68 resultados para VARIATIONAL-CUMULANT EXPANSION

em QUB Research Portal - Research Directory and Institutional Repository for Queen's University Belfast


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A simulation scheme is proposed for determining the excess chemical potential of a substance in solution. First, a Monte Carlo simulation is performed with classical models for solute and solvent molecules. A representative sample of these configurations is then used in a hybrid quantum/classical (QM/MM) calculation, where the solute is treated quantum-mechanically, and the average electronic structure is used to construct an improved classical model. This procedure is iterated to self-consistency in the classical model, which in practice is attained in one or two steps, depending on the quality of the initial guess. The excess free energy of the molecule within the QM/MM approach is determined relative to the classical model using thermodynamic perturbation theory with a cumulant expansion. The procedure provides a method of constructing classical point charge models appropriate for the solution and gives a measure of the importance of solvent fluctuations.

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Supplementation of mesenchymal stem cells (MSCs) during hematopoietic stem cell transplantation (HSCT) alleviates complications such as graft-versus-host disease, leading to a speedy recovery of hematopoiesis. To meet such clinical demand, a fast MSCs expansion method is required. In the present study, we examined the feasibility of expanding MSCs from the isolated bone marrow mononuclear cells using a rotary bioreactor system. The cells were cultured in a rotary bioreactor with Myelocult� medium containing a combination of supplementary factors, including stem cell factor (SCF), interleukin 3 and 6 (IL-3, IL-6). After 8 days of culture, total cell numbers, Stro-1+CD44+CD34- MSCs and CD34+CD44+Stro-1- HSCs were increased 9, 29, and 8 folds respectively. Colony forming efficiency-fibroblast per day (CFE-F/day) of the bioreactor-treated cells was 1.44-fold higher than that of the cells without bioreactor treatment. The bioreactor-expanded MSCs showed expression of primitive MSCs markers endoglin (SH2) and vimentin, whereas markers associated with lineage differentiation including osteocalcin (osteogenesis), Type II collagen (chondrogenesis) and C/EBPα (adipogenesis) were not detected. Upon induction, the bioreactor-expanded MSCs were able to differentiate into osteoblasts, chondrocytes and adipocytes. Taken together, we conclude that the rotary bioreactor with the modified Myelocult� medium reported in this study may be used to rapidly expand MSCs.

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Brown's model for the relaxation of the magnetization of a single domain ferromagnetic particle is considered. This model results in the Fokker-Planck equation of the process. The solution of this equation in the cases of most interest is non- trivial. The probability density of orientations of the magnetization in the Fokker-Planck equation can be expanded in terms of an infinite set of eigenfunctions and their corresponding eigenvalues where these obey a Sturm-Liouville type equation. A variational principle is applied to the solution of this equation in the case of an axially symmetric potential. The first (non-zero) eigenvalue, corresponding to the largest time constant, is considered. From this we obtain two new results. Firstly, an approximate minimising trial function is obtained which allows calculation of a rigorous upper bound. Secondly, a new upper bound formula is derived based on the Euler-Lagrange condition. This leads to very accurate calculation of the eigenvalue but also, interestingly, from this, use of the simplest trial function yields an equivalent result to the correlation time of Coffey et at. and the integral relaxation time of Garanin. (C) 2004 Elsevier B.V. All rights reserved.

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An efficient method for calculating the electronic structure of systems that need a very fine sampling of the Brillouin zone is presented. The method is based on the variational optimization of a single (i.e., common to all points in the Brillouin zone) basis set for the expansion of the electronic orbitals. Considerations from k.p-approximation theory help to understand the efficiency of the method. The accuracy and the convergence properties of the method as a function of the optimal basis set size are analyzed for a test calculation on a 16-atom Na supercell.

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The regulation of CD4 T cell numbers during an immune response should take account of the amount of antigen (Ag), the initial frequency of Ag-specific T cells, the mix of naive versus experienced cells, and (ideally) the diversity of the repertoire. Here we describe a novel mechanism of T cell regulation that potentially deals with all of these parameters. We found that CD4 T cells establish a negative feedback loop by capturing their cognate MHC/peptide complexes from Ag-presenting cells and presenting them to Ag-experienced CD4 T cells, thereby inhibiting their recruitment into the response while allowing recruitment of naive T cells. The inhibition is Ag specific, begins at day 2 (long before Ag disappearance), and cannot be overcome by providing new Ag-loaded dendritic cells. In this way CD4 T cell proliferation is regulated in a functional relationship to the amount of Ag, while allowing naive T cells to generate repertoire variety.