Ángel Acosta Rojas, Esther Hernández-San Miguel, María Pérez-Cano, Gabriel F. Calvo, Lucía Zhu, Ana María García Vicente, Juan Belmonte-Beitia, Juan J. Jiménez, David Albillo, Philippe Schucht, Víctor M. Pérez-García, Pedro García-Gómez, Antonio Francisco Honguero Martínez, François M. Vallette, Manuel Valiente, Jesús J. Bosque, Álvaro Martínez, Julián Pérez-Beteta, David Molina-García, Youness Azimzade, Odelaisy León-Triana, Michael Murek, Pilar Sánchez-Gómez, Ana Ortiz de Mendivil, Rafael Hortigüela, Germán Andrés Jiménez Londoño, Estanislao Arana, Universidad de Castilla-La Mancha (UCLM), Spanish National Cancer Research Center (CNIO), Institute of Health Carlos III, University of Tehran, Sanchinarro University Hospita [HM Hospitales, Madrid], Apoptosis and Tumor Progression (CRCINA-ÉQUIPE 9), Centre de Recherche en Cancérologie et Immunologie Nantes-Angers (CRCINA), Institut National de la Santé et de la Recherche Médicale (INSERM)-Université de Nantes - UFR de Médecine et des Techniques Médicales (UFR MEDECINE), Université de Nantes (UN)-Université de Nantes (UN)-Centre hospitalier universitaire de Nantes (CHU Nantes)-Centre National de la Recherche Scientifique (CNRS)-Université d'Angers (UA)-Institut National de la Santé et de la Recherche Médicale (INSERM)-Université de Nantes - UFR de Médecine et des Techniques Médicales (UFR MEDECINE), Université de Nantes (UN)-Université de Nantes (UN)-Centre hospitalier universitaire de Nantes (CHU Nantes)-Centre National de la Recherche Scientifique (CNRS)-Université d'Angers (UA), Bern University Hospital [Berne] (Inselspital), MD Anderson Cancer Center [Madrid, Spain], Hospital General Universitario de Albacete, Hospital General Universitario de Ciudad Real [Ciudad Real, Spain], Fundación Instituto Valenciano de Oncología [Valencia, Spain], James S. McDonnell Foundation 21st Century Science Initiative in Mathematical and Complex Systems Approaches for Brain Cancer, European Regional Development Fund (ERDF/FEDER), Junta de Comunidades de Castilla-La Mancha, Ministerio de Economia y Competividad (MINECO), Bristol-Myers Squibb, Beug Foundation's Prize for Metastasis Research 2017, Fundacion Ramon Areces, Worldwide Cancer Research, H2020-FETOPEN, Fundacio La Marato de TV3, Clinic and Laboratory Integration Program CRI Award 2018, AECC Coordinated Translational Groups 2017, LAB AECC 2019, La Caixa INPhINIT Fellowship, La Caixa-Severo Ochoa International PhD Program Fellowship, European Molecular Biology Organization Young Investigators programme, Bernardo, Elizabeth, Universidad de Castilla-La Mancha = University of Castilla-La Mancha (UCLM), and Université d'Angers (UA)-Université de Nantes (UN)-Institut National de la Santé et de la Recherche Médicale (INSERM)-Centre National de la Recherche Scientifique (CNRS)-Centre hospitalier universitaire de Nantes (CHU Nantes)-Université d'Angers (UA)-Université de Nantes (UN)-Institut National de la Santé et de la Recherche Médicale (INSERM)-Centre National de la Recherche Scientifique (CNRS)-Centre hospitalier universitaire de Nantes (CHU Nantes)
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. This research has been supported by the James S. McDonnell Foundation 21st Century Science Initiative in Mathematical and Complex Systems Approaches for Brain Cancer (collaborative awards 220020560 and 220020450), Ministerio de Economia y Competitividad/FEDER, Spain (grant no. MTM2015-71200-R), Junta de Comunidades de Castilla-La Mancha (grant no. SBPLY/17/180501/000154). Research in the Brain Metastasis Group is supported by MINECO grant MINECO-Retos SAF2017-89643-R (M.V.), Bristol-Myers Squibb Melanoma Research Alliance Young Investigator Award 2017 (498103) (M.V.), Beug Foundation's Prize for Metastasis Research 2017 (M.V.), Fundacion Ramon Areces (CIVP19S8163) (M.V.), Worldwide Cancer Research (19-0177) (M.V.), H2020-FETOPEN (828972) (M.V.), Fundacio La Marato de tv3 (141), Clinic and Laboratory Integration Program CRI Award 2018 (54545) (M.V.), AECC Coordinated Translational Groups 2017 (GCTRA16015SEOA) (M.V.), LAB AECC 2019 (LABAE19002VALI) (M.V.), La Caixa INPhINIT Fellowship (LCF/BQ/IN17/11620028) (P.G.-G.), La Caixa-Severo Ochoa International PhD Program Fellowship (LCF/BQ/SO16/52270014) (L.Z.). M.V. is a member of the European Molecular Biology Organization Young Investigators programme (4053). We would like to acknowledge J. Cervera and J. C. Penalver from the IVO Foundation (Valencia, Spain). No