Mathematical insights into neuroendocrine transdifferentiation of human prostate cancer cells

Leo Turner, Andrew Burbanks, Marianna Cerasuolo*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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Abstract

Prostate cancer represents the second most common cancer diagnosed in men, and the fifth most common cause of death from cancer worldwide. In this paper we consider a nonlinear mathematical model exploring the role of neuroendocrine transdifferentiation in human prostate cancer cell dynamics. Sufficient conditions are given for both the biological relevance of the model's solutions and for the existence of its equilibria. By means of a suitable Liapunov functional the global asymptotic stability of the tumour-free equilibrium is proven, and through the use of sensitivity and bifurcation analyses we identify the parameters responsible for the occurrence of Hopf and saddle-node bifurcations. Numerical simulations are provided highlighting the behaviour discovered, and the results are discussed together with possible improvements to the model.
Original languageEnglish
Pages (from-to)884-913
Number of pages30
JournalNonlinear Analysis: Modelling and Control
Volume26
Issue number5
DOIs
Publication statusPublished - 1 Sep 2021

Keywords

  • prostate cancer
  • neuroendocrine transdifferentiation
  • mathematical model
  • sensitivity analysis
  • bifurcation

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