Mathematical insights into neuroendocrine transdifferentiation of human prostate cancer cells

Prostate cancer represents the second most common diagnosed in men and fifth cause of death from worldwide. In this paper, we consider a nonlinear mathematical model exploring role neuroendocrine transdifferentiation human prostate cell dynamics. Sufficient conditions are given for both biological relevance model’s solutions existence its equilibria. By means suitable Liapunov functional global asymptotic stability tumour-free equilibrium is proven, through use sensitivity bifurcation analyses identify parameters responsible occurrence Hopf saddle-node bifurcations. Numerical simulations provided highlighting behaviour discovered, results discussed together with possible improvements to model.