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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Mathematical Modelling of Solid Tumour Growth: Applications of Pre-pattern Formation

Morphogenesis and Pattern Formation in Biological Systems ◽

10.1007/978-4-431-65958-7_24 ◽

2003 ◽

pp. 283-293

Author(s):

Mark A. J. Chaplain ◽

Mahadevan Ganesh ◽

Ivan G. Graham ◽

Georgios Lolas

Keyword(s):

Pattern Formation ◽

Mathematical Modelling ◽

Solid Tumour ◽

Tumour Growth ◽

Solid Tumour Growth

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A history of the study of solid tumour growth: the contribution of mathematical modelling

Bulletin of Mathematical Biology ◽

10.1016/j.bulm.2003.11.002 ◽

2004 ◽

Vol 66 (5) ◽

pp. 1039-1091 ◽

Cited By ~ 418

Author(s):

R ARAUJO

Keyword(s):

Mathematical Modelling ◽

Solid Tumour ◽

Tumour Growth ◽

History Of ◽

Solid Tumour Growth

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A history of the study of solid tumour growth: the contribution of mathematical modelling

Bulletin of Mathematical Biology ◽

10.1016/s0092-8240(03)00126-5 ◽

2004 ◽

Cited By ~ 2

Author(s):

R ARAUJO

Keyword(s):

Mathematical Modelling ◽

Solid Tumour ◽

Tumour Growth ◽

History Of ◽

Solid Tumour Growth

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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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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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Numerical Simulation of the Vascular Solid Tumour Growth Model and Therapy – Parallel Implementation

Advances in Intelligent Systems and Computing - Information Technologies in Biomedicine, Volume 3 ◽

10.1007/978-3-319-06593-9_23 ◽

2014 ◽

pp. 261-270

Author(s):

Krzysztof Psiuk-Maksymowicz ◽

Damian Borys ◽

Sebastian Student ◽

Andrzej Świerniak

Keyword(s):

Numerical Simulation ◽

Growth Model ◽

Solid Tumour ◽

Tumour Growth ◽

Parallel Implementation ◽

Solid Tumour Growth ◽

Tumour Growth Model

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SIMULATION OF SOLID TUMOUR GROWTH IN VIVO AND TUMOUR RESPONSE TO RADIATION THERAPY

Scattering and Biomedical Engineering ◽

10.1142/9789812777140_0025 ◽

2002 ◽

Author(s):

DIMITRA D. DIONYSIOU ◽

GEORGIOS S. STAMATAKOS ◽

NIKOLAOS K. UZUNOGLU ◽

KONSTANTINA S. NIKITA

Keyword(s):

Radiation Therapy ◽

Solid Tumour ◽

Tumour Growth ◽

Tumour Response ◽

Solid Tumour Growth

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Lie symmetries, reduction and exact solutions of the (1+2)-dimensional nonlinear problem modeling the solid tumour growth

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2019.104980 ◽

2020 ◽

Vol 80 ◽

pp. 104980 ◽

Cited By ~ 1

Author(s):

Roman Cherniha ◽

Vasyl’ Davydovych

Keyword(s):

Exact Solutions ◽

Nonlinear Problem ◽

Solid Tumour ◽

Tumour Growth ◽

Lie Symmetries ◽

Problem Modeling ◽

Solid Tumour Growth

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Modelling the Role of Angiogenesis and Vasculogenesis in Solid Tumour Growth

Bulletin of Mathematical Biology ◽

10.1007/s11538-007-9253-6 ◽

2007 ◽

Vol 69 (8) ◽

pp. 2737-2772 ◽

Cited By ~ 32

Author(s):

I. J. Stamper ◽

H. M. Byrne ◽

M. R. Owen ◽

P. K. Maini

Keyword(s):

Solid Tumour ◽

Tumour Growth ◽

Solid Tumour Growth

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Solid tumour growth analysis of necrotic core formation

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2004.06.022 ◽

2005 ◽

Vol 42 (5-6) ◽

pp. 593-600 ◽

Cited By ~ 19

Author(s):

U. Foryś ◽

A. Mokwa-Borkowska

Keyword(s):

Solid Tumour ◽

Growth Analysis ◽

Tumour Growth ◽

Necrotic Core ◽

Core Formation ◽

Solid Tumour Growth

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