Thesis_Gopikrishnan_CR_final.pdf (8.15 MB)
Download file

Modelling and numerical analysis of complex tumour models

Download (8.15 MB)
thesis
posted on 23.06.2021, 02:29 by Gopikrishnan C R
Avascular tumour growth is the initial stage of cancer development, wherein the tumour tissue is devoid of any blood vessels. This thesis develops mathematical models of several variants of avascular tumour growth, such as in living tissues or in a controlled laboratory setting; designs numerical schemes; and conducts rigorous mathematical analysis. Many classical difficulties associated with the mathematical study of tumour growth, such as the time-dependent boundary and computationally expensive numerical schemes, are addressed in this thesis. Along with this, several mathematical results are also derived that have applications in related problems.

History

Campus location

Australia

Principal supervisor

Jerome Droniou

Additional supervisor 1

Neela Nataraj

Year of Award

2021

Department, School or Centre

Mathematics

Additional Institution or Organisation

Indian Institute of Technology Bombay

Course

Doctor of Philosophy (IITB-Monash)

Degree Type

DOCTORATE

Faculty

Faculty of Science