Phase transitions in tumor growth: II prostate cancer cell lines

José Llanos Pérez, Juvencio A Betancourt Mar, María P De Miguel, Elena Izquierdo Kulich, Mar Royuela García, Eduardo Tejera, José M Nieto Villar

doi: http://dx.doi.org/10.1101/011189

We propose a mechanism for prostate cancer cell lines growth, e.g., 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 the 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.

Link to bR: http://biorxiv.org/content/early/2014/11/06/011189 

 

A Stochastic Model for the Normal Tissue Complication Probability (NTCP) in Radiation Treatment of Cancer

Theresa Stocks, Thomas Hillen, Jiafen Gong, Martin Burger

(Submitted on 10 Dec 2014)

The normal tissue complication probability (NTCP) is a measure for the estimated side effects of a given radiation treatment schedule. Here we use a stochastic logistic birth death process to define an organ specific and patient specific NTCP. We emphasise an asymptotic simplification which relates the NTCP to the solution of a logistic differential equation. This framework allows for a direct use of the NTCP model in clinical practice. We formulate, but do not solve, related optimization problems.

link: http://arxiv.org/abs/1412.3441 

Model for Acid-Mediated Tumour Invasion with Chemotherapy Intervention I: Homogeneous Populations

Andrew B. Holder, Marianito R. Rodrigo

(Submitted on 2 Dec 2014)

The acid-mediation hypothesis, that is, the hypothesis that acid produced by tumours, as a result of aerobic glycolysis, provides a mechanism for invasion, has so far been considered as a relatively closed system. The focus has mainly been on the dynamics of the tumour, normal-tissue, acid and possibly some other bodily components, without considering the effect of an external intervention such as a cytotoxic treatment. This article aims to examine the effect that a cytotoxic treatment has on a tumour growing under the acid-mediation hypothesis by using a simple set of ordinary differential equations that consider the interaction between normal-tissue, tumour-tissue, acid and chemotherapy drug.

link: http://arxiv.org/abs/1412.0748