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Ciliary beating patterns map onto a low-dimensional behavioural space

delete2022-01-10
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V
Veikko F. Geyer *
J
Jonathon Howard *
P
Pablo Sartori *
DOI:10.1038/s41567-021-01446-2delete
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Abstract

Abstract

En 中文
The beating of motile cilia arises from the collective action of hundreds of proteins. A study of the dynamics of cilia under different environmental and genetic conditions shows that the space of beating variations is low-dimensional. Biological systems are robust to perturbations at both the genetic and environmental levels, although these same perturbations can elicit variation in behaviour. The interplay between functional robustness and behavioural variability is exemplified at the organellar level by the beating of cilia and flagella. Cilia are motile despite wide genetic diversity between and within species, differences in intracellular concentrations of ATP and calcium, and considerable environment fluctuations in temperature and viscosity. At the same time, these perturbations result in a variety of spatio-temporal patterns that span a rich behavioural space. To investigate this behavioural space we analysed the dynamics of isolated cilia from the unicellular algae Chlamydomonas reinhardtii under many different environmental and genetic conditions. We found that, despite large changes in beat frequency and amplitude, the space of waveform shapes is low-dimensional in the sense that two features account for 80% of the observed variation. The geometry of this behavioural space accords with the predictions of a simple mechanochemical model in the low-viscosity regime. This allowed us to associate waveform shape variability with changes in only the curvature response coefficients of the dynein motors.
Keywords:
CHLAMYDOMONAS-FLAGELLA
BENDING PATTERNS
WAVE-PROPAGATION
NEXIN LINK
DYNEIN
MUTANT
MOVEMENT
INNER
AXONEME
CANALIZATION
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Nature Physics cover
Nature Physics
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instituto gulbenkian de ciencia
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