Numerical solution of a model for brain cancer progression after therapy

Zdzislaw Jackiewicz, Yang Kuang, C. Thalhauser, B. Zubik-Kowal

Research output: Contribution to journalArticle

3 Scopus citations

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 languageEnglish (US)
Pages (from-to)43-56
Number of pages14
JournalMathematical Modelling and Analysis
Volume14
Issue number1
DOIs
StatePublished - Dec 1 2009

Keywords

  • Mathematical models
  • Numerical methods
  • Theoretical oncology

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation

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