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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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2015
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/8753/ http://umpir.ump.edu.my/id/eprint/8753/1/fist-2015-mazma-Gompertzian%20Stochastic-proc.pdf |
| _version_ | 1848818322865389568 |
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| author | Norhayati, Rosli Mazma Syahidatul Ayuni, Mazlan Arifah, Bahar |
| author_facet | Norhayati, Rosli Mazma Syahidatul Ayuni, Mazlan Arifah, Bahar |
| author_sort | Norhayati, Rosli |
| building | UMP Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T01:35:50Z |
| format | Conference or Workshop Item |
| id | ump-8753 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T01:35:50Z |
| publishDate | 2015 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 (Published) https://doi.org/10.1063/1.4907496 |
| spellingShingle | Q Science (General) Norhayati, Rosli Mazma Syahidatul Ayuni, Mazlan Arifah, Bahar Gompertzian Stochastic Model with Delay Effect to Cervical Cancer Growth |
| title | 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_short | Gompertzian Stochastic Model with Delay Effect to Cervical Cancer Growth |
| title_sort | gompertzian stochastic model with delay effect to cervical cancer growth |
| topic | Q Science (General) |
| 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 |