A Gompertzian Model With Random Effects To Cervical Cancer Growth
In this paper, a Gompertzian model with random effects is introduced to describe the cervical cancer growth. The parameters values of the mathematical model are estimated via maximum likehood estimation. We apply 4-stage Runge- Kutta (SRK4) for solving the stochastic model numerically. The efficie...
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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/13506/ http://umpir.ump.edu.my/id/eprint/13506/7/A%20Gompertzian%20model%20with%20random%20effects%20to%20cervical%20cancer%20growth1.pdf |
| _version_ | 1848819489741733888 |
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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 |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | In this paper, a Gompertzian model with random effects is introduced to describe the cervical cancer growth. The
parameters values of the mathematical model are estimated via maximum likehood estimation. We apply 4-stage Runge-
Kutta (SRK4) for solving the stochastic model numerically. The efficiency of mathematical model is measured by comparing
the simulated result and the clinical data of the cervical cancer growth. Low values of root mean-square error (RMSE) of
Gompertzian model with random effect indicate good fits. |
| first_indexed | 2025-11-15T01:54:22Z |
| format | Conference or Workshop Item |
| id | ump-13506 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T01:54:22Z |
| publishDate | 2015 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-135062018-09-05T04:22:48Z http://umpir.ump.edu.my/id/eprint/13506/ A Gompertzian Model With Random Effects To Cervical Cancer Growth Mazma Syahidatul Ayuni, Mazlan Norhayati, Rosli Q Science (General) QA Mathematics In this paper, a Gompertzian model with random effects is introduced to describe the cervical cancer growth. The parameters values of the mathematical model are estimated via maximum likehood estimation. We apply 4-stage Runge- Kutta (SRK4) for solving the stochastic model numerically. The efficiency of mathematical model is measured by comparing the simulated result and the clinical data of the cervical cancer growth. Low values of root mean-square error (RMSE) of Gompertzian model with random effect indicate good fits. AIP Publishing 2015 Conference or Workshop Item PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/13506/7/A%20Gompertzian%20model%20with%20random%20effects%20to%20cervical%20cancer%20growth1.pdf Mazma Syahidatul Ayuni, Mazlan and Norhayati, Rosli (2015) A Gompertzian Model With Random Effects To Cervical Cancer Growth. In: AIP Conference Proceedings: International Conference on Mathematics, Engineering and Industrial Applications (ICoMEIA 2014) , 28-30 May 2014 , Penang, Malaysia. pp. 1-7., 1660 (050008). ISSN 0094-243X ISBN 978-0-7354-1304-7 (Published) http://dx.doi.org/10.1063/1.4915641 |
| spellingShingle | Q Science (General) QA Mathematics Mazma Syahidatul Ayuni, Mazlan Norhayati, Rosli A Gompertzian Model With Random Effects To Cervical Cancer Growth |
| title | A Gompertzian Model With Random Effects To Cervical Cancer Growth |
| title_full | A Gompertzian Model With Random Effects To Cervical Cancer Growth |
| title_fullStr | A Gompertzian Model With Random Effects To Cervical Cancer Growth |
| title_full_unstemmed | A Gompertzian Model With Random Effects To Cervical Cancer Growth |
| title_short | A Gompertzian Model With Random Effects To Cervical Cancer Growth |
| title_sort | gompertzian model with random effects to cervical cancer growth |
| topic | Q Science (General) QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/13506/ http://umpir.ump.edu.my/id/eprint/13506/ http://umpir.ump.edu.my/id/eprint/13506/7/A%20Gompertzian%20model%20with%20random%20effects%20to%20cervical%20cancer%20growth1.pdf |