Results 31 to 40 of about 998,625 (264)
AbstractClassical or Newtonian Mechanics is put in the setting of Riemannian Geometry as a simple mechanical system (M, K, V), where M is a manifold which represents a configuration space, K and V are the kinetic and potential energies respectively of the system.
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Let \(B_ 1(\Omega)\) denote the class of bounded Hilbert space operators T such that \(T-\lambda I\) is onto and has one dimensional kernel for \(\lambda \in \Omega\) and such that \(\bigvee_{\lambda \in \Omega}\ker(T- \lambda I)\) is dense in the Hilbert space.
Clark, Douglas N., Misra, Gadadhar
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Knowing how proteases recognise preferred substrates facilitates matching proteases to applications. The S1′ pocket of protease EA1 directs cleavage to the N‐terminal side of hydrophobic residues, particularly leucine. The S1′ pocket of thermolysin differs from EA's at only one position (leucine in place of phenylalanine), which decreases cleavage ...
Grant R. Broomfield+3 more
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A 1+5-dimensional gravitational-wave solution: curvature singularity and spacetime singularity
We solve a $1+5$-dimensional cylindrical gravitational-wave solution of the Einstein equation, in which there are two curvature singularities. Then we show that one of the curvature singularities can be removed by an extension of the spacetime.
Chen, Yu-Zhu, Dai, Wu-Sheng, Li, Wen-Du
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In this work, we reveal how different enzyme binding configurations influence the fluorescence decay of NAD(P)H in live cells using time‐resolved anisotropy imaging and fluorescence lifetime imaging microscopy (FLIM). Mathematical modelling shows that the redox states of the NAD and NADP pools govern these configurations, shaping their fluorescence ...
Thomas S. Blacker+8 more
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Development of visible light‐sensitive human neuropsin (OPN5) via single amino acid substitution
The present study determines a key amino acid residue, Lys91, for defining UV sensitivity of human OPN5. Heterologous action spectroscopy of the wild type and K91 mutants of OPN5 in HEK293T cells reveals that substitution of Lys91 with neutral (alanine) or acidic amino acids (glutamic or aspartic acids) causes substantial shifts in spectral sensitivity
Yusuke Sakai+2 more
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Effect of Thermal Undulations on the Bending Elasticity and Spontaneous Curvature of Fluid Membranes
We amplify previous arguments why mean curvature should be used as measure of integration in calculating the effective bending rigidity of fluid membranes subjected to a weak background curvature.
Helfrich, W., Pinnow, H. A.
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On the curvature of biquotients [PDF]
As a means to better understanding manifolds with positive curvature, there has been much recent interest in the study of non-negatively curved manifolds which contain either a point or an open dense set of points at which all 2-planes have positive curvature.
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Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells
Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan+2 more
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