In this paper, we prove the exact orders of critical intensity u∗(T) in Finitary Random Interlacements (FRI) Zd,d≥3 with respect to expected fiber length T. We show that as T→∞, is same order fd(T), where fd(T)=T−1/2,d=3T−1logT,d=4T−1,d≥5. Our estimates also give magnitude at which percolative phase transition T takes place.

Let G be a graph on n vertices with r := bn/2c and let λ1 ≥ · · · ≥ λn be adjacency eigenvalues of G. Then the Hückel energy of G, HE(G), is defined as HE(G) = ( 2 Pr i=1 λi, if n = 2r; 2 Pr i=1 λi + λr+1, if n = 2r + 1. The concept of Hückel energy was introduced by Coulson as it gives a good approximation for the π-electron energy of molecular graphs. We obtain two upper bounds and a lower bo...

Escherichia coli is the most widely used host for the production of recombinant proteins. However, most eukaryotic proteins are typically obtained as insoluble, misfolded inclusion bodies that need solubilization and refolding. The interactions between human FHL2 protein and many types of proteins, including structural proteins, kinases, and several classes of transcription factor, have been fo...

Most clinical studies of heparin-induced thrombocytopenia have not included cancer patients who have high risk of thromboembolism, frequent exposure to heparin, and many potential causes of thrombocytopenia other than heparin-induced thrombocytopenia. To estimate the incidence and prevalence of heparin-induced thrombocytopenia in cancer patients, we identified cases based on diagnostic codes, a...

The conformation and dynamics of the deoxyribose rings of a (nogalamycin)2-d(5'-GCATGC)2 complex have been determined from an analysis of 1H-1H vicinal coupling constants and sums of coupling constants (J1'-2',J1'-2",epsilon 1', epsilon 2' and epsilon 2") measured from one-dimensional n.m.r. spectra and from H-1'-H-2' and H-1'-H-2" cross-peaks in high-resolution phase-sensitive two-dimensional ...