A time discretization scheme for a non-linear degenerate eddy current model for ferromagnetic materials

2006 ◽  
Vol 26 (1) ◽  
pp. 173-187 ◽  
Author(s):  
M. Slodička
Keyword(s):  
Eddy Current ◽  
Current Model ◽  
Time Discretization ◽  
Ferromagnetic Materials ◽  
Discretization Scheme ◽  
Non Linear ◽  
Linear Degenerate

scholarly journals Numerical analysis of a transient non-linear axisymmetric eddy current model

2015 ◽  
Vol 70 (8) ◽  
pp. 1984-2005 ◽  
Author(s):  
Alfredo Bermúdez ◽  
Dolores Gómez ◽  
Rodolfo Rodríguez ◽  
Pablo Venegas
Keyword(s):  
Numerical Analysis ◽  
Eddy Current ◽  
Current Model ◽  
Non Linear

MESSINE, a Parametric Three-Dimensional Eddy Current Model

2000 ◽  
Vol 12 (1) ◽  
pp. 65-86 ◽  
Author(s):  
R. La ◽  
B. Benoist ◽  
B. de Barmon ◽  
M. Talvard ◽  
R. Lengelle ◽  
...  
Keyword(s):  
Eddy Current ◽  
Current Model ◽  
Three Dimensional

An eddy-current model for three-dimensional inversion

1986 ◽  
Vol 22 (4) ◽  
pp. 282-291 ◽  
Author(s):  
H. Sabbagh ◽  
L. Sabbagh
Keyword(s):  
Eddy Current ◽  
Current Model ◽  
Three Dimensional

Modeling Cerebral Blood Flow and Ventilation Instability due to CO2

2021 ◽  
Author(s):  
Stanley M. Yamashiro ◽  
Takahide Kato
Keyword(s):  
Blood Flow ◽  
Cerebral Blood Flow ◽  
Current Model ◽  
Respiratory Control ◽  
Breath Hold ◽  
Chronic Obstructive ◽  
Brain Blood Flow ◽  
Linear Interaction ◽  
Non Linear ◽  
Flow Changes

A minimal model of cerebral blood flow and respiratory control was developed to describe hypocapnic and hypercapnic responses. Important non-linear properties such as cerebral blood flow changes with arterial partial pressure of carbon dioxide (PaCO2) and associated time dependent circulatory time delays were included. It was also necessary to vary cerebral metabolic rate as a function of PaCO2. The cerebral blood flow model was added to a previously developed respiratory control model to simulate central and peripheral controller dynamics for humans. Model validation was based on previously collected data. The variable time delay due to brain blood flow changes in hypercapnia was an important determinant of predicted instability due to non-linear interaction in addition to linear loop gain considerations. Peripheral chemoreceptor gains above a critical level, but within normal limits, was necessary to produce instability. Instability was observed in recovery from hypercapnia and hypocapnia. The 20 sec breath-hold test appears to be a simple test of brain blood flow mediated instability in hypercapnia. Brain blood flow was predicted to play an important role with non-linear properties. There is an important interaction predicted by the current model between central and peripheral control mechanisms related to instability in hypercapnia recovery. Post hyperventilation breathing pattern can also reveal instability tied to brain blood flow. Previous data collected in patients with chronic obstructive lung disease was closely fitted with the current model and instability predicted. Brain vascular volume was proposed as a potential cause of instability despite cerebral autoregulation promoting constant brain flow.

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