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Numerical Solution of a Model for Brain Cancer Progression After Therapy

  • Z. Jackiewicz
  • , Y. Kuang
  • , C. Thalhauser
  • , B. Zubik-Kowal
  • Arizona State University
  • AGH University of Krakow

Research output: Contribution to journalArticlepeer-review

4 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 languageAmerican English
Pages (from-to)43-56
Number of pages14
JournalMathematical Modelling and Analysis
Volume14
Issue number1
DOIs
StatePublished - 31 Mar 2009

Keywords

  • Mathematical models
  • Numerical methods
  • Theoretical oncology

EGS Disciplines

  • Mathematics

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