a Burns and Allen Research Institute, Division of Endocrinology, Cedars-Sinai Medical Center and David Geffen School of Medicine at UCLA, Los Angeles, CA 90048, USA b Division of Immunity and Infection, Institute of Biomedical Research, The University of Birmingham Medical School, Birmingham B15 2TT, UK c Department of Microbiology, Immunology and Molecular Genetics, David Geffen School of Medi...

Center for Systems Biomedicine, Division of Digestive Diseases, David Geffen School of Medicine, University of California at Los Angeles, Los Angeles, California, USA Center for Inflammatory Bowel Diseases, Division of Digestive Diseases, David Geffen School of Medicine, University of California at Los Angeles, Los Angeles, California, USA Department of Neurology, Martinos Center for Biomedical...

From the David Geffen School of Medicine at the University of California, Los Angeles (D.P.T.); Caritas St. Elizabeth’s Medical Center, Boston (B.C.); Glasgow University, Glasgow, Scotland (S.S.); Boehringer Ingelheim Pharmaceuticals, Ridgefield, CT (D.B., S.K., S.M.); and the University of Leuven, Leuven, Belgium (M.D.). Address reprint requests to Dr. Tashkin at the David Geffen School of Med...

We improve the best known lower bounds on the distance between two points of a Morse cluster in R, with ρ ∈ [4.967, 15]. Our method is a generalization of the one applied to the Lennard-Jones potential in [2], and it also leads to improvements of lower bounds for the energy of a Morse cluster. Some of the numerical results have been announced in [1].

our study performed upon an extended series of 28 compounds of 1,2,4-triazole derivativesthat demonstrate substantial in vitro antimicrobial activities by serial plate dilution method,using quantitative structure-activity relationship (qsar) methods that imply analysis ofcorrelations and multiple linear regression (mlr); a significant collection of moleculardescriptors was used e.g., edge adjac...

This paper proposes an efficient probabilistic method that computes combinatorial gradient fields for two dimensional image data. In contrast to existing algorithms, this approach yields a geometric Morse-Smale complex that converges almost surely to its continuous counterpart when the image resolution is increased. This approach is motivated using basic ideas from probability theory and builds...

An infinite dimensional Morse lemma is proved using the deformation lemma from singularity theory. It is shown that the versions of the Morse lemmas due to Palais and Tromba are special cases. An infinite dimensional splitting lemma is proved. The relationship of the work here to other approaches in the literature in discussed. Introduction. This paper shows that when the singularity theory pro...

In this paper, in order to numerically solve for multiple positive solutions to a singularly perturbed Neumann boundary value problem in mathematical biology and other applications, a local minimax method is modified with new local mesh refinement and other strategies. Algorithm convergence and other related properties are verified. Motivated by the numerical algorithm and convinced by the nume...

New insight on mode coupling in waveguiding structures is obtained from the theory of Morse critical points (MCP’s). It is shown that the traditional coupled-mode formalism has a clear analytical connection with functional properties of the characteristic determinant in the vicinity of the Morse critical point, which determines the minimum of coupling. The relationship between perturbed and ind...