วันอังคารที่ 24 มิถุนายน พ.ศ. 2557

Neuroscience: Pattern Recognition with Neural Networks Retinal ganglion cells, that is, the output cells of the retina, have concentric on-center or off-center receptive fields. The on-center receptive field consists of an excitatory circular region surrounded by an inhibitory annular region, while the off-center receptive field has the opposite structure. These cells are supposed to extract contrast components from patterns projected onto the retina. Photoreceptors and ganglion cells are not...
Psychology, Neurobiology and Modeling: The Science of Hebbian Reverberations This chapter discusses introspective considerations for the necessity of having attractors, which neuropsychology has termed as reverberations. There exist experimental evidences for reverberations and attractors exist and are observable in neurophysiology. Attractors that are observed neurophysiologically, which appear to be required for mental processing, are very informative both for describing the functioning of...
Neuroscience: Towards a Kinetic Theory of Cortical-like Neural Fields The kinetic theory of neural fields is based fundamentally on the description of electrical properties of single neurons and on some statistical hypotheses about their connecting network. This chapter discusses the basis of this theory and its main results. It discusses a basilar, minimal set of biological neural features, except those linked to neural plasticity. Such characteristics are utilized for the construction, through...
Neuroscience: Qualitative Overview of Population Neurodynamics The estimates of the number of neurons in a cubic millimeter of cortex range from 104 to 106 and from 103 to 105 for the number of synaptic connections on each dendritic tree. The typical sensory input for a conditioned stimulus is carried by a parallel array of an immeasurably large number of receptor axons and the motor outflow for a typical conditioned response, a fraction of a second later, is carried in parallel by an immeasurably...
Neuroscience:Noise and Chaos in Neural Systems This chapter discusses two questions (1) how to characterize the dendritic arborization patterns and what could be the mechanism of the generation of dendritic branching trees and (2) what can be the role of environmental noise in the ontogenetic formation of ordered cortical structures. The dendritic arborization can be classified based on (1) randomness versus regularity in regard to branching of the various dendritic segments, resulting in a continuous...
Neuroscience: Diffusion Models of Single Neurones' Activity This chapter presents a survey of one-dimensional stochastic diffusion models for the membrane potential of a single neuron, with emphasis on the probabilistic properties of the models and on the related first-passage-time (FPT) problems, namely, on the determination of the neuronal output. It discusses how the much celebrated Ornstein-Uhlenbeck (OU) neuronal model can be obtained as the limit of a Markov process with discrete state...
Neuroscience: Mechanisms Responsible for Epilepsy in Hippocampal Slices Predispose the Brain to Collective Oscillations About 90% of the neurons in the CA3 region are pyramidal cells, the principal neurons that supply CA3 output to other parts of the brain (including, in particular, the CA1 hippocampal region and the opposite CA3 region—there is one hippocampus in each cerebral hemisphere). Of particular relevance to epilepsy and probably to normal brain function is the fact that CA3 neurons...