Geometric frustration in the myosin superlattice of vertebrate muscle
File(s)
Author(s)
Type
Journal Article
Abstract
Geometric frustration results from an incompatibility between minimum energy arrangements and the geometry of a system, and gives rise to interesting and novel phenomena. Here, we report geometric frustration in a native biological macromolecular system---vertebrate muscle. We analyse the disorder in the myosin filament rotations in the myofibrils of vertebrate striated (skeletal and cardiac) muscle, as seen in thin-section electron micrographs, and show that the distribution of rotations corresponds to an archetypical geometrically frustrated system---the triangular Ising antiferromagnet. Spatial correlations are evident out to at least six lattice spacings. The results demonstrate that geometric frustration can drive the development of structure in complex biological systems, and may have implications for the nature of the actin--myosin interactions involved in muscle contraction. Identification of the distribution of myosin filament rotations with an Ising model allows the extensive results on the latter to be applied to this system. It shows how local interactions (between adjacent myosin filaments) can determine long-range order and, conversely, how observations of long-range order (such as patterns seen in electron micrographs) can be used to estimate the energetics of these local interactions. Furthermore, since diffraction by a disordered system is a function of the second-order statistics, the derived correlations allow more accurate diffraction calculations, which can aid in interpretation of X-ray diffraction data from muscle specimens for structural analysis.
Date Issued
2021-12-15
Date Acceptance
2021-11-16
Citation
Journal of the Royal Society Interface, 2021, 18 (185)
ISSN
1742-5662
Publisher
The Royal Society
Journal / Book Title
Journal of the Royal Society Interface
Volume
18
Issue
185
Copyright Statement
© 2021 The Author(s)
Published by the Royal Society. All rights reserved. This work is licensed under a Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/).
Published by the Royal Society. All rights reserved. This work is licensed under a Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/).
License URL
Identifier
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000730112500001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
Subjects
3-DIMENSIONAL STRUCTURE
A-BAND
antiferromagnet
ARCHITECTURE
ARTIFICIAL SPIN-ICE
CONTRACTION
DIFFRACTION
EVOLUTION
FILAMENTS
geometric frustration
Ising model
ISING-MODEL
Multidisciplinary Sciences
myosin
Science & Technology
Science & Technology - Other Topics
SKELETAL-MUSCLE
vertebrate muscle
Publication Status
Published
Article Number
20210585
Date Publish Online
2021-12-15