Mathematical modelling of tumour growth and interaction with host tissue and the immune system

Trisilowati, (2013) Mathematical modelling of tumour growth and interaction with host tissue and the immune system. PhD thesis, Queensland University of Technology.


In this thesis, three mathematical models describing the growth of solid tumour incorporating the host tissue and the immune system response are developed and investigated. The initial model describes the dynamics of the growing tumour and immune response before being extended in the second model by introducing a time-varying dendritic cell-based treatment strategy. Finally, in the third model, we present a mathematical model of a growing tumour using a hybrid cellular automata. These models can provide information to pre-experimental work to assist in designing more effective and efficient laboratory experiments related to tumour growth and interactions with the immune system and immunotherapy.

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1,162 since deposited on 08 Jul 2013
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ID Code: 61133
Item Type: QUT Thesis (PhD)
Supervisor: Mallet, Dann & McCue, Scott
Keywords: tumour, immune, differential equation, cellular automata, optimal control, dendritic cells, natural killer cells, cytotoxic T cells
Divisions: Current > Institutes > Institute of Health and Biomedical Innovation
Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Institution: Queensland University of Technology
Deposited On: 08 Jul 2013 03:50
Last Modified: 08 Sep 2015 03:04

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