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...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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2015
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| Online Access: | http://eprints.utm.my/61783/1/NormahMaan2015_AnalysisofTumorGrowthandImmuneSystem.pdf |
| _version_ | 1796861161615917056 |
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| author | Awang, Nor Aziran Maan, Normah |
| author_facet | Awang, Nor Aziran Maan, Normah |
| author_sort | Awang, Nor Aziran |
| collection | ePrints |
| 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. |
| first_indexed | 2024-03-05T19:52:11Z |
| format | Conference or Workshop Item |
| id | utm.eprints-61783 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T19:52:11Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | utm.eprints-617832017-04-26T06:32:20Z http://eprints.utm.my/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/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/ |
| spellingShingle | QA Mathematics Awang, Nor Aziran Maan, Normah Analysis of tumor growth and immune system interaction model |
| title | 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_short | Analysis of tumor growth and immune system interaction model |
| title_sort | analysis of tumor growth and immune system interaction model |
| topic | QA Mathematics |
| url | http://eprints.utm.my/61783/1/NormahMaan2015_AnalysisofTumorGrowthandImmuneSystem.pdf |
| work_keys_str_mv | AT awangnoraziran analysisoftumorgrowthandimmunesysteminteractionmodel AT maannormah analysisoftumorgrowthandimmunesysteminteractionmodel |