碰撞吸引子路径积分模型中的感觉反馈
Sensory feedback in a bump attractor model of path integration
摘要：
哺乳动物的空间导航系统利用几种不同的感觉信息通道。然后，这些信息被转换成神经代码，通过接合位置细胞、网格细胞和头部方向细胞网络来表示动物在空间中的当前位置。特别是，感官地标（异感）线索可以与动物对自己的速度（独特）线索的了解相结合，以产生比（独特）路径整合本身提供的更准确的位置表示（Battaglia等人，2004）。我们开发了一个计算模型，合并路径整合与外部感官线索，提供了一个可靠的表示空间位置沿环形轨道的信息。从一个连续的凹凸吸引子模型开始，我们允许突触空间异质性的可能性，这将打破空间的平移对称性。我们使用渐近分析，以减少凹凸吸引模型的一个单一的标量方程，其潜力代表异质性的影响。当网络执行路径整合时，这种异质性会导致错误的建立，但这些错误可以通过代表感官提示效果的外部控制信号来纠正。我们证明，有一个最佳的强度和衰减率的控制信号时，线索都定期和随机放置。当动态噪声波动引起路径积分中的误差时，进行类似的分析。同样，存在使路径积分误差最小化的离散控制的最佳强度和衰减。
英文摘要：
The mammalian spatial navigation system makes use of several different sensory information channels. This information is then converted into a neural code that represents the animal's current position in space by engaging place cell, grid cell, and head direction cell networks. In particular, sensory landmark (allothetic) cues can be utilized in concert with an animal's knowledge of its own velocity (idiothetic) cues to generate a more accurate representation of position than (idiothetic) path integration provides on its own (Battaglia et al, 2004). We develop a computational model that merges path integration with information from external sensory cues that provide a reliable representation of spatial position along an annular track. Starting with a continuous bump attractor model, we allow for the possibility of synaptic spatial heterogeneity that would break the translation symmetry of space. We use asymptotic analysis to reduce the bump attractor model to a single scalar equation whose potential represents the impact of heterogeneity. Such heterogeneity causes errors to build up when the network performs path integration, but these errors can be corrected by an external control signal representing the effects of sensory cues. We demonstrate that there is an optimal strength and decay rate of the control signal when cues are placed both periodically and randomly. A similar analysis is performed when errors in path integration arise from dynamic noise fluctuations. Again, there is an optimal strength and decay of discrete control that minimizes the path integration error.
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