A cellular automata model to investigate immune cell–tumor cell interactions in growing tumors in two spatial dimensions
Trisilowati, McCue, Scott W., & Mallet, Dann G. (2014) A cellular automata model to investigate immune cell–tumor cell interactions in growing tumors in two spatial dimensions. In Eladdadi, Amina, Kim, Peter, & Mallet, Dann (Eds.) Springer Proceedings in Mathematics & Statistics [Mathematical Models of Tumor-Immune System Dynamics], Springer New York, Sydney, Australia, pp. 223-251.
We develop a hybrid cellular automata model to describe the effect of the immune system and chemokines on a growing tumor. The hybrid cellular automata model consists of partial differential equations to model chemokine concentrations, and discrete cellular automata to model cell–cell interactions and changes. The computational implementation overlays these two components on the same spatial region. We present representative simulations of the model and show that increasing the number of immature dendritic cells (DCs) in the domain causes a decrease in the number of tumor cells. This result strongly supports the hypothesis that DCs can be used as a cancer treatment. Furthermore, we also use the hybrid cellular automata model to investigate the growth of a tumor in a number of computational “cancer patients.” Using these virtual patients, the model can explain that increasing the number of DCs in the domain causes longer “survival.” Not surprisingly, the model also reflects the fact that the parameter related to tumor division rate plays an important role in tumor metastasis.
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|Item Type:||Conference Paper|
|Keywords:||Cellular automata model, Dendritic cells, Computational model, Tumour cells, Mathematical model|
|Subjects:||Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Biological Mathematics (010202)
Australian and New Zealand Standard Research Classification > MEDICAL AND HEALTH SCIENCES (110000) > ONCOLOGY AND CARCINOGENESIS (111200) > Cancer Cell Biology (111201)
|Divisions:||Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
|Copyright Owner:||Copyright 2014 Springer Science+Business Media New York|
|Deposited On:||05 May 2015 01:44|
|Last Modified:||05 May 2015 01:44|
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