We provide a simple extension of Bolthausen's Morita type proof the replica symmetric formula [E. Bolthausen, Stat. Mech. Classical and Disordered Systems, pp. 63-93 (2018)] for Sherrington-Kirkpatrick model prove symmetry all $(\beta,h)$ that satisfy $\beta^2 E \operatorname{sech}^2(\beta\sqrt{q}Z+h) \leq 1$, where $q = E\tanh^2(\beta\sqrt{q}Z+h)$. Compared to (2018)], key argument is apply co...

We discuss the theory of certain partially ordered sets that capture the structure of commutation classes of words in monoids. As a first application, it follows readily that counting words in commutation classes is #P-complete. We then apply the partially ordered sets to Coxeter groups. Some results are a proof that enumerating the reduced words of elements of Coxeter groups is #P-complete, a ...

The adhesiveness of integrins is regulated through a process termed "inside-out" signaling. To understand the molecular mechanism of integrin inside-out signaling, we generated K562 stable cell lines that expressed LFA-1 (alpha(L)beta(2)) or Mac-1 (alpha(M)beta(2)) with mutations in the cytoplasmic domain. Complete truncation of the beta(2) cytoplasmic domain, but not a truncation that retained...

Let $ f: {\mathcal H} \rightarrow \mathbb{R} be a convex differentiable function whose solution set {{\rm{argmin}}}\; f is nonempty. To attain of the problem \min_{\mathcal H}f $, we consider second order dynamic system \;\ddot{x}(t) + \alpha \, \dot{x}(t) \beta (t) \nabla f(x(t)) c x(t) = 0 where positive such that \lim_{t\rightarrow +\infty}\beta(t) +\infty $. By imposing adequate hypothesis ...

Neutrinoless double beta decay ($0\nu\beta\beta$) nuclear matrix elements (NME) are the object of many theoretical calculation methods, and very important for analysis guidance a large number experimental efforts. However, there discrepancies between NME values provided by different methods. In this paper we propose statistical $^{48}$Ca $0\nu\beta\beta$ using interacting shell model, emphasizi...

Pdx1 (pancreatic and duodenal homeobox 1), Ngn3 (neurogenin 3) and MafA (v-maf musculoaponeurotic fibrosarcoma oncogene family, protein A) have been reported to bring about the transdifferentiation of pancreatic exocrine cells to beta (β) cells in vivo. We have investigated the mechanism of this process using a standard in vitro model of pancreatic exocrine cells, the rat AR42j-B13 cell line. W...

$N$-dimensional Bessel and Jacobi processes describe interacting particle systems with $N$ particles are related to $\beta$-Hermite, $\beta$-Laguerre, $\beta$-Jacobi ensembles. For fixed there exist associated weak limit theorems (WLTs) in the freezing regime $\beta\to\infty$ $\beta$-Hermite $\beta$-Laguerre case by Dumitriu Edelman (2005) explicit formulas for covariance matrices $\Sigma_N$ te...

Type 2 diabetes is characterized by a progressive loss of beta-cell function throughout the course of the disease. The pattern of loss is an initial defect in early or first-phase insulin secretion, followed by a decreasing maximal capacity of glucose to potentiate all nonglucose signals. Last, a defective steady-state and basal insulin secretion develops, leading to complete beta-cell failure ...

Complete in vitro dose-response curves for (see article) -isoproterenol (isoprenaline) sulfate showed no functional defects in bronchial muscular beta-adrenergic receptors in three patients with chronic intrinsic asthma, as compared to 60 patients with normal pulmonary function. Complete in vivo dose-response curves for intravenously infused isoproterenol were obtained in eight outpatients wit...