89 citations · 196 across the 28 of their papers we have counts for
28 papers
Control, bi-stability and preference for chaos in time-dependent vaccination campaign
Enrique C. Gabrick, Eduardo L. Brugnago, Ana L. R. de Moraes +6
In this work, effects of constant and time-dependent vaccination rates on the Susceptible-Exposed-Infected-Recovered-Susceptible (SEIRS) seasonal model are studied. Computing the L…
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…
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…
Fractal and Fractional SIS model for syphilis data
Enrique C. Gabrick, Elaheh Sayari, Diogo Leonai Marques de Souza +4
This work studies the SIS model extended by fractional and fractal derivatives. We obtain explicit solutions for the standard and fractal formulations; for the fractional case, we…
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…
Plastic neural network with transmission delays promotes equivalence between function and structure
P. R. Protachevicz, F. S. Borges, A. M. Batista +4
The brain is formed by cortical regions that are associated with different cognitive functions. Neurons within the same region are more likely to connect than neurons in distinct r…
Modeling and characterizing stochastic neurons based on in vitro voltage-dependent spike probability functions
Vinicius Lima, Rodrigo F. O. Pena, Renan O. Shimoura +6
Neurons in the nervous system are submitted to distinct sources of noise, such as ionic-channel and synaptic noise, which introduces variability in their responses to repeated pres…
Mathematical model of brain tumour growth with drug resistance
José Trobia, Kun Tian, Antonio Marcos Batista +9
Brain tumours are masses of abnormal cells that can grow in an uncontrolled way in the brain. There are different types of malignant brain tumours. Gliomas are malignant brain tumo…
Effects of drug resistance in the tumour-immune system with chemotherapy treatment
José Trobia, Enrique C Gabrick, Evandro G Seifert +10
Cancer is a term used to refer to a large set of diseases. The cancerous cells grow and divide and, as a result, they form tumours that grow in size. The immune system recognise th…
Influence of inhibitory synapses on the criticality of excitable neuronal networks
F S Borges, P R Protachevicz, V Santos +7
In this work, we study the dynamic range of a neuronal network of excitable neurons with excitatory and inhibitory synapses. We obtain an analytical expression for the critical poi…
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…
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…
Alterations in brain connectivity due to plasticity and synaptic delay
E. L. Lameu, E. E. N. Macau, F. S. Borges +6
Brain plasticity refers to brain's ability to change neuronal connections, as a result of environmental stimuli, new experiences, or damage. In this work, we study the effects of t…
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…
Spike timing-dependent plasticity induces non-trivial topology in the brain
Rafael R. Borges, Fernando S. Borges, Ewandson L. Lameu +5
We study the capacity of Hodgkin-Huxley neuron in a network to change temporarily or permanently their connections and behavior, the so called spike timing-dependent plasticity (ST…
Spikes Synchronization in Neural Networks with Synaptic Plasticity
Rafael R. Borges, Kelly C. Iarosz, Antonio M. Batista +3
In this paper, we investigated the neural spikes synchronisation in a neural network with synaptic plasticity and external perturbation. In the simulations the neural dynamics is d…