Application of the principle of symmetry to neural circuitry: From building blocks to neural synchronization in the connectome

项目摘要/摘要 这笔赠款的广泛和长期目标是提出一种新的理论方法来确定 基于群论的神经电路同步积木及其在理解神经网络中的应用 这些回路的置换对称性。基于开发的理论框架，我们将验证 我们的理论通过探测单细胞分辨率和实时的大脑动力学，即亚秒尺度，在C。 Elegans，这是一个具有完全映射的突触分辨率连接体的系统。我们将生产一款软件 该工具将允许来自广泛神经科学界的最终用户识别和分析建筑 神经回路的块，并探索它们与功能的关系。SPECIfic的目标是： ·SPECIfic目标1.发展对称群及其独特的广义理论框架 分解成正常的子群以识别由同步的神经弹出- 在大脑网络中的祝贺。基于我们在线虫运动方面的初步工作，我们将 评价对称群在更复杂的函数和更复杂的神经中的应用 其他物种的系统来研究连接体和神经对称性之间的关系 同步。 ·SPECIfic Aim 2.通过实验验证线虫神经系统中预测的构建单元 进行了全系统的钙离子成像实验。我们将开发一个实验程序来测试 对称群识别的神经群体同步理论的预言，fi， 以及随后的对称性破坏和非同步性通过单细胞激光消融来检验。 ·Speific Aim 3.资源共享计划和软件开发：开发基于以下内容的软件和工具 关于在目标1中开发并在目标2中评估的算法，以确定 神经电路研究它们的同步性和功能。通过以下方式优化软件的可用性 实验者(最终用户PD曼努埃尔·齐默)和其他研究人员在更大的Sciencefic中使用 社区。 长期目标：本研究的结果应有助于提高我们对 神经电路的设计原理以及这种结构在fl中是如何工作的。一旦完工，我们相信 这个项目开发的工具将能够被更大的神经科学界使用 研究所有连接点的构成要素。企业组织理论的发展 连接体应该导致关于网络组织的一般原则适用于 神经科学以外的领域，一般包括信息处理复杂系统。

Project Summary/Abstract The broad, long-term objective of this grant is to advance a new theoretical approach to identify synchronized building blocks of neural circuits based on group theory and its application to understand the permutation symmetries of these circuits. Based on the developed theoretical framework we will validate our theory by probing brain dynamics at single-cell resolution and in real-time, i.e. sub-second scale, in C. elegans, which is a system with a fully mapped synapse-resolution connectome. We will produce a software tool that will allow end-users from the broad neuroscience community to identify and analyze the building blocks of neural circuits and explore their relation with function. Specific Aims are: · Specific Aim 1. Develop a generalized theoretical framework of symmetry groups and their unique decomposition into normal subgroups to identify building blocks made of synchronized neural pop- ulations in brain networks. Based on our preliminary work in locomotion in C. elegans, we will evaluate the application of symmetry groups to more complex functions and more complex neural systems of other species to investigate the relation between symmetries of the connectome and neural synchronization. · Specific Aim 2. Verify experimentally the predicted building blocks in C. elegans nervous system with system-wide Ca2+-imaging experiments. We will develop an experimental program to test the predictions of the theory on the synchronization of neural populations identified by symmetry groups, and the subsequent breaking of symmetry and asynchrony tested by single-cell laser ablation. · Specific Aim 3. Resource sharing plan and software development: Develop software and tools based on the algorithms developed in Aim 1 and evaluated in Aim 2 to identify the building blocks of neural circuits to study their synchronization and function. Optimize the usability of the software by experimentalists (end-user PD Manuel Zimmer) and other researchers for use in the larger scientific community. Long term goals: The results of the present study should lead to improve our understanding of the designing principles of neural circuits and how this structure influences function. Once completed, we trust that the tools developed by this project will be able to be used by the larger neuroscience community to study the building blocks of all connectomes. The development of theories of the organization of the connectome should lead to the inference of general principles regarding network organization applicable to areas outside neuroscience that include information processing complex systems in general.