Thrombin generation has been studied in the plasma of severely factor XI deficient patients under conditions in which contact activation did not play a role. In platelet-rich as well as platelet-poor plasma, thrombin generation was dependent upon the presence of factor XI at tissue factor concentrations of between 1 and 20 pg/ml i.e. approximately 0.01 to 0.20% of the concentration normally pre...

The relationship of clinical bleeding tendency and factor XI antigen (XI:Ag) in factor XI deficiency was studied in 78 members of 25 factor XI-deficient kindreds. Factor XI:Ag was measured in a competitive radioimmunoassay, using monospecific, heterologous anti-factor XI antibody. 125I-labeled factor XI, and staphylococcal protein A as the precipitating agent. Deficiency of factor XI clotting a...

39. This exercise is a generalization of Exercise 38. Let u be a utility function, a r.v. X1 has the original distribution, and X2 has the transformed distribution. Then E{u(X1)} = ∑k u(xk)pk. The corresponding representation E{u(X2)} is the same except the terms with k = i−1, i, and i+1. Consequently, the difference E{u(X1)}−E{u(X2)}=−∆u(xi−1)+2∆u(xi)−∆u(xi+1) = 2∆ [ u(xi)− 1 2 (u(xi−1)+u(xi+1...

Given the harmonic mean μ of the numbers xi (i = 1, 2, 3) and a t ∈ (0,min{x1, x2, x3}/μ}), we determine the best power mean exponents p and q such that Mp(xi − tμ) ≤ (1 − t)μ ≤ Mq(xi − tμ), where p and q only depend on t. Also, for t > 0 we similarly handle the estimates Mp(xi + tμ) ≤ (1 + t)μ ≤Mq(xi + tμ).

For better understanding of conformational stability of the dipeptide model HCO—Gly—L—Leu—NH2,ab initio and DFT computations at HF/6-31G(4 6-311++G(d,p) and B3LYP/6-31G(d) levels oftheory were carried out. Geometry optimization of the dipeptide within the leucine (Leu) side chainangles (x2 ,x2) resulted in three stable conformations as followings: anti-anti, the most stable one,(Xi = 180°, x2 =...

Suppose one has n points, X = {x1, . . . , xn}, in Rd (with d large). If d > n, since the points have to lie in a subspace of dimension n it is clear that one can consider the projection f : Rd → Rn of the points to that subspace without distorting the geometry of X. In particular, for every xi and xj , ‖f(xi)− f(xj)‖ = ‖xi − xj‖, meaning that f is an isometry in X. Suppose now we allow a bit o...

The system X1, X2, . . ., Xx is called by Fejér2 the conjugate point system of xI , x2, . . ., x, . If all the Xi are outside -1, +1, Fejér calls the point group normal . He pointed out that the roots of many of the classical polynomials are normal, e.g ., the roots of the Tchebicheff and Legendre polynomials . Fejér' proved that if xI, x2, . . . x,, is a normal point group then lim(xi + I xi) ...

One problem with the HMM framework is the model’s strong independence assumption, known as the Markov property. The Markov property states P (Xi|Xi−1, Xi−2, ..., X1) = P (Xi|Xi−1). While this property may simplify the model, it is not always beneficial. By restricting the conditional dependencies to only those between parents and children, the HMM allows for only local features. In many applica...

Hence B1,MvM = 1 and BM,1 = (I−BM,M)vM. Consider two possible cases. First, if (I − BM,M) is invertible we can ‘marginalize’ the variables in M, as The sum ∑∞ k=0(t(xi xj ||Jj)t(xj xi||Ji)) k is evaluated to 1/(1 − t(xi xj ||Jj)t(xj xi||Ji)) also when |t(xi xj ||Jj)t(xj xi||Ji)| > 1 (Hardy, 1949). discussed in (Hyttinen et al., 2012), to arrive at a linear cyclic model with a 1× 1 direct effect...