A molecular motor is made of either a single macromolecule or a macromolecular complex.
Just like their macroscopic counterparts, molecular motors “transduce” input energy into …

Super-resolution microscopy provides direct insight into fundamental biological processes
occurring at length scales smaller than light's diffraction limit. The analysis of data at such …

In the 1990s, nanoparticles and quantum dots began to be used in optical, electronic, and
biological applications. Now they are being studied for use in solid-state quantum …

The purpose of time series analysis via mechanistic models is to reconcile the known or
hypothesized structure of a dynamical system with observations collected over time. We …

Advances in nanotechnology have allowed scientists to study biological processes on an
unprecedented nanoscale molecule-by-molecule basis, opening the door to addressing …

Conformational dynamics of a single molecule can be studied using Förster resonance
energy transfer (FRET) by recording a sequence of photons emitted by a donor and an …

We introduce a novel particle filter scheme for a class of partially observed multivariate
diffusions. We consider a variety of observation schemes, including diffusion observed with …

We introduce a new sampling algorithm, the equi-energy sampler, for efficient statistical
sampling and estimation. Complementary to the widely used temperature-domain methods …

Under relatively mild conditions, we show how one can extract information about
conformational dynamics from Förster resonance energy transfer (FRET) experiments on …

The random walk Metropolis (RWM) is one of the most common Markov chain Monte Carlo
algorithms in practical use today. Its theoretical properties have been extensively explored …