89 citations · 246 across the 29 of their papers we have counts for
29 papers
When climate variables improve the dengue forecasting: a machine learning approach
Sidney T. da Silva, Enrique C. Gabrick, Paulo R. Protachevicz +4
Dengue is a viral vector-borne infectious disease that affects many countries worldwide, infecting around 390 million people per year. The main outbreaks occur in subtropical and t…
Spiral wave dynamics in a neuronal network model
Diogo L. M. Souza, Fernando S. Borges, Enrique C. Gabrick +8
Spiral waves are spatial-temporal patterns that can emerge in different systems as heart tissues, chemical oscillators, ecological networks and the brain. These waves have been ide…
Impact of periodic vaccination in SEIRS seasonal model
Enrique C. Gabrick, Eduardo L. Brugnago, Silvio L. T. de Souza +6
We study three different strategies of vaccination in a SEIRS (Susceptible--Exposed--Infected--Recovered--Susceptible) seasonal forced model, which are: () continuous vaccinatio…
Adaptive Exponential Integrate-and-Fire Model with Fractal Extension
Diogo L. M. Souza, Enrique C. Gabrick, Paulo R. Protachevicz +6
The description of neuronal activity has been of great importance in neuroscience. In this field, mathematical models are useful to describe the electrophysical behaviour of neuron…
Multistability and chaos in SEIRS epidemic model with a periodic time-dependent transmission rate
Eduardo L. Brugnago, Enrique C. Gabrick, Kelly C. Iarosz +4
In this work, we study the dynamics of a SEIRS epidemic model with a periodic time-dependent transmission rate. Emphasizing the influence of the seasonality frequency on the system…
Fractional dynamics and recurrence analysis in cancer model
Enrique C. Gabrick, Matheus R. Sales, Elaheh Sayari +8
In this work, we analyze the effects of fractional derivatives in the chaotic dynamics of a cancer model. We begin by studying the dynamics of a standard model, {\it i.e.}, with in…
Unpredictability in seasonal infectious diseases spread
Enrique C. Gabrick, Elaheh Sayari, Paulo R. Protachevicz +7
In this work, we study the unpredictability of seasonal infectious diseases considering a SEIRS model with seasonal forcing. To investigate the dynamical behaviour, we compute bifu…
Effect of two vaccine doses in the SEIR epidemic model using a stochastic cellular automaton
Enrique C. Gabrick, Paulo R. Protachevicz, Antonio M. Batista +6
In this work, to support decision making of immunisation strategies, we propose the inclusion of two vaccination doses in the SEIR model considering a stochastic cellular automaton…
The effect of time delay for synchronisation suppression in neuronal networks
Matheus Hansen, Paulo R. Protachevicz, Kelly C. Iarosz +3
We study the time delay in the synaptic conductance for suppression of spike synchronisation in a random network of Hodgkin Huxley neurons coupled by means of chemical synapses. In…
Simulation of deterministic compartmental models for infectious diseases dynamics
Antonio M Batista, Silvio L T Souza, Kelly C Iarosz +6
Infectious diseases are caused by pathogenic microorganisms and can spread through different ways. Mathematical models and computational simulation have been used extensively to in…
Influence of autapses on synchronisation in neural networks with chemical synapses
P. R. Protachevicz, K. C. Iarosz, I. L. Caldas +3
A great deal of research has been devoted on the investigation of neural dynamics in various network topologies. However, only a few studies have focused on the influence of autaps…
Noise induces continuous and noncontinuous transitions in neuronal interspike intervals range
P R Protachevicz, M S Santos, E G Seifert +11
Noise appears in the brain due to various sources, such as ionic channel fluctuations and synaptic events. They affect the activities of the brain and influence neuron action poten…
Short-term and spike-timing-dependent plasticities facilitate the formation of modular neural networks
Ewandson L. Lameu, Fernando S. Borges, Kelly C. Iarosz +4
The brain has the phenomenal ability to reorganize itself by forming new connections among neurons and by pruning others. The so-called neural or brain plasticity facilitates the m…
Network properties of healthy and Alzheimer's brains
José C. P. Coninck, Fabiano A. S. Ferrari, Adriane S. Reis +3
Small-world structures are often used to describe structural connections in the brain. In this work, we compare the structural connection of cortical areas of a healthy brain and a…
Dragon-kings death in nonlinear wave interactions
Moises S. Santos, José D. Szezech, Antonio M. Batista +3
Extreme events are characterised by low probabilities and high impact on the systems. As a consequence, it is possible to find many studies about the predictability and suppression…
Spike-burst chimera states in an adaptive exponential integrate-and-fire neuronal network
Moises S. Santos, Paulo R. Protachevicz, Kelly C. Iarosz +7
Chimera states are spatiotemporal patterns in which coherence and incoherence coexist. We observe the coexistence of synchronous (coherent) and desynchronous (incoherent) domains i…
Bistable firing pattern in a neural network model
P. R. Protachevicz, F. S. Borges, E. L. Lameu +10
Excessively high, neural synchronisation has been associated with epileptic seizures, one of the most common brain diseases worldwide. A better understanding of neural synchronisat…
Self-sustained activity of low firing rate in balanced networks
Fernando Borges, Paulo Protachevicz, Rodrigo Pena +10
Self-sustained activity in the brain is observed in the absence of external stimuli and contributes to signal propagation, neural coding, and dynamic stability. It also plays an im…
Inference of topology and the nature of synapses, and the flow of information in neuronal networks
F. S. Borges, E. L. Lameu, K. C. Iarosz +6
The characterisation of neuronal connectivity is one of the most important matters in neuroscience. In this work, we show that a recently proposed informational quantity, the causa…
How synapses can enhance sensibility of a neural network
P. R. Protachevicz, F. S. Borges, K. C. Iarosz +6
In this work, we study the dynamic range in a neuronal network modelled by cellular automaton. We consider deterministic and non-deterministic rules to simulate electrical and chem…
Synaptic Plasticity and Spike Synchronisation in Neuronal Networks
Rafael R. Borges, Fernando S. Borges, Ewandson L. Lameu +8
Brain plasticity, also known as neuroplasticity, is a fundamental mechanism of neuronal adaptation in response to changes in the environment or due to brain injury. In this review,…
Chimera in a neuronal network model of the cat brain
M. S. Santos, J. D. Szezech, F. S. Borges +5
Neuronal systems have been modeled by complex networks in different description levels. Recently, it has been verified that networks can simultaneously exhibit one coherent and oth…
Synchronised firing patterns in a random network of adaptive exponential integrate-and-fire
Fernando da Silva Borges, Paulo Ricardo Protachevicz, Ewandson Luiz Lameu +5
We have studied neuronal synchronisation in a random network of adaptive exponential integrate-and-fire neurons. We study how spiking or bursting synchronous behaviour appears as a…
Suppression of neuronal phase synchronisation in cat cerebral cortex
Ewandson L. Lameu, Fernando S. Borges, Rafael R. Borges +5
We have studied effects of perturbations on the cat cerebral cortex. According to the literature, this cortex structure can be described by a clustered network. This way, we constr…