Symmetry group factorization reveals the structure-function relation in the neural connectome of Caenorhabditis elegans
Symmetry group factorization reveals the structure-function relation in the neural connectome of Caenorhabditis elegans
复制标题
对称群分解揭示秀丽隐杆线虫神经连接体的结构-功能关系
DOI：
10.1038/s41467-019-12675-8
复制
发表时间：
2019-10-31
影响因子：
16.6
通讯作者：
Makse, Hernan A.
中科院分区：
文献类型：
--
作者：
Morone, Flaviano;Makse, Hernan A.
线虫线虫的神经连接体已经被完全绘制出来，尽管它是最小的连接体之一（302个神经元），但解释连接体结构如何决定其功能的设计原理仍然未知。在这里，我们发现对称性的运动神经回路的C。elegans，每一个都有自己的对称群，可以分解为正规子群的直积。这些正常亚群的活动将连接体划分为与广泛的功能类别相匹配的神经元部分。此外，对称性原理预测存在新的更精细的结构内，这些正常的子群形成前馈和经常性的网络块的不连续性。这些块构成由嵌套在块循环矩阵的层次结构中的循环矩阵构成的结构，其功能可以从负责快速处理信息的神经处理滤波器的角度来理解。
The neural connectome of the nematode Caenorhabditis elegans has been completely mapped, yet in spite of being one of the smallest connectomes (302 neurons), the design principles that explain how the connectome structure determines its function remain unknown. Here, we find symmetries in the locomotion neural circuit of C. elegans, each characterized by its own symmetry group which can be factorized into the direct product of normal subgroups. The action of these normal subgroups partitions the connectome into sectors of neurons that match broad functional categories. Furthermore, symmetry principles predict the existence of novel finer structures inside these normal subgroups forming feedforward and recurrent networks made of blocks of imprimitivity. These blocks constitute structures made of circulant matrices nested in a hierarchy of block-circulant matrices, whose functionality is understood in terms of neural processing filters responsible for fast processing of information.