51 citations · 202 across the 13 of their papers we have counts for
13 papers
Contactless Precision Steering of Particles in a Fluid inside a Cube with Rotating Walls
Lucas Amoudruz, Petr Karnakov, Petros Koumoutsakos
Contactless manipulation of small objects is essential for biomedical and chemical applications, such as cell analysis, assisted fertilisation, and precision chemistry. Established…
Optimal Navigation in Microfluidics via the Optimization of a Discrete Loss
Petr Karnakov, Lucas Amoudruz, Petros Koumoutsakos
Optimal path planning and control of microscopic devices navigating in fluid environments is essential for applications ranging from targeted drug delivery to environmental monitor…
Reinforcement Learning Closures for Underresolved Partial Differential Equations using Synthetic Data
Lothar Heimbach, Sebastian Kaltenbach, Petr Karnakov +2
Partial Differential Equations (PDEs) describe phenomena ranging from turbulence and epidemics to quantum mechanics and financial markets. Despite recent advances in computational…
Physics-Regularized Multi-Modal Image Assimilation for Brain Tumor Localization
Michal Balcerak, Tamaz Amiranashvili, Andreas Wagner +7
Physical models in the form of partial differential equations serve as important priors for many under-constrained problems. One such application is tumor treatment planning, which…
Data-driven shape inference in three-dimensional steady state supersonic flows using ODIL and JAX-Fluids
Aaron B. Buhendwa, Deniz A. Bezgin, Petr Karnakov +2
We present a novel data- and first-principles-driven method for inferring the shape of a solid obstacle and its flow field in three-dimensional steady-state supersonic flows. The m…
Individualizing Glioma Radiotherapy Planning by Optimization of Data and Physics-Informed Discrete Loss
Michal Balcerak, Jonas Weidner, Petr Karnakov +8
Brain tumor growth is unique to each glioma patient and extends beyond what is visible in imaging scans, infiltrating surrounding brain tissue. Understanding these hidden patient-s…