The Differential Model: A Model for Animating Transformation of Objects Using Differential Inforamtion

1991 ◽  
pp. 5-15 ◽  
Author(s):  
Yoshihisa Shinagawa ◽  
Tosiyasu L. Kunii
Keyword(s):  
Differential Model

One dimensional fast computational partial differential model for heat transfer in lithium-ion batteries

2021 ◽  
Vol 37 ◽  
pp. 102471
Author(s):  
A. Mevawalla ◽  
S. Panchal ◽  
M.-K. Tran ◽  
M. Fowler ◽  
R. Fraser
Keyword(s):  
Heat Transfer ◽  
Lithium Ion Batteries ◽  
Lithium Ion ◽  
Partial Differential ◽  
Differential Model ◽  
One Dimensional

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.

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

scholarly journals COMPARISON OF MATHEMATICAL MODELS FOR THE USE OF ENROFLOXACIN IN DOGS

2019 ◽  
Vol 7 (2) ◽  
pp. 97-102 ◽  
Author(s):  
Miroslav Vasilev ◽  
Galya Shivacheva
Keyword(s):  
Differential Equation ◽  
Mathematical Models ◽  
Blood Plasma ◽  
Akaike Information Criterion ◽  
Order Differential Equation ◽  
Information Criterion ◽  
Second Order ◽  
Differential Model ◽  
Single Intravenous Injection ◽  
Future Developments

This article analyzes the process of changing the concentration of enrofloxacin in blood plasma in dogs after a single intravenous injection of the substance. Three mathematical models are proposed - algebraic and two models, based on a differential equation of first and second order. Identification of their parameters has been performed. Based on Akaike information criterion corrected as the best model was chosen the represented by a second-order differential equation. Three equations are identified and the exact numerical values of their parameters are obtained. For the evaluation and comparison of the three models, Akaike information criterion was used. The best results showed the second-order differential model. It will be used in future developments.

Dynamic Models for Magnetorheological Dampers and its Feedback Linearization

2009 ◽  
Vol 79-82 ◽  
pp. 1205-1208 ◽  
Author(s):  
Cheng Zhang ◽  
Lin Xiang Wang
Keyword(s):  
Differential Equation ◽  
Phase Transition ◽  
Ordinary Differential Equation ◽  
Feedback Linearization ◽  
Dynamic Models ◽  
Nonlinear Ordinary Differential Equation ◽  
Transition Theory ◽  
Magnetorheological Dampers ◽  
Differential Model ◽  
Mr Dampers

In the current paper, the hysteretic dynamics of magnetorheological dampers is modeled by a differential model. The differential model is constructed on the basis of a phenomenological phase transition theory. The model is expressed as a second order nonlinear ordinary differential equation with bifurcations embedded in. Due to the differential nature of the model, the hysteretic dynamics of the MR dampers can be linearized and controlled by introducing a feedback linearization strategy.

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