Cancer is a widely spread disease that affects a large proportion of the human popula- tion, and many research teams are developing algorithms to help medics to understand this disease. In particular, tumor growth has been studied from different viewpoints and several mathematical models have been proposed. In this paper, we review a set of com- prehensive and modern tools that are useful for prediction of cancer growth in space and time. We comment on three alternative approaches. We rst consider spatio-temporal stochastic processes within a Bayesian framework to model spatial heterogeneity, tempo- ral dependence and spatio-temporal interactions amongst the pixels, providing a general modeling framework for such dynamics. We then consider predictions based on geo- metric properties of plane curves and vectors, and propose two methods of geometric prediction. Finally we focus on functional data analysis to statistically compare tumor contour evolutions. We also analyze real data on brain tumor.

On some descriptive and predictive methods for the dynamics of cancer growth

ROMANO, Elvira
2015

Abstract

Cancer is a widely spread disease that affects a large proportion of the human popula- tion, and many research teams are developing algorithms to help medics to understand this disease. In particular, tumor growth has been studied from different viewpoints and several mathematical models have been proposed. In this paper, we review a set of com- prehensive and modern tools that are useful for prediction of cancer growth in space and time. We comment on three alternative approaches. We rst consider spatio-temporal stochastic processes within a Bayesian framework to model spatial heterogeneity, tempo- ral dependence and spatio-temporal interactions amongst the pixels, providing a general modeling framework for such dynamics. We then consider predictions based on geo- metric properties of plane curves and vectors, and propose two methods of geometric prediction. Finally we focus on functional data analysis to statistically compare tumor contour evolutions. We also analyze real data on brain tumor.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11591/348741
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