Mathematical relationships between spinal motoneuron properties
File(s)
Published version
Supporting information
Author(s)
Caillet, Arnault
Phillips, Andrew TM
Farina, Dario
Modenese, Luca
Type
Journal Article
Abstract
Our understanding of the behaviour of spinal alpha-motoneurons (MNs) in mammals partly relies on our knowledge of the relationships between MN membrane properties, such as MN size, resistance, rheobase, capacitance, time constant, axonal conduction velocity and afterhyperpolarization period. We reprocessed the data from 40 experimental studies in adult cat, rat and mouse MN preparations, to empirically derive a set of quantitative mathematical relationships between these MN electrophysiological and anatomical properties. This validated mathematical framework, which supports past findings that the MN membrane properties are all related to each other and clarifies the nature of their associations, is besides consistent with the Henneman’s size principle and Rall’s cable theory. The derived mathematical relationships provide a convenient tool for neuroscientists and experimenters to complete experimental datasets, to explore relationships between pairs of MN properties never concurrently observed in previous experiments, or to investigate inter-mammalian-species variations in MN membrane properties. Using this mathematical framework, modelers can build profiles of inter-consistent MN-specific properties to scale pools of MN models, with consequences on the accuracy and the interpretability of the simulations.
Date Issued
2022-10-27
Date Acceptance
2022-07-13
Citation
eLife, 2022, 11
ISSN
2050-084X
Publisher
eLife Sciences Publications Ltd
Journal / Book Title
eLife
Volume
11
Copyright Statement
© 2022, Caillet et al.
This article is distributed under the terms of the Creative Commons Attribution License permitting unrestricted use and redistribution provided that the original author and source are credited.
This article is distributed under the terms of the Creative Commons Attribution License permitting unrestricted use and redistribution provided that the original author and source are credited.
License URL
Identifier
https://elifesciences.org/articles/76489
Subjects
Science & Technology
Life Sciences & Biomedicine
Biology
Life Sciences & Biomedicine - Other Topics
motor neuron
motoneuron
motor neuron size
motor unit
mathematical relationships
Henneman's size principle
None
SINGLE MOTOR UNITS
PASSIVE ELECTRICAL-PROPERTIES
MEDIAL GASTROCNEMIUS-MUSCLE
AXONAL CONDUCTION-VELOCITY
MEMBRANE TIME CONSTANT
CELL BODY-SIZE
ALPHA-MOTONEURONS
CONTRACTILE PROPERTIES
LUMBAR MOTONEURONS
INNERVATION RATIO
Henneman's size principle
mathematical relationships
motoneuron
motor neuron
motor neuron size
motor unit
neuroscience
none
physics of living systems
Animals
Rats
Mice
Motor Neurons
Spinal Cord
Mammals
Spinal Cord
Motor Neurons
Animals
Mammals
Mice
Rats
0601 Biochemistry and Cell Biology
Publication Status
Published
Article Number
ARTN e76489
Date Publish Online
2022-07-18