Elements of Lumped Parameter Models

2014 ◽  
pp. 53-75
Author(s):  
Matthew A. Davies ◽  
Tony L. Schmitz
Keyword(s):  
Lumped Parameter ◽  
Lumped Parameter Models

Lumped parameter models for two-ventricle and healthy and failing extracardiac Fontan circulations

2021 ◽  
Author(s):  
Matthew G Doyle ◽  
Marina Chugunova ◽  
S Lucy Roche ◽  
James P Keener
Keyword(s):  
Single Ventricle ◽  
Left Ventricular ◽  
Sensitivity Analyses ◽  
Surgical Strategies ◽  
Lumped Parameter ◽  
Lumped Parameter Models ◽  
Fontan Failure ◽  
Existence Of Periodic Solutions ◽  
Mathematical Definitions ◽  
Extracardiac Fontan

Abstract Fontan circulations are surgical strategies to treat infants born with single ventricle physiology. Clinical and mathematical definitions of Fontan failure are lacking, and understanding is needed of parameters indicative of declining physiologies. Our objective is to develop lumped parameter models of two-ventricle and single-ventricle circulations. These models, their mathematical formulations and a proof of existence of periodic solutions are presented. Sensitivity analyses are performed to identify key parameters. Systemic venous and systolic left ventricular compliances and systemic capillary and pulmonary venous resistances are identified as key parameters. Our models serve as a framework to study the differences between two-ventricle and single-ventricle physiologies and healthy and failing Fontan circulations.

Physically-based, lumped-parameter models for the prediction of oxygen concentration during Czochralski growth of silicon crystals

2021 ◽  
pp. 126384
Author(s):  
Kerry Wang ◽  
Holger Koch ◽  
Matthias Trempa ◽  
Christian Kranert ◽  
Jochen Friedrich ◽  
...  
Keyword(s):  
Oxygen Concentration ◽  
Czochralski Growth ◽  
Silicon Crystals ◽  
Lumped Parameter ◽  
Lumped Parameter Models ◽  
Physically Based

Lumped-parameter models for low-temperature geothermal fields and their application

Geothermics ◽  
2005 ◽  
Vol 34 (6) ◽  
pp. 728-755 ◽  
Author(s):  
Hulya Sarak ◽  
Mustafa Onur ◽  
Abdurrahman Satman
Keyword(s):  
Low Temperature ◽  
Lumped Parameter ◽  
Geothermal Fields ◽  
Lumped Parameter Models
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