Undersampled Critical Branching Processes on Small-World and Random Networks Fail to Reproduce the Statistics of Spike Avalanches

The power-law size distributions obtained experimentally for neuronal avalanches are an important evidence of criticality in the brain. This evidence is supported by the fact that a critical branching process exhibits the same exponent t~3=2. Models at criticality have been employed to mimic avalanche propagation and explain the statistics observed experimentally. However, a crucial aspect of neuronal recordings has been almost completely neglected in the models: undersampling. While in a typical multielectrode array hundreds of neurons are recorded, in the same area of neuronal tissue tens of thousands of neurons can be found. Here we investigate the consequences of undersampling in models with three different topologies (two-dimensional, small-world and random network) and three different dynamical regimes (subcritical, critical and supercritical). We found that undersampling modifies avalanche size distributions, extinguishing the power laws observed in critical systems. Distributions from subcritical systems are also modified, but the shape of the undersampled distributions is more similar to that of a fully sampled system. Undersampled supercritical systems can recover the general characteristics of the fully sampled version, provided that enough neurons are measured. Undersampling in two-dimensional and small-world networks leads to similar effects, while the random network is insensitive to sampling density due to the lack of a well-defined neighborhood. We conjecture that neuronal avalanches recorded from local field potentials avoid undersampling effects due to the nature of this signal, but the same does not hold for spike avalanches. We conclude that undersampled branching-process-like models in these topologies fail to reproduce the statistics of spike avalanches.

Mens sana in corpore sano: compreensões de corpo, saúde e educação

This thesis proposes that the idea expressed in Juvenal s quotation Mens Sana in Corpore Sano, produced in the Ancient Greek-Roman civilization includes undestandings of body, heath and education that were reapropriated and reorganized by scientific and pedagogical theories in the XIX and XX centuries. These theories, especially the ones that received contributions from the biomedical sciences, have influenced Physical Education in the search of becoming a science. In order to realize this reapropriation, we have analyzed the transformations in the concepts of body, health and education produced in the area discourse, aiming at pointing out elements to the configuration of a theory that is being called Corpore Sano. The theory constitutes in possible systematization of scientific, philosophical and pedagogical concepts, and as such, an understanding of the scientific fundaments of Physical Education. The corpus of this analysis was composed by 148 articles that were published in Revista Brasileira de Ciências do Esporte digitalized in the period between 1979 and 2003 and selected according to theme: body, biology, physical activity, effort physiology and health. The analysis of the content and the referential interpretation allowed the combination of philosophical reflection with attention to the empiric field as a comprehensive dimension. Based on the corpus of the analysis it is possible to configure meta-arguments about the concepts of body, health and education in the scientific production of Physical Education. As a metaresearch. Our study did not intend to judge the analyzed production, but look for theoretical elements that may generate a reflection about the scientific rationality in Physical Education and developments in the pedagogical field and in body practices. Such a reflection might be recognized as a theory of the living body, susceptible to modifications and interrogations that are proper of knowledge and practices of Physical Education. It is a theory rejects the idea of the complete truth and holds the comprehension that the truth is built historically through relations among different kinds of knowledge and Physical Education practices

Undersampled Critical Branching Processes on Small-World and Random Networks Fail to Reproduce the Statistics of Spike Avalanches

The power-law size distributions obtained experimentally for neuronal avalanches are an important evidence of criticality in the brain. This evidence is supported by the fact that a critical branching process exhibits the same exponent t~3=2. Models at criticality have been employed to mimic avalanche propagation and explain the statistics observed experimentally. However, a crucial aspect of neuronal recordings has been almost completely neglected in the models: undersampling. While in a typical multielectrode array hundreds of neurons are recorded, in the same area of neuronal tissue tens of thousands of neurons can be found. Here we investigate the consequences of undersampling in models with three different topologies (two-dimensional, small-world and random network) and three different dynamical regimes (subcritical, critical and supercritical). We found that undersampling modifies avalanche size distributions, extinguishing the power laws observed in critical systems. Distributions from subcritical systems are also modified, but the shape of the undersampled distributions is more similar to that of a fully sampled system. Undersampled supercritical systems can recover the general characteristics of the fully sampled version, provided that enough neurons are measured. Undersampling in two-dimensional and small-world networks leads to similar effects, while the random network is insensitive to sampling density due to the lack of a well-defined neighborhood. We conjecture that neuronal avalanches recorded from local field potentials avoid undersampling effects due to the nature of this signal, but the same does not hold for spike avalanches. We conclude that undersampled branching-process-like models in these topologies fail to reproduce the statistics of spike avalanches.