Programmable models of growth and mutation of cancer-cell populations
Luca Bortolussi (Dept. of Mathematics, Informatics, University of, Trieste, Italy.), Alberto Policriti (Dept. of Mathematics, Informatics,, University of Udine, Italy. Institute of Applied Genomics, Udine, Italy.)

TL;DR
This paper introduces a systematic stochastic modeling approach using Concurrent Constraint Programming to describe cancer-cell population growth and mutation, demonstrated through prostate cancer development and treatment interactions.
Contribution
It presents a novel methodology for constructing detailed mathematical models of cancer progression and therapy interactions using stochastic programming techniques.
Findings
Successfully reconstructs prostate cancer growth models
Demonstrates modeling of hormone therapy interactions
Shows flexibility of the proposed stochastic approach
Abstract
In this paper we propose a systematic approach to construct mathematical models describing populations of cancer-cells at different stages of disease development. The methodology we propose is based on stochastic Concurrent Constraint Programming, a flexible stochastic modelling language. The methodology is tested on (and partially motivated by) the study of prostate cancer. In particular, we prove how our method is suitable to systematically reconstruct different mathematical models of prostate cancer growth - together with interactions with different kinds of hormone therapy - at different levels of refinement.
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