Neural systems under change of scale
File(s)
Published version
Author(s)
Type
Journal Article
Abstract
We derive a theoretical construct that allows for the characterisation of both scalable and scale free systems within the Dynamic Causal Modelling framework. We define a dynamical system to be ‘scalable’ if the same equation of motion continues to apply as the system changes in size. As an example of such a system, we simulate planetary orbits varying in size and show that our proposed methodology can be used to recover Kepler’s third law from the timeseries. In contrast, a ‘scale free’ system is one in which there is no characteristic length scale, meaning that images of such a system are statistically unchanged at different levels of magnification. As an example of such a system, we use calcium imaging collected in murine cortex and show that the dynamical critical exponent, as defined in renormalization group theory, can be estimated in an empirical biological setting. We find that a task-relevant region of the cortex is associated with higher dynamical critical exponents in task vs. spontaneous states and vice versa for a task-irrelevant region.
Date Issued
2021-04-21
Date Acceptance
2021-03-26
Citation
Frontiers in Computational Neuroscience, 2021, 15
ISSN
1662-5188
Publisher
Frontiers Media
Journal / Book Title
Frontiers in Computational Neuroscience
Volume
15
Copyright Statement
Copyright © 2021 Fagerholm, Foulkes, Gallero-Salas, Helmchen, Friston, Leech and Moran. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
License URL
Identifier
https://www.frontiersin.org/articles/10.3389/fncom.2021.643148/abstract
Subjects
Science & Technology
Life Sciences & Biomedicine
Mathematical & Computational Biology
Neurosciences
Neurosciences & Neurology
scalable neural systems
scale free neural systems
mechanical similarity
dynamic causal modeling (DCM)
computational neuroscience
theoretical neuroscience
renormalisation group theory
computational neuroscience
dynamic causal modeling (DCM)
mechanical similarity
renormalisation group theory
scalable neural systems
scale free neural systems
theoretical neuroscience
1103 Clinical Sciences
1109 Neurosciences
Publication Status
Published
Article Number
ARTN 643148
Date Publish Online
2021-04-21