scholarly journals A Mathematical Model of the Controlled Plant of the Réspiratory System

1971 ◽  
Vol 11 (10) ◽  
pp. 810-834 ◽  
Author(s):  
T.J. Trueb ◽  
N.S. Cherniack ◽  
A.F. D'Souza ◽  
A.P. Fishman
Keyword(s):  
Mathematical Model ◽  
Respiratory System

scholarly journals A Mathematical Model of the Human External Respiratory System

1961 ◽  
Vol 4 (3) ◽  
pp. 324-376 ◽  
Author(s):  
George B. Dantzig ◽  
James C. DeHaven ◽  
Irwin Cooper ◽  
Selmer M. Johnson ◽  
Edward C. DeLand ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Respiratory System

scholarly journals MATHEMАTICAL MODEL OF THE RESPIRATORY SYSTEM

2017 ◽  
pp. 155-160
Author(s):  
Р.К. МАМЕДОВ ◽  
Е.К. РАГИМОВА
Keyword(s):  
Mathematical Model ◽  
Gas Exchange ◽  
Respiratory System ◽  
Human Body ◽  
Diagnostic Methods ◽  
Diagnostic Tools ◽  
Scope Of Application ◽  
The Creation ◽  
Critical Situations

Modeling of organs and structures of the human body, in particular, the development of a mathematical model of gas exchange of the respiratory system, makes it possible to predict critical situations, to clarify the mecha-nisms of pathology formation. This, in turn, expands the scope of application of diagnostic methods and devices and is a prerequisite for the creation of automated diagnostic tools.

Lung-Diaphragm Behavior of the Respiratory System During Input From Excitation

2002 ◽  
Author(s):  
P. Ruby Mawasha ◽  
Paul Lam ◽  
Lalitha Kasturi
Keyword(s):  
Mathematical Model ◽  
Respiratory System ◽  
Periodic Motion ◽  
Constitutive Relations ◽  
Air Flow ◽  
Flow Conditions ◽  
Mouth Pressure ◽  
Parametric Studies ◽  
The Mathematical Model ◽  
Operating Regimes

A numerical behavior of a lung-diaphragm model of a respiratory system during input from mouth pressure and diaphragm excitation is being investigated. A lung-diaphragm is subject to constant inlet air-flow conditions into the respiratory system. The mouth pressure (Macia et. al., 1997) and diaphragm excitation (Ricci et. al., 2002) are described by a constitutive relations containing nonlinearities from rib cage muscles forces and inlet air-flow conditions. Within certain operating regimes, the model exhibits self-excited pulsatile periodic motion and the qualitative features of the response can be understood in terms of the underlying model. Further, the mathematical model is a more general approach and can be used to conduct parametric studies and determine the instability mechanisms involved in the modeling of lung-diaphragm behavior of the respiratory system during input from excitation.

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