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Updated: Feb 11, 2026

Generation of Aggregates of Mouse Embryonic Stem Cells that Show Symmetry Breaking, Polarization and Emergent Collective Behaviour In Vitro
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Steering particles by breaking symmetries.

Bram Bet1, Sela Samin1, Rumen Georgiev2

  • 1Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University, Princetonplein 5, 3584 CC Utrecht, Netherlands.

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Summary

Researchers developed analytical models for self-steering particles in Hele-Shaw channels. These models accurately predict particle motion, especially for symmetric particles, offering design principles for microfluidic devices.

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Area of Science:

  • Physics
  • Fluid Dynamics
  • Microfluidics

Background:

  • Hele-Shaw channels are crucial for studying confined particle dynamics.
  • Understanding particle motion is key for designing microfluidic devices and self-steering particles.
  • Previous models for particle motion lacked generality.

Purpose of the Study:

  • Derive general equations of motion for confined particles in Hele-Shaw channels.
  • Develop analytical solutions to these equations.
  • Establish design principles for self-steering particles.

Main Methods:

  • Analytical derivation of particle equations of motion.
  • Solving these equations for quasi-two-dimensional motion.
  • Numerical simulation of particle trajectories for comparison.

Main Results:

  • General equations of motion for confined particles were derived and solved analytically.
  • Analytical solutions show excellent agreement with numerical trajectories for mirror-symmetric particles.
  • A classification of motion based on particle geometry was developed for non-mirror-symmetric particles.

Conclusions:

  • The derived analytical solutions provide a robust framework for understanding confined particle dynamics.
  • Side-wall interactions are critical for accurately predicting trajectories of non-mirror-symmetric particles.
  • The study offers design principles for creating self-steering particles in microfluidic systems.