Gompertzian stochastic model with delay effect to cervical cancer growth

Journal Article · Tue Feb 03 00:00:00 EST 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4907496· OSTI ID:22390950

Rosli, Norhayati binti ^[1]; Bahar, Arifah ^[2]

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1. Faculty of Industrial Sciences and Technology, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Pahang (Malaysia)
2. Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor and UTM Centre for Industrial and Applied Mathematics (UTM-CIAM), Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor (Malaysia)

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.

• OSTI ID: 22390950
• Journal Information: AIP Conference Proceedings, Vol. 1643, Issue 1; Conference: 2. ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, Pahang (Malaysia), 12-14 Aug 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
60 APPLIED LIFE SCIENCES
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
EFFICIENCY
ERRORS
MATHEMATICAL MODELS
NEOPLASMS
NONLINEAR PROBLEMS
OPTIMIZATION
STOCHASTIC PROCESSES
TIME DELAY