Caught in a chemical trap

Cluster analysis of time-dependent crystallographic data: Direct identification of time-independent structural intermediates

The initial output of a time-resolved macromolecular crystallography experiment is a time-dependent series of difference electron density maps that displays the time-dependent changes in underlying structure as a reaction progresses. The goal is to interpret such data in terms of a small number of crystallographically refinable, time-independent structures, each associated with a reaction intermediate; to establish the pathways and rate coefficients by which these intermediates interconvert; and thereby to elucidate a chemical kinetic mechanism. One strategy toward achieving this goal is to use cluster analysis, a statistical method that groups objects based on their similarity. If the difference electron density at a particular voxel in the time-dependent difference electron density (TDED) maps is sensitive to the presence of one and only one intermediate, then its temporal evolution will exactly parallel the concentration profile of that intermediate with time. The rationale is therefore to cluster voxels with respect to the shapes of their TDEDs, so that each group or cluster of voxels corresponds to one structural intermediate. Clusters of voxels whose TDEDs reflect the presence of two or more specific intermediates can also be identified. From such groupings one can then infer the number of intermediates, obtain their time-independent difference density characteristics, and refine the structure of each intermediate. We review the principles of cluster analysis and clustering algorithms in a crystallographic context, and describe the application of the method to simulated and experimental time-resolved crystallographic data for the photocycle of photoactive yellow protein.

Analytical trapping: extraction of time-independent structures from time-dependent crystallographic data

All chemical and biological reactions involve atomic motion, embodied in dynamic structural changes. Identifying these changes is the goal of time-resolved crystallography. The "raw" output of a time-resolved macromolecular crystallography experiment is the time-dependent set of difference electron density maps that span the desired time range and display the time-dependent changes in density (and underlying structure) as the reaction progresses. The goal is to interpret such data in terms of a small number of crystallographically refinable, time-independent structures, each associated with a reaction intermediate; to establish the pathways and rate coefficients by which the intermediates interconvert; and thus to establish a chemical kinetic mechanism. We review briefly the various strategies that may be used to achieve this goal and concentrate on two promising advances: singular value decomposition and cluster analysis. The strategies are illustrated by using data on the photocycle of the bacterial blue light photoreceptor, photoactive yellow protein.

X-ray crystallography of protein-ligand interactions

Crystal structures of protein-ligand complexes provide a detailed view of their spatial arrangement and interactions. In the case of stable, unreactive ligands, such as inhibitors or allosteric regulators, the complexes can be generated by cocrystallization or by soaking the ligand into fully grown crystals. In order to obtain highly occupied stochiometric complexes, the concentration and amount of ligand used needs to be considered. Protein complexes with reactive short-lived species that occur in chemical or binding reactions can be determined using monochromatic X-ray diffraction techniques via kinetic trapping approaches. To this end, the kinetics of the reaction has to be determined in the crystalline state and triggering methods to start the reaction need to be established. To facilitate data interpretation, the experimental conditions are usually chosen such that the peak concentration of the reactive species under investigation is maximized.

Open-ended categorization of chick-a-dee calls by black-capped chickadees (Poecile atricapilla)

The authors trained black-capped chickadees (Poecile atricapilla) in an operant discrimination with exemplars of black-capped and Carolina chick-a-dee calls, with the goal of determining whether the birds memorized the calls of conspecifics and heterospecifics or classified the calls by species. Black-capped calls served as both rewarded (S+) and unrewarded (S-) stimuli (the within-category discrimination), whereas Carolina chick-a-dee calls served as S-s (the between-category discrimination) in the black-capped chick-a-dee call S+ group. The Carolina call S+ group had Carolina calls as S+s and S-s (within-category) and black-capped calls as S-s (between-category). Both groups discriminated between call categories faster than within a call category. In 2 subsequent experiments, both S+ groups showed transfer to novel calls and propagation back to between-category calls. The results favor the hypothesis that the acoustically similar social calls of the 2 species constitute separate open-ended categories.

New results using Laue diffraction and time-resolved crystallography

Several time-resolved crystallographic structures were determined over the past year, using a variety of trapping protocols and several data collection methods. A significant theme of recent time-resolved work is the importance of parallel comparative studies on the same protein, using different experimental protocols, in order to fully characterize the structural variation of the intermediates formed in the reaction pathway.

Millisecond Laue structures of an enzyme-product complex using photocaged substrate analogs

The structure of a rate-limited product complex formed during a single initial round of turnover by isocitrate dehydrogenase has been determined. Photolytic liberation of either caged substrate or caged cofactor and Laue X-ray data collection were used to visualize the complex, which has a minimum half-life of approximately 10 milliseconds. The experiment was conducted with three different photoreactive compounds, each possessing a unique mechanism leading to the formation of the enzyme-substrate (ES) complex. Photoreaction efficiency and subsequent substrate affinities and binding rates in the crystal are critical parameters for these experiments. The structure suggests that CO2 dissociation is a rapid event that may help drive product formation, and that small conformational changes may contribute to slow product release.

Synchrotron radiation applications to macromolecular crystallography

Progress has been rapid in the development and application of four different types of macromolecular crystallographic experiment at synchrotron hard X-ray sources: multiwavelength anomalous diffraction; studies of crystals with very large unit cell dimensions; structure determination at atomic or near-atomic resolution; and time-resolved studies. The results illustrate the interplay between the advanced technical capabilities available at new beamlines and more challenging scientific issues.