A Gompertzian model with random effects to cervical cancer growth

Journal Article · Fri May 15 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4915641· OSTI ID:22391650

Mazlan, Mazma Syahidatul Ayuni; Rosli, Norhayati ^[1]

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1. Faculty of Industrial Sciences and Technology, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Pahang (Malaysia)

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.

• OSTI ID: 22391650
• Journal Information: AIP Conference Proceedings, Vol. 1660, 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); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICAL METHODS AND COMPUTING
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
EFFICIENCY
ERRORS
MATHEMATICAL MODELS
NEOPLASMS
RANDOMNESS
STOCHASTIC PROCESSES