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http://hdl.handle.net/10497/14941| Title: | Authors: | Issue Date: | Dec-2009 |
Citation: | Ang, K. C. (2009, December). Analysis of a tumour growth model with MATLAB. Paper presented at the 14th Asian Technology Conference in Mathematics(2009), Beijing, China. |
Abstract: | Mathematical modelling can play a very important role in cancer research. In particular, modelling the growth of tumour has the potential of shedding light on the mechanisms of tumour cell growth and proliferation. In this paper, we examine and analyze one such model with the aid of MATLAB. The model, first proposed by Sherratt and Chaplain in 2001, is based on a set of partial differential equations. The equations describe the growth, movement and death of tumour cells, accompanied by a supply of nutrients. This spatial-temporal model depends on a number of parameter values as well as rate functions. The model is solved numerically using finite difference method implemented on MATLAB. Effects and influence of the parameter values and rate functions are analyzed. Results are validated against a set of known experimental data, and good agreement is observed. |
Description: | This paper was presented at the 14th Asian Technology Conference in Mathematics(2009), held in Beijing, China from 17 – 21 Dec 2009 |
URI: | File Permission: | Open |
File Availability: | With file |
| Appears in Collections: | Conference Papers |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ATCM-2009_AngKC_a.pdf | 357.81 kB | Adobe PDF | View/Open |
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