Structure and properties of polymers in terms of the fractal approach

Novikov, V. U.; Козлов, Г. В.

doi:10.1070/rc2000v069n06abeh000592

Cited by 27 publications

(13 citation statements)

References 124 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thus, while the relationship 2 \ mass-FD \ 3 holds for proteins, fledgling mass-FD studies can also be effortlessly associated with the established set of treatise of polymer physics. For a comprehensive review of polymer studies with FD measures, the reader is referred to a (classic) decade-old review [36]. (The reader is also referred to Summary box 1 for a more relevant discussion).…”

Section: Approach With Residue (And Atom) Distributionmentioning

confidence: 99%

See 1 more Smart Citation

Fractal symmetry of protein interior: what have we learned?

Banerji

Ghosh

2011

Cell. Mol. Life Sci.

View full text Add to dashboard Cite

The application of fractal dimension-based constructs to probe the protein interior dates back to the development of the concept of fractal dimension itself. Numerous approaches have been tried and tested over a course of (almost) 30 years with the aim of elucidating the various facets of symmetry of self-similarity prevalent in the protein interior. In the last 5 years especially, there has been a startling upsurge of research that innovatively stretches the limits of fractal-based studies to present an array of unexpected results on the biophysical properties of protein interior. In this article, we introduce readers to the fundamentals of fractals, reviewing the commonality (and the lack of it) between these approaches before exploring the patterns in the results that they produced. Clustering the approaches in major schools of protein self-similarity studies, we describe the evolution of fractal dimension-based methodologies. The genealogy of approaches (and results) presented here portrays a clear picture of the contemporary state of fractal-based studies in the context of the protein interior. To underline the utility of fractal dimension-based measures further, we have performed a correlation dimension analysis on all of the available non-redundant protein structures, both at the level of an individual protein and at the level of structural domains. In this investigation, we were able to separately quantify the self-similar symmetries in spatial correlation patterns amongst peptide-dipole units, charged amino acids, residues with the π-electron cloud and hydrophobic amino acids. The results revealed that electrostatic environments in the interiors of proteins belonging to 'α/α toroid' (all-α class) and 'PLP-dependent transferase-like' domains (α/β class) are highly conducive. In contrast, the interiors of 'zinc finger design' ('designed proteins') and 'knottins' ('small proteins') were identified as folds with the least conducive electrostatic environments. The fold 'conotoxins' (peptides) could be unambiguously identified as one type with the least stability. The same analyses revealed that peptide-dipoles in the α/β class of proteins, in general, are more correlated to each other than are the peptide-dipoles in proteins belonging to the all-α class. Highly favorable electrostatic milieu in the interiors of TIM-barrel, α/β-hydrolase structures could explain their remarkably conserved (evolutionary) stability from a new light. Finally, we point out certain inherent limitations of fractal constructs before attempting to identify the areas and problems where the implementation of fractal dimension-based constructs can be of paramount help to unearth latent information on protein structural properties.

show abstract

Section: Approach With Residue (And Atom) Distributionmentioning

confidence: 99%

“…Indeed, a large body of excellent publications [18,24,26,36,54,139,151,152] can be found on this topic. This summary box attempts to merely augment the information provided on this topic in the section Results obtained with fractal-based investigations.…”

Section: Summary Box 1: Comparing and Contrasting Scaling Laws In Polmentioning

confidence: 99%

Fractal symmetry of protein interior: what have we learned?

Banerji

Ghosh

2011

Cell. Mol. Life Sci.

View full text Add to dashboard Cite

show abstract

“…This insures formation of a conductive PANIeHCl network in the subsurface layer of PU matrix during polymerization. Distribution of pores in a polymer has been proved to be a fractal system in many publications [18,19]. Possible interaction between functional groups of PU matrix and aniline, for example formation of hydrogen bonds of type NH/O]C or NeH/OeC between specific groups of neighboring molecules [20], may bring, in addition, orientation of PANI molecules and their conductive clusters.…”

Section: Resultsmentioning

confidence: 99%

Electrical properties and fractal behavior of polyurethane elastomer/polyaniline composites under mechanical deformation

Hrehorova

Bliznyuk

Pud

et al. 2007

Polymer

View full text Add to dashboard Cite

“…An analysis of the length of a section line performed in accordance with a published procedure [6,7] showed that it had a fractal dimensionality of 1.2-1.6 over a range of 10-1000 nm. Based on an analysis of SEM micrographs and film surface relief sections, we can conclude that a rough layer on the surface is a hierarchical multilevel geometric structure typical of fractal surfaces.…”

Section: Resultsmentioning

confidence: 99%

Characterization of polymer materials exposed at the Mir orbital space station

et al. 2013

View full text Add to dashboard Cite

The results of studies of polyimide and fluoropolymer films after a prolonged exposure at the Mir orbital space station are reported. The weight loss of external polyimide films was ~40-60%; the weight of FEP 100A fluoropolymer films remained unchanged, and the weight of F 4MB films increased by ~50%. The external and internal surfaces of polyimide films were hydrophilized. The external surface of a polyimide film acquired anisotropic properties, which manifested themselves as the shape anisotropy of liquid drops, the surface tension and the work of adhesion, the light scattering circular diagrams, and in the formation of spa tially oriented fractal structures. The appearance of anisotropic properties is a consequence of the arrange ment of a film on the station surface at an angle to the flow of atomic oxygen. The possible reactions of fast and scattered oxygen atoms, which are responsible for the chemical and structural transformations of poly imide, are discussed.

show abstract

Structure and properties of polymers in terms of the fractal approach

Cited by 27 publications

References 124 publications

Fractal symmetry of protein interior: what have we learned?

Fractal symmetry of protein interior: what have we learned?

Electrical properties and fractal behavior of polyurethane elastomer/polyaniline composites under mechanical deformation

Characterization of polymer materials exposed at the Mir orbital space station

Contact Info

Product

Resources

About