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Brain is one of the most energy demanding organs in mammals, and its total metabolic rate scales with brain volume raised to a power of around 5/6. This value is significantly higher than the more common exponent 3/4 relating whole body…

Neurons and Cognition · Quantitative Biology 2011-11-16 Jan Karbowski

Mammalian brains span about 4 orders of magnitude in cortical volume and have to operate in different environments that require diverse behavioral skills. Despite these geometric and behavioral diversities, the examination of cerebral…

Neurons and Cognition · Quantitative Biology 2014-05-19 Jan Karbowski

During mammalian development the cerebral metabolic rate correlates qualitatively with synaptogenesis, and both often exhibit bimodal temporal profiles. Despite these non-monotonic dependencies, it is found based on empirical data for…

Neurons and Cognition · Quantitative Biology 2012-04-19 Jan Karbowski

The cerebrum of mammals spans a vast range of sizes and yet has a very regular structure. The amount of folding of the cortical surface and the proportion of white matter gradually increase with size, but the underlying mechanisms remain…

Neurons and Cognition · Quantitative Biology 2022-06-14 Marc H. E. de Lussanet

The origin and shape of metabolic scaling has been controversial since Kleiber found that basal metabolic rate of animals seemed to vary as a power law of their body mass with exponent 3/4, instead of 2/3, as a surface-to-volume argument…

Allometric scaling is one of the most pervasive laws in biology. Its origin, however, is still a matter of dispute. Recent studies have established that maximum metabolic rate scales with an exponent larger than that found for basal…

Biological Physics · Physics 2007-05-23 Lauro A. Barbosa , Guilherme J. M. Garcia , Jafferson K. L. da Silva

We extend a previously theory for the interspecific allometric scaling developed in a $d+1$-dimensional space of metabolic states. The time, which is characteristic of all biological processes, is included as an extra dimension to $d$…

Biological Physics · Physics 2008-02-12 Jafferson K. L. da Silva , Lauro A. Barbosa

The origin of allometric scaling of metabolic rate is a long-standing question in biology. Several models have been proposed for explaining the origin; however, they have advantages and disadvantages. In particular, previous models only…

Other Quantitative Biology · Quantitative Biology 2015-02-23 Kazuhiro Takemoto

The degrees of freedom of multi-compartment mathematical models for energy metabolism of a neuron-astrocyte complex may offer a key to understand the different ways in which the energetic needs of the brain are met. In this paper we address…

Quantitative Methods · Quantitative Biology 2014-12-19 Daniela Calvetti , Yougan Cheng , Erkki Somersalo

The prevailing theory for metabolic scaling is based on area-preserved, space-filling fractal vascular networks. However, it's known both theoretically and experimentally that animals' vascular systems obey Murray's cubic branching law.…

Quantitative Methods · Quantitative Biology 2022-05-31 Jinkui Zhao

Recently, West et al. claimed to derive a general quantitative model based on fundamental principles for the allocation of metabolic energy between maintenance of existing tissue and the production of new biomass, and in addition claimed to…

Condensed Matter · Physics 2007-05-23 Jayanth R. Banavar , John Damuth , Amos Maritan , Andrea Rinaldo

Metabolic scaling is one of the most important patterns in biology. Theory explaining the 3/4-power size-scaling of biological metabolic rate does not predict the non-linear scaling observed for smaller life forms. Here we present a new…

Biological Physics · Physics 2024-03-04 Mark E. Ritchie , Christopher P. Kempes

Living systems continuously transform matter and energy through the chemical processes that constitute their metabolism. The overall metabolic rate of an organism correlates positively with its body mass, however both the exact scaling…

Soft Condensed Matter · Physics 2026-03-19 Efe Ilker , Michael Hinczewski , Xingbo Yang , Frank Jülicher

It is shown that a Hopfield recurrent neural network exhibits a scaling regime, whose specific exponents depend on the number of parcels used and the decay length of the coupling strength. This scaling regime recovers the picture introduced…

Disordered Systems and Neural Networks · Physics 2025-02-17 Giorgio Gosti , Sauro Succi , Giancarlo Ruocco

Background: We have previously demonstrated that cortical folding across mammalian species follows a universal scaling law that can be derived from a simple theoretical model. The same scaling law has also been shown to hold across brains…

Neurons and Cognition · Quantitative Biology 2020-06-01 Yujiang Wang , Joe Necus , Luis Peraza Rodriguez , Peter Neal Taylor , Bruno Mota

This paper investigates the role of size in biological organisms. More specifically, how the energy demand, expressed by the metabolic rate, changes according to the mass of an organism. Empirical evidence suggests a power-law relation…

Other Quantitative Biology · Quantitative Biology 2021-05-05 Fabiano L. Ribeiro , William R. L. S. Pereira

Recent cellular-level volumetric brain reconstructions have revealed high levels of anatomic complexity. Determining which structural aspects of the brain to focus on, especially when comparing with computational models and other organisms,…

Disordered Systems and Neural Networks · Physics 2023-09-29 Helen S. Ansell , István A. Kovács

The different active roles of neurons and astrocytes during neuronal activation are associated with the metabolic processes necessary to supply the energy needed for their respective tasks at rest and during neuronal activation. Metabolism,…

Tissues and Organs · Quantitative Biology 2022-11-07 Gideon Idumah , Erkki Somersalo , Daniela Calvetti

Allometric scaling laws, such as Kleiber's law for metabolic rate, highlight how efficiency emerges with size across living systems. The brain, with its characteristic sublinear scaling of activity, has long posed a puzzle: why do larger…

Neurons and Cognition · Quantitative Biology 2026-05-26 Tiago S. A. N. Simões , José S. Andrade , Hans J. Herrmann , Stefano Zapperi , Lucilla de Arcangelis

The energetics of cerebral activity critically relies on the functional and metabolic interactions between neurons and astrocytes. Important open questions include the relation between neuronal versus astrocytic energy demand, glucose…

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