activity
20122025
most citedA Brief History of Excitable Map-Based Neurons and Neural Networks

93 citations · 357 across the 15 of their papers we have counts for

collaborators

15 papers

q-bio.NC2025

Optimal rate-variance coding due to firing threshold adaptation near criticality

Mauricio Girardi-Schappo, Leonard Maler, André Longtin

Recurrently connected neuron populations play key roles in sensory perception and memory storage across various brain regions. While these populations are often assumed to encode i…

physics.bio-ph2024★ 2 cited

Devil's staircase inside shrimp-shaped regions reveals periodicity of plateau spikes and bursts

Luiz F. B. Caixeta, Matheus H. P. Gonçalves, M. H. R. Tragtenberg +1

Slow-fast dynamics are intrinsically related to complex phenomena and are responsible for many of the homeostatic dynamics that keep biological systems healthy functioning. We stud…

nlin.AO2024★ 3 cited

Optimal input reverberation and homeostatic self-organization towards the edge of synchronization

Sue L. Rhâmidda, Mauricio Girardi-Schappo, Osame Kinouchi

Transient or partial synchronization can be used to do computations, although a fully synchronized network is frequently related to epileptic seizures. Here, we propose a homeostat…

nlin.AO2021★ 13 cited

Homeostatic Criticality in Neuronal Networks

Gustavo Menesse, Bóris Marin, Mauricio Girardi-Schappo +1

In self-organized criticality (SOC) models, as well as in standard phase transitions, criticality is only present for vanishing external fields . Considering that this is…

physics.bio-ph2021★ 10 cited

Building a model of the brain: from detailed connectivity maps to network organization

Renan Oliveira Shimoura, Rodrigo F. O. Pena, Vinicius Lima +3

The field of computational modeling of the brain is advancing so rapidly that now it is possible to model large scale networks representing different brain regions with a high leve…

physics.data-an2021★ 14 cited

Granger causality in the frequency domain: derivation and applications

Vinicius Lima, Fernanda Jaiara Dellajustina, Renan O. Shimoura +4

Physicists are starting to work in areas where noisy signal analysis is required. In these fields, such as Economics, Neuroscience, and Physics, the notion of causality should be i…

q-bio.NC2020★ 52 cited

Subsampled directed-percolation models explain scaling relations experimentally observed in the brain

Tawan T. A. Carvalho, Antonio J. Fontenele, Mauricio Girardi-Schappo +6

Recent experimental results on spike avalanches measured in the urethane-anesthetized rat cortex have revealed scaling relations that indicate a phase transition at a specific leve…

nlin.AO2020★ 44 cited

Synaptic balance due to homeostatically self-organized quasicritical dynamics

Mauricio Girardi-Schappo, Ludmila Brochini, Ariadne A. Costa +2

Recent experiments suggested that homeostatic regulation of synaptic balance leads the visual system to recover and maintain a regime of power-law avalanches. Here we study an exci…

nlin.AO2019★ 7 cited

Comment on "Convergence towards asymptotic state in 1-D mappings: A scaling investigation"

Mauricio Girardi-Schappo, M. H. R. Tragtenberg

Nonequilibrium phase transitions are characterized by the so-called critical exponents, each of which is related to a different observable. Systems that share the same set of value…

nlin.AO2019★ 44 cited

Self-organized critical balanced networks: a unified framework

Mauricio Girardi-Schappo, Ludmila Brochini, Ariadne A. Costa +2

Asynchronous irregular (AI) and critical states are two competing frameworks proposed to explain spontaneous neuronal activity. Here, we propose a mean-field model with simple stoc…

physics.bio-ph2018★ 14 cited

Measuring neuronal avalanches in disordered systems with absorbing states

Mauricio Girardi-Schappo, Marcelo H. R. Tragtenberg

Power-law-shaped avalanche-size distributions are widely used to probe for critical behavior in many different systems, particularly in neural networks. The definition of avalanche…

q-bio.NC2015★ 8 cited

Information processing occurs via critical avalanches in a model of the primary visual cortex

G. S. Bortolotto, M. Girardi-Schappo, J. J. Gonsalves +2

We study a new biologically motivated model for the Macaque monkey primary visual cortex which presents power-law avalanches after a visual stimulus. The signal propagates through…

q-bio.NC2015★ 27 cited

Griffiths phase and long-range correlations in a biologically motivated V1 model

Mauricio Girardi-Schappo, Germano S. Bortolotto, Jheniffer J. Gonsalves +2

Activity in the brain propagates as waves of firing neurons, namely avalanches. These waves' size and duration distributions have been experimentally shown to display a stable powe…

q-bio.NC2013★ 93 cited

A Brief History of Excitable Map-Based Neurons and Neural Networks

M. Girardi-Schappo, M. H. R. Tragtenberg, O. Kinouchi

This review gives a short historical account of the excitable maps approach for modeling neurons and neuronal networks. Some early models, due to Pasemann (1993), Chialvo (1995) an…

cond-mat.dis-nn2012★ 26 cited

Critical Avalanches and Subsampling in Map-based Neural Networks

Mauricio Girardi-Schappo, Osame Kinouchi, Marcelo H. R. Tragtenberg

We investigate the synaptic noise as a novel mechanism for creating critical avalanches in the activity of neural networks. We model neurons and chemical synapses by dynamical maps…