Numerical Algorithms

arrow--left

Reconstruction of a symmetric protein from cryo electron microscopy data. Our research includes frequency-marching algorithms and automatic identification of multiple protein configurations.

Reconstruction of a symmetric protein from cryo electron microscopy data. Our research includes frequency-marching algorithms and automatic identification of multiple protein configurations.

The ISOSPLIT algorithm is the core of our MountainSort software package for spike sorting of electrode recordings from the brains of behaving animals. It rapidly clusters unimodal distributions in moderate dimensions, without adjustable parameters.

Simulation of pressure-driven viscous fluid flow around 1,000 close-to-touching 2D obstacles, with periodic boundary conditions. Boundary integral equations, quadrature and fast algorithms enable 10-digit accuracy in just a few hours on a desktop.

The Numerical Algorithms group develops new computational and statistical methods for the analysis of large, complex datasets and for the accurate numerical simulation of biological processes.

Our application areas include neuroscience, microscopy, systems biology and fluid flow. Our approaches range from mathematical and numerical analysis to the creation and support of efficient software. We currently focus on 1) developing and benchmarking codes for identifying neural firing events in electrophysiological recordings (spike sorting); 2) algorithms to determine the 3-D structure of proteins and protein complexes from electron microscopy data (cryo-EM); 3) statistical analysis of microbial interactions in the ocean from genetic sequencing and time-series data; 4) accurate solution of partial differential equations that model complex biological fluid flows, and 5) software libraries for fundamental tasks in data analysis and scientific computing.

Research Highlights

News & Announcements

Group Members

Software

Advancing Research in Basic Science and MathematicsSubscribe to Flatiron Institute announcements and other foundation updates