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Modelling the Cervical Cancer Growth Process by Stochastic Delay Differential Equations

Mazma Syahidatul Ayuni, Mazlan and Norhayati, Rosli and Nina Suhaity, Azmi and Arifah, Bahar (2015) Modelling the Cervical Cancer Growth Process by Stochastic Delay Differential Equations. Sains Malaysiana, 44 (8). pp. 1153-1157. ISSN 0126-6039

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Abstract

In this paper, the uncontrolled environmental factors are perturbed into the growth rate deceleration factor of the Gompertzian deterministic model. The growth process under Gompertz’s law is considered, thus lead to stochastic differential equations of Gompertzian with time delay. The Gompertzian deterministic model has proven to fit well with the clinical data of cancerous growth, however the performance of stochastic model towards clinical data is yet to be confirmed. The prediction quality of stochastic model is evaluated by comparing the simulated results with the clinical data of cervical cancer growth. The parameter estimation of stochastic models is computed by using simulated maximum likelihood method. 4-stage stochastic Runge-Kutta is applied to simulate the solution of stochastic model. Low values of root mean-square error (RMSE) of Gompertzian model with random effect indicate good fits.

Item Type: Article
Uncontrolled Keywords: Gompertzian model; simulated maximum likelihood; stochastic delay differential equation; 4-stage stochastic Runge Kutta
Subjects: Q Science > QA Mathematics
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Dr. Norhayati Rosli
Date Deposited: 07 Apr 2016 01:39
Last Modified: 25 Jan 2018 02:30
URI: http://umpir.ump.edu.my/id/eprint/12712
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