Stochastic Gompertzian model for breast cancer growth process
In this paper, a stochastic Gompertzian model is developed to describe the growth process of a breast cancer by incorporating the noisy behavior into a deterministic Gompertzian model. The prediction quality of the stochastic Gompertzian model is measured by comparing the simulated result with the c...
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2017
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| Online Access: | http://umpir.ump.edu.my/id/eprint/21977/1/Stochastic%20Gompertzian%20model%20for%20breast%20cancer%20growth%20process1.pdf |
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| author | Mazma Syahidatul Ayuni, Mazlan Norhayati, Rosli |
| author_facet | Mazma Syahidatul Ayuni, Mazlan Norhayati, Rosli |
| author_sort | Mazma Syahidatul Ayuni, Mazlan |
| collection | UMP |
| description | In this paper, a stochastic Gompertzian model is developed to describe the growth process of a breast cancer by incorporating the noisy behavior into a deterministic Gompertzian model. The prediction quality of the stochastic Gompertzian model is measured by comparing the simulated result with the clinical data of breast cancer growth. The kinetic parameters of the model are estimated via maximum likelihood procedure. 4-stage stochastic Runge-Kutta (SRK4) is used to simulate the sample path of the model. Low values of mean-square error (MSE) of stochastic model indicate good fits. It is shown that the stochastic Gompertzian model is adequate in explaining the breast cancer growth process compared to the deterministic model counterpart |
| first_indexed | 2024-03-06T12:25:52Z |
| format | Conference or Workshop Item |
| id | UMPir21977 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:25:52Z |
| publishDate | 2017 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | UMPir219772018-09-05T04:00:31Z http://umpir.ump.edu.my/id/eprint/21977/ Stochastic Gompertzian model for breast cancer growth process Mazma Syahidatul Ayuni, Mazlan Norhayati, Rosli QA Mathematics In this paper, a stochastic Gompertzian model is developed to describe the growth process of a breast cancer by incorporating the noisy behavior into a deterministic Gompertzian model. The prediction quality of the stochastic Gompertzian model is measured by comparing the simulated result with the clinical data of breast cancer growth. The kinetic parameters of the model are estimated via maximum likelihood procedure. 4-stage stochastic Runge-Kutta (SRK4) is used to simulate the sample path of the model. Low values of mean-square error (MSE) of stochastic model indicate good fits. It is shown that the stochastic Gompertzian model is adequate in explaining the breast cancer growth process compared to the deterministic model counterpart AIP Publishing 2017 Conference or Workshop Item PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/21977/1/Stochastic%20Gompertzian%20model%20for%20breast%20cancer%20growth%20process1.pdf Mazma Syahidatul Ayuni, Mazlan and Norhayati, Rosli (2017) Stochastic Gompertzian model for breast cancer growth process. In: AIP Conference Proceedings: The 3rd ISM International Statistical Conference 2016 (ISM-III) , 9-11 August 2016 , Kuala Lumpur, Malaysia. pp. 1-7., 1842 (030013). ISSN 0094-243X ISBN 978-0-7354-1512-6 (Published) http://dx.doi.org/10.1063/1.4982851 |
| spellingShingle | QA Mathematics Mazma Syahidatul Ayuni, Mazlan Norhayati, Rosli Stochastic Gompertzian model for breast cancer growth process |
| title | Stochastic Gompertzian model for breast cancer growth process |
| title_full | Stochastic Gompertzian model for breast cancer growth process |
| title_fullStr | Stochastic Gompertzian model for breast cancer growth process |
| title_full_unstemmed | Stochastic Gompertzian model for breast cancer growth process |
| title_short | Stochastic Gompertzian model for breast cancer growth process |
| title_sort | stochastic gompertzian model for breast cancer growth process |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/21977/1/Stochastic%20Gompertzian%20model%20for%20breast%20cancer%20growth%20process1.pdf |
| work_keys_str_mv | AT mazmasyahidatulayunimazlan stochasticgompertzianmodelforbreastcancergrowthprocess AT norhayatirosli stochasticgompertzianmodelforbreastcancergrowthprocess |