Replication Dynamics

Abstract:

Thermally activated barrier-crossing processes are central to protein reaction kinetics. A determining factor for such kinetics is the extent to which the protein's motions are coupled to the surrounding bath. It is understood that slow large-scale conformational motions are strongly coupled to the environment, while fast librational motions are uncoupled. However, less is known about protein-bath coupling of reaction coordinates located on the interior of a protein and with dynamics on intermediate time scales. In this work, we use single molecule 2D fluorescence lifetime correlation spectroscopy to study the microsecond chemical reaction occurring in the chromophore pocket of eGFP. The equilibrium reaction involves a dihedral rotation of a glutamic acid residue and a rearrangement of the local hydrogen-bonding network surrounding the endogenous chromophore, with no accompanying large-scale conformational changes. We observe that the internal chemical reaction is coupled to the solvent viscosity, though the scaling deviates from Kramers' behavior. We attribute this deviation to the internal friction of the protein, which weakens the protein-solvent coupling at high viscosity and intermediate time scales.

Abstract:

Fluorescence spectroscopy at the single-molecule scale has been indispensable for studying conformational dynamics and rare states of biological macromolecules. Single-molecule two-dimensional (2D) fluorescence lifetime correlation spectroscopy is an emerging technique that holds promise for the study of protein and nucleic acid dynamics, as the technique is 1) capable of resolving conformational dynamics using a single chromophore, 2) resolves forward and reverse transitions independently, and 3) has a dynamic window ranging from microseconds to seconds. However, the calculation of a 2D fluorescence relaxation spectrum requires an inverse Laplace transform (ILT), which is an ill-conditioned inversion that must be estimated numerically through a regularized minimization. Current methods for performing ILTs of fluorescence relaxation can be computationally inefficient, sensitive to noise corruption, and difficult to implement. Here, we adopt an approach developed for NMR spectroscopy (T1-T2 relaxometry) to perform one-dimensional (1D) and 2D-ILTs on single-molecule fluorescence spectroscopy data using singular-valued decomposition and Tikhonov regularization. This approach provides fast, robust, and easy to implement Laplace inversions of single-molecule fluorescence data. We compare this approach to the widely used maximal entropy method.