To compute an approximation solution to this problem, we define a discrete mesh of points (xi; yj) on which we will approximate u. To keep things simple, we will assume that the mesh is uniformly spaced in both the x and y directions, and that the distance between adjancent mesh points is h. That is, xi+1 xi = h and yj+1 yj = h. We can then use a simple centered-difference approximation to the ...

in this paper, we study a coupled system of nonlinear fractional differential equations with multi-point boundary condi- tions. the differential operator is taken in the riemann-liouville sense. applying the schauder fixed-point theorem and the contrac- tion mapping principle, two existence results are obtained for the following system d^{alpha}_{0+}x(t)=fleft(t,y(t),d^{p}_{0+}y(t)right), t in (0,...

Incorporating new healthcare technologies for proactive health and elder care will become a major priority over the next decade, as medical care systems world-wide become strained by the aging boomer population. We present MIThril LiveNet, a flexible distributed mobile platform that can be deployed for a variety of proactive healthcare applications. The LiveNet system allows people to receive r...

Because human platelets participate in the contact phase of intrinsic coagulation and contain a Factor XI-like coagulant activity, the nature of the Factor XI-like activity was examined and compared with purified plasma Factor XI. The platelet factor XI-like activity was sedimented with the particulate fraction of a platelet lysate, was inactivated by heat (t(1/2) 3.5 min, 56 degrees C), was no...

Factor XI (FXI) is a homodimeric serine protease, which is produced in the liver and circulates in the plasma complexed with high-molecular-weight kininogen. FXI plays an important role in the amplification of the initial coagulation response via a positive feedback mechanism for the generation of additional thrombin [1,2,3,4]. Congenital FXI deficiency is characterized by decreased levels or a...

The symbol (XI)κ (with κ ≥ ω) denotes the space XI := Πi∈I Xi with the κ-box topology; this has as base all sets of the form U = Πi∈I Ui with Ui open in Xi and with |{i ∈ I : Ui 6= Xi}| < κ. The symbols w, d and S denote respectively weight, density character, and Souslin number. Generalizing familiar results for the usual product space (the case κ = ω), the authors show inter alia: Theorem 3.1...

The influence of stabilizing hydrostatic pressure gradients on the drainage of a fractal porous medium is studied. The invasion process is treated with invasion percolation (IP) in a gradient. Fractality is mimicked by randomly closing bonds of a network. Two length scales govern the problem: the characteristic length of the pore structure xi(s) and a length scale xi(g) above which buoyancy det...

In cartilage collagen type XI exists as heterotrimeric molecules composed of alpha 1(XI), alpha 2(XI) and alpha 3(XI) subunits. Messenger RNAs for some of the alpha chains of collagen type XI have also been found in non-chondrogenic tissues but the chain composition of the molecule in these sites is not known. Some non-chondrogenic tissues also contain heterotrimers containing collagen alpha 2(...