RESUMO
Neurons transmit information as action potentials or spikes. Due to the inherent randomness of the inter-spike intervals (ISIs), probabilistic models are often used for their description. Cumulative damage (CD) distributions are a family of probabilistic models that has been widely considered for describing time-related cumulative processes. This family allows us to consider certain deterministic principles for modeling ISIs from a probabilistic viewpoint and to link its parameters to values with biological interpretation. The CD family includes the Birnbaum-Saunders and inverse Gaussian distributions, which possess distinctive properties and theoretical arguments useful for ISI description. We expand the use of CD distributions to the modeling of neural spiking behavior, mainly by testing the suitability of the Birnbaum-Saunders distribution, which has not been studied in the setting of neural activity. We validate this expansion with original experimental and simulated electrophysiological data.
Assuntos
Potenciais de Ação/fisiologia , Modelos Neurológicos , Neurônios/fisiologia , Animais , Simulação por Computador , Feminino , Humanos , Masculino , Distribuição NormalRESUMO
We study the global dynamics of integrate and fire neural networks composed of an arbitrary number of identical neurons interacting by inhibition and excitation. We prove that if the interactions are strong enough, then the support of the stable asymptotic dynamics consists of limit cycles. We also find sufficient conditions for the synchronization of networks containing excitatory neurons. The proofs are based on the analysis of the equivalent dynamics of a piecewise continuous Poincaré map associated to the system. We show that for efficient interactions the Poincaré map is piecewise contractive. Using this contraction property, we prove that there exist a countable number of limit cycles attracting all the orbits dropping into the stable subset of the phase space. This result applies not only to the Poincaré map under study, but also to a wide class of general n-dimensional piecewise contractive maps.
Assuntos
Modelos Neurológicos , Rede Nervosa , Neurônios/fisiologia , Humanos , Potenciais da Membrana/fisiologiaRESUMO
Este libro se dedica íntegramente al tema del lenguaje, desde su desarrollo en la primera infancia, pasando por los desórdenes o trastornos que se pueden producir hasta el lenguaje escrito
RESUMO
Este libro se dedica íntegramente al tema del lenguaje, desde su desarrollo en la primera infancia, pasando por los desórdenes o trastornos que se pueden producir hasta el lenguaje escrito
RESUMO
Esta obra abarca distintas problemáticas vinculadas con la teoría de la comunicación y el lenguaje: las lenguas, la adquisición del lenguaje por el niño, los trastornos del lenguaje, funciones secundarias del lenguaje, representaciones gráficas del lenguaje
RESUMO
Esta obra abarca distintas problemáticas vinculadas con la teoría de la comunicación y el lenguaje: las lenguas, la adquisición del lenguaje por el niño, los trastornos del lenguaje, funciones secundarias del lenguaje, representaciones gráficas del lenguaje