The scale-invariant covariance spectrum of brain-wide activity

Author:

Wang ZezhenORCID,Mai WeihaoORCID,Chai YumingORCID,Qi Kexin,Ren Hongtai,Shen Chen,Zhang Shiwu,Tan Guodong,Hu YuORCID,Wen QuanORCID

Abstract

SummaryThe structure of high-dimensional neural activity plays a pivotal role in various sensory and behavioral processes. Here, we analyze whole-brain calcium activity in larval zebrafish, captured by fast light-field volumetric imaging during hunting and spontaneous behavior. We find that brain-wide activity is distributed across many principal component dimensions described by the covariance spectrum. Intriguingly, this spectrum shows an invariance to spatial subsampling: That is, the distribution of the eigenvalues of a smaller andrandomly sampledcell assembly is statistically similar to that of the entire brain. We propose that this property can be understood using a Euclidean random matrix model (ERM), where pairwise correlation between neurons can be mapped onto a distance function between two points in a low-dimensional functional space. We numerically and analytically calculate the eigenspectrum in our model and identify three key factors that lead to the experimentally observed scale invariance: (i) the slow decay of the distance-correlation function, (ii) the higher dimension of the functional space, and (iii) the heterogeneity of neural activity. Our theory can quantitatively recapitulate the scale-invariant spectrum in zebrafish data, as well as two-photon and multi-area electrode recordings in mice. Furthermore, fitting the model to the experimental data uncovers a reorganization of neurons in the functional space when the zebrafish is engaged in hunting behavior. Our results therefore provide new insights and interpretations of brain-wide neural activity and offer clues about circuit mechanisms for coordinating global neural activity patterns.

Publisher

Cold Spring Harbor Laboratory

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3