91 research outputs found
Design of Force Fields from Data at Finite Temperature
We investigate the problem of how to obtain the force field between atoms of
an experimentally determined structure. We show how this problem can be
efficiently solved, even at finite temperature, where the position of the atoms
differs substantially from the ground state. We apply our method to systems
modeling proteins and demonstrate that the correct potentials can be recovered
even in the presence of thermal noise.Comment: 10 pages, 1 postcript figure, Late
Protein Evolution within a Structural Space
Understanding of the evolutionary origins of protein structures represents a
key component of the understanding of molecular evolution as a whole. Here we
seek to elucidate how the features of an underlying protein structural "space"
might impact protein structural evolution. We approach this question using
lattice polymers as a completely characterized model of this space. We develop
a measure of structural comparison of lattice structures that is analgous to
the one used to understand structural similarities between real proteins. We
use this measure of structural relatedness to create a graph of lattice
structures and compare this graph (in which nodes are lattice structures and
edges are defined using structural similarity) to the graph obtained for real
protein structures. We find that the graph obtained from all compact lattice
structures exhibits a distribution of structural neighbors per node consistent
with a random graph. We also find that subgraphs of 3500 nodes chosen either at
random or according to physical constraints also represent random graphs. We
develop a divergent evolution model based on the lattice space which produces
graphs that, within certain parameter regimes, recapitulate the scale-free
behavior observed in similar graphs of real protein structures.Comment: 27 pages, 7 figure
Investigations of propagation, reflection and action on plasma of stochastic electromagnetic radiation
The broadband generator of stochastic electromagnetic oscillations in a decimetric band of waves lengths with output power ≈ 0,3 W is described. The epitaxial-planar VHF transistors of КТ911 type terminated by ring microstrips are used as an active elements. Electrical and amplitude-frequency characteristics of the generator are given. Spectral characteristics of oscillations were investigated by methods of correlation and phase-frequency analysis. We established, that oscillations have non-regular character with appreciable phases jumps.. The stochastic VHF oscillation with such characteristics will be used for investigation of its transmission, reflection and action on plasma
Protein folding using contact maps
We present the development of the idea to use dynamics in the space of
contact maps as a computational approach to the protein folding problem. We
first introduce two important technical ingredients, the reconstruction of a
three dimensional conformation from a contact map and the Monte Carlo dynamics
in contact map space. We then discuss two approximations to the free energy of
the contact maps and a method to derive energy parameters based on perceptron
learning. Finally we present results, first for predictions based on threading
and then for energy minimization of crambin and of a set of 6 immunoglobulins.
The main result is that we proved that the two simple approximations we studied
for the free energy are not suitable for protein folding. Perspectives are
discussed in the last section.Comment: 29 pages, 10 figure
Nucleation phenomena in protein folding: The modulating role of protein sequence
For the vast majority of naturally occurring, small, single domain proteins
folding is often described as a two-state process that lacks detectable
intermediates. This observation has often been rationalized on the basis of a
nucleation mechanism for protein folding whose basic premise is the idea that
after completion of a specific set of contacts forming the so-called folding
nucleus the native state is achieved promptly. Here we propose a methodology to
identify folding nuclei in small lattice polymers and apply it to the study of
protein molecules with chain length N=48. To investigate the extent to which
protein topology is a robust determinant of the nucleation mechanism we compare
the nucleation scenario of a native-centric model with that of a sequence
specific model sharing the same native fold. To evaluate the impact of the
sequence's finner details in the nucleation mechanism we consider the folding
of two non- homologous sequences. We conclude that in a sequence-specific model
the folding nucleus is, to some extent, formed by the most stable contacts in
the protein and that the less stable linkages in the folding nucleus are solely
determined by the fold's topology. We have also found that independently of
protein sequence the folding nucleus performs the same `topological' function.
This unifying feature of the nucleation mechanism results from the residues
forming the folding nucleus being distributed along the protein chain in a
similar and well-defined manner that is determined by the fold's topological
features.Comment: 10 Figures. J. Physics: Condensed Matter (to appear
Statistical properties of contact vectors
We study the statistical properties of contact vectors, a construct to
characterize a protein's structure. The contact vector of an N-residue protein
is a list of N integers n_i, representing the number of residues in contact
with residue i. We study analytically (at mean-field level) and numerically the
amount of structural information contained in a contact vector. Analytical
calculations reveal that a large variance in the contact numbers reduces the
degeneracy of the mapping between contact vectors and structures. Exact
enumeration for lengths up to N=16 on the three dimensional cubic lattice
indicates that the growth rate of number of contact vectors as a function of N
is only 3% less than that for contact maps. In particular, for compact
structures we present numerical evidence that, practically, each contact vector
corresponds to only a handful of structures. We discuss how this information
can be used for better structure prediction.Comment: 20 pages, 6 figure
Abundance of unknots in various models of polymer loops
A veritable zoo of different knots is seen in the ensemble of looped polymer
chains, whether created computationally or observed in vitro. At short loop
lengths, the spectrum of knots is dominated by the trivial knot (unknot). The
fractional abundance of this topological state in the ensemble of all
conformations of the loop of segments follows a decaying exponential form,
, where marks the crossover from a mostly unknotted
(ie topologically simple) to a mostly knotted (ie topologically complex)
ensemble. In the present work we use computational simulation to look closer
into the variation of for a variety of polymer models. Among models
examined, is smallest (about 240) for the model with all segments of the
same length, it is somewhat larger (305) for Gaussian distributed segments, and
can be very large (up to many thousands) when the segment length distribution
has a fat power law tail.Comment: 13 pages, 6 color figure
Classes of fast and specific search mechanisms for proteins on DNA
Problems of search and recognition appear over different scales in biological
systems. In this review we focus on the challenges posed by interactions
between proteins, in particular transcription factors, and DNA and possible
mechanisms which allow for a fast and selective target location. Initially we
argue that DNA-binding proteins can be classified, broadly, into three distinct
classes which we illustrate using experimental data. Each class calls for a
different search process and we discuss the possible application of different
search mechanisms proposed over the years to each class. The main thrust of
this review is a new mechanism which is based on barrier discrimination. We
introduce the model and analyze in detail its consequences. It is shown that
this mechanism applies to all classes of transcription factors and can lead to
a fast and specific search. Moreover, it is shown that the mechanism has
interesting transient features which allow for stability at the target despite
rapid binding and unbinding of the transcription factor from the target.Comment: 65 pages, 23 figure
Incorporating background frequency improves entropy-based residue conservation measures
BACKGROUND: Several entropy-based methods have been developed for scoring sequence conservation in protein multiple sequence alignments. High scoring amino acid positions may correlate with structurally or functionally important residues. However, amino acid background frequencies are usually not taken into account in these entropy-based scoring schemes. RESULTS: We demonstrate that using a relative entropy measure that incorporates amino acid background frequency results in improved performance in identifying functional sites from protein multiple sequence alignments. CONCLUSION: Our results suggest that the application of appropriate background frequency information may lead to more biologically relevant results in many areas of bioinformatics
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