A numerical simulation of avascular tumour growth

Tan Liang Soon, Ang Keng Cheng


We develop and calibrate a mathematical model for avascular tumour growth. The model is formulated as a set of partial differential equations describing the spatio-temporal changes in cell concentrations based on reaction-diffusion dynamics and the law of mass conservation. Unlike existing models, the current model takes into account the dependence of the cell proliferation rate on the growth inhibiting factors secreted by necrotic cells; furthermore, the model incorporates an element of random variation to the mitotic rate and nutrient supply. The model is solved using standard finite difference techniques. Results obtained from the simulation compare well with published experimental data. The biological and clinical implications of these results are also discussed.

Full Text:


DOI: http://dx.doi.org/10.21914/anziamj.v46i0.997

Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.