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An Investigation on the Feasibility of Multimodal Acoustophoretic Control

Junqueira Perticarari, Guilherme (2025)
Department of Automatic Control
Abstract
When particles are dispersed in a microfluidic device, its resonant frequencies can be used to manipulate their positions at will. This practice, called acoustophoresis, has been shown to successfully control multiple particles simultaneously with a single vibrating actuator, which is a low-cost and contactless alternative to existing particle manipulation methods, and whose applications include isolating Circulating Tumor Cells from blood samples. This work is an investigation into when and how this system can be controlled, with the former leading to a theoretical investigation on the system’s controllability under varying numbers of particles and actuation frequencies, and the latter, to novel local optimization algorithms that achieve... (More)
When particles are dispersed in a microfluidic device, its resonant frequencies can be used to manipulate their positions at will. This practice, called acoustophoresis, has been shown to successfully control multiple particles simultaneously with a single vibrating actuator, which is a low-cost and contactless alternative to existing particle manipulation methods, and whose applications include isolating Circulating Tumor Cells from blood samples. This work is an investigation into when and how this system can be controlled, with the former leading to a theoretical investigation on the system’s controllability under varying numbers of particles and actuation frequencies, and the latter, to novel local optimization algorithms that achieve state-of-theart solutions in simulated environments.
Our theoretical results show that the success rate of a random manipulation task is related to the ratio of the number of particles and frequencies, which means that a system with double the amount of particles, P, will maintain its success rate, R, if the amount of frequencies, M, is also doubled. In 1D problems with ordered frequencies, we show that the simple heuristic R(M, P) = 1 − P/M predicts the system’s controllability level reasonably well and, for more realistic systems, the controllability can be approximated using Wendel’s theorem. Moreover, we find that M ≥ 4P seems to be a requirement for a controllability level above 50%. We also introduce three model-based algorithms tha outperform state-of-the-art alternatives in our numerical simulations. These algorithms were able to reach ≈ 80% of success rate in tasks involving up to four particles, while state-of-the-art solutions like ϵ-greedy achieved ≈ 60%. These novel models are able to ’learn-on-the-go’, and since they are model-based, they can be used to steer the particles towards different directions on a whim, without any need for retraining. (Less)
Please use this url to cite or link to this publication:
author
Junqueira Perticarari, Guilherme
supervisor
organization
year
type
H3 - Professional qualifications (4 Years - )
subject
report number
TFRT-6295
other publication id
0280-5316
language
English
id
9212466
date added to LUP
2026-01-28 14:20:33
date last changed
2026-01-28 14:20:33
@misc{9212466,
  abstract     = {{When particles are dispersed in a microfluidic device, its resonant frequencies can be used to manipulate their positions at will. This practice, called acoustophoresis, has been shown to successfully control multiple particles simultaneously with a single vibrating actuator, which is a low-cost and contactless alternative to existing particle manipulation methods, and whose applications include isolating Circulating Tumor Cells from blood samples. This work is an investigation into when and how this system can be controlled, with the former leading to a theoretical investigation on the system’s controllability under varying numbers of particles and actuation frequencies, and the latter, to novel local optimization algorithms that achieve state-of-theart solutions in simulated environments.
 Our theoretical results show that the success rate of a random manipulation task is related to the ratio of the number of particles and frequencies, which means that a system with double the amount of particles, P, will maintain its success rate, R, if the amount of frequencies, M, is also doubled. In 1D problems with ordered frequencies, we show that the simple heuristic R(M, P) = 1 − P/M predicts the system’s controllability level reasonably well and, for more realistic systems, the controllability can be approximated using Wendel’s theorem. Moreover, we find that M ≥ 4P seems to be a requirement for a controllability level above 50%. We also introduce three model-based algorithms tha outperform state-of-the-art alternatives in our numerical simulations. These algorithms were able to reach ≈ 80% of success rate in tasks involving up to four particles, while state-of-the-art solutions like ϵ-greedy achieved ≈ 60%. These novel models are able to ’learn-on-the-go’, and since they are model-based, they can be used to steer the particles towards different directions on a whim, without any need for retraining.}},
  author       = {{Junqueira Perticarari, Guilherme}},
  language     = {{eng}},
  note         = {{Student Paper}},
  title        = {{An Investigation on the Feasibility of Multimodal Acoustophoretic Control}},
  year         = {{2025}},
}