Precisely measuring the ensemble of conformers that a macromolecule populates in solution is highly challenging. Thus, it has been difficult to confirm or falsify the predictions of nanometer-scale dynamical modeling. Here, we apply an X-ray interferometry technique to probe the solution structure and fluctuations of B-form DNA on a length scale comparable to a protein-binding site. We determin...

Abstract In this paper we provide a comparison result between the solutions to torsion problem for Hermite operator with Robin boundary conditions and one of suitable symmetrized problem.

We study Blaschke-Santal\'o diagrams associated to the torsional rigidity and first eigenvalue of Laplacian with Dirichlet boundary conditions. work under convexity volume constraints, in both strong (volume exactly one) weak at most form. discuss some topological (closedness, simply connectedness) geometric (shape boundaries, slopes near point corresponding ball) properties these diagrams, als...

In this article, a systematic approach is proposed to calculate the torsional rigidity and stress of a circular bar containing multiple circular inclusions. To fully capture the circular geometries, the kernel function is expanded to the degenerate form and the boundary density is expressed into Fourier series. The approach is seen as a semi-analytical manner since error purely attributes to th...