“…We propose that [Image: see text] might be used as an order parameter for protein geometry for a wide range of applications.…”
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“…However, the molecular geometry information is usually veiled due to the single-centered character of momentum space wavefunction of molecular orbital (MO). …”
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“…Periodic systems such as antidot lattices may exhibit programmability; however, to achieve multiple stable magnetization configurations the lattice geometry must be optimized. We consider the magnetization states in Co-antidot lattices of ≈50 nm thickness and ≈150 nm inter-antidot distance. …”
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“…For these applications it is therefore important to identify the optimal pore geometry and use this information to find similar materials. …”
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“…The geometry optimization of a water molecule with a novel type of energy function called FFLUX is presented, which bypasses the traditional bonded potentials. …”
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“…An equation is derived for the TG43 geometry function, G(r,θ), of a linear brachytherapy source in terms of its active length. …”
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“…Relative to the detailed model, we predict that the adoption of planar geometries has a noticeable impact on vascular patterning, leading to increased vessel ‘merging’, or anastomosis, in particular when circular geometries are adopted. …”
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“…We show that both are best understood in terms of the geometry induced on the 3-sphere via pull-back of the round geometry with bundle maps of the Hopf fibration. …”
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“…In this paper we set out to elucidate the effect that the geometry of the cell can have on the dynamics of certain models of polarization. …”
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“…Mapping of χ', a modified version of χ including the influence of precipitation distribution on river discharge and correction of base level for χ' in closed basins, illustrates the geometric structure of global river networks, thus highlighting where tectonics or changing climate have resulted in an apparent disequilibrium of the river channel geometry. Our global χ maps quantify a dynamic view of Earth’s river networks and help to identify past and ongoing evolution of Earth’s landscape.…”
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“…MOTIVATION: A series of recently introduced algorithms and models advocates for the existence of a hyperbolic geometry underlying the network representation of complex systems. …”
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“…However, it requires different parameter sets for reproducing the patterns in closed and in open geometries.…”
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“…In this paper, we consider the problem of identifying and tracking communities in graphs that change over time – dynamic community detection – and present a framework based on Riemannian geometry to aid in this task. Our framework currently supports several important operations such as interpolating between and averaging over graph snapshots. …”
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“…We show that three conserved proteins, two of which are mutated in the ciliopathy Joubert syndrome, determine the geometry of the distal segment, by controlling the positions of specific microtubule ends. …”
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“…Different approaches, including encapsulation, are commonly used to improve the endurance of stretchable interconnects. In this paper, the geometry of encapsulation layer is initially investigated using finite element analysis. …”
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