1,240 research outputs found
Self-consistency in the Projected Shell Model
The Projected Shell Model is a shell model theory built up over a deformed
BCS mean field. Ground state and excited bands in even-even nuclei are obtained
through diagonalization of a pairing plus quadrupole Hamiltonian in an angular
momentum projected 0-, 2-, and 4-quasiparticle basis. The residual
quadrupole-quadrupole interaction strength is fixed self-consistently with the
deformed mean field and the pairing constants are the same used in constructing
the quasiparticle basis. Taking as an example, we calculate
low-lying states and compare them with experimental data. We exhibit the effect
of changing the residual interaction strengths on the spectra. It is clearly
seen that there are many bandheads whose energies can
only be reproduced using the self-consistent strengths. It is thus concluded
that the Projected Shell Model is a model essentially with no free parameters.Comment: 13 pages, 10 figures, submitted to Nuclear Physics
Factorizations of Rational Matrix Functions with Application to Discrete Isomonodromic Transformations and Difference Painlev\'e Equations
We study factorizations of rational matrix functions with simple poles on the
Riemann sphere. For the quadratic case (two poles) we show, using
multiplicative representations of such matrix functions, that a good coordinate
system on this space is given by a mix of residue eigenvectors of the matrix
and its inverse. Our approach is motivated by the theory of discrete
isomonodromic transformations and their relationship with difference Painlev\'e
equations. In particular, in these coordinates, basic isomonodromic
transformations take the form of the discrete Euler-Lagrange equations.
Secondly we show that dPV equations, previously obtained in this context by D.
Arinkin and A. Borodin, can be understood as simple relationships between the
residues of such matrices and their inverses.Comment: 9 pages; minor typos fixed, journal reference adde
Preclinical Applications of 3'-Deoxy-3'-[18F]Fluorothymidine in Oncology - A Systematic Review
The positron emission tomography (PET) tracer 3'-deoxy-3'-[18F]fluorothymidine ([18F]FLT) has been proposed to measure cell proliferation non-invasively in vivo. Hence, it should provide valuable information for response assessment to tumor therapies. To date, [18F]FLT uptake has found limited use as a response biomarker in clinical trials in part because a better understanding is needed of the determinants of [18F]FLT uptake and therapy-induced changes of its retention in the tumor. In this systematic review of preclinical [18F]FLT studies, comprising 174 reports, we identify the factors governing [18F]FLT uptake in tumors, among which thymidine kinase 1 plays a primary role. The majority of publications (83 %) report that decreased [18F]FLT uptake reflects the effects of anticancer therapies. 144 times [18F]FLT uptake was related to changes in proliferation as determined by ex vivo analyses. Of these approaches, 77 % describe a positive relation, implying a good concordance of tracer accumulation and tumor biology. These preclinical data indicate that [18F]FLT uptake holds promise as an imaging biomarker for response assessment in clinical studies. Understanding of the parameters which influence cellular [18F]FLT uptake and retention as well as the mechanism of changes induced by therapy is essential for successful implementation of this PET tracer. Hence, our systematic review provides the background for the use of [18F]FLT in future clinical studies
Electronic petitions in the Republic of Belarus: approximate legal model
The article considers idea of the development of the institute of electronic petitions in the Republic of Belarus. There is a necessity of borrowing some mechanisms from foreign states. The article provides a new mechanism for supplying and considering petitions at the legislative level
Electronic petitions in the Republic of Belarus: prospects of legal regulation
The article considers the petition as citizens’ proposal coming to state bodies or to an official dealing with some issue, problem. The necessity of legal regulation of this phenomenon is justified, including electronic petitions
Intellectual Control System of Processing on CNC Machines
Scientific and technical progress makes great demands for quality of engineering production. The priority is to ensure metalworking equipment with required dimensional accuracy during the entire period of operation at minimum manufacturing costs. In article considered the problem of increasing of accuracy of processing products on CNC. The authors offers a solution to the problem by providing compensating adjustment in the trajectory of the cutting tool and machining mode. The necessity of creation of mathematical models of processes behavior in an automated technological system operations (OATS). Based on the research, authors have proposed a generalized diagram of diagnosis and input operative correction and approximate mathematical models of individual processes of diagnosis
Radiosynthesis and analysis of (S)-4-(3-[18F]fluoropropyl)-L-glutamic acid
Purpose:
(S)-4-(3-[18F]Fluoropropyl)-L-glutamic acid ([18F]FSPG) is an L-glutamate derivative used as a PET biomarker to assess intracellular redox status in vivo through targeting of the cystine/glutamate antiporter protein, xc− transporter. In this report, we describe a radiosynthesis of [18F]FSPG for use in PET studies that address specific challenges in relation to the radiotracer purity, molar activity, and quality control testing methods.
Procedures:
The radiosynthesis of [18F]FSPG was performed using a customised RNPlus Research automated radiosynthesis system (Synthra GmbH, Hamburg, Germany). [18F]FSPG was labelled in the 3-fluoropropylmoiety at the 4-position of the glutamic acid backbone with fluorine-18 via substitution of nucleophilic [18F]fluoride with a protected naphthylsulfonyloxy-propyl-L-glutamate derivative. Radiochemical purity of the final product was determined by radio HPLC using a new method of direct analysis using a Hypercarb C18 column.
Results:
The average radioactivity yield of [18F]FSPG was 4.2 GBq (range, 3.4–4.8 GBq) at the end of synthesis, starting from 16 GBq of [18F]fluoride at the end of bombardment (n = 10) in a synthesis time of 50 min. The average molar activity and radioactivity volumetric concentration at the end of synthesis were 66 GBq µmol−1 (range, 48–73 GBq µmol−1) and 343–400 MBq mL−1, respectively.
Conclusion:
Stability tests using a 4.6 GBq dose with a radioactivity volumetric concentration of 369 MBq mL−1 at the end of synthesis showed no observable radiolysis 3 h after production. The formulated product is of high radiochemical purity (> 95%) and higher molar activity compared to previous methods and is safe to inject into mice up to 3 h after production
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