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Technical report: numerical solution of linear reaction-diffusion processes on fixed domain: criteria for colonization / Nur Zuhaily Zulkefly, Hasanatuz Zawanah Md Rafie and Siti Aisyah Shamsul

The macroscopic pattern exhibited by bacterial colony depends on certain environmental parameters and it gives some clues about the coordinated colonization strategy followed by the community of cell. Mathematical models of such colonization pattern usually take the form of a reaction-diffusion part...

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Main Authors: Zulkefly, Nur Zuhaily, Md Rafie, Hasanatuz Zawanah, Shamsul, Siti Aisyah
Format: Student Project
Language:English
Published: 2017
Subjects:
Study and teaching
Equations
Analysis
Online Access:https://ir.uitm.edu.my/id/eprint/110573/1/110573.pdf
https://ir.uitm.edu.my/id/eprint/110573/
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spelling my.uitm.ir.1105732025-02-25T09:30:03Z https://ir.uitm.edu.my/id/eprint/110573/ Technical report: numerical solution of linear reaction-diffusion processes on fixed domain: criteria for colonization / Nur Zuhaily Zulkefly, Hasanatuz Zawanah Md Rafie and Siti Aisyah Shamsul Zulkefly, Nur Zuhaily Md Rafie, Hasanatuz Zawanah Shamsul, Siti Aisyah Study and teaching Equations Analysis The macroscopic pattern exhibited by bacterial colony depends on certain environmental parameters and it gives some clues about the coordinated colonization strategy followed by the community of cell. Mathematical models of such colonization pattern usually take the form of a reaction-diffusion partial differential equation (PDE) on fixed domain. This research presents a numerical solution of linear reaction-diffusion PDE on fixed domain. The solution is for a general class of one-dimensional linear reaction-diffusion process with interval of domain fixed on x = [O, 1]. The linear reaction-diffusion problem model is solved numerically via finite dif­ference method implicitly which are Crank-Nicholson (C-N) and Backward time Central space (BTCS) approach and is verified with pdepe solver in MATLAB. Crank-Nicholson and Back­ward time Central space approach are chosen because the methods are unconditionally stable. Furthermore, this research paper also illustrates a delicate interplay between the diffusivity as­sociated with the spreading density profile and the grow rate of the bacteria species. Alternating the balance between this two features leads to different outcomes in term of colonizes the entire length of fixed domain and the condense rate of cell concentration at a particular nodes of the domain. 2017 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/110573/1/110573.pdf Technical report: numerical solution of linear reaction-diffusion processes on fixed domain: criteria for colonization / Nur Zuhaily Zulkefly, Hasanatuz Zawanah Md Rafie and Siti Aisyah Shamsul. (2017) [Student Project] <http://terminalib.uitm.edu.my/110573.pdf> (Unpublished)
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Study and teaching
Equations
Analysis
spellingShingle Study and teaching
Equations
Analysis
Zulkefly, Nur Zuhaily
Md Rafie, Hasanatuz Zawanah
Shamsul, Siti Aisyah
Technical report: numerical solution of linear reaction-diffusion processes on fixed domain: criteria for colonization / Nur Zuhaily Zulkefly, Hasanatuz Zawanah Md Rafie and Siti Aisyah Shamsul
description The macroscopic pattern exhibited by bacterial colony depends on certain environmental parameters and it gives some clues about the coordinated colonization strategy followed by the community of cell. Mathematical models of such colonization pattern usually take the form of a reaction-diffusion partial differential equation (PDE) on fixed domain. This research presents a numerical solution of linear reaction-diffusion PDE on fixed domain. The solution is for a general class of one-dimensional linear reaction-diffusion process with interval of domain fixed on x = [O, 1]. The linear reaction-diffusion problem model is solved numerically via finite dif­ference method implicitly which are Crank-Nicholson (C-N) and Backward time Central space (BTCS) approach and is verified with pdepe solver in MATLAB. Crank-Nicholson and Back­ward time Central space approach are chosen because the methods are unconditionally stable. Furthermore, this research paper also illustrates a delicate interplay between the diffusivity as­sociated with the spreading density profile and the grow rate of the bacteria species. Alternating the balance between this two features leads to different outcomes in term of colonizes the entire length of fixed domain and the condense rate of cell concentration at a particular nodes of the domain.
format Student Project
author Zulkefly, Nur Zuhaily
Md Rafie, Hasanatuz Zawanah
Shamsul, Siti Aisyah
author_facet Zulkefly, Nur Zuhaily
Md Rafie, Hasanatuz Zawanah
Shamsul, Siti Aisyah
author_sort Zulkefly, Nur Zuhaily
title Technical report: numerical solution of linear reaction-diffusion processes on fixed domain: criteria for colonization / Nur Zuhaily Zulkefly, Hasanatuz Zawanah Md Rafie and Siti Aisyah Shamsul
title_short Technical report: numerical solution of linear reaction-diffusion processes on fixed domain: criteria for colonization / Nur Zuhaily Zulkefly, Hasanatuz Zawanah Md Rafie and Siti Aisyah Shamsul
title_full Technical report: numerical solution of linear reaction-diffusion processes on fixed domain: criteria for colonization / Nur Zuhaily Zulkefly, Hasanatuz Zawanah Md Rafie and Siti Aisyah Shamsul
title_fullStr Technical report: numerical solution of linear reaction-diffusion processes on fixed domain: criteria for colonization / Nur Zuhaily Zulkefly, Hasanatuz Zawanah Md Rafie and Siti Aisyah Shamsul
title_full_unstemmed Technical report: numerical solution of linear reaction-diffusion processes on fixed domain: criteria for colonization / Nur Zuhaily Zulkefly, Hasanatuz Zawanah Md Rafie and Siti Aisyah Shamsul
title_sort technical report: numerical solution of linear reaction-diffusion processes on fixed domain: criteria for colonization / nur zuhaily zulkefly, hasanatuz zawanah md rafie and siti aisyah shamsul
publishDate 2017
url https://ir.uitm.edu.my/id/eprint/110573/1/110573.pdf
https://ir.uitm.edu.my/id/eprint/110573/
_version_ 1825165203428343808
score 13.239859

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