Gompertzian Stochastic Model with Delay Effect to Cervical Cancer Growth

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...

Full description

Bibliographic Details
Main Authors: Norhayati, Rosli, Mazma Syahidatul Ayuni, Mazlan, Arifah, Bahar
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2015
Subjects:
Q Science (General)
Online Access:http://umpir.ump.edu.my/id/eprint/8753/
http://umpir.ump.edu.my/id/eprint/8753/
http://umpir.ump.edu.my/id/eprint/8753/1/fist-2015-mazma-Gompertzian%20Stochastic-proc.pdf
id ump-8753
recordtype eprints
spelling ump-87532018-09-05T03:46:29Z http://umpir.ump.edu.my/id/eprint/8753/ Gompertzian Stochastic Model with Delay Effect to Cervical Cancer Growth Norhayati, Rosli Mazma Syahidatul Ayuni, Mazlan Arifah, Bahar Q Science (General) 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. AIP Publishing 2015 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/8753/1/fist-2015-mazma-Gompertzian%20Stochastic-proc.pdf Norhayati, Rosli and Mazma Syahidatul Ayuni, Mazlan and Arifah, Bahar (2015) Gompertzian Stochastic Model with Delay Effect to Cervical Cancer Growth. In: AIP Conference Proceeding: The 2nd ISM International Statistical Conference (ISM-II 2014), 12-14 August 2014 , MS Garden Hotel, Kuantan. pp. 570-576., 1643 (1). ISBN 978-0-7354-1281-1 https://doi.org/10.1063/1.4907496
repository_type Digital Repository
institution_category Local University
institution Universiti Malaysia Pahang
building UMP Institutional Repository
collection Online Access
language English
topic Q Science (General)
spellingShingle Q Science (General)
Norhayati, Rosli
Mazma Syahidatul Ayuni, Mazlan
Arifah, Bahar
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 Norhayati, Rosli
Mazma Syahidatul Ayuni, Mazlan
Arifah, Bahar
author_facet Norhayati, Rosli
Mazma Syahidatul Ayuni, Mazlan
Arifah, Bahar
author_sort Norhayati, Rosli
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
publisher AIP Publishing
publishDate 2015
url http://umpir.ump.edu.my/id/eprint/8753/
http://umpir.ump.edu.my/id/eprint/8753/
http://umpir.ump.edu.my/id/eprint/8753/1/fist-2015-mazma-Gompertzian%20Stochastic-proc.pdf
first_indexed 2023-09-18T22:06:40Z
last_indexed 2023-09-18T22:06:40Z
_version_ 1777414753820344320

Similar Items