Thursday, December 18, 2014

Phase transitions in tumor growth: II prostate cancer cell lines

Phase transitions in tumor growth: II prostate cancer cell lines

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Wednesday, December 10, 2014

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

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

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 

Wednesday, December 3, 2014

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

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

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