5,008 research outputs found
Almost sure stability of long cylindrical shells with random imperfections
Liapunov method used to obtain sufficient conditions for buckling stability of long cylindrical shells with random imperfection
Ratcheted molecular-dynamics simulations identify efficiently the transition state of protein folding
The atomistic characterization of the transition state is a fundamental step
to improve the understanding of the folding mechanism and the function of
proteins. From a computational point of view, the identification of the
conformations that build out the transition state is particularly cumbersome,
mainly because of the large computational cost of generating a
statistically-sound set of folding trajectories. Here we show that a biasing
algorithm, based on the physics of the ratchet-and-pawl, can be used to
identify efficiently the transition state. The basic idea is that the
algorithmic ratchet exerts a force on the protein when it is climbing the
free-energy barrier, while it is inactive when it is descending. The transition
state can be identified as the point of the trajectory where the ratchet
changes regime. Besides discussing this strategy in general terms, we test it
within a protein model whose transition state can be studied independently by
plain molecular dynamics simulations. Finally, we show its power in
explicit-solvent simulations, obtaining and characterizing a set of
transition--state conformations for ACBP and CI2
ATP binding to a multisubunit enzyme: statistical thermodynamics analysis
Due to inter-subunit communication, multisubunit enzymes usually hydrolyze
ATP in a concerted fashion. However, so far the principle of this process
remains poorly understood. In this study, from the viewpoint of statistical
thermodynamics, a simple model is presented. In this model, we assume that the
binding of ATP will change the potential of the corresponding enzyme subunit,
and the degree of this change depends on the state of its adjacent subunits.
The probability of enzyme in a given state satisfies the Boltzmann's
distribution. Although it looks much simple, this model can fit the recent
experimental data of chaperonin TRiC/CCT well. From this model, the dominant
state of TRiC/CCT can be obtained. This study provided a new way to understand
biophysical processes by statistical thermodynamics analysis
Pathways to folding, nucleation events and native geometry
We perform extensive Monte Carlo simulations of a lattice model and the Go
potential to investigate the existence of folding pathways at the level of
contact cluster formation for two native structures with markedly different
geometries. Our analysis of folding pathways revealed a common underlying
folding mechanism, based on nucleation phenomena, for both protein models.
However, folding to the more complex geometry (i.e. that with more non-local
contacts) is driven by a folding nucleus whose geometric traits more closely
resemble those of the native fold. For this geometry folding is clearly a more
cooperative process.Comment: Accepted in J. Chem. Phy
Protein folding rates correlate with heterogeneity of folding mechanism
By observing trends in the folding kinetics of experimental 2-state proteins
at their transition midpoints, and by observing trends in the barrier heights
of numerous simulations of coarse grained, C-alpha model, Go proteins, we show
that folding rates correlate with the degree of heterogeneity in the formation
of native contacts. Statistically significant correlations are observed between
folding rates and measures of heterogeneity inherent in the native topology, as
well as between rates and the variance in the distribution of either
experimentally measured or simulated phi-values.Comment: 11 pages, 3 figures, 1 tabl
Steady-state fluctuations of a genetic feedback loop:an exact solution
Genetic feedback loops in cells break detailed balance and involve
bimolecular reactions; hence exact solutions revealing the nature of the
stochastic fluctuations in these loops are lacking. We here consider the master
equation for a gene regulatory feedback loop: a gene produces protein which
then binds to the promoter of the same gene and regulates its expression. The
protein degrades in its free and bound forms. This network breaks detailed
balance and involves a single bimolecular reaction step. We provide an exact
solution of the steady-state master equation for arbitrary values of the
parameters, and present simplified solutions for a number of special cases. The
full parametric dependence of the analytical non-equilibrium steady-state
probability distribution is verified by direct numerical solution of the master
equations. For the case where the degradation rate of bound and free protein is
the same, our solution is at variance with a previous claim of an exact
solution (Hornos et al, Phys. Rev. E {\bf 72}, 051907 (2005) and subsequent
studies). We show explicitly that this is due to an unphysical formulation of
the underlying master equation in those studies.Comment: 31 pages, 3 figures. Accepted for publication in the Journal of
Chemical Physics (2012
Accelerated Sampling of Boltzmann distributions
The sampling of Boltzmann distributions by stochastic Markov processes, can
be strongly limited by the crossing time of high (free) energy barriers. As a
result, the system may stay trapped in metastable states, and the relaxation
time to the equilibrium Boltzmann distribution may be very large compared to
the available computational time. In this paper, we show how, by a simple
modification of the Hamiltonian, one can dramatically decrease the relaxation
time of the system, while retaining the same equilibrium distribution. The
method is illustrated on the case of the one-dimensional double-well potential
Unstructured intermediate states in single protein force experiments
Recent single-molecule force measurements on single-domain proteins have
highlighted a three-state folding mechanism where a stabilized intermediate
state (I) is observed on the folding trajectory between the stretched state and
the native state. Here we investigate on-lattice protein-like heteropolymer
models that lead to a three-state mechanism and show that force experiments can
be useful to determine the structure of I. We have mostly found that I is
composed of a core stabilized by a high number of native contacts, plus an
unstructured extended chain. The lifetime of I is shown to be sensitive to
modifications of the protein that spoil the core. We then propose three types
of modifications--point mutations, cuts, and circular permutations--aiming at:
(1) confirming the presence of the core and (2) determining its location,
within one amino acid accuracy, along the polypeptide chain. We also propose
force jump protocols aiming to probe the on/off-pathway nature of I.Comment: 10 page
Steady-state simulations using weighted ensemble path sampling
We extend the weighted ensemble (WE) path sampling method to perform rigorous
statistical sampling for systems at steady state. The straightforward
steady-state implementation of WE is directly practical for simple landscapes,
but not when significant metastable intermediates states are present. We
therefore develop an enhanced WE scheme, building on existing ideas, which
accelerates attainment of steady state in complex systems. We apply both WE
approaches to several model systems confirming their correctness and efficiency
by comparison with brute-force results. The enhanced version is significantly
faster than the brute force and straightforward WE for systems with WE bins
that accurately reflect the reaction coordinate(s). The new WE methods can also
be applied to equilibrium sampling, since equilibrium is a steady state
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