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
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Abstract
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
| Item Type: | Conference or Workshop Item (Lecture) |
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| Uncontrolled Keywords: | Stochastic processes; Biomedical modeling; Cancer |
| Subjects: | Q Science > QA Mathematics |
| Faculty/Division: | Faculty of Industrial Sciences And Technology |
| Depositing User: | Dr. Norhayati Rosli |
| Date Deposited: | 05 Sep 2018 04:00 |
| Last Modified: | 05 Sep 2018 04:00 |
| URI: | http://umpir.ump.edu.my/id/eprint/21977 |
| Download Statistic: | View Download Statistics |
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