Arnold tongue entrainment reveals dynamical principles of the embryonic segmentation clock

Paul Gerald Layague Sanchez; Victoria Mochulska; Christian Mauffette Denis; Gregor Mönke; Takehito Tomita; Nobuko Tsuchida-Straeten; Yvonne Petersen; Katharina Sonnen; Paul François; Alexander Aulehla

doi:10.7554/eLife.79575

Arnold tongue entrainment reveals dynamical principles of the embryonic segmentation clock

Paul Gerald Layague Sanchez, Victoria Mochulska, Christian Mauffette Denis, Gregor Mönke, Takehito Tomita, Nobuko Tsuchida-Straeten, Yvonne Petersen, Katharina Sonnen, Paul François, Alexander Aulehla

Hubrecht Institute

Onderzoeksoutput: Bijdrage aan wetenschappelijk tijdschrift/periodieke uitgave › Artikel › Wetenschappelijk › peer review

9 Citaten (Scopus)

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Living systems exhibit an unmatched complexity, due to countless, entangled interactions across scales. Here, we aim to understand a complex system, that is, segmentation timing in mouse embryos, without a reference to these detailed interactions. To this end, we develop a coarse-grained approach, in which theory guides the experimental identification of the segmentation clock entrainment responses. We demonstrate period- and phase-locking of the segmentation clock across a wide range of entrainment parameters, including higher-order coupling. These quantifications allow to derive the phase response curve (PRC) and Arnold tongues of the segmentation clock, revealing its essential dynamical properties. Our results indicate that the somite segmentation clock has characteristics reminiscent of a highly non-linear oscillator close to an infinite period bifurcation and suggests the presence of long-term feedbacks. Combined, this coarse-grained theoretical-experimental approach reveals how we can derive simple, essential features of a highly complex dynamical system, providing precise experimental control over the pace and rhythm of the somite segmentation clock.

Originele taal-2	Engels
Tijdschrift	eLife
Volume	11
DOI's	https://doi.org/10.7554/eLife.79575
Status	Gepubliceerd - 12 okt. 2022

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10.7554/eLife.79575

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title = "Arnold tongue entrainment reveals dynamical principles of the embryonic segmentation clock",

abstract = "Living systems exhibit an unmatched complexity, due to countless, entangled interactions across scales. Here, we aim to understand a complex system, that is, segmentation timing in mouse embryos, without a reference to these detailed interactions. To this end, we develop a coarse-grained approach, in which theory guides the experimental identification of the segmentation clock entrainment responses. We demonstrate period- and phase-locking of the segmentation clock across a wide range of entrainment parameters, including higher-order coupling. These quantifications allow to derive the phase response curve (PRC) and Arnold tongues of the segmentation clock, revealing its essential dynamical properties. Our results indicate that the somite segmentation clock has characteristics reminiscent of a highly non-linear oscillator close to an infinite period bifurcation and suggests the presence of long-term feedbacks. Combined, this coarse-grained theoretical-experimental approach reveals how we can derive simple, essential features of a highly complex dynamical system, providing precise experimental control over the pace and rhythm of the somite segmentation clock.",

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author = "Sanchez, {Paul Gerald Layague} and Victoria Mochulska and {Mauffette Denis}, Christian and Gregor M{\"o}nke and Takehito Tomita and Nobuko Tsuchida-Straeten and Yvonne Petersen and Katharina Sonnen and Paul Fran{\c c}ois and Alexander Aulehla",

note = "{\textcopyright} 2022, Sanchez, Mochulska et al.",

year = "2022",

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day = "12",

doi = "10.7554/eLife.79575",

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T1 - Arnold tongue entrainment reveals dynamical principles of the embryonic segmentation clock

AU - Sanchez, Paul Gerald Layague

AU - Mochulska, Victoria

AU - Mauffette Denis, Christian

AU - Mönke, Gregor

AU - Tomita, Takehito

AU - Tsuchida-Straeten, Nobuko

AU - Petersen, Yvonne

AU - Sonnen, Katharina

AU - François, Paul

AU - Aulehla, Alexander

PY - 2022/10/12

Y1 - 2022/10/12

N2 - Living systems exhibit an unmatched complexity, due to countless, entangled interactions across scales. Here, we aim to understand a complex system, that is, segmentation timing in mouse embryos, without a reference to these detailed interactions. To this end, we develop a coarse-grained approach, in which theory guides the experimental identification of the segmentation clock entrainment responses. We demonstrate period- and phase-locking of the segmentation clock across a wide range of entrainment parameters, including higher-order coupling. These quantifications allow to derive the phase response curve (PRC) and Arnold tongues of the segmentation clock, revealing its essential dynamical properties. Our results indicate that the somite segmentation clock has characteristics reminiscent of a highly non-linear oscillator close to an infinite period bifurcation and suggests the presence of long-term feedbacks. Combined, this coarse-grained theoretical-experimental approach reveals how we can derive simple, essential features of a highly complex dynamical system, providing precise experimental control over the pace and rhythm of the somite segmentation clock.

AB - Living systems exhibit an unmatched complexity, due to countless, entangled interactions across scales. Here, we aim to understand a complex system, that is, segmentation timing in mouse embryos, without a reference to these detailed interactions. To this end, we develop a coarse-grained approach, in which theory guides the experimental identification of the segmentation clock entrainment responses. We demonstrate period- and phase-locking of the segmentation clock across a wide range of entrainment parameters, including higher-order coupling. These quantifications allow to derive the phase response curve (PRC) and Arnold tongues of the segmentation clock, revealing its essential dynamical properties. Our results indicate that the somite segmentation clock has characteristics reminiscent of a highly non-linear oscillator close to an infinite period bifurcation and suggests the presence of long-term feedbacks. Combined, this coarse-grained theoretical-experimental approach reveals how we can derive simple, essential features of a highly complex dynamical system, providing precise experimental control over the pace and rhythm of the somite segmentation clock.

KW - Animals

KW - Mice

KW - Somites

KW - Tongue

U2 - 10.7554/eLife.79575

DO - 10.7554/eLife.79575

M3 - Article

C2 - 36223168

SN - 2050-084X

VL - 11

JO - eLife

JF - eLife

ER -

Arnold tongue entrainment reveals dynamical principles of the embryonic segmentation clock

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