Open Access
2014 Response of Immunotherapy to Tumour-TICLs Interactions: A Travelling Wave Analysis
Joseph Malinzi, Precious Sibanda, Hermane Mambili-Mamboundou
Abstr. Appl. Anal. 2014(SI37): 1-10 (2014). DOI: 10.1155/2014/137015

Abstract

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.

Citation

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Joseph Malinzi. Precious Sibanda. Hermane Mambili-Mamboundou. "Response of Immunotherapy to Tumour-TICLs Interactions: A Travelling Wave Analysis." Abstr. Appl. Anal. 2014 (SI37) 1 - 10, 2014. https://doi.org/10.1155/2014/137015

Information

Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 1308.92051
MathSciNet: MR3240523
Digital Object Identifier: 10.1155/2014/137015

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI37 • 2014
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