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Active matter under cyclic stretch: Modeling microtubule alignment and bundling

Takumi Tagaki1,*, Seiya Nishikawa1, and Shuji Ishihara1,2,†

  • *Contact author: tagaki-takumi@g.ecc.u-tokyo.ac.jp
  • †Contact author: csishihara@g.ecc.u-tokyo.ac.jp

Phys. Rev. E 112, 034405 – Published 5 September, 2025

DOI: https://doi.org/10.1103/qysz-9fk3

Abstract

We investigate the behavior of self-propelled particles under cyclic stretching, inspired by the characteristic pattern dynamics observed in microtubule (MT) motility assays subjected to uniaxial cyclic substrate stretching. We develop a self-propelled particle model that incorporates the elastic energy acting on the filaments due to substrate deformation, successfully reproducing the experimentally observed MT patterns. Additionally, the general framework of the model enables systematic exploration of collective responses to various substrate deformations, offering potential applications in the manipulation of MT patterns and other active matter systems.

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