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Mathematical and stochastic modelling of reaction-diffusion processes in the Wnt signalling pathway

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thesis
posted on 27.11.2019, 05:59 by JAMES CHARLES NICHOLAS CAVALLO
Reaction-diffusion processes in biological systems have been studied using a range of mathematical- and simulation-based approaches. In this thesis, novel techniques and algorithms are developed for reaction-diffusion processes based on Smoluchowski kinetics to simulate reversible reactions of any order. Simulating such reactions sheds light on the dynamics of Wnt signalling, an important biological process which regulates embryonic development, tissue homoeostasis, and diseases such as cancer. A detailed analysis into the fundamental dynamical properties of Wnt signalling helps explore the relationship between signalling mechanisms, protein binding affinities and the end product of cell fate.

History

Campus location

Australia

Principal supervisor

Mark Bruce Flegg

Additional supervisor 1

Jennifer Flegg

Year of Award

2019

Department, School or Centre

Mathematics

Course

Doctor of Philosophy

Degree Type

DOCTORATE