Research
Current and Previous Research Focus and Projects
Our research focuses on developing and implementing novel scientific computing methods targeting a wide range of electromagnetic (EM), acoustic and optical phenomena, with a focus on brain stimulation/science and other biomedical applications. The techniques we are developing enable scientists and engineers to analyze and develop new medical technologies, reducing their reliance on extensive design experiments and prototyping. Our current research directions are the following:
Uncertainty Quantification (UQ)
- Stochastic partial differential equation approaches for discretizing shape uncertainty and modeling segmentation errors in MRI
- Group level computational E-field dosimetry for optimization of clinical transcranial magnetic stimulation
Computational Design and Fabrication
- Focal and deep transcranial magnetic stimulation coil design
- Transcranial magnetic stimulation system design and fabrication
- Magneto-acoustic tomography using magnetic induction
Fast Algorithms
- Real-time E-field dosimetry for E-field informed neuronavigation of transcranial magnetic stimulation
- Tensor Completion algorithms, fast direct volume integral equation solvers, and other optimal complexity solvers
Analysis
- Multiscale and Multiphysics neuron and E-field solvers
- Novel volume integral equations for broad frequency and material parameter electromagnetic analysis
- Coupled acoustic and electromagnetic integral equations
Other Products