A weakly nonlinear analysis of a model of avascular solid tumour growth

Helen M. Byrne

doi:10.1007/s002850050163

A weakly nonlinear analysis of a model of avascular solid tumour growth

Journal of Mathematical Biology ◽

10.1007/s002850050163 ◽

1999 ◽

Vol 39 (1) ◽

pp. 59-89 ◽

Cited By ~ 53

Author(s):

Helen M. Byrne

Keyword(s):

Nonlinear Analysis ◽

Solid Tumour ◽

Tumour Growth ◽

Weakly Nonlinear ◽

Weakly Nonlinear Analysis ◽

Solid Tumour Growth

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Effect of rotation on a layer of ferrofluid for a local thermal nonequilibrium model with a heat source: weakly nonlinear analysis

Special Topics & Reviews in Porous Media An International Journal ◽

10.1615/specialtopicsrevporousmedia.2020033912 ◽

2020 ◽

Author(s):

Amit Mahajan ◽

hemant parashar

Keyword(s):

Heat Source ◽

Nonlinear Analysis ◽

Thermal Nonequilibrium ◽

Weakly Nonlinear ◽

Weakly Nonlinear Analysis ◽

Nonequilibrium Model ◽

Local Thermal Nonequilibrium

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Immiscible three-dimensional fingering in porous media: A weakly nonlinear analysis

Physical Review Fluids ◽

10.1103/physrevfluids.3.034002 ◽

2018 ◽

Vol 3 (3) ◽

Cited By ~ 3

Author(s):

Rodolfo Brandão ◽

Eduardo O. Dias ◽

José A. Miranda

Keyword(s):

Porous Media ◽

Nonlinear Analysis ◽

Three Dimensional ◽

Weakly Nonlinear ◽

Weakly Nonlinear Analysis

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Weakly Nonlinear Analysis on Pressure Waves in Bubbly Liquids with a Polydispersity of Bubble Size

The Proceedings of Ibaraki District Conference ◽

10.1299/jsmeibaraki.2020.28.605 ◽

2020 ◽

Vol 2020.28 (0) ◽

pp. 605

Author(s):

Reona ISHITSUKA ◽

Tetsuya KANAGAWA

Keyword(s):

Nonlinear Analysis ◽

Bubble Size ◽

Pressure Waves ◽

Weakly Nonlinear ◽

Bubbly Liquids ◽

Weakly Nonlinear Analysis

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Weakly nonlinear analysis of a hyperbolic model for animal group formation

Journal of Mathematical Biology ◽

10.1007/s00285-008-0209-8 ◽

2008 ◽

Vol 59 (1) ◽

pp. 37-74 ◽

Cited By ~ 30

Author(s):

R. Eftimie ◽

G. de Vries ◽

M. A. Lewis

Keyword(s):

Nonlinear Analysis ◽

Group Formation ◽

Hyperbolic Model ◽

Animal Group ◽

Weakly Nonlinear ◽

Weakly Nonlinear Analysis

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Weakly nonlinear analysis of the dune-flat bed transition with the mixing length turbulent model

River, Coastal and Estuarine Morphodynamics: RCEM 2007, Two Volume Set ◽

10.1201/noe0415453639-c129 ◽

2007 ◽

pp. 1021-1026

Author(s):

N Izumi

Keyword(s):

Nonlinear Analysis ◽

Mixing Length ◽

Turbulent Model ◽

Weakly Nonlinear ◽

Weakly Nonlinear Analysis

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A Hybrid Mathematical Model of Solid Tumour Growth: Bridging the Genotype to Phenotype Chasm

The FASEB Journal ◽

10.1096/fasebj.21.5.a97-d ◽

2007 ◽

Vol 21 (5) ◽

Cited By ~ 1

Author(s):

Alexander R. A. Anderson

Keyword(s):

Mathematical Model ◽

Solid Tumour ◽

Tumour Growth ◽

Solid Tumour Growth

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Weakly nonlinear analysis of the α effect

Geophysical & Astrophysical Fluid Dynamics ◽

10.1080/03091920701472535 ◽

2007 ◽

Vol 101 (3-4) ◽

pp. 171-184 ◽

Cited By ~ 1

Author(s):

D. Gérard-varet

Keyword(s):

Nonlinear Analysis ◽

Weakly Nonlinear ◽

Weakly Nonlinear Analysis

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Modelling solid tumour growth using the theory of mixtures

Mathematical Medicine and Biology A Journal of the IMA ◽

10.1093/imammb/20.4.341 ◽

2003 ◽

Vol 20 (4) ◽

pp. 341-366 ◽

Cited By ~ 262

Author(s):

H. Byrne

Keyword(s):

Solid Tumour ◽

Tumour Growth ◽

Solid Tumour Growth ◽

Theory Of Mixtures

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Longwave Marangoni convection in a binary liquid layer heated from above: weakly nonlinear analysis

Fluid Dynamics Research ◽

10.1088/0169-5983/46/4/041406 ◽

2014 ◽

Vol 46 (4) ◽

pp. 041406 ◽

Cited By ~ 2

Author(s):

Sergey Shklyaev ◽

Alexander A Nepomnyashchy

Keyword(s):

Nonlinear Analysis ◽

Liquid Layer ◽

Marangoni Convection ◽

Weakly Nonlinear ◽

Weakly Nonlinear Analysis ◽

Binary Liquid

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Mathematical modelling of solid tumour growth: from avascular to vascular, via angiogenesis

IAS/Park City Mathematics Series - Mathematical Biology ◽

10.1090/pcms/014/07 ◽

2009 ◽

pp. 217-287 ◽

Cited By ~ 4

Author(s):

Helen Byrne

Keyword(s):

Mathematical Modelling ◽

Solid Tumour ◽

Tumour Growth ◽

Solid Tumour Growth

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