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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Bibliographic Details
Main Authors: Mazma Syahidatul Ayuni, Mazlan, Norhayati, Rosli
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2015
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/13506/7/A%20Gompertzian%20model%20with%20random%20effects%20to%20cervical%20cancer%20growth1.pdf
http://umpir.ump.edu.my/id/eprint/13506/
http://dx.doi.org/10.1063/1.4915641
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Summary: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.