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Mathematical model for cancer cell invasion of tissue

Cancer cell invasion of tissue is a complex biological process which during cell migration through extracellular matrix, facilitated by the secretion of degradative enzymes, is a central process. Cells can be deform their cytoplasm to produce pseudopodia, anchor these pseudopodia to neighbouring spa...

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Main Author: Abdullah, Norul Hidayah
Format: Thesis
Language:English
Published: 2014
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/50831/1/NorulHidayahAbdullahMFS2014.pdf
http://eprints.utm.my/id/eprint/50831/
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spelling my.utm.508312020-07-13T01:40:30Z http://eprints.utm.my/id/eprint/50831/ Mathematical model for cancer cell invasion of tissue Abdullah, Norul Hidayah QA Mathematics Cancer cell invasion of tissue is a complex biological process which during cell migration through extracellular matrix, facilitated by the secretion of degradative enzymes, is a central process. Cells can be deform their cytoplasm to produce pseudopodia, anchor these pseudopodia to neighbouring spatial locations in the tissue and detach earlier bonds, to enable them to move and therefore migrate in a specified direction. Genetic mutations, chemoattractant gradient or a lack of nutrients in their current location can stimulate cell motility and cause them to migrate, thereby invading new territory. In this paper, we propose a hybrid discrete-continuum model to study the early growth of solid tumour and their ability to degrade and migrate into the surrounding extracellular matrix. Considering the importance of chemoattractant gradients in the invasion process, the model consists of a system of partial differential equations describing the interactions of enzyme and the surrounding matrix. Having formulated, then the system has been simplified to simpler system which give an analytical solution in Fourier series. Results from simulation show that the degradation of the extracellular matrix mirrors the tumour’s growth. High enzyme concentrations, which cause maximum degradation of extracellular matrix leads to a rise in concentration of attractant and growth factors causes cells to migrate outward and to proliferate. Finally concluding remarks are made and recommendation for future work are indicated in the last section. 2014-06 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/50831/1/NorulHidayahAbdullahMFS2014.pdf Abdullah, Norul Hidayah (2014) Mathematical model for cancer cell invasion of tissue. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:86931
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Abdullah, Norul Hidayah
Mathematical model for cancer cell invasion of tissue
description Cancer cell invasion of tissue is a complex biological process which during cell migration through extracellular matrix, facilitated by the secretion of degradative enzymes, is a central process. Cells can be deform their cytoplasm to produce pseudopodia, anchor these pseudopodia to neighbouring spatial locations in the tissue and detach earlier bonds, to enable them to move and therefore migrate in a specified direction. Genetic mutations, chemoattractant gradient or a lack of nutrients in their current location can stimulate cell motility and cause them to migrate, thereby invading new territory. In this paper, we propose a hybrid discrete-continuum model to study the early growth of solid tumour and their ability to degrade and migrate into the surrounding extracellular matrix. Considering the importance of chemoattractant gradients in the invasion process, the model consists of a system of partial differential equations describing the interactions of enzyme and the surrounding matrix. Having formulated, then the system has been simplified to simpler system which give an analytical solution in Fourier series. Results from simulation show that the degradation of the extracellular matrix mirrors the tumour’s growth. High enzyme concentrations, which cause maximum degradation of extracellular matrix leads to a rise in concentration of attractant and growth factors causes cells to migrate outward and to proliferate. Finally concluding remarks are made and recommendation for future work are indicated in the last section.
format Thesis
author Abdullah, Norul Hidayah
author_facet Abdullah, Norul Hidayah
author_sort Abdullah, Norul Hidayah
title Mathematical model for cancer cell invasion of tissue
title_short Mathematical model for cancer cell invasion of tissue
title_full Mathematical model for cancer cell invasion of tissue
title_fullStr Mathematical model for cancer cell invasion of tissue
title_full_unstemmed Mathematical model for cancer cell invasion of tissue
title_sort mathematical model for cancer cell invasion of tissue
publishDate 2014
url http://eprints.utm.my/id/eprint/50831/1/NorulHidayahAbdullahMFS2014.pdf
http://eprints.utm.my/id/eprint/50831/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:86931
_version_ 1674066159214788608
score 13.211869

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