The Three-Dimensional Velocity Field of Kinesin-Driven Microtubules in Torroidal Channels
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918058805690368 |
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| author | Fan, Yi Breuer, Kenneth |
| author_facet | Fan, Yi Breuer, Kenneth |
| contents | We study two regimes of flow in multiple three-dimensional toroidal channels by tracking the fluorescent spherical particles in the kinesin-driven microtubule systems: ``chaotic'' flow and ``coherent'' flow. In the smallest aspect ratio torus, where the channel height $h$ is a quarter of the width $w$, the active system shows zero mean velocity, small-scale isotropy in fluctuation and no persistent flow structure. In other tori with higher aspect ratios $h/w$ close to 1, we find faster coherent flows along the azimuthal direction and increasing fluctuation strengths with growing confinement geometries. Regardless of flow regimes, the flow profiles at $r-z$ cross-section and $r-θ$ plane are symmetric. The ``coherent'' profiles show two criteria: ``Poiseuille-like'' profiles, which have the peak velocities near the centers of channels; a ``peak-separated'' profile, which has four peak velocities near a certain distance to four confining surfaces. These flow profiles, after scaled by the local isotropic fluctuation strength, reveal universal three-dimensional flow structures among the ``Poiseuille-like'' criterion and the same level of scaled peak velocity at the ``peak-separated'' one. These results illustrate scalable flow structures in this kinesin-driven microtubule active system. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_12192 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Three-Dimensional Velocity Field of Kinesin-Driven Microtubules in Torroidal Channels Fan, Yi Breuer, Kenneth Fluid Dynamics Soft Condensed Matter We study two regimes of flow in multiple three-dimensional toroidal channels by tracking the fluorescent spherical particles in the kinesin-driven microtubule systems: ``chaotic'' flow and ``coherent'' flow. In the smallest aspect ratio torus, where the channel height $h$ is a quarter of the width $w$, the active system shows zero mean velocity, small-scale isotropy in fluctuation and no persistent flow structure. In other tori with higher aspect ratios $h/w$ close to 1, we find faster coherent flows along the azimuthal direction and increasing fluctuation strengths with growing confinement geometries. Regardless of flow regimes, the flow profiles at $r-z$ cross-section and $r-θ$ plane are symmetric. The ``coherent'' profiles show two criteria: ``Poiseuille-like'' profiles, which have the peak velocities near the centers of channels; a ``peak-separated'' profile, which has four peak velocities near a certain distance to four confining surfaces. These flow profiles, after scaled by the local isotropic fluctuation strength, reveal universal three-dimensional flow structures among the ``Poiseuille-like'' criterion and the same level of scaled peak velocity at the ``peak-separated'' one. These results illustrate scalable flow structures in this kinesin-driven microtubule active system. |
| title | The Three-Dimensional Velocity Field of Kinesin-Driven Microtubules in Torroidal Channels |
| topic | Fluid Dynamics Soft Condensed Matter |
| url | https://arxiv.org/abs/2506.12192 |