scholarly journals Travelling wave analysis of cellular invasion into surrounding tissues

2021 ◽  
Vol 428 ◽  
pp. 133026
Author(s):  
Maud El-Hachem ◽  
Scott W. McCue ◽  
Matthew J. Simpson
Keyword(s):  
Travelling Wave ◽  
Wave Analysis ◽  
Cellular Invasion

scholarly journals Travelling wave analysis on high-speed performance of Q-modulated distributed feedback laser

2012 ◽  
Vol 20 (3) ◽  
pp. 2277 ◽  
Author(s):  
Jiankun Zhi ◽  
Hongli Zhu ◽  
Dekun Liu ◽  
Lei Wang ◽  
Jian-Jun He
Keyword(s):  
High Speed ◽  
Travelling Wave ◽  
Distributed Feedback ◽  
Wave Analysis ◽  
Distributed Feedback Laser ◽  
Speed Performance

scholarly journals Erratum to: Travelling wave analysis in chemotaxis: case of starvation

SpringerPlus ◽  
2016 ◽  
Vol 5 (1) ◽  
Author(s):  
P. M. Tchepmo Djomegni ◽  
Keshlan Sathasiva Govinder
Keyword(s):  
Travelling Wave ◽  
Wave Analysis

scholarly journals Response of Immunotherapy to Tumour-TICLs Interactions: A Travelling Wave Analysis

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Joseph Malinzi ◽  
Precious Sibanda ◽  
Hermane Mambili-Mamboundou
Keyword(s):  
Phase Space ◽  
Mathematical Modelling ◽  
Wave Speed ◽  
Interaction Model ◽  
Travelling Wave ◽  
Tumour Invasion ◽  
Wave Analysis ◽  
Stable And Unstable Manifolds ◽  
Minimum Wave Speed ◽  
Unstable Manifolds

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.

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