Abstract
We present a numerical scheme used to investigate a mathematical model of tumor growth which incorporates multiple disparate timescales. We simulate the model with different initial data. The initial conditions explored herein correspond to a small remnant of tumor tissue left after surgical resection. Our results indicate that tumor regrowth begins at the pre-surgery tumor-healthy tissue interface and penetrates back into the original tumor area. This growth is rate-limited by the reformation of the tumor vascular network.
Original language | American English |
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Pages (from-to) | 43-56 |
Number of pages | 14 |
Journal | Mathematical Modelling and Analysis |
Volume | 14 |
Issue number | 1 |
DOIs | |
State | Published - 31 Mar 2009 |
Keywords
- Mathematical models
- Numerical methods
- Theoretical oncology
EGS Disciplines
- Mathematics