Hydrodynamics of macromolecular complexes. II. Rotation

We have used the modified Oseen hydrodynamic interaction tensor along with iterative numerical solution of the coupled hydrodynamic interaction equations to calculate the rotational diffusion coefficients of macromolecular complexes composed of nonidentical spherical subunits. For the one structure, a prolate ellipsoid of revolution, for which exact solutions are available, a subunit model with the same length and volume gives asymptotic agreement with the Perrin equations. Other structures considered include plane polygonal rings, lollipops, and dumbbells.     

Stability of macromolecular complexes

Macromolecular interactions are crucial in numerous biologic processes, yet few general principles are available that establish firm expectations for the strength of these interactions or the expected contribution of specific forces. The simplest principle would be a monotonic increase in interactions as the size of the interface grows. The exact relationship might be linear or nonlinear depending on the nature of the forces involved. Simple "linear-free energy" relationships based on atomic properties have been well documented, for example, additivity for the interaction of small molecules with solvent, and, recently, have been explored for ligand-receptor interactions. Horton and Lewis propose such additivity based on buried surface area for protein-protein complexes. We investigated macromolecular interactions and found that the highest-affinity complexes do not fulfill this simple expectation. Instead, binding free energies of the tightest macromolecular complexes are roughly constant, independent of interface size, with the notable exception of DNA duplexes. By comparing these results to an earlier study of protein-ligand interactions we find that: (1) The maximum affinity is approximately 1.5 kcal/mol per nonhydrogen atom or 120 cal/mol A(2) of buried surface area, comparable to results of our earlier work; (2) the lack of an increase in affinity with interface size is likely due to nonthermodynamic factors, such as functional and evolutionary constraints rather than some fundamental physical limitation. The implication of these results have some importance for molecular design because they suggest that: (1) The stability of any given complex can be increased significantly if desired; (2) small molecule inhibitors of macromolecular interactions are feasible; and (3) different functional classes of protein-protein complexes exhibit differences in maximal stability, perhaps in response to differing evolutionary pressures. These results are consistent with the widespread observation that proteins have not evolved to maximize thermodynamic stability, but are only marginally stable.     

Hydrodynamic properties of macromolecular complexes. I. Translation

We have developed an improved theory for calculating the translational frictional coefficients of rigid macromolecular complexes composed of unequal spherical subunits. The Yamakawa hydrodynamic interaction tensor, which improves on the Oseen tensor by taking account of the finite sizes of the frictional subunits, has been generalized to accomodate nonidentical subunits. Iterative numerical methods are described for solving the set of simultaneous hydrodynamic interaction equations, thus avoiding preaveraging. The theory is applied to prolate ellipsoids of revolution, to lollipops, and to dumbbells, and comparison is made with earlier, more approximate theories.     

Soluble macromolecular complexes involving bacterial teichoic acids.

Cell wall and membrane teichoic acids from several bacteria formed soluble complexes with polysaccharides and bovine plasma in alkyl alcohol solutions. Polysaccharides which contain different monomeric units and anomeric configurations complexed with the teichoic acids, suggesting that the interaction is relatively nonspecific. Teichoic acids complexed glycogen or bovine plasma albumin in 50 to 97% ethanol solutions. The macromolecular association between teichoic acids and polysaccharides or proteins was independent of teichoic acid size over a threefold molecular weight range. Glycerol phosphates or an acid hydrolysate of teichoic acid would not complex to either glycogen or bovine plasma albumin in ethanol. The optimal interaction between glycogen and the Bacillus subtilis lipoteichoic acid occurred between pH 4.5 and 8.2. The ability of teichoic acids to bind polysaccharides and proteins in moderate dielectric constant solvents suggests that these polymers may serve as complexing agents for hydrophilic molecules found in membranes.     

Filamentous Bacterial viruses

The filamentous bacterial virus is a simple and well-characterized model system for studying how genetic information is transformed into molecular machines. The viral DNA is a single-stranded circle coding for about 10 proteins. The major viral coat protein is largely α-helical, with about 46 amino acid residues. Several thousand identical copies of this protein in a helical array form a hollow cylindrical tube 1–2μ long, of outer diameter 60 Å and inner diameter 20 Å, with the twisted circular DNA extending down the core of the tube. Before assembly, the viral coat protein spans the cell membrane, and assembly involves extrusion of the coat from the membrane. X-ray fibre diffraction patterns of the Pf 1 species of virus at 4°C, oriented in a strong magnetic field, give three-dimensional data to 4 Å resolution. An electron density map calculated from native virus and a single iodine derivative, using the maximum entropy technique, shows a helix pitch of 5.9 Å. This may indicate a stretched A-helix, or it may indicate a partially 3₁₀ helix conformation, resulting from the fact that the coat protein is an integral membrane protein before assembly, and is still in the hydrophobic environment of other coat proteins after assembly.     

Posttranscriptional generation of macromolecular complexes

Discrete classes of mRNAs that encode functionally related proteins are associated with sequence-specific RNA-binding proteins in yeast and mammalian cells. recently reported that pre-mRNAs encoding components of inhibitory synapses are bound to neuron-specific Nova RNA-binding proteins.     

A structural perspective on the evolution of viral/cellular macromolecular complexes within the arenaviridae family of viruses

Viruses are obligatory parasites that can replicate only inside host cells. Therefore, the evolutionary drive to enter cells is immense, leading to diversification in the cell-entry strategies of viruses. One of the most critical steps for cell entry is the recognition of the target cell, a process driven by the formation of viral/host macromolecular complexes. The accumulation of recent structural data for viruses within the arenaviridae family allows us to examine how different viral species from the same viral family utilize evolutionarily-related viral glycoproteins to engage with a variety of different cellular receptors. These structural data, compared to other viruses from the coronaviridae family, hint about possible routes that such viruses use for evolving new receptor-binding capabilities, allowing them to switch from one receptor to another.     

Molecular dynamics simulations of large macromolecular complexes

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Preparation of macromolecular complexes for cryo-electron microscopy

This protocol describes the preparation of frozen-hydrated single-particle specimens of macromolecular complexes. First, it describes how to create a grid surface coated with holey carbon by first inducing holes in a Formvar film to act as a template for the holey carbon that is stable under cryo-electron microscopy (cryo-EM) conditions and is sample-friendly. The protocol then describes the steps required to deposit the homogeneous sample on the grid and to plunge-freeze the grid into liquid ethane at the temperature of liquid nitrogen, so that it is suitable for cryo-EM visualization. It takes 4-5 h to make several hundred holey carbon grids and about 1 h to make the frozen-hydrated grids. The time required for sample purification varies from hours to days, depending on the sample and the specific procedure required. A companion protocol details how to collect cryo-EM data using an FEI Tecnai transmission electron microscope that can subsequently be processed to obtain a three-dimensional reconstruction of the macromolecular complex.     

Hydrodynamic shielding of spherical subunits in macromolecular complexes

The Garcia de la Torre-Bloomfield hydrodynamic interaction tensor was used to calculate the shielding coefficient matrices for each spherical friction bead in the rigid arrays of a rod and helix. Negative values for the average shielding coefficient result for small beads adjacent to large beads, suggesting premature truncation in the series expansions employed in the hydrodynamic interaction tensor. Numerical analysis also suggests that the magnitude of geometric asymmetry is not a good measure of the extent of friction asymmetry of the molecule due to extensive hydrodynamic shielding by other subunit beads.     

Immunization against multiple viruses by using solid-matrix-antibody-antigen complexes.

We have previously shown that mice immunized with solid-matrix-antibody-antigen (SMAA) complexes in the absence of adjuvants show vigorous humoral and cell-mediated immune responses to the immunizing antigen. Here we report that various proteins involved in inducing protective immune responses to different viruses can easily and simply be incorporated into SMAA complexes and that such complexes act as powerful multivalent immunogens. Construction of such SMAA complexes may be one of the most practical and effective ways of producing multivalent subunit vaccines for use in humans and animals.     

Energy and biological evolution—III. Theoretical ecology and macromolecular self-organization

We show that the elementary models of biochemical evolutionary processes are the bases for the study of open ecological systems and macromolecular self-organisation. We deduce a biochemical analogue for the basic closed phytoplankton-zooplankton food chain. The perturbation of the Michaelis-Menten mechanism which determines the nutrient-dependent growth rate of the phytoplankton species leads to higher catastrophes for the nutrient equilibrium manifold. The umbilic models are generalizations of the equations of organization of Eigen. Work supported by an Associateship of The International Centre for Theoretical Physics, P.O. Box 586, Miramare, 34100 Trieste, Italy.     

Fluorescence of phosphotyrosine--terbium(III) complexes.

Phosphotyrosine, a biologically important protein residue, was investigated for the ability to enhance terbium (Tb3+) fluorescence. Spectroscopic analysis of the Tb3+: phosphotyrosine interaction indicated the development of a new excitation peak at 275 nm and strong Tb+ fluorescence enhancement at 488 and 540 nm that was linear over a range from 0.5 to 100 microM amino acid. Subsequent experiments comparing the ability of phosphotyrosine, phosphothreonine, phosphoserine and 20 other common non-phosphorylated amino acids showed that only phosphotyrosine produced significant Tb3+ fluorescence enhancement. Analysis of various phospho-sugars and nucleotides showed (with the expected exception of GMP) that they produced little or no significant fluorescence enhancement, indicating a further selectiveness for the phosphotyrosine: Tb3+ fluorescence enhancement event. These results establish a basis for the future use of Tb3+ fluorescence enhancement as a unique probe for the investigation of phosphotyrosine residues.