Geometric somersaults of helical chains through twist propagation

Shiori Uda, Mengyun Li, Tomohiro Yanao

    Research output: Contribution to journalArticle

    Abstract

    This study is concerned with the rotary motions of helical chains that play essential roles in the functions of molecular motors in biological systems. While the standard pictures for the rotary motions of molecular motors may be more or less like the rotations of rigid bodies, this study explores a qualitatively different mechanism for the rotary motions. We take a simple model of a helical chain and highlight its geometric angle shifts induced by internal twist propagation. Such angle shifts, which we call geometric somersaults, can generally arise even under the conditions of zero total angular momentum, and are thereby analogous to the somersault of a falling cat. Helical chirality of the chain and the direction of twist propagation are the decisive factors that determine the direction of the resulting somersaults. As an application, we argue that the geometric somersaults of the helical chain may serve as a prototypical model for the rotary motions of the central shaft of ATP synthase.

    Original languageEnglish
    Pages (from-to)1-6
    Number of pages6
    JournalArtificial Life and Robotics
    DOIs
    Publication statusAccepted/In press - 2017 Aug 29

    Fingerprint

    Angular momentum
    Chirality
    Adenosinetriphosphate
    Biological systems
    Adenosine Triphosphate
    Cats
    Direction compound

    Keywords

    • ATP synthase
    • Chirality
    • Helical chain
    • Molecular motors
    • Somersault
    • Twist propagation

    ASJC Scopus subject areas

    • Biochemistry, Genetics and Molecular Biology(all)
    • Artificial Intelligence

    Cite this

    Geometric somersaults of helical chains through twist propagation. / Uda, Shiori; Li, Mengyun; Yanao, Tomohiro.

    In: Artificial Life and Robotics, 29.08.2017, p. 1-6.

    Research output: Contribution to journalArticle

    @article{14ce934e79dc4a538dcb69a9efc56e77,
    title = "Geometric somersaults of helical chains through twist propagation",
    abstract = "This study is concerned with the rotary motions of helical chains that play essential roles in the functions of molecular motors in biological systems. While the standard pictures for the rotary motions of molecular motors may be more or less like the rotations of rigid bodies, this study explores a qualitatively different mechanism for the rotary motions. We take a simple model of a helical chain and highlight its geometric angle shifts induced by internal twist propagation. Such angle shifts, which we call geometric somersaults, can generally arise even under the conditions of zero total angular momentum, and are thereby analogous to the somersault of a falling cat. Helical chirality of the chain and the direction of twist propagation are the decisive factors that determine the direction of the resulting somersaults. As an application, we argue that the geometric somersaults of the helical chain may serve as a prototypical model for the rotary motions of the central shaft of ATP synthase.",
    keywords = "ATP synthase, Chirality, Helical chain, Molecular motors, Somersault, Twist propagation",
    author = "Shiori Uda and Mengyun Li and Tomohiro Yanao",
    year = "2017",
    month = "8",
    day = "29",
    doi = "10.1007/s10015-017-0388-8",
    language = "English",
    pages = "1--6",
    journal = "Artificial Life and Robotics",
    issn = "1433-5298",
    publisher = "Springer Japan",

    }

    TY - JOUR

    T1 - Geometric somersaults of helical chains through twist propagation

    AU - Uda, Shiori

    AU - Li, Mengyun

    AU - Yanao, Tomohiro

    PY - 2017/8/29

    Y1 - 2017/8/29

    N2 - This study is concerned with the rotary motions of helical chains that play essential roles in the functions of molecular motors in biological systems. While the standard pictures for the rotary motions of molecular motors may be more or less like the rotations of rigid bodies, this study explores a qualitatively different mechanism for the rotary motions. We take a simple model of a helical chain and highlight its geometric angle shifts induced by internal twist propagation. Such angle shifts, which we call geometric somersaults, can generally arise even under the conditions of zero total angular momentum, and are thereby analogous to the somersault of a falling cat. Helical chirality of the chain and the direction of twist propagation are the decisive factors that determine the direction of the resulting somersaults. As an application, we argue that the geometric somersaults of the helical chain may serve as a prototypical model for the rotary motions of the central shaft of ATP synthase.

    AB - This study is concerned with the rotary motions of helical chains that play essential roles in the functions of molecular motors in biological systems. While the standard pictures for the rotary motions of molecular motors may be more or less like the rotations of rigid bodies, this study explores a qualitatively different mechanism for the rotary motions. We take a simple model of a helical chain and highlight its geometric angle shifts induced by internal twist propagation. Such angle shifts, which we call geometric somersaults, can generally arise even under the conditions of zero total angular momentum, and are thereby analogous to the somersault of a falling cat. Helical chirality of the chain and the direction of twist propagation are the decisive factors that determine the direction of the resulting somersaults. As an application, we argue that the geometric somersaults of the helical chain may serve as a prototypical model for the rotary motions of the central shaft of ATP synthase.

    KW - ATP synthase

    KW - Chirality

    KW - Helical chain

    KW - Molecular motors

    KW - Somersault

    KW - Twist propagation

    UR - http://www.scopus.com/inward/record.url?scp=85028755109&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=85028755109&partnerID=8YFLogxK

    U2 - 10.1007/s10015-017-0388-8

    DO - 10.1007/s10015-017-0388-8

    M3 - Article

    SP - 1

    EP - 6

    JO - Artificial Life and Robotics

    JF - Artificial Life and Robotics

    SN - 1433-5298

    ER -