Response of Immunotherapy to Tumour-TICLs Interactions: A Travelling Wave Analysis
There are several cancers for which effective treatment has not yet been identified. Mathematical modelling can nevertheless point out to clinicians tumour invasion properties that should be targeted to mitigate these cancers. We present a travelling wave analysis of a tumour-immune interaction mode...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/137015 |
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| _version_ | 1832555489301364736 |
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| author | Joseph Malinzi Precious Sibanda Hermane Mambili-Mamboundou |
| author_facet | Joseph Malinzi Precious Sibanda Hermane Mambili-Mamboundou |
| author_sort | Joseph Malinzi |
| collection | DOAJ |
| description | There are several cancers for which effective treatment has not yet been identified. Mathematical modelling can nevertheless point out to clinicians tumour invasion properties that should be targeted to mitigate these cancers. We present a travelling wave analysis of a tumour-immune interaction model with immunotherapy.
We use the geometric treatment of an apt-phase space to establish the intersection between stable and unstable manifolds. We calculate the minimum wave speed and numerical simulations are performed to support the analytical results. |
| format | Article |
| id | doaj-art-ba89ab8ab8714cee9fa1b8ef53ffed85 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ba89ab8ab8714cee9fa1b8ef53ffed852025-02-03T05:48:10ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/137015137015Response of Immunotherapy to Tumour-TICLs Interactions: A Travelling Wave AnalysisJoseph Malinzi0Precious Sibanda1Hermane Mambili-Mamboundou2School of Mathematics, Statistics, and Computer Science, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South AfricaSchool of Mathematics, Statistics, and Computer Science, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South AfricaSchool of Mathematics, Statistics, and Computer Science, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South AfricaThere are several cancers for which effective treatment has not yet been identified. Mathematical modelling can nevertheless point out to clinicians tumour invasion properties that should be targeted to mitigate these cancers. We present a travelling wave analysis of a tumour-immune interaction model with immunotherapy. We use the geometric treatment of an apt-phase space to establish the intersection between stable and unstable manifolds. We calculate the minimum wave speed and numerical simulations are performed to support the analytical results.http://dx.doi.org/10.1155/2014/137015 |
| spellingShingle | Joseph Malinzi Precious Sibanda Hermane Mambili-Mamboundou Response of Immunotherapy to Tumour-TICLs Interactions: A Travelling Wave Analysis Abstract and Applied Analysis |
| title | Response of Immunotherapy to Tumour-TICLs Interactions: A Travelling Wave Analysis |
| title_full | Response of Immunotherapy to Tumour-TICLs Interactions: A Travelling Wave Analysis |
| title_fullStr | Response of Immunotherapy to Tumour-TICLs Interactions: A Travelling Wave Analysis |
| title_full_unstemmed | Response of Immunotherapy to Tumour-TICLs Interactions: A Travelling Wave Analysis |
| title_short | Response of Immunotherapy to Tumour-TICLs Interactions: A Travelling Wave Analysis |
| title_sort | response of immunotherapy to tumour ticls interactions a travelling wave analysis |
| url | http://dx.doi.org/10.1155/2014/137015 |
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