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...

Full description

Bibliographic Details
Main Authors: Norhayati, Rosli, Mazma Syahidatul Ayuni, Mazlan, Arifah, Bahar
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2015
Subjects:
Online Access: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
Description
Summary: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.