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Performance Estimation and Ex Vivo Validation of Untethered Magnetic Robots in Soft Tissue
Leendert-Jan W Ligtenberg1,2,3, Thijs J van der Burg1, Stijn Y Kolkman1
1RAM-Robotics and Mechatronics, University of Twente, Enschede, The Netherlands.
Advanced Science (Weinheim, Baden-Wurttemberg, Germany)
|August 14, 2026
Summary
This study models the step-out frequency for untethered magnetic robots (UMRs) in brain tissue. A new predictive model helps optimize UMR performance for brain surgeries.
Area of Science:
- Biomedical Engineering
- Robotics
- Soft Matter Physics
Background:
- Untethered magnetic robots (UMRs) require synchronized rotation for navigation in soft tissues.
- The step-out frequency limits propulsion efficiency and control stability.
- Brain tissue's viscoelastic properties pose challenges for UMR control.
Purpose of the Study:
- To develop an empirical model for predicting the step-out frequency of UMRs in ex vivo brain tissue.
- To establish a relationship between robot geometry, tissue viscoelasticity, and magnetic synchronization limits.
- To support the clinical translation of magnetic microrobots for brain interventions.
Main Methods:
- Utilized Buckingham Pi dimensional analysis to derive dimensionless groups.
- Developed an empirical model based on robot geometry and tissue viscoelasticity.
- Experimentally validated the model using spiral-type UMRs in gelatin phantoms.
Main Results:
- Step-out frequency decreases exponentially with increasing tissue stiffness.
- Observed frequencies ranging from ~30 Hz (400 Pa) to <1 Hz (1600 Pa).
- The model allows rapid estimation of UMR performance limits.
Conclusions:
- The developed model accurately predicts UMR step-out frequency in brain-like viscoelastic media.
- This framework facilitates efficient design and parameter optimization for UMRs.
- Enables better evaluation of magnetic microrobot capabilities for neurosurgery.

