Modelling the Cervical Cancer Growth Process by Stochastic Delay Differential Equations

Mazlan, Mazma Syahidatul Ayuni; Rosli, Norhayati; Azmi, Nina Suhaity; Bahar, Arifah

doi:10.17576/jsm-2015-4408-11

Cited by 3 publications

References 7 publications

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Stochastic Gompertzian model for breast cancer growth process

Mazlan

Rosli

2017

AIP Conference Proceedings

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In this paper, a stochastic Gompertzian model is developed to describe the growth process of a breast cancer by incorporating the noisy behavior into a deterministic Gompertzian model. The prediction quality of the stochastic Gompertzian model is measured by comparing the simulated result with the clinical data of breast cancer growth. The kinetic parameters of the model are estimated via maximum likelihood procedure. 4-stage stochastic Runge-Kutta (SRK4) is used to simulate the sample path of the model. Low values of mean-square error (MSE) of stochastic model indicate good fits. It is shown that the stochastic Gompertzian model is adequate in explaining the breast cancer growth process compared to the deterministic model counterpart.

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Stochastic Gompertzian model for breast cancer growth process

Mazlan

Rosli

2017

AIP Conference Proceedings

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The performance of stochastic Taylor methods and derivative-free method to approximate the solutions of stochastic delay differential equations

Rosli¹,

Mutalib²,

Ariffin³

et al. 2019

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH2018): Innovative Technologie

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A Fractal Fractional Model for Cervical Cancer Due to Human Papillomavirus Infection

et al. 2021

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In this paper, we have investigated women’s malignant disease, cervical cancer, by constructing the compartmental model. An extended fractal–fractional model is used to study the disease dynamics. The points of equilibria are computed analytically and verified by numerical simulations. The key role of [Formula: see text] in describing the stability of the model is presented. The sensitivity analysis of [Formula: see text] for deciding the role of certain parameters altering the disease dynamics is carried out. The numerical simulations of the proposed numerical technique are demonstrated to test the claimed facts.

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Modelling the Cervical Cancer Growth Process by Stochastic Delay Differential Equations

Abstract: In this paper, the uncontrolled environmental factors are perturbed into the growth rate deceleration factor of the Gompertzian deterministic model. The

Cited by 3 publications

References 7 publications

Stochastic Gompertzian model for breast cancer growth process

Stochastic Gompertzian model for breast cancer growth process

The performance of stochastic Taylor methods and derivative-free method to approximate the solutions of stochastic delay differential equations

A Fractal Fractional Model for Cervical Cancer Due to Human Papillomavirus Infection

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