Phase transitions in tumor growth: II prostate cancer cell lines

•Cancer is an open, complex, dynamic and self-organizing system.•Prostate cancer cell lines growth follows a Gompertz dynamics.•Prostate cancer cell lines exhibit a multifractal behavior.•The entropy production rate may be considered as a metastatic potential marker.

We propose a mechanism for prostate cancer cell lines growth, LNCaP and PC3 based on a Gompertz dynamics. This growth exhibits a multifractal behavior and a “second order” phase transition. Finally, it was found that the cellular line PC3 exhibits a higher value of entropy production rate compared to LNCaP, which is indicative of the robustness of PC3, over to LNCaP and may be a quantitative index of metastatic potential tumors.