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At least 19 recordsLinked to original sources

Self-organization in macromolecular systems: the notion of adaptive value.

Self-organization in macromolecular systems refers to the transition from a random assembly of interacting oligomers to a system of stable heteropolymers. The concept of adaptive value describes the correlation between environmental variability and the variability in replication and mutation rates of the interacting oligomers. This paper describes a model of self-organization in macromolecular systems based on the concept of adaptive value. The equilibrium states of a set of interacting polymers are described by states that maximize the adaptive value. The analytic basis for this notion of equilibrium, which is called the adaptive value principle, is given and this principle is invoked to explain two examples of macromolecular self-assembly.

Base Sequence↗

Application of promolecular ASA densities to graphical representation of density functions of macromolecular systems.

In this article we report the application of the Promolecular Atomic Shell Approximation (Promolecular ASA) to the graphical representation of the density function (DF) of large macromolecular systems. Promolecular ASA DF, constructed from previously computed and fitted atomic densities, provides a fast and practical representation of Molecular IsoDensity Contours (MIDCOs). These representations can be extended to macromolecular systems composed by > 1000 atoms easily and with low computational costs, allowing the visualization of protein DF. The method is at first presented with a small molecule (2,4,6-trinitrophenol), comparing the resulting ASA MIDCOs with direct ab initio contours. For macromolecular tests the Promolecular ASA densities are also applied to the generation of macromolecular density surfaces of two proteins: myoglobin (2541 atoms) and gene V protein (1362 atoms).

Computer Graphics↗

Chemical oscillations in closed macromolecular systems.

A cycle of irreversible, first-order, autocatalytic reactions among different states of a polyfunctional macromolecule, subject to the conservation of mass, can display stable chemical oscillations. This introduces a class of nonlinear dynamic models for energy transduction in closed macromolecular systems.

Chemical Phenomena↗

Calculation of the total electrostatic energy of a macromolecular system: solvation energies, binding energies, and conformational analysis.

In this report we describe an accurate numerical method for calculating the total electrostatic energy of molecules of arbitrary shape and charge distribution, accounting for both Coulombic and solvent polarization terms. In addition to the solvation energies of individual molecules, the method can be used to calculate the electrostatic energy associated with conformational changes in proteins as well as changes in solvation energy that accompany the binding of charged substrates. The validity of the method is examined by calculating the hydration energies of acetate, methyl ammonium, ammonium, and methanol. The method is then used to study the relationship between the depth of a charge within a protein and its interaction with the solvent. Calculations of the relative electrostatic energies of crystal and misfolded conformations of Themiste dyscritum hemerythrin and the VL domain of an antibody are also presented. The results indicate that electrostatic charge-solvent interactions strongly favor the crystal structures. More generally, it is found that charge-solvent interactions, which are frequently neglected in protein structure analysis, can make large contributions to the total energy of a macromolecular system.

Binding, Competitive↗

Light-scattering investigations of nucleation processes and kinetics of crystallization in macromolecular systems.

Quasi-elastic light scattering (QELS) was used to investigate quantitatively the mechanisms of nucleation, postnucleation growth, and dissolution in ensembles of both crystalline and amorphous aggregates of satellite tobacco mosaic virus (STMV), ferritin, apoferritin and pumpkin seed globulin. At low supersaturation conditions, as described previously for small molecule crystallization, the metastable region was obtained. Under these conditions aggregation took place, but crystallization did not proceed and critical nuclei did not form over a long period of time. The critical solution supersaturation necessary to obtain crystals, sigma = ln(c/s) where c and s are concentration and solubility of protein, varied from approximately 0.1 for pumpkin seed globulin to approximately 0.9 for STMV. For higher supersaturation conditions when aggregation processes leading to formation of crystals are not established immediately but after a certain induction period, the supersaturation-dependent critical nuclear size, R(c), for different macromolecular systems was estimated from time-dependent size-distribution analyses to be in the range of approximately 10(3) for proteins such as pumpkin globulin to approximately 10 for virus particles. From the same data, the molar interfacial free energy was deduced to be 3.3-9.2 kJ mol(-1). These are believed to be among the first estimates for macromolecular crystals. Under conditions of moderate supersaturation where induction periods preceded the appearance of critical nuclei, the potential barriers for formation were estimated to be in the range 8.3-50 kJ mol(-1). Growth and dissolution kinetics for pumpkin seed globulin were investigated. These experiments allowed determination of protein solubility versus solution temperature, protein and precipitant concentrations. Aggregation patterns which lead to crystal formation are distinctly different to those which produce an amorphous precipitate. The results provide additional evidence that QELS can be used to find general criteria that allow one to discriminate between conditions for a given protein system leading to crystalline or amorphous states at early stages of the aggregation process.

Journal Article↗

Selection and evolution in macromolecular systems.

The notion of a quasi-species represents the ensemble of macromolecular sequences derived by the mechanism of mutation and replication from a single wild type. In Eigen (1971) and Eigen & Schuster (1979), the deterministic evolution of this ensemble under constant environmental conditions is given in terms of continuous models which describe the dynamics of the distribution of polynucleotides. This paper starts from a discrete model of macromolecular evolution and introduces the notion of a genealogy in order to study the dynamics of the quasi-species in constant and variable environments. We introduce, in terms of these genealogies, the notions of entropy and adaptive value of a quasi-species and the notion of capacity of the environment. We discuss the significance of these indices as measures of selective value and we analyse the conditions under which these measures coincide with the growth rate of the quasi-species.

Base Sequence↗

Velocity of linear crystallization of ice in macromolecular systems.

The velocity of ice crystallization in gelled systems was compared with that in solutions of similar macromolecular materials. Neither the constituting material nor the dimensions of the tubes in which the measurements were made influenced the results. The velocity of linear crystallization of ice was slowed in macromolecular solutions and gels, and this decrease was not associated with changes in dynamic or thermodynamic properties of water. It was probably the consequence of a mechanical effect of the macromolecules directly on ice crystal growth.

Crystallization↗

The effects of osmotic and hydrostatic pressures on macromolecular systems.

Osmotic pressure and hydrostatic pressure can be used effectively to probe the behavior of biologically important macromolecules and their complexes. Using the two techniques requires a theoretical framework as well as knowledge of the more common pitfalls. Both are discussed in this review in the context of several examples.

Animals↗