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Analysis of tumor growth and immune system interaction model

Immune system plays a vital role in controlling the tumor growth. Therefore, this paper proposes a new mathematical model that describes tumor-immune interaction, focusing on the role of natural killer (NK) cell and CD8+ T cell. The tumor population is subdivided into two different phases, namely in...

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Main Authors: Awang, Nor Aziran, Maan, Normah
Format: Conference or Workshop Item
Language:English
Published: 2015
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/61783/1/NormahMaan2015_AnalysisofTumorGrowthandImmuneSystem.pdf
http://eprints.utm.my/id/eprint/61783/
http://science.utm.my/sksm23/
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spelling my.utm.617832017-04-26T06:32:20Z http://eprints.utm.my/id/eprint/61783/ Analysis of tumor growth and immune system interaction model Awang, Nor Aziran Maan, Normah QA Mathematics Immune system plays a vital role in controlling the tumor growth. Therefore, this paper proposes a new mathematical model that describes tumor-immune interaction, focusing on the role of natural killer (NK) cell and CD8+ T cell. The tumor population is subdivided into two different phases, namely interphase and mitosis. This model used Ordinary Differential Equations (ODEs) and the functions involved in the model represents tumor-immune growth, responses and interaction between the cells. The stability and analysis of the model are carried out. From the analysis, it shown that the stability curve limits tumor growth region. The curve from the model lie below the curve of the model with single immune response (CD8+ T cell). This result concluded that the proposed model with involvement of NK cell suppression will lower the tumor growth region. 2015 Conference or Workshop Item PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/61783/1/NormahMaan2015_AnalysisofTumorGrowthandImmuneSystem.pdf Awang, Nor Aziran and Maan, Normah (2015) Analysis of tumor growth and immune system interaction model. In: Simposium Kebangsaan Sains Matematik 23, 24-26 Nov, 2015, Skudai, Johor. http://science.utm.my/sksm23/
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
Awang, Nor Aziran
Maan, Normah
Analysis of tumor growth and immune system interaction model
description Immune system plays a vital role in controlling the tumor growth. Therefore, this paper proposes a new mathematical model that describes tumor-immune interaction, focusing on the role of natural killer (NK) cell and CD8+ T cell. The tumor population is subdivided into two different phases, namely interphase and mitosis. This model used Ordinary Differential Equations (ODEs) and the functions involved in the model represents tumor-immune growth, responses and interaction between the cells. The stability and analysis of the model are carried out. From the analysis, it shown that the stability curve limits tumor growth region. The curve from the model lie below the curve of the model with single immune response (CD8+ T cell). This result concluded that the proposed model with involvement of NK cell suppression will lower the tumor growth region.
format Conference or Workshop Item
author Awang, Nor Aziran
Maan, Normah
author_facet Awang, Nor Aziran
Maan, Normah
author_sort Awang, Nor Aziran
title Analysis of tumor growth and immune system interaction model
title_short Analysis of tumor growth and immune system interaction model
title_full Analysis of tumor growth and immune system interaction model
title_fullStr Analysis of tumor growth and immune system interaction model
title_full_unstemmed Analysis of tumor growth and immune system interaction model
title_sort analysis of tumor growth and immune system interaction model
publishDate 2015
url http://eprints.utm.my/id/eprint/61783/1/NormahMaan2015_AnalysisofTumorGrowthandImmuneSystem.pdf
http://eprints.utm.my/id/eprint/61783/
http://science.utm.my/sksm23/
_version_ 1643655259903492096
score 13.211869

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