Search results for "Biomolecule"

showing 10 items of 666 documents

Conformations, Transverse Fluctuations and Crossover Dynamics of a Semi-Flexible Chain in Two Dimensions

2014

We present a unified scaling description for the dynamics of monomers of a semiflexible chain under good solvent condition in the free draining limit. We consider both the cases where the contour length $L$ is comparable to the persistence length $\ell_p$ and the case $L\gg \ell_p$. Our theory captures the early time monomer dynamics of a stiff chain characterized by $t^{3/4}$ dependence for the mean square displacement(MSD) of the monomers, but predicts a first crossover to the Rouse regime of $t^{2\nu/{1+2\nu}}$ for $\tau_1 \sim \ell_p^3$, and a second crossover to the purely diffusive dynamics for the entire chain at $\tau_2 \sim L^{5/2}$. We confirm the predictions of this scaling descr…

PolymersCrossoverMolecular ConformationGeneral Physics and AstronomyFOS: Physical sciencesMolecular Dynamics SimulationCondensed Matter - Soft Condensed MatterChain (algebraic topology)Statistical physicsPhysics - Biological PhysicsPhysical and Theoretical ChemistryScalingBrownian motionPhysicsPersistence lengthQuantitative Biology::BiomoleculesMathematics::Functional AnalysisModels TheoreticalSolutionsCondensed Matter::Soft Condensed MatterMean squared displacementLennard-Jones potentialBiological Physics (physics.bio-ph)SolventsBrownian dynamicsSoft Condensed Matter (cond-mat.soft)
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A Monte Carlo Study of Knots in Long Double-Stranded DNA Chains.

2016

We determine knotting probabilities and typical sizes of knots in double-stranded DNA for chains of up to half a million base pairs with computer simulations of a coarse-grained bead-stick model: Single trefoil knots and composite knots which include at least one trefoil as a prime factor are shown to be common in DNA chains exceeding 250,000 base pairs, assuming physiologically relevant salt conditions. The analysis is motivated by the emergence of DNA nanopore sequencing technology, as knots are a potential cause of erroneous nucleotide reads in nanopore sequencing devices and may severely limit read lengths in the foreseeable future. Even though our coarse-grained model is only based on …

PolymersMaterials by StructureMolecular biologyMaterials ScienceElectrophoretic techniquesDNA electrophoresisNucleotide SequencingMolecular Dynamics SimulationBiochemistryNanoporesSequencing techniquesMathematical and Statistical Techniquesstomatognathic systemGeneticsBiochemical SimulationsNanotechnologyDNA sequencingMaterials by AttributeNanomaterialsQuantitative Biology::BiomoleculesBiology and life sciencesMathematical Modelsfood and beveragesComputational BiologyDNAPolymer ChemistryMathematics::Geometric TopologyResearch and analysis methodsNucleic acidsChemistrysurgical procedures operativeMolecular biology techniquesMacromoleculesRandom WalkPhysical SciencesNucleic Acid ConformationEngineering and TechnologyMonte Carlo MethodResearch ArticlePLoS computational biology
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A Characterization of Quintic Helices

2005

A polynomial curve of degree 5, @a, is a helix if and only if both @[email protected]^'@? and @[email protected]^'@[email protected]^''@? are polynomial functions.

PolynomialTheorem of LancreteducationComputingMilieux_LEGALASPECTSOFCOMPUTINGCharacterization (mathematics)behavioral disciplines and activitiesMathematics::Algebraic TopologyCombinatoricsMathematics - Geometric TopologyTheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITYhealth services administrationComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONFOS: Mathematicshealth care economics and organizationsMathematicsPhysics::Biological PhysicsQuantitative Biology::BiomoleculesDegree (graph theory)InformationSystems_INFORMATIONSYSTEMSAPPLICATIONSApplied MathematicsMathematical analysisGeometric Topology (math.GT)Pythagorean hodograph curveshumanitiesQuintic functionComputational MathematicsGeneralized polynomial helices
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Sequence Determines Degree of Knottedness in a Coarse-Grained Protein Model

2015

Knots are abundant in globular homopolymers but rare in globular proteins. To shed new light on this long-standing conundrum, we study the influence of sequence on the formation of knots in proteins under native conditions within the framework of the hydrophobic-polar (HP) lattice protein model. By employing large scale Wang-Landau simulations combined with suitable Monte Carlo trial moves we show that, even though knots are still abundant on average, sequence introduces large variability in the degree of self-entanglements. Moreover, we are able to design sequences which are either almost always or almost never knotted. Our findings serve as proof of concept that the introduction of just o…

Protein ConformationFOS: Physical sciencesGeneral Physics and AstronomyCondensed Matter - Soft Condensed Matterstomatognathic systemComputer SimulationMathematicsSequence (medicine)chemistry.chemical_classificationQuantitative Biology::BiomoleculesDegree (graph theory)Proteinsfood and beveragesBiomolecules (q-bio.BM)Knot theoryAmino acidsurgical procedures operativeModels ChemicalQuantitative Biology - BiomoleculeschemistryFOS: Biological sciencesProtein modelSoft Condensed Matter (cond-mat.soft)Biological systemHydrophobic and Hydrophilic InteractionsMonte Carlo MethodPhysical Review Letters
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The impact of high hydrostatic pressure on structure and dynamics of beta-lactoglobulin

2013

Abstract Methods Combining small-angle X-ray and neutron scattering measurements with inelastic neutron scattering experiments, we investigated the impact of high hydrostatic pressure on the structure and dynamics of β-lactoglobulin (βLG) in aqueous solution. Background βLG is a relatively small protein, which is predominantly dimeric in physiological conditions, but dissociates to monomer below about pH 3. Results High-pressure structural results show that the dimer–monomer equilibrium, as well as the protein–protein interactions, are only slightly perturbed by pressure, and βLG unfolding is observed above a threshold value of 3000 bar. In the same range of pressure, dynamical results put …

Protein ConformationHydrostatic pressureBiophysics02 engineering and technologyLactoglobulinsProtein dynamicsNeutron scatteringNeutron scattering010402 general chemistry01 natural sciencesBiochemistryInelastic neutron scatteringchemistry.chemical_compound[SDV.BBM]Life Sciences [q-bio]/Biochemistry Molecular BiologyProtein foldingMolecular BiologyHydrostatic pressureQuantitative Biology::BiomoleculesAqueous solutionSmall angle X-ray and neutron scatteringProtein dynamics021001 nanoscience & nanotechnology0104 chemical sciencesCrystallographyMonomerchemistryChemical physicsCompressibilityProtein folding0210 nano-technology
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Reconstructing the free-energy landscape of Met-enkephalin using dihedral principal component analysis and well-tempered metadynamics

2013

Well-Tempered Metadynamics (WTmetaD) is an efficient method to enhance the reconstruction of the free-energy surface of proteins. WTmetaD guarantees a faster convergence in the long time limit in comparison with the standard metadynamics. It still suffers however from the same limitation, i.e. the non trivial choice of pertinent collective variables (CVs). To circumvent this problem, we couple WTmetaD with a set of CVs generated from a dihedral Principal Component Analysis (dPCA) on the Ramachadran dihedral angles describing the backbone structure of the protein. The dPCA provides a generic method to extract relevant CVs built from internal coordinates. We illustrate the robustness of this …

Protein ConformationSurface PropertiesEnkephalin MethionineFOS: Physical sciencesGeneral Physics and AstronomyDihedral angle01 natural scienceslaw.invention03 medical and health scienceslaw0103 physical sciencesComputer SimulationCartesian coordinate systemPhysics - Biological PhysicsStatistical physicsPhysical and Theoretical ChemistryProtein secondary structureReference modelComputingMilieux_MISCELLANEOUS030304 developmental biologyMathematicsPrincipal Component AnalysisQuantitative Biology::Biomolecules0303 health sciences010304 chemical physicsMetadynamicsEnergy landscapeBiomolecules (q-bio.BM)Condensed Matter - Other Condensed Matter[CHIM.THEO]Chemical Sciences/Theoretical and/or physical chemistryQuantitative Biology - BiomoleculesBiological Physics (physics.bio-ph)FOS: Biological sciencesPrincipal component analysis[ CHIM.THEO ] Chemical Sciences/Theoretical and/or physical chemistryPhysics::Accelerator PhysicsThermodynamicsEnergy MetabolismAlgorithmsOther Condensed Matter (cond-mat.other)Ramachandran plot
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Curvature and Torsion of Protein Main Chain as Local Order Parameters of Protein Unfolding

2020

International audience; Thermal protein unfolding resembles a global (two-state) phase transition. At the local scale, protein unfolding is, however, heterogeneous and probe dependent. Here, we consider local order parameters defined by the local curvature and torsion of the protein main chain. Because chemical shift (CS) measured by NMR spectroscopy is extremely sensitive to the local atomic environment, CS has served as a local probe of thermal unfolding of proteins by varying the position of the atomic isotope along the amino-acid sequence. The variation of the CS of each C(alpha) atom along the sequence as a function of the temperature defines a local heat-induced denaturation curve. We…

Protein DenaturationProtein FoldingPhase transitionProtein ConformationThermodynamics010402 general chemistryCurvature01 natural sciencesProtein Structure SecondaryArticleQuantitative Biology::Subcellular Processes03 medical and health sciencesChain (algebraic topology)Materials Chemistry[CHIM]Chemical SciencesAmino Acid SequencePhysical and Theoretical ChemistryProtein Unfolding030304 developmental biologyPhysics[PHYS]Physics [physics]0303 health sciencesQuantitative Biology::BiomoleculesQuantitative Biology::Molecular NetworksLocal scaleTorsion (mechanics)Energy landscape0104 chemical sciencesSurfaces Coatings and FilmsOrder (biology)Unfolded protein responseThermodynamics
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A Stevedore's protein knot.

2009

Protein knots, mostly regarded as intriguing oddities, are gradually being recognized as significant structural motifs. Seven distinctly knotted folds have already been identified. It is by and large unclear how these exceptional structures actually fold, and only recently, experiments and simulations have begun to shed some light on this issue. In checking the new protein structures submitted to the Protein Data Bank, we encountered the most complex and the smallest knots to date: A recently uncovered α-haloacid dehalogenase structure contains a knot with six crossings, a so-called Stevedore knot, in a projection onto a plane. The smallest protein knot is present in an as yet unclassified …

Protein FoldingHydrolasesProtein ConformationComputational Biology/Macromolecular Structure Analysis02 engineering and technologyBiologyMolecular Dynamics SimulationComputational Biology/Molecular DynamicsCombinatorics03 medical and health sciencesCellular and Molecular NeuroscienceKnot (unit)Protein structureGeneticsStructural motifDatabases ProteinMolecular Biologylcsh:QH301-705.5Ecology Evolution Behavior and Systematics030304 developmental biology0303 health sciencesTopological complexityQuantitative Biology::BiomoleculesEcologycomputer.file_format021001 nanoscience & nanotechnologyProtein Data BankMathematics::Geometric TopologyComputational Theory and MathematicsBiochemistrylcsh:Biology (General)Modeling and SimulationProtein foldingStevedore knot0210 nano-technologySingle loopcomputerResearch ArticlePLoS Computational Biology
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Structures and folding pathways of topologically knotted proteins

2010

In the last decade, a new class of proteins has emerged that contain a topological knot in their backbone. Although these structures are rare, they nevertheless challenge our understanding of protein folding. In this review, we provide a short overview of topologically knotted proteins with an emphasis on newly discovered structures. We discuss the current knowledge in the field, including recent developments in both experimental and computational studies that have shed light on how these intricate structures fold.

Protein FoldingQuantitative Biology::BiomoleculesProtein ConformationChemistryProteinsNanotechnologyComputational biologyCondensed Matter PhysicsProtein structureComputer GraphicsAnimalsHumansComputer SimulationGeneral Materials ScienceProtein foldingAmino Acid SequenceDatabases ProteinKnot (mathematics)Journal of Physics: Condensed Matter
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Self-assembly of biopolymeric structures below the threshold of random cross-link percolation

1996

Self-assembly of extended structures via cross-linking of individual biomolecules often occurs in solutions at concentrations well below the estimated threshold for random cross-link percolation. This requires solute-solute correlations. Here we study bovine serum albumin. Its unfolding causes the appearance of an instability region of the sol, not observed for native bovine serum albumin. As a consequence, spinodal demixing of the sol is observed. The thermodynamic phase transition corresponding to this demixing is the determinative symmetry-breaking step allowing the subsequent occurrence of (correlated) cross-linking and its progress up to the topological phase transition of gelation. Th…

Protein FoldingSpinodalPhase transitionProtein ConformationBiophysicsIn Vitro TechniquesInstabilityBiophysical PhenomenaBiopolymersDrug StabilityAnimalsTopological orderBovine serum albuminQuantitative Biology::BiomoleculesMolecular StructurebiologyChemistrySerum Albumin BovineCrystallographyCross-Linking ReagentsChemical physicsPercolationbiology.proteinThermodynamicsCattleProtein foldingSelf-assemblyGelsResearch Article
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