New methods for determining chemical structures from residual dipolar couplings are presented. The fundamental dipolar coupling equation is converted to an elliptical equation in the principal alignment frame. This elliptical equation is then combined with other angular or dipolar coupling constraints to form simple polynomial equations that define discrete solutions for the unit vector(s). The...

In this paper, we establish global $$W^{2,p}$$ estimates for solutions to the linearized Monge-Amp $$\grave{e}$$ re equation $$\begin{aligned} {\mathcal {L}}_{\phi }u:=\mathrm {tr}[\Phi D^2 u]=f \end{aligned}$$ under appropriate conditions on domain, measures, boundary data and f, $$\Phi :=(\mathrm {det}\,D^2\phi )(D^2\phi )^{-1}$$ is cofactor matrix of $$D^2\phi $$ . density measure $$g:=\math...

Protein folding mechanisms are probed experimentally using single-point mutant perturbations. The relative effects on the folding (phi-values) and unfolding (1 - phi) rates are used to infer the detailed structure of the transition-state ensemble (TSE). Here we analyze kinetic data on > 800 mutations carried out for 24 proteins with simple kinetic behavior. We find two surprising results: (i) a...

BACKGROUND The hypothesis that gastric intramural pH (pHi) is predictive of outcome in haemodynamically stable, mechanically ventilated patients was tested in 25 patients on assisted mechanical ventilation for respiratory failure. METHODS Simultaneous samples of arterial blood and gastric juice were obtained from patients on assist control, synchronised intermittent and pressure control venti...

In this paper, we investigate some innovative and exact travelling wave solutions to the time-fractional phi-four equation (2+1) dimensional Calogero-Bogoyavlanskil schilf (CBS) using ( )-expansion method. Periodic are displayed in hyperbolic, trigonometric, rational function solutions. Subsequently, construct new connecting free parameters of CBS equation, which characterized into three comple...

Filters with well-defined holes were used to determine the effective diameters in buffer of human immunodeficiency virus type 1, herpes simplex virus type 1, and four bacteriophages (phi X174, T7, PRD1, and phi 6), which may serve as surrogate viruses for testing barrier materials. Bacteriophages phi 6 and PRD1 most closely model human immunodeficiency virus type 1 in filtration size.

In this paper we study the concept of ph-biatness ofa Banach algebra A, where ph is a continuous homomorphism on A.We prove that if ph is a continuous epimorphism on A and A hasa bounded approximate identity and A is ph- biat, then A is ph-amenable. In the case where ph is an isomorphism on A we showthat the ph- amenability of A implies its ph-biatness.

This paper describes the generation of large deformation diffeomorphisms phi:Omega=[0,1]3<-->Omega for landmark matching generated as solutions to the transport equation dphi(x,t)/dt=nu(phi(x,t),t),epsilon[0,1] and phi(x,0)=x, with the image map defined as phi(.,1) and therefore controlled via the velocity field nu(.,t),epsilon[0,1]. Imagery are assumed characterized via sets of landmarks {xn, ...

Eight patients with inflammatory bowel disease were tested for their ability to mount a serological response to the intravenous particulate antigen phi X174. Seven patients had extensive ulcerative colitis and one patient extensive Crohn's colitis, four having severe hyposplenism and four normal splenic function. The antibody response to phi X174 was grossly impaired in those with hyposplenism.