic model with delay effect to cervical cancer growth. In: 2nd ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, ISM 2014, 12-14 Aug 2014, Kuantan, Pahang. http://dx.doi.org/10.1063/1.4907496
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Mazlan, Mazma Syahidatul Ayuni
Rosli, Norhayati
Bahar, Arifah
Gompertzian stochastic model with delay effect to cervical cancer growth
description In this paper, a Gompertzian stochastic model with time delay is introduced to describe the cervical cancer growth. The parameters values of the mathematical model are estimated via Levenberg-Marquardt optimization method of non-linear least squares. We apply Milstein scheme for solving the stochastic model numerically. The efficiency of mathematical model is measured by comparing the simulated result and the clinical data of cervical cancer growth. Low values of Mean-Square Error (MSE) of Gompertzian stochastic model with delay effect indicate good fits.
format Conference or Workshop Item
author Mazlan, Mazma Syahidatul Ayuni
Rosli, Norhayati
Bahar, Arifah
author_facet Mazlan, Mazma Syahidatul Ayuni
Rosli, Norhayati
Bahar, Arifah
author_sort Mazlan, Mazma Syahidatul Ayuni
title Gompertzian stochastic model with delay effect to cervical cancer growth
title_short Gompertzian stochastic model with delay effect to cervical cancer growth
title_full Gompertzian stochastic model with delay effect to cervical cancer growth
title_fullStr Gompertzian stochastic model with delay effect to cervical cancer growth
title_full_unstemmed Gompertzian stochastic model with delay effect to cervical cancer growth
title_sort gompertzian stochastic model with delay effect to cervical cancer growth
publishDate 2015
url http://eprints.utm.my/id/eprint/59291/
http://dx.doi.org/10.1063/1.4907496
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