Global dynamics of a model of joint hormone treatment with dendritic cell vaccine for prostate cancer

Erica M. Rutter, Yang Kuang

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

Advanced prostate cancer is often treated by androgen deprivation therapy, which is initially effective but gives rise to fatal treatment-resistant cancer. Intermittent androgen deprivation therapy improves the quality of life of patients and may delay resistance towards treatment. Immunotherapy alters the bodies immune system to help fight cancer and has proven effective in certain types of cancer. We propose a model incorporating androgen deprivation therapy (intermittent and continual) in conjunction with dendritic cell vaccine immunotherapy. Simulations are run to determine the sensitivity of cancer growth to dendritic cell vaccine therapy administration schedule. We consider the limiting case where dendritic cells are administered continuously and perform analysis on the full model and the limiting cases of the model to determine necessary conditions for global stability of cancer eradication.

Original languageEnglish (US)
Pages (from-to)1001-1021
Number of pages21
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume22
Issue number3
DOIs
StatePublished - May 2017

Keywords

  • Androgen deprivation therapy
  • Dendritic cell vaccine
  • Immunotherapy
  • Mathematical modeling
  • Prostate cancer

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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