Responses of Leaky Integrate-and-Fire Neurons to a Plurality of Stimuli in Their Receptive Fields.

IF 2.3 4区 医学 Q1 Neuroscience
Journal of Mathematical Neuroscience Pub Date : 2016-12-01 Epub Date: 2016-05-23 DOI:10.1186/s13408-016-0040-2
Kang Li, Claus Bundesen, Susanne Ditlevsen
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引用次数: 3

Abstract

A fundamental question concerning the way the visual world is represented in our brain is how a cortical cell responds when its classical receptive field contains a plurality of stimuli. Two opposing models have been proposed. In the response-averaging model, the neuron responds with a weighted average of all individual stimuli. By contrast, in the probability-mixing model, the cell responds to a plurality of stimuli as if only one of the stimuli were present. Here we apply the probability-mixing and the response-averaging model to leaky integrate-and-fire neurons, to describe neuronal behavior based on observed spike trains. We first estimate the parameters of either model using numerical methods, and then test which model is most likely to have generated the observed data. Results show that the parameters can be successfully estimated and the two models are distinguishable using model selection.

Abstract Image

Abstract Image

Abstract Image

漏性整合-放电神经元对其感受野中多种刺激的反应。
关于视觉世界如何在我们的大脑中呈现的一个基本问题是,当皮质细胞的经典接受野包含多种刺激时,它是如何反应的。人们提出了两种相反的模型。在反应平均模型中,神经元对所有个体刺激的加权平均作出反应。相比之下,在概率混合模型中,细胞对多个刺激作出反应,就好像只有一个刺激存在一样。在这里,我们将概率混合和响应平均模型应用于泄漏的整合和激活神经元,以描述基于观察到的尖峰序列的神经元行为。我们首先用数值方法估计两个模型的参数,然后测试哪个模型最有可能产生观测到的数据。结果表明,采用模型选择方法可以很好地估计出两种模型的参数,并且可以区分两种模型。
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来源期刊
Journal of Mathematical Neuroscience
Journal of Mathematical Neuroscience Neuroscience-Neuroscience (miscellaneous)
自引率
0.00%
发文量
0
审稿时长
13 weeks
期刊介绍: The Journal of Mathematical Neuroscience (JMN) publishes research articles on the mathematical modeling and analysis of all areas of neuroscience, i.e., the study of the nervous system and its dysfunctions. The focus is on using mathematics as the primary tool for elucidating the fundamental mechanisms responsible for experimentally observed behaviours in neuroscience at all relevant scales, from the molecular world to that of cognition. The aim is to publish work that uses advanced mathematical techniques to illuminate these questions. It publishes full length original papers, rapid communications and review articles. Papers that combine theoretical results supported by convincing numerical experiments are especially encouraged. Papers that introduce and help develop those new pieces of mathematical theory which are likely to be relevant to future studies of the nervous system in general and the human brain in particular are also welcome.
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