Mathematical Modeling of the Visual Cortex

视觉皮层的数学建模

• 批准号: 0308943
• 负责人: Gregor Kovacic
• 金额: $ 8.39万
• 依托单位: Rensselaer Polytechnic Institute
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-07-15 至 2005-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0308943&HistoricalAwards=false
• 关键词: Mathematical; Modeling; Visual; Cortex

This project concerns a mathematical description of how mammals process some of the most elementary characteristics of the visual scene, such as orientation and spatial frequency. This processing takes place in the primary visual cortex (V1). In particular, experiments, which measure the response of neurons in V1 of a macaque monkey observing a screen with a drifting, standing, or randomly-flashed sinusoidal grating, will be described and analyzed with the aid of a coarse-grained neuronal model of V1. This model is a nonlinear integral equation, whose properties will be studied analytically as well as computationally. The coarse-grained model incorporates vital anatomical information, including the architecture of the orientation- and spatial-frequency-preference neuronal maps of V1, the sizes and strengths of the cortico-cortical neuronal connections, and the detailed layout of the neural input into V1. The orientation andspatial-frequency tuning of V1 neurons as functions of time will be computed and compared with the experimental data, with an eye on determining which cortical achitecture better describes the true biology:feed-forward (which assumes no importance of the cortico-cortical interactions), or feed-back (which assumes that cortico-cortical interactions contribute crucially to the spatio-temporal evolution of theneuronal tuning curves). The work will be performed in collaboration with neuroscientist Robert Shapley and applied mathematicians David McLaughlin and Michael Shelley at New York University's Center for Neural Science, in the framework of a year-long visit by the PI, Gregor Kovacic.This IGMS project is jointly supported by the MPS Office of Multidisciplinary Activities (OMA) and the Division of Mathematical Sciences (DMS).

该项目涉及哺乳动物如何处理视觉场景中一些最基本特征的数学描述，例如方向和空间频率。 该处理发生在主要的视觉皮层（V1）中。 特别是，将借助于V1的粗粒细粒神经元模型来描述和分析实验，该实验测量了猕猴V1中神经元的响应，观察到具有漂移，站立或随机施加的正弦光栅的屏幕。 。 该模型是一个非线性积分方程，其属性将在分析和计算上进行研究。粗粒模型结合了重要的解剖信息，包括V1的方向和空间频率 - 偏见的神经元图的结构，Cortico-cortical神经元连接的大小和优势，以及在V1中的详细布局。 V1神经元作为时间功能的方向和空间频率调整将被计算并与实验数据进行比较，以确定确定哪种皮质成分更好地描述了真实的生物学：馈送前向前锋（假定皮层皮质的重要性不重要相互作用）或馈回（假设皮质皮质相互作用对旁神经元调节曲线的时空演化至关重要）。 这项工作将与神经科学家罗伯特·沙普利（Robert Shapley）以及纽约大学神经科学中心的应用数学家大卫·麦克劳克林（David McLaughlin）和迈克尔·雪莱由国会议员多学科活动办公室（OMA）和数学科学划分（DMS）。