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University of Dundee

Mathematical Modelling of the Immune Response to Cancer

Abstract

dc:description.abstract

The immune system’s vitality and function is of the upmost importance in the human body. The ingenuity and performance of this defence mechanism also plays a role in the prevention of mutated, transformed cells becoming malig- nant tumours (cancers). More recently, the subject of cancer immunology has been concerned with examining the local effects the immune system has on a pre-angiogenic tumour site. A recent immunological review article - “The Three Es of Cancer Immunoediting” - discusses the way the immune system interacts with cancer cells: elimination, equilibrium, and escape. This bio- logical explanation underpins the mathematical modelling in this PhD thesis where mathematical models of pre-angiogenic immune-tumour interactions are presented and analysed. Chapter two develops an individual-based model of immune-cancer cell interactions using the computational simulation plat- form, CompuCell3D, to extend an earlier spatio-temporal model of tumour dormancy (Matzavinos et al. [2004]). Chapter three investigates and analyses an ODE model of the interaction of two immune cells and two tumour cells. This model is extended to include spatial movement terms for the tumour and immune cells (in both one and two dimensions) and investigates the rich heterogeneous spatio-temporal dynamics of the system in the presence of a limit cycle in the reaction kinetics. Finally, chapter four extends the models in the previous two chapters by examining an individual based model of two immune cell populations interacting with two tumour cell populations.

Degree

thesis:*
Name dc:type.qualificationname
Doctor of Philosophy
Level dc:type.qualificationlevel
Doctoral Thesis
Grantor dc:publisher.institution
University of Dundee
Year dc:date.issued
2017

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Tough, Iona Kirsten
Advisor dc:contributor.advisor
  • Eftimie, Raluca

Subjects

dc:subject × 3

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
oai:discovery.dundee.ac.uk:studenttheses/15b9aa4f-f2b3-44bc-90a6-31cfb6470b90
OAI identifier oai:identifier
oai:discovery.dundee.ac.uk:studenttheses/15b9aa4f-f2b3-44bc-90a6-31cfb6470b90

Chain of custody

source
Harvested from
University of Dundee
Base URL
discovery.dundee.ac.uk/ws/oai
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Tough, Iona Kirsten. Mathematical Modelling of the Immune Response to Cancer. Doctoral Thesis thesis, University of Dundee, 2017. https://discovery.dundee.ac.uk/en/studentTheses/15b9aa4f-f2b3-44bc-90a6-31cfb6470b90