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Rapid and Efficient Computation of Cell Paths During Ultrasonic Focusing
Charles F Babbs1, Mary V Lang1
1Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA.
Ultrasonic Imaging
|August 30, 2023
Summary
This study analyzes the physics of moving white blood cell-sized particles using acoustic waves. It provides a mathematical model to optimize ultrasonic cell focusing and concentration in fluids.
Area of Science:
- Biophysics
- Acoustic physics
- Cellular mechanics
Background:
- Acoustic waves are used to focus and concentrate cells in fluids.
- Existing methods gently move cells towards standing wave nodes.
- Understanding the underlying biomechanics is crucial for optimizing this process.
Purpose of the Study:
- To analyze the first-principles physics of white blood cell movement in acoustic fields.
- To develop a mathematical model for acoustic particle manipulation.
- To guide optimization of emerging ultrasonic cell focusing applications.
Main Methods:
- Biophysical analysis of particle movement in acoustic pressure waves.
- Analysis within the viscous regime of water for microscopic spheroids.
- Development of a single algebraic expression for particle drift velocity.
Main Results:
- A mathematical model was derived for particle creep or drift velocity.
- The model incorporates sound frequency, amplitude, wavelength, viscosity, and boundary conditions.
- A numerical algorithm allows for time-dependent particle movement simulation.
Conclusions:
- The derived expression and numerical algorithm can optimize ultrasonic cell focusing.
- This work provides a guide for emerging applications in cell concentration.
- Understanding the physics enables more efficient acoustic manipulation of cells.
