Nonlinear simulation of tumor growth and chemotherapy

We implement numerically a model for free boundary necrotic and non-necrotic tumor growth and chemotherapy, where the tumor-healthy tissue interface is a moving deformable boundary. In the process, we improve upon existing techniques and develop new finite difference and ghost fluid / level set methods to attain full second-order accuracy for the first time in the context of afully-coupled, nonlinear moving boundary problem. Our new methods include a robust boundarycondition-capturing Poisson solver, improved discretizations of the normal vector and curvature, anew technique for extending variables beyond the zero level set, and a new application of Gaussianfilter technology ordinarily associated with image processing. We conduct some parameter studies on 2D necrotic and non-necrotic tumor growth with and without chemotherapy, and we conclude with a 2D simulation of tumor breakup while undergoing chemotherapy.

Name dc:type.qualificationname

Master of Science

Level dc:type.qualificationlevel

Master's Thesis

Grantor dc:publisher.institution

University of Minnesota Twin Cities

Year dc:date.issued

2003

Author dc:creator

• Macklin, Paul

Advisor dc:contributor.advisor

• Lowengrub, John S.

• Tumour growth
• Chemotherapy

Language dc:language

eng

Identifier

oai:discovery.dundee.ac.uk:studenttheses/81baf877-f5ff-4a49-9d1b-4b6ea4445fe0

OAI identifier oai:identifier

oai:discovery.dundee.ac.uk:studenttheses/81baf877-f5ff-4a49-9d1b-4b6ea4445fe0