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Title: A numerical approach to modelling avascular tumour evolution with white noise
Authors: Ang, Keng Cheng
Tan, Liang Soon
Issue Date: 2008
Citation: Ang, K. C., & Tan, L. S. (2008). A numerical approach to modelling avascular tumour evolution with white noise. Australian and New Zealand Industrial and Applied Mathematics Journal (ANZIAM), 50(CTAC2008), C569-C582.
Abstract: A model for avascular tumour growth with white noise is presented.
The model is a set of partial differential equations describing the
spatio-temporal evolutions of cell concentrations based on reactiondiffusion
dynamics and the law of mass conservation. Perturbations
in the form of white noise are introduced to model the effects of random
processes on distinct time scales. Numerical simulations in one
and two space dimensions are presented. Numerical results indicate
that the proposed model is a reasonable approach that may be used
to examine the effects of nutrient supply in tumour growth dynamics.
ISSN: 1446-1811
Other Identifiers: 10.0000/anziamj.v50i0.1362
Appears in Collections:Journal Articles

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