Related Experiment Video
Updated: Aug 6, 2026

A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings
Published on: September 30, 2019
From Displacement to Angle: Diamond-Based 3D Rotation Sensing for High-Precision Cellular Force Measurement
Linjie Ma1, Bicong Wang2, Tai Nam Yip1
1Department of Electrical and Computer Engineering, the University of Hong Kong, Hong Kong SAR, Hong Kong.
We developed a new method to measure cellular traction forces using fluorescent nanodiamonds (FNDs) to track micropillar rotation. This angular force microscopy approach offers higher precision and captures 3D deformations missed by traditional displacement-based methods.
Area of Science:
- Mechanobiology
- Biophysics
- Materials Science
Background:
- Cellular traction forces are crucial for cell migration and tissue development.
- Conventional methods track bead/micropillar displacement, which can be inaccurate for large deformations.
- Existing techniques often overlook 3D pillar movements and can introduce geometric-nonlinearity errors.
Purpose of the Study:
- To introduce a novel method for quantifying cellular forces using pillar rotation.
- To enhance the precision and scope of force measurements in mechanobiology.
- To overcome limitations of displacement-based force sensing techniques.
Main Methods:
- Utilized fluorescent nanodiamonds (FNDs) as 3D orientation markers embedded in polydimethylsiloxane (PDMS) micropillars.
- Integrated optically detected magnetic resonance (ODMR) with laser polarization modulation (LPM) for precise FND orientation determination (∼0.5°).
- Developed an angle-based measurement framework for force reconstruction from pillar rotation.
Main Results:
- Demonstrated sub-degree precision in determining FND 3D orientation within micropillars.
- Showcased robust force reconstruction for stocky beams and large deformations via pillar rotation.
- Finite-element simulations confirmed >10% reduction in force estimation errors compared to displacement methods.
- Successfully captured 3D pillar deformations (bending, in-plane rotation) previously inaccessible.
Conclusions:
- Established diamond-based angular force microscopy as a high-precision platform for mechanobiology.
- The new method provides a more accurate and comprehensive analysis of cellular forces.
- This technique opens new avenues for studying cell-environment interactions.
Related Concept Videos
Three-Dimensional Force System
Angular Velocity and Displacement
Relative Motion Analysis using Rotating Axes-Problem Solving
Here, in order to determine the magnitude of velocity and acceleration for point...

