Universal scaling laws rule explosive growth inhuman cancers
V\'ictor M. P\'erez-Garc\'ia, Gabriel F. Calvo, Jes\'us J. Bosque,, Odelaisy Le\'on-Triana, Juan Jim\'enez, Juli\'an P\'erez-Beteta, Juan, Belmonte-Beitia, Manuel Valiente, Luc\'ia Zhu, Pedro Garc\'ia-G\'omez, Pilar, S\'anchez-G\'omez, Esther Hern\'andez-San Miguel

TL;DR
This paper uncovers universal superlinear metabolic scaling laws in human cancers, linking tumor growth to increased aggressiveness and providing new prognostic metrics validated across large patient cohorts.
Contribution
It reveals a novel universal scaling law in human cancers and develops biologically-inspired models explaining its emergence and clinical relevance.
Findings
Discovered superlinear metabolic scaling in tumors
Validated scaling laws with patient data
Developed models predicting tumor growth dynamics
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…
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