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Minimum total potential energy principle
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The minimum total potential energy principle is a fundamental concept used in physics and engineering. It dictates that at low temperatures a structureGibbs free energy (4,546 words) [view diff] no match in snippet view article find links to article
In thermodynamics, the Gibbs free energy (or Gibbs energy as the recommended name; symbol G {\displaystyle G} ) is a thermodynamic potential that can beMolecular modelling (1,377 words) [view diff] exact match in snippet view article find links to article
energies. Methods which minimize the potential energy are termed energy minimization methods (e.g., steepest descent and conjugate gradient), while methodsLaplace operator (4,069 words) [view diff] no match in snippet view article find links to article
In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on EuclideanPARATEC (187 words) [view diff] exact match in snippet view article find links to article
full-potential approach has been implemented within PARATEC. The total energy minimization of the electrons can be done by two methods: (i) the more traditionalMolecular mechanics (2,331 words) [view diff] exact match in snippet view article find links to article
computationally expensive. Another application of molecular mechanics is energy minimization, whereby the force field is used as an optimization criterion. ThisSoft-body dynamics (2,547 words) [view diff] no match in snippet view article find links to article
Soft-body dynamics is a field of computer graphics that focuses on visually realistic physical simulations of the motion and properties of deformable objectsGalerkin method (2,944 words) [view diff] exact match in snippet view article find links to article
not require the bilinear form to be symmetric and substitutes the energy minimization with orthogonality constraints determined by the same basis functionsBDDC (1,339 words) [view diff] exact match in snippet view article find links to article
Dohrmann, A preconditioner for substructuring based on constrained energy minimization, SIAM J. Sci. Comput., 25 (2003), pp. 246–258. Y. Fragakis and MCHARMM (2,111 words) [view diff] exact match in snippet view article find links to article
changing secondary structure). The calculation section can include energy minimization, dynamics production, and analysis tools such as motion and energyActive contour model (4,058 words) [view diff] exact match in snippet view article find links to article
technique of matching a deformable model to an image by means of energy minimization. In two dimensions, the active shape model represents a discreteMMP20 (635 words) [view diff] exact match in snippet view article find links to article
differences of matrix metalloproteinases. Homology modeling and energy minimization of enzyme-substrate complexes". J. Biomol. Struct. Dyn. 17 (6): 933–46MMP23B (657 words) [view diff] exact match in snippet view article find links to article
differences of matrix metalloproteinases. Homology modeling and energy minimization of enzyme-substrate complexes". J. Biomol. Struct. Dyn. 17 (6): 933–46Tinker (software) (953 words) [view diff] exact match in snippet view article
derivatives as a function of molecular conformation and their use in energy minimization". Journal of Computational Chemistry. 12 (3): 402. CiteSeerX 10.1TGF alpha (2,040 words) [view diff] case mismatch in snippet view article find links to article
16 MODELS WITHOUT ENERGY MINIMIZATION 1yug: TYPE ALPHA TRANSFORMING GROWTH FACTOR, NMR, 15 MODELS AFTER ECEPP/3 ENERGY MINIMIZATION 2tgf: THE SOLUTIONAqion (904 words) [view diff] exact match in snippet view article find links to article
approaches in hydrochemistry: Law of mass action (LMA) and Gibbs energy minimization (GEM). The program aqion belongs to the category LMA approach. InMMP19 (954 words) [view diff] exact match in snippet view article find links to article
differences of matrix metalloproteinases. Homology modeling and energy minimization of enzyme-substrate complexes". J. Biomol. Struct. Dyn. 17 (6): 933–46Nucleic acid structure prediction (3,633 words) [view diff] exact match in snippet view article find links to article
of RNA secondary structure prediction from one sequence by free energy minimization is limited by several factors: The free energy value's list in nearestMMP15 (945 words) [view diff] exact match in snippet view article find links to article
differences of matrix metalloproteinases. Homology modeling and energy minimization of enzyme-substrate complexes". J. Biomol. Struct. Dyn. 17 (6): 933–46Grassfire transform (473 words) [view diff] exact match in snippet view article find links to article
of images to arbitrary functions. This includes applications in energy minimization problems such as those handled by the Viterbi algorithm, max-productMMP17 (946 words) [view diff] exact match in snippet view article find links to article
differences of matrix metalloproteinases. Homology modeling and energy minimization of enzyme-substrate complexes". J. Biomol. Struct. Dyn. 17 (6): 933–46GROMOS (937 words) [view diff] exact match in snippet view article find links to article
includes studies of molecular dynamics, stochastic dynamics, and energy minimization. The energy component was also part of the prior GROMOS, named GROMOS87Orbital-free density functional theory (503 words) [view diff] no match in snippet view article find links to article
exists a functional of the electron density that yields the total energy. Minimization of this functional with respect to the density gives the ground-stateRayleigh theorem for eigenvalues (3,103 words) [view diff] exact match in snippet view article find links to article
Rayleigh theorem for eigenvalues, as discussed below, enables the energy minimization that is required in many self-consistent calculations of electronicEnergy engineering (1,156 words) [view diff] exact match in snippet view article find links to article
are also employed by the fields of oil and natural gas extraction. Energy minimization is the purpose of this growing discipline. Often applied to buildingMerck molecular force field (255 words) [view diff] exact match in snippet view article find links to article
List, Ltd. Retrieved 17 September 2016. MMFF VI. MMFF94s option for energy minimization studies, Thomas A. Halgren, J. Comput. Chem.; 1999; 720-729, doi:10BALL (930 words) [view diff] exact match in snippet view article find links to article
Support for force fields (MMFF94, AMBER, CHARMM) for scoring and energy minimization Python interface and scripting functionality Plugin infrastructureMMP16 (982 words) [view diff] exact match in snippet view article find links to article
differences of matrix metalloproteinases. Homology modeling and energy minimization of enzyme-substrate complexes". J. Biomol. Struct. Dyn. 17 (6): 933–46Balancing domain decomposition method (581 words) [view diff] exact match in snippet view article find links to article
Convergence of a balancing domain decomposition by constraints and energy minimization, Numer. Linear Algebra Appl., 10 (2003), pp. 639–659. doi:10.1002/nlaWomersley number (1,017 words) [view diff] exact match in snippet view article find links to article
length, etc., with body mass) are a consequence of the need for energy minimization, the fractal nature of vascular networks, and the crossover fromJacques Cohen (computer scientist) (762 words) [view diff] exact match in snippet view article
doctorate in Structural Design. His doctoral dissertation involved energy minimization using Raleigh-Ritz methods to determine Fourier series coefficientsWrithe (1,465 words) [view diff] case mismatch in snippet view article find links to article
MR 0131846. Levitt, Michael (1986). "Protein Folding by Restrained Energy Minimization and Molecular Dynamics". Journal of Molecular Biology. 170 (3): 723–764AutoDock (1,232 words) [view diff] exact match in snippet view article find links to article
Vina with improved support for scoring function development and energy minimization. Off-Target Pipeline allows integration of AutoDock within biggerMatrix metallopeptidase 12 (1,157 words) [view diff] exact match in snippet view article find links to article
differences of matrix metalloproteinases. Homology modeling and energy minimization of enzyme-substrate complexes". J. Biomol. Struct. Dyn. 17 (6): 933–46Deep image prior (958 words) [view diff] exact match in snippet view article find links to article
task-dependent data term, and R(x) is the regularizer. This forms an energy minimization problem. Deep neural networks learn a generator/decoder x = f θ (Topological index (1,213 words) [view diff] exact match in snippet view article find links to article
depend on the way the graph is depicted or labeled and no need of energy minimization of the chemical structure. The simplest topological indices do notRandom walker algorithm (2,256 words) [view diff] exact match in snippet view article find links to article
{\displaystyle V} is the set of all nodes), then the optimum of the energy minimization problem is given by the solution to L S ¯ , S ¯ x S ¯ = − L S ¯R2 RNA element (678 words) [view diff] exact match in snippet view article find links to article
binding to oligonucleotide microarrays, structure probing, and free energy minimization. To date, conservation of structure has only been described in fiveI-TASSER (1,178 words) [view diff] case mismatch in snippet view article find links to article
Structural Accuracy of Protein Models by a Two-step Atomic-level Energy Minimization". Biophysical Journal. 101 (10): 2525–2534. doi:10.1016/j.bpj.2011Simplified molecular-input line-entry system (3,624 words) [view diff] no match in snippet view article find links to article
ambiguous. Conversion to three-dimensional representation is achieved by energy-minimization approaches. There are many downloadable and web-based conversionSwiss-model (1,156 words) [view diff] exact match in snippet view article find links to article
of target sequence and template structure(s). Model building and energy minimization. SWISS-MODEL implements a rigid fragment assembly approach for modellingPhysically based animation (2,135 words) [view diff] exact match in snippet view article find links to article
toward specified goals given physically based constraints such as energy minimization. The adoption of physically based character animation, as opposedConstraint (computational chemistry) (4,518 words) [view diff] exact match in snippet view article
implicit-force solutions. The simplest approach to satisfying constraints in energy minimization and molecular dynamics is to represent the mechanical system in so-calledDiscrete skeleton evolution (800 words) [view diff] case mismatch in snippet view article find links to article
Latecki, Longin Jan (2007-08-27). "Discrete Skeleton Evolution". Energy Minimization Methods in Computer Vision and Pattern Recognition. Lecture NotesMolecular Modelling Toolkit (319 words) [view diff] exact match in snippet view article find links to article
deformation force field for fast normal mode calculations on proteins energy minimization (steepest descent and conjugate gradient) molecular dynamics (withFinite water-content vadose zone flow method (1,942 words) [view diff] exact match in snippet view article find links to article
capillary relaxation step. Capillary relaxation represents a free-energy minimization process at the pore scale that produces no advection beyond the REVProbabilistic context-free grammar (5,256 words) [view diff] exact match in snippet view article find links to article
and PCFGs can express the same set of probability distributions. Energy minimization and PCFG provide ways of predicting RNA secondary structure withMatrix metallopeptidase 13 (1,782 words) [view diff] exact match in snippet view article find links to article
differences of matrix metalloproteinases. Homology modeling and energy minimization of enzyme-substrate complexes". Journal of Biomolecular StructureBounded deformation (488 words) [view diff] exact match in snippet view article find links to article
G. A. & Marigo, J.-J. (1998). "Revisiting brittle fracture as an energy minimization problem" (PDF). J. Mech. Phys. Solids. 46 (8): 1319–1342. Bibcode:1998JMPSoMarkov random field (2,777 words) [view diff] exact match in snippet view article find links to article
to solve various computer vision problems which can be posed as energy minimization problems or problems where different regions have to be distinguishedAffordance (3,029 words) [view diff] exact match in snippet view article find links to article
Jelle; Rietveld, Erik (12 August 2014). "Self-organization, free energy minimization, and optimal grip on a field of affordances". Frontiers in HumanSearching the conformational space for docking (1,070 words) [view diff] exact match in snippet view article find links to article
protocol is performed. This is usually supplemented with short MD energy minimization steps, and the energies determined from the MD runs are used forGraph cut optimization (4,232 words) [view diff] exact match in snippet view article find links to article
Boykov, Yuri; Veksler, Olga; Zabih, Ramin (2001). "Fast approximate energy minimization via graph cuts". IEEE Transactions on Pattern Analysis and MachineGeNMR (787 words) [view diff] exact match in snippet view article find links to article
details about the overall energy score (prior to and following energy minimization) and chemical shift correlations (between the observed and calculatedTert-Amyl methyl ether (802 words) [view diff] exact match in snippet view article find links to article
reaction pressure was obtained by using the method of the Gibbs free energy minimization. The activity coefficients of each component were accurately calculatedMichael Levitt (2,515 words) [view diff] exact match in snippet view article find links to article
avoid "a central embarrassment of molecular mechanics, namely that energy minimization or molecular dynamics generally leads to a model that is less likePreferred walking speed (2,404 words) [view diff] exact match in snippet view article find links to article
to a distraction, and so they arrive at their destination sooner. Energy minimization is widely considered a primary goal of the central nervous systemMoiré pattern (4,159 words) [view diff] case mismatch in snippet view article find links to article
Figueiredo, Mário; Zerubia, Josiane (2001). Jain, Anil K. (ed.). Energy Minimization Methods in Computer Vision and Pattern Recognition. Springer. ISBN 9783540425236Mathematical optimization (5,907 words) [view diff] exact match in snippet view article find links to article
technique in the fields of physics may refer to the technique as energy minimization, speaking of the value of the function f as representing the energyList of RNA structure prediction software (8,423 words) [view diff] exact match in snippet view article find links to article
function to determine confidence in base pairs predicted by free energy minimization". RNA. 10 (8): 1178–1190. doi:10.1261/rna.7650904. PMC 1370608. PMID 15272118Multigrid method (2,824 words) [view diff] no match in snippet view article find links to article
framework covers most existing AMG methods, such as classical AMG, energy-minimization AMG, unsmoothed and smoothed aggregation AMG, and spectral AMGe.Magnetic domain (3,021 words) [view diff] exact match in snippet view article find links to article
their neighbors in domains, creating strong local magnetic fields, energy minimization results in a domain structure that minimizes the large-scale magneticThermodynamic equations (3,527 words) [view diff] exact match in snippet view article find links to article
equation results from the same Second-Law principle that gives rise to energy minimization under restricted conditions: that the total entropy of the systemPotts model (3,624 words) [view diff] exact match in snippet view article find links to article
Boykov, Y.; Veksler, O.; Zabih, R. (November 2001). "Fast approximate energy minimization via graph cuts". IEEE Transactions on Pattern Analysis and MachineChristopher Cherniak (1,597 words) [view diff] no match in snippet view article find links to article
neuroanatomy optimization can be approximated well by “mesh of springs” energy-minimization mechanisms. (Cf. discussion below of the “genomic bottleneck”.) AChemical file format (1,941 words) [view diff] no match in snippet view article find links to article
Brooks, B.M.; et al. (1983). "CHARMM: A program for macromolecular energy, minimization, and dynamics calculations". J. Comput. Chem. 4 (2): 187–217. doi:10The Geochemist's Workbench (1,672 words) [view diff] exact match in snippet view article find links to article
flexibility. Plant Soil 330(1), 207-214 Kulik, D.A., 2002, Gibbs energy minimization approach to model sorption equilibria at the mineral-water interface:Riboswitch (3,887 words) [view diff] exact match in snippet view article find links to article
ISBN 978-1-934115-88-6. PMID 19381548. Barash D, Gabdank I (January 2010). "Energy minimization applied to riboswitches: a perspective and challenges". RNA BiologyContact angle (3,986 words) [view diff] exact match in snippet view article find links to article
appropriate boundary conditions, is complicated, and an alternate energy minimization approach to this is generally adopted. The shapes of three-dimensionalForce field (chemistry) (9,838 words) [view diff] exact match in snippet view article
avoid "a central embarrassment of molecular mechanics, namely that energy minimization or molecular dynamics generally leads to a model that is less likeNanorobotics (5,847 words) [view diff] exact match in snippet view article find links to article
means that all contacting parts will stick together following the energy minimization principle. The adhesion and static friction between parts can easilyFree energy principle (6,256 words) [view diff] exact match in snippet view article find links to article
agent's (marginal, or average) sensory surprise, and hence free energy minimization is often motivated by the minimization of surprise. Free energy minimisationModern valence bond theory (2,703 words) [view diff] exact match in snippet view article find links to article
functions are allowed to adjust simultaneously with the orbitals during energy minimization procedures. This is considered to be one of the best VB descriptionsBilevel optimization (2,174 words) [view diff] exact match in snippet view article find links to article
contact forces) can only be figured out by solving the potential energy minimization problem that appears as an equilibrium satisfaction constraint orGeochemical modeling (2,264 words) [view diff] exact match in snippet view article find links to article
Aqueous Solutions LLC, Champaign, IL USA Kulik, D.A., 2002, Gibbs energy minimization approach to model sorption equilibria at the mineral-water interface:Cadherin-1 (6,434 words) [view diff] exact match in snippet view article find links to article
inhibit cell sorting. This is likely because cell sorting is driven by energy minimization. WIthin tissue energetics, tension plays an important role in ensuring:Josiane Zerubia (735 words) [view diff] case mismatch in snippet view article find links to article
Multidisciplinary Endeavor. Springer-Verlag. 2013. ISBN 978-3-642-31207-6. Energy Minimization Methods in Computer Vision and Pattern Recognition: Third InternationalAnisotropic Network Model (2,204 words) [view diff] exact match in snippet view article find links to article
given crystal structure is an energetic minimum and does not require energy minimization. The force constant of the system can be described by the HessianGeothermobarometry (3,099 words) [view diff] exact match in snippet view article find links to article
Matthieu E. (2018-11-01). "Electrolytic fluid speciation by Gibbs energy minimization and implications for subduction zone mass transfer". Earth and PlanetaryPhoratoxin and viscotoxin (2,291 words) [view diff] case mismatch in snippet view article find links to article
ISBN 978-1-4613-6239-5. Whitlow, Marc; Teeter, M. M. (February 1985). "Energy Minimization for Tertiary Structure Prediction of Homologous Proteins: α 1 -purothioninOptics (12,848 words) [view diff] case mismatch in snippet view article find links to article
Wisconsin-Whitewater A.K. Jain; M. Figueiredo; J. Zerubia (2001). Energy Minimization Methods in Computer Vision and Pattern Recognition. Springer.Variational Monte Carlo (1,874 words) [view diff] exact match in snippet view article find links to article
bounded from below, it is positive defined and its minimum is known. Energy minimization may ultimately prove more effective, however, as different authorsProtein design (7,649 words) [view diff] exact match in snippet view article find links to article
(October 28, 2006). "Convergent tree-reweighted message passing for energy minimization". IEEE Transactions on Pattern Analysis and Machine IntelligenceHomology modeling (5,095 words) [view diff] exact match in snippet view article find links to article
global optimization procedure that originally used conjugate gradient energy minimization to iteratively refine the positions of all heavy atoms in the proteinSemi-global matching (2,048 words) [view diff] exact match in snippet view article find links to article
Kolmogorov, Vladimir; Zabih, Ramin (2003). "Visual correspondence using energy minimization and mutual information". Proceedings of the Ninth IEEE InternationalStructural alignment (5,364 words) [view diff] exact match in snippet view article find links to article
Turner DH (2006). "Prediction of RNA secondary structure by free energy minimization". Curr Opin Struct Biol. 16 (3): 270–8. doi:10.1016/j.sbi.2006.05Phase-field model (3,678 words) [view diff] exact match in snippet view article find links to article
smearing due to convection, interfacial reconstruction due to free energy minimization (i.e. mobility-based diffusion), and phase interpenetration, alsoImage segmentation (9,650 words) [view diff] exact match in snippet view article find links to article
these limitations while maintaining high efficiency. In both cases, energy minimization is generally conducted using a steepest-gradient descent, wherebyBernd Michael Rode (2,308 words) [view diff] exact match in snippet view article find links to article
coordinated glycine ligand, one chloride ligand and two axial water molecules obtained via energy minimization at Hartree-Fock level in implicit solvent.Computational anatomy (16,865 words) [view diff] case mismatch in snippet view article find links to article
Vincent; Younes, Laurent (2001). "Geodesic Interpolating Splines". Energy Minimization Methods in Computer Vision and Pattern Recognition. Lecture NotesEffect of gait parameters on energetic cost (2,419 words) [view diff] case mismatch in snippet view article find links to article
relations are predicted by constrained optimization. Journal of theoretical Biology, 209(4), 445-453. Passive Dynamic Walking Control of Energy MinimizationTafazzin (6,744 words) [view diff] exact match in snippet view article find links to article
Conflicting explanations for this preference have included causation from energy minimization with influences by the surrounding microenvironment, known as theThomson problem (2,912 words) [view diff] exact match in snippet view article find links to article
Morris, J. R.; Deaven, D. M.; Ho, K. M. (1996). "Genetic-algorithm energy minimization for point charges on a sphere". Phys. Rev. B. 53 (4): R1740–R1743Self-assembly of nanoparticles (6,088 words) [view diff] exact match in snippet view article find links to article
is found. Kinetics The ultimate driving force in self-assembly is energy minimization and the corresponding evolution towards equilibrium, but kineticNon-topological soliton (6,328 words) [view diff] no match in snippet view article find links to article
distribution inside the NTS and the latest one gives the volume vacuum energy. Minimization with R {\displaystyle R} gives the NTS energy as a function of itsFiveling (9,299 words) [view diff] exact match in snippet view article find links to article
effects. Allpress and Sanders proposed an alternative approach to energy minimization to understanding these particles called "successive twinning". Here