Universal scaling laws rule explosive growth inhuman cancers

Abstract

Most physical and other natural systems are complex entities composed of a large number of interacting individual elements. It is a surprising fact that they often obey the so-called scaling laws relating an observable quantity with a measure of the size of the system. Here we describe the discovery of universal superlinear metabolic scaling laws in human cancers. This dependence underpins increasing tumour aggressiveness, due to evolutionary dynamics, which leads to an explosive growth as the disease progresses. We validated this dynamic using longitudinal volumetric data of different histologies from large cohorts of cancer patients. To explain our observations we put forward increasingly complex biologically-inspired mathematical models that captured the key processes governing tumor growth. Our models predicted that the emergence of superlinear allometric scaling laws is an inherently three-dimensional phenomenon. Moreover, the scaling laws thereby identified allowed us to define a set of metabolic metrics with prognostic value, thus providing added clinical utility to the base findings.

References in corpus (6)

• Classical Mathematical Models for Description and Prediction of Experimental Tumor Growth
• Spatial model predicts dispersal and cell turnover cause reduced intra-tumor heterogeneity
• The model muddle: in search of tumour growth laws
• A tug-of-war between driver and passenger mutations in cancer and other adaptive processes
• The acceleration of evolutionary spread by long-range dispersal
• Evolutionary dynamics of tumor progression with random fitness values

Cited by in corpus (5)

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