Modelling The Cancer Growth Process By Stochastic Delay Diffferential Equations Under Verhults And Gompertz's Law

Modelling The Cancer Growth Process By Stochastic Delay Diffferential Equations Under Verhults And Gompertz's Law

In this paper, the uncontrolled environmental factors are perturbed into the intrinsic growth rate factor of deterministic equations of the growth process. The growth process under two different laws which are Verhults and Gompertz’s law are considered, thus leading to stochastic delay differential...

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Main Authors: Mazma Syahidatul Ayuni, Mazlan, Norhayati, Rosli, Nina Suhaity, Azmi
Format: Article
Language:English
English
Published: Penerbit Universiti Teknologi Malaysia 2016
Subjects:
QA Mathematics
Online Access:http://umpir.ump.edu.my/id/eprint/13499/
http://umpir.ump.edu.my/id/eprint/13499/
http://umpir.ump.edu.my/id/eprint/13499/
http://umpir.ump.edu.my/id/eprint/13499/1/Jurnal%20Teknologi%20Norhayati%20Rosli.pdf
http://umpir.ump.edu.my/id/eprint/13499/7/7817
id ump-13499
recordtype eprints
spelling ump-134992018-01-25T02:29:30Z http://umpir.ump.edu.my/id/eprint/13499/ Modelling The Cancer Growth Process By Stochastic Delay Diffferential Equations Under Verhults And Gompertz's Law Mazma Syahidatul Ayuni, Mazlan Norhayati, Rosli Nina Suhaity, Azmi QA Mathematics In this paper, the uncontrolled environmental factors are perturbed into the intrinsic growth rate factor of deterministic equations of the growth process. The growth process under two different laws which are Verhults and Gompertz’s law are considered, thus leading to stochastic delay differential equations (SDDEs) of logistic and Gompertzian, respectively. Gompertzian deterministic model has been proved to fit well the clinical data of cancerous growth, however the performance of stochastic model towards clinical data is yet to be confirmed. The prediction quality of logistic and Gompertzian SDDEs are evaluating by comparing the simulated results with the clinical data of cervical cancer growth. The parameter estimation of stochastic models is computed by using simulated maximum likelihood method. We adopt 4-stage stochastic Runge-Kutta to simulate the solution of stochastic models. Penerbit Universiti Teknologi Malaysia 2016 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/13499/1/Jurnal%20Teknologi%20Norhayati%20Rosli.pdf application/pdf en http://umpir.ump.edu.my/id/eprint/13499/7/7817 Mazma Syahidatul Ayuni, Mazlan and Norhayati, Rosli and Nina Suhaity, Azmi (2016) Modelling The Cancer Growth Process By Stochastic Delay Diffferential Equations Under Verhults And Gompertz's Law. Jurnal Teknologi (Sciences and Engineering), 78 (3-2). pp. 77-82. ISSN 2180-3722 http://www.jurnalteknologi.utm.my/index.php/jurnalteknologi/article/view/7817 10.11113/jt.v78.7817
repository_type Digital Repository
institution_category Local University
institution Universiti Malaysia Pahang
building UMP Institutional Repository
collection Online Access
language English
English
topic QA Mathematics
spellingShingle QA Mathematics
Mazma Syahidatul Ayuni, Mazlan
Norhayati, Rosli
Nina Suhaity, Azmi
Modelling The Cancer Growth Process By Stochastic Delay Diffferential Equations Under Verhults And Gompertz's Law
description In this paper, the uncontrolled environmental factors are perturbed into the intrinsic growth rate factor of deterministic equations of the growth process. The growth process under two different laws which are Verhults and Gompertz’s law are considered, thus leading to stochastic delay differential equations (SDDEs) of logistic and Gompertzian, respectively. Gompertzian deterministic model has been proved to fit well the clinical data of cancerous growth, however the performance of stochastic model towards clinical data is yet to be confirmed. The prediction quality of logistic and Gompertzian SDDEs are evaluating by comparing the simulated results with the clinical data of cervical cancer growth. The parameter estimation of stochastic models is computed by using simulated maximum likelihood method. We adopt 4-stage stochastic Runge-Kutta to simulate the solution of stochastic models.
format Article
author Mazma Syahidatul Ayuni, Mazlan
Norhayati, Rosli
Nina Suhaity, Azmi
author_facet Mazma Syahidatul Ayuni, Mazlan
Norhayati, Rosli
Nina Suhaity, Azmi
author_sort Mazma Syahidatul Ayuni, Mazlan
title Modelling The Cancer Growth Process By Stochastic Delay Diffferential Equations Under Verhults And Gompertz's Law
title_short Modelling The Cancer Growth Process By Stochastic Delay Diffferential Equations Under Verhults And Gompertz's Law
title_full Modelling The Cancer Growth Process By Stochastic Delay Diffferential Equations Under Verhults And Gompertz's Law
title_fullStr Modelling The Cancer Growth Process By Stochastic Delay Diffferential Equations Under Verhults And Gompertz's Law
title_full_unstemmed Modelling The Cancer Growth Process By Stochastic Delay Diffferential Equations Under Verhults And Gompertz's Law
title_sort modelling the cancer growth process by stochastic delay diffferential equations under verhults and gompertz's law
publisher Penerbit Universiti Teknologi Malaysia
publishDate 2016
url http://umpir.ump.edu.my/id/eprint/13499/
http://umpir.ump.edu.my/id/eprint/13499/
http://umpir.ump.edu.my/id/eprint/13499/
http://umpir.ump.edu.my/id/eprint/13499/1/Jurnal%20Teknologi%20Norhayati%20Rosli.pdf
http://umpir.ump.edu.my/id/eprint/13499/7/7817
first_indexed 2023-09-18T22:16:13Z
last_indexed 2023-09-18T22:16:13Z
_version_ 1777415354573651968

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