头朝向细胞三维空间活动模式的神经动力学建模

许霜; 王毅泓; 徐旭颖; 潘晓川; 王如彬

doi:10.21656/1000-0887.450234

头朝向细胞三维空间活动模式的神经动力学建模

doi: 10.21656/1000-0887.450234

华东理工大学数学学院，上海 200237

基金项目:

国家自然科学基金 12172132

国家自然科学基金 12272136

国家自然科学基金 12472054

详细信息

作者简介:
许霜(2000—)，女，硕士生

通讯作者:
王毅泓(1989—)，男，副教授，博士，博士生导师(通讯作者. E-mail: wangyihong@ecust.edu.cn)

中图分类号: O241
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- 文章访问数: 5
- HTML全文浏览量: 2
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- 被引次数: 0
出版历程
- 收稿日期: 2024-08-16
- 修回日期: 2025-06-20
- 网络出版日期: 2025-07-30
- 刊出日期: 2025-07-01

Neurodynamical Modeling of 3D Spatial Activity Patterns of Head-Direction Cells

School of Mathematics, East China University of Science and Technology, Shanghai 200237, P.R.China

摘要

摘要: 哺乳动物的内嗅皮层等多个脑区中存在头朝向细胞(head-direction cells，HD cells)，对特定的头部朝向进行选择性响应，构成了大脑内部的指南针系统.该系统可以以自组织的方式更新内部方向表征，也可以接收外部环境信息输入，对方向编码进行校准.目前，大多数头朝向细胞的计算模型只考虑了水平面上的头部方向编码.而实验表明，哺乳动物(例如蝙蝠)脑内存在同时编码水平方位角和竖直俯仰角的神经元，但目前还缺乏对其神经机制的计算建模研究.对此，本研究构造了一个能够同时编码方位角和俯仰角等三维方向特征的连续吸引子网络模型，不仅在单神经元水平上实现了三维头朝向细胞特定的方向偏好编码，而且在群体水平上实现了对三维空间中头部方向变化的准确追踪.模型使用的环面拓扑连接结构，相对于球面拓扑能更合理地解释蝙蝠记录的神经元对方位角的调谐数据.本研究通过神经动力学模型重现了电生理实验记录到的三维头朝向编码的现象，并对头朝向细胞三维空间的活动模式给出了动力学角度的机理解释.
- 空间导航 /
- 神经动力学 /
- 头朝向细胞 /
- 连续吸引子网络 /
- 三维空间
Abstract: Head-direction cells are present in several brain regions, including the mammalian medial entorhinal cortex, and respond selectively to specific head directions, and constitute a compass system in the brain. This system can update internal direction representations in a self-organized manner, and can receive inputs from the external environment to calibrate direction encoding. Currently, many computational models for head-direction cells only consider head directions encoding in the horizontal plane. Whereas experiments show that neurons encoding both horizontal azimuth and vertical pitch angles exist in the brains of mammals, there is a lack of computational modeling of their neural mechanisms. A continuous attractor network model was constructed to encode 3D direction features such as azimuth and pitch angles at the same time, realizing both the specific direction preference encoding of 3D-head-direction cells at the single-neuron level and the accurate tracking of head direction changes in 3D space at the population level. The torus topology used in the model, compared with the spherical topology, can more reasonably explain the neuronal tuning data for azimuth recorded by bats. The proposed neurodynamic model reproduces the phenomena encoded by electrophysiological experiments recorded in 3D head directions and gives a mechanistic explanation of the dynamical angles of the activity patterns of head-direction cells in the 3D space.
- spatial navigation /
- neurodynamics /
- head-direction cell /
- continuous attractor network /
- 3D space

HTML全文

图 1 HD细胞的发放特性和三维空间中的Euler角

Figure 1. HD cells' firing properties and Euler angles in 3D space

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图 2 模型框架和结构

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 2. The model framework and structures

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图 3 蝙蝠头部方向变化驱使神经元表格上活动包一致滑动

Figure 3. The bat head direction changes driving the activity bump to slide consistently on the neural sheet

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图 4 初始化后，神经元表格上形成稳定的单个活动包

Figure 4. The stable single active package formed on the neural sheet after initialization

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图 5 初始化后，HD细胞群体活动分析

Figure 5. Analysis of HD cells' population activities after initialization

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图 6 在二维子空间中，HD细胞的群体动态追踪方位角变化

Figure 6. HD cells' population dynamics tracking azimuth changes in a 2D subspace

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图 7 在二维子空间中，HD细胞的群体动态追踪俯仰角变化

Figure 7. HD cells' population dynamics tracking pitch changes in a 2D subspace

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图 8 HD细胞的群体动态可以准确追踪二维子空间头部方向变化

Figure 8. HD cells' population dynamics accurately tracking head direction changes in 2D subspaces

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图 9 HD细胞的群体动态追踪三维空间中方位角×俯仰角变化

Figure 9. HD cells' population dynamics tracking azimuth×pitch changes in the 3D space

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图 10 HD细胞的群体动态可以准确追踪三维空间头部方向变化

Figure 10. HD cells' population dynamics accurately tracking head direction changes in the 3D space

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图 11 HD细胞的调谐曲面

Figure 11. HD cells' tuning surfaces

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图 12 HD细胞偏好方向的估计和估算误差

Figure 12. Estimations and errors of HD cells' preferred directions

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图 13 环面拓扑可以合理解释HD细胞的方位角调谐

Figure 13. The torus topology reasonably explaining azimuth tuning of HD cells

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