Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth

Journal of Mathematical Biology ◽

10.1007/s002850000067 ◽

2001 ◽

Vol 42 (5) ◽

pp. 387-423 ◽

Author(s):

M.A.J. Chaplain ◽

M. Ganesh ◽

I.G. Graham

Keyword(s):

Numerical Simulation ◽

Pattern Formation ◽

Temporal Pattern ◽

Solid Tumour ◽

Tumour Growth ◽

Spherical Surfaces ◽

Solid Tumour Growth ◽

Spatio Temporal

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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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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 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) ◽

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 ◽

Author(s):

H. Byrne

Keyword(s):

Solid Tumour ◽

Tumour Growth ◽

Solid Tumour Growth ◽

Theory Of Mixtures

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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 ◽

Author(s):

Helen Byrne

Keyword(s):

Mathematical Modelling ◽

Solid Tumour ◽

Tumour Growth ◽

Solid Tumour Growth

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Spatio-Temporal Pattern Formation

Zeitschrift für Physikalische Chemie ◽

10.1524/zpch.1999.208.part_1_2.280 ◽

1999 ◽

Vol 208 (Part_1_2) ◽

pp. 280-281

Author(s):

K. Krischer

Keyword(s):

Pattern Formation ◽

Temporal Pattern ◽

Spatio Temporal

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Spatio-temporal pattern formation with oscillatory chemical reaction and continuous photon flux on a micrometre scale

Journal of Physics Condensed Matter ◽

10.1088/0953-8984/17/49/017 ◽

2005 ◽

Vol 17 (49) ◽

pp. S4239-S4248 ◽

Author(s):

Hiroyuki Kitahata ◽

Kenichi Yoshikawa

Keyword(s):

Pattern Formation ◽

Chemical Reaction ◽

Temporal Pattern ◽

Photon Flux ◽

Oscillatory Chemical ◽

Oscillatory Chemical Reaction ◽

Spatio Temporal

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Control of spatio-temporal pattern formation governed by geometrical models of interface evolution

2014 European Control Conference (ECC) ◽

10.1109/ecc.2014.6862521 ◽

2014 ◽

Author(s):

Adrian Bouaru ◽

Daniel Coca

Keyword(s):

Pattern Formation ◽

Temporal Pattern ◽

Interface Evolution ◽

Spatio Temporal

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Spatial and spatio-temporal pattern formation in heterogeneous reaction-diffusion systems

Physica A Statistical Mechanics and its Applications ◽

10.1016/0378-4371(92)90271-q ◽

1992 ◽

Vol 188 (1-3) ◽

pp. 251-252

Author(s):

H. Malchow

Keyword(s):

Pattern Formation ◽

Temporal Pattern ◽

Heterogeneous Reaction ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Spatio Temporal

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Spatio-temporal pattern formation in a lateral high-frequency glow discharge system

Physics Letters A ◽

10.1016/0375-9601(93)90690-2 ◽

1993 ◽

Vol 179 (4-5) ◽

pp. 348-354 ◽

Author(s):

E. Ammelt ◽

D. Schweng ◽

H.-G. Purwins

Keyword(s):

Pattern Formation ◽

Glow Discharge ◽

High Frequency ◽

Temporal Pattern ◽

Discharge System ◽

Spatio Temporal

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