We implement an exponential integrator for large and sparse systems of ODEs, generated by FE (Finite Element) discretization with mass-lumping of advection-diffusion equations. The relevant exponentiallike matrix function is approximated by polynomial interpolation, at a sequence of real Leja points related to the spectrum of the FE matrix (ReLPM, Real Leja Points Method). Application to 2D and...

We count the Fq-rational points of GIT quotients of quiver representations with relations. We focus on two types of algebras – one is one-point extended from a quiver Q, and the other is the Dynkin A2 tensored with Q. For both, we obtain explicit formulas. We study when they are polynomial-count. We follow the similar line as in the first paper but algebraic manipulations in Hall algebra will b...

BACKGROUND The aim of this study was to elucidate the mechanisms responsible for the location of B-cell non-Hodgkin's lymphoma (B-NHL) at different anatomical sites. We speculated that the malignant B cells in these disorders have the potential for trafficking between blood and secondary lymphoid organs (SLO) or extranodal sites and that their preferential accumulation at different locations is...

Is it a mere accident that the weak scale is exactly so much smaller than the Planck scale, and at the same time exactly so much larger than the QCD scale? Or are the experimentally-measured values of the corresponding gauge couplings enough to help us determine dynamically these energy scales? And if nature has indeed offered us the possibility of such a determination, why dismiss it and fix t...

The clinical potential of cell-based therapies is limited by poor targeting of systemically infused cells to diseased tissues [1]. In our recent study, we have developed a multi-step screening platform to identify small molecules that boost the homing properties of mesenchymal stem cells (MSCs) to sites of inflammation [2]. First, a medium-throughput screen was designed to identify small molecu...

The scope of this paper is the presentation of experiments which involve measurements and identification of human movements by using the inertial sensors. We describe the purpose, design and obtained results of two experiments, as well as our future plans which include the exploration of the forces acting at spine segments by measurements with inertial sensors. The first experiment implemented ...

The paper deals with exponential functionals of the linear Brownian motion which arise in different contexts such as continuous time finance models and one-dimensional disordered models. We study some properties of these exponential functionals in relation with the problem of a particle coupled to a heat bath in a Wiener potential. Explicit expressions for the distribution of the free energy ar...

Objective: Dryopteris filix-mas (D. filix-mas) (L.) Schott, (Dryopteridaceae) is used in traditional medicine, particularly</span...

An exact evolution equation, the functional generalization of the CallanSymanzik method, is given for the effective action of QED where the electron mass is used to turn the quantum fluctuations on gradually. The usual renormalization group equations are recovered in the leading order but no Landau pole appears. Introduction: The idea of dimensional transmutation [1] is that a dimensionless par...

Let vectors α(t) = (α1(t), · · · , α l m(t)) and β (t) = (β 1(t), · · · , β l b(t)) denote estimated panel l physician and time-block acceptance probabilities after the tth update. We assume that each patient’s PCP is always acceptable to him/her and set αl(t) = 1 for each l and t. This is not a requirement of our model but rather a reasonable assumption in the application domain. It does simpl...