We study the problem of estimating a temporally varying coefficient and varying structure (VCVS) graphical model underlying data collected over a period of time, such as social states of interacting individuals or microarray expression profiles of gene networks, as opposed to i.i.d. data from an invariant model widely considered in current literature of structural estimation. In particular, we ...

background: the incorporation of thallium-201 into 8-hydroxyquinoline was targeted for cell labeling due to interesting physical properties and wide availability of this nuclide as a single photon emission computed tomography (spect) radionuclide. materials and methods: thallium-201 (t1/2=3.04 d) in tl+ form was converted to tl3+ cation in presence of o3/6m hcl and di-isopropyl ether, controlle...

introduction: porphyrins are interesting derivatives with low toxicity, tumor avidity and rapid wash-out suggested as potential radiopharmaceuticals in radiolabeled form. in this work we report, synthesis, radiolabeling, quality control, stability, partition coefficient determination and biodistribution studies of 153sm-5,10,15,20-tetrakis(4-methoxyphenyl) porphyrin (153sm-4-mpp) in wild-type r...

growing applications of phenylalanine dehydrogenase (phedh) enzyme in the medical and pharmaceutical industries encourages researchers to seek simple, fast and economical alternative purification methods. with goal of finding a new technique, the extraction and purification of recombinant bacillus badius phedh in polyethylene glycol 6000 (peg-6000) and ammonium sulfate aqueous two-phase systems...

Gas-to-RTIL (room-temperature ionic liquid) partition coefficients have been compiled for 592 different solute-RTIL combinations. These partition coefficients were converted into water-to-RTIL partition coefficients using the corresponding gas-to-water partition coefficients. Both sets of partition coefficients were analyzed using the Abraham solvation parameter model with cation-specific and a...

Abstract. Ramanujan famously found congruences for the partition function like p(5n + 4) ≡ 0 (mod 5). We provide a method to find all simple congruences of this type in the coefficients of the inverse of a modular form on Γ1(4) which is non-vanishing on the upper half plane. This is applied to answer open questions about the (non)-existence of congruences in the generating functions for overpar...

We present an explicit solution of the Ar T -system for arbitrary boundary conditions. For each boundary, this is done by constructing a network, i.e. a graph with positively weighted edges, and the solution is expressed as the partition function for a family of non-intersecting paths on the network. This proves in particular the positive Laurent property, namely that the solutions are all Laur...

The solutions to a change problem form restricted partitions. For one particular change problem, we look at the sequence representing the parity of these restricted partition values. It appears that the period of this sequence has not been studied. Through recurrences involving binomial coefficients, we find that the sequence has a period of 200.

For a given weight of a complex simple Lie algebra, the q-analog of Kostant’s partition function is a polynomial valued function in the variable q, where the coefficient of q is the number of ways the weight can be written as a nonnegative integral sum of exactly k positive roots. In this paper we determine generating functions for the q-analog of Kostant’s partition function when the weight in...