Abstract
Many important microfluid applications require the control and transport of particles immersed in a fluid. We propose a model for automatically planning good trajectories from an arbitrary point to a target in the presence of obstacles. It can be used for the manipulation of particles using actuators of mechanical or electrical type. We present the mathematical formulation of the model and a numerical method based on the optimization of travel time through the Bellman's principle. The implementation is focused on square grids such as those built from pixelated images. Numerical simulations show that the trajectory tree produced by the algorithm successfully avoids obstacles and stagnant regions of the fluid domain.
Highlights
Particle manipulation is an important topic in microfluidics, a science that studies the behavior of small-scale fluids
Some interesting examples are the microfluidic device presented in [13] or the use of optical tweezers as tools to move in a controlled way individual particles, as shown in [6]
We study the manipulation of a particle in a microfluidic device in the two-dimensional case, the extension to 3D being immediate
Summary
Particle manipulation is an important topic in microfluidics, a science that studies the behavior of small-scale fluids. A growing interest exists in the steering of particles in microfluidic systems, especially in the biological and medical fields, to analize elements of very small size such as proteins or DNA. Improving the ability to manipulate and to steer particles in microfluidics can allow to better examine, control and treat biological materials. Some interesting examples are the microfluidic device presented in [13] or the use of optical tweezers as tools to move in a controlled way individual particles, as shown in [6]. The control of the trajectory of particles immersed in a fluid by boundary actuators is the topic presented in the articles by Chaudhary and Shapiro [4] and Tuval et al [12]. In Armani et al, [1] and [2], some examples can be found of the use of control
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