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Title: A Gompertzian model with random effects to cervical cancer growth

Abstract

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.

Authors:
;  [1]
  1. Faculty of Industrial Sciences and Technology, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Pahang (Malaysia)
Publication Date:
OSTI Identifier:
22391650
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1660; Journal Issue: 1; Conference: ICoMEIA 2014: International Conference on Mathematics, Engineering and Industrial Applications 2014, Penang (Malaysia), 28-30 May 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; EFFICIENCY; ERRORS; MATHEMATICAL MODELS; NEOPLASMS; RANDOMNESS; STOCHASTIC PROCESSES

Citation Formats

Mazlan, Mazma Syahidatul Ayuni, and Rosli, Norhayati. A Gompertzian model with random effects to cervical cancer growth. United States: N. p., 2015. Web. doi:10.1063/1.4915641.
Mazlan, Mazma Syahidatul Ayuni, & Rosli, Norhayati. A Gompertzian model with random effects to cervical cancer growth. United States. doi:10.1063/1.4915641.
Mazlan, Mazma Syahidatul Ayuni, and Rosli, Norhayati. Fri . "A Gompertzian model with random effects to cervical cancer growth". United States. doi:10.1063/1.4915641.
@article{osti_22391650,
title = {A Gompertzian model with random effects to cervical cancer growth},
author = {Mazlan, Mazma Syahidatul Ayuni and Rosli, Norhayati},
abstractNote = {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.},
doi = {10.1063/1.4915641},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1660,
place = {United States},
year = {2015},
month = {5}
}