Optimal Navigation in Microfluidics via the Optimization of a Discrete Loss

Optimal path planning and control of microscopic devices navigating in fluid environments is essential for applications ranging from targeted drug delivery to environmental monitoring. These tasks are challenging due to the complexity of microdevice-flow interactions. We introduce a closed-loop control method that optimizes a discrete loss (ODIL) in terms of dynamics and path objectives. In comparison with reinforcement learning, ODIL is more robust, up to 3 orders faster, and excels in high-dimensional action and state spaces, making it a powerful tool for navigating complex flow environments.