A differential model for the growth of Young diagrams

1998 ◽  
pp. 111-130 ◽  
Author(s):  
S. Kerov
Keyword(s):  
Young Diagrams ◽  
Differential Model

scholarly journals Pharmacokinetic modeling of Gadolinium nanoparticles (Gd-NPs) with the sojourn time in vasa vasorum for the contrast enhanced MRI

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Angkhana Prommarat ◽  
Farida Chamchod
Keyword(s):  
Sojourn Time ◽  
Vasa Vasorum ◽  
Peripheral Arteries ◽  
Resonance Imaging ◽  
Differential Model ◽  
Transfer Rates ◽  
Dynamical Behaviors ◽  
Contrast Enhanced ◽  
Delay Differential

AbstractDeposition of lipid in the artery wall called atherosclerosis is recognized as a major cause of cardiovascular disease that leads to death worldwide. A better understanding into factors that may influence the delivery of gadolinium nanoparticles (Gd-NPs) that enhances quality of magnetic resonance imaging in diagnosis may provide a vital key for atherosclerotic treatment. In this study, we propose a delay differential model for describing the dynamics of Gd-NPs in bloodstream, peripheral arteries, and vasa vasorum with two phenomena of Gd-NPs during a sojourn in vasa vasorum. We then investigate the dynamical behaviors of Gd-NPs and explore the effects of sojourn time and transfer rates of Gd-NPs on the concentration of Gd-NPs in vasa vasorum at the 12th hour after the administration of gadolinium chelates contrast media and also the maximum concentration of Gd-NPs in peripheral arteries and vasa vasorum. Our results suggest that the sojourn of Gd-NPs in vasa vasorum may lead to complex behaviors of Gd-NPs dynamics, and transfer rates of Gd-NPs may have a significant impact on the concentration of Gd-NPs.

scholarly journals LAURENT POLYNOMIAL LANDAU–GINZBURG MODELS FOR COMINUSCULE HOMOGENEOUS SPACES

2021 ◽  
Author(s):  
PETER SPACEK
Keyword(s):  
Homogeneous Space ◽  
Homogeneous Spaces ◽  
Laurent Polynomial ◽  
Complete Intersections ◽  
Laurent Polynomials ◽  
Young Diagrams ◽  
Similar Shape ◽  
Algebraic Torus ◽  
The One ◽  
Polynomial Potentials

AbstractIn this article we construct Laurent polynomial Landau–Ginzburg models for cominuscule homogeneous spaces. These Laurent polynomial potentials are defined on a particular algebraic torus inside the Lie-theoretic mirror model constructed for arbitrary homogeneous spaces in [Rie08]. The Laurent polynomial takes a similar shape to the one given in [Giv96] for projective complete intersections, i.e., it is the sum of the toric coordinates plus a quantum term. We also give a general enumeration method for the summands in the quantum term of the potential in terms of the quiver introduced in [CMP08], associated to the Langlands dual homogeneous space. This enumeration method generalizes the use of Young diagrams for Grassmannians and Lagrangian Grassmannians and can be defined type-independently. The obtained Laurent polynomials coincide with the results obtained so far in [PRW16] and [PR13] for quadrics and Lagrangian Grassmannians. We also obtain new Laurent polynomial Landau–Ginzburg models for orthogonal Grassmannians, the Cayley plane and the Freudenthal variety.

The Swelling Kinetics Study of Hydrogels Prepared by the Different Finesses Degrees of Eupatorium Adenophorum

2013 ◽  
Vol 690-693 ◽  
pp. 1615-1619
Author(s):  
Hai Bo Wen ◽  
Xin Gao ◽  
Heng Zhang
Keyword(s):  
Water Uptake ◽  
Graft Copolymerization ◽  
Raw Materials ◽  
Low Cost ◽  
Granule Size ◽  
Swelling Kinetics ◽  
Kinetics Study ◽  
Eupatorium Adenophorum ◽  
Differential Model ◽  
Swelling Behaviors

In this study the different finesses degree of the pulverized Eupatorium Adenophorum (EA) was evaluated as potential raw materials for the low-cost hydrogels whose the swelling behaviors were compared and studied at the same graft-copolymerization condition. The results are shown that the absorbency of EA hydrogels increased with decreasing the granule size of pulverized EA from 0.450mm to 0.063mm, while the swelling ratios gradually decreased with continuously reducing the particles size to 0.020mm, and the swelling exponents have been found to indicate non-Fickian mechanism for EA hydrogels at the all finesses range of 0.020~0.450mm. Moreover, to obtain better model for above 60% water uptake, the Beren-Hopfenberg differential model was applied, which also enabled to calculate the relaxation constants.

Differential model of nucleate boiling

2007 ◽  
Vol 45 (2) ◽  
pp. 196-203
Author(s):  
A. P. Solodov
Keyword(s):  
Nucleate Boiling ◽  
Differential Model
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