Stochastic fluctuation induced the competition between extinction and recurrence in a model of tumor growth

Dongxi Li, Wei Xu, Chunyan Sun, Liang Wang

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

We investigate the phenomenon that stochastic fluctuation induced the competition between tumor extinction and recurrence in the model of tumor growth derived from the catalytic Michaelis-Menten reaction. We analyze the probability transitions between the extinction state and the state of the stable tumor by the Mean First Extinction Time (MFET) and Mean First Return Time (MFRT). It is found that the positional fluctuations hinder the transition, but the environmental fluctuations, to a certain level, facilitate the tumor extinction. The observed behavior could be used as prior information for the treatment of cancer.

Original languageEnglish
Pages (from-to)1771-1776
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume376
Issue number22
DOIs
StatePublished - 30 Apr 2012

Keywords

  • Model of tumor growth
  • Stochastic fluctuation
  • Tumor extinction
  • Tumor recurrence

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