A Mathematical Model of Pendelluft Flow in a Single Airway Bifurcation

1999 ◽  
pp. 503-504
Author(s):  
Z. C. Feng ◽  
Chisang Poon
Keyword(s):  
Mathematical Model ◽  
Airway Bifurcation

Pendelluft Flow in Symmetric Airway Bifurcations

1998 ◽  
Vol 120 (4) ◽  
pp. 463-467 ◽  
Author(s):  
Z. C. Feng ◽  
C.-S. Poon
Keyword(s):  
Mathematical Model ◽  
Experimental Study ◽  
Fluid Flow ◽  
Differential Equations ◽  
Physiological Parameters ◽  
Airway Bifurcation

We propose a mathematical model for pendelluft flow in a single airway bifurcation. The model is motivated by an apparatus used in an experimental study of the pendelluft by Ultman et al. (1988). We derive differential equations governing the fluid flow, which directly connect physiological parameters to the variables determining the pendelluft; this approach allows us to include nonlinearity in the model. If nonlinearity is neglected, our model is identical to the R-I-C circuits used by previous investigators. If nonlinearity is retained, we show that pendelluft can occur even in perfectly symmetric airway bifurcations. For the specific apparatus used in the experiments of High et al. (1991), we demonstrate that two qualitatively different pendelluft flows can occur in the system.

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model

A MATHEMATICAL MODEL FOR PARTICLE CLASSIFICATION

1988 ◽  
Vol 8 (2) ◽  
pp. 133-144 ◽  
Author(s):  
Chunxuan Jiang
Keyword(s):  
Mathematical Model ◽  
Particle Classification

Imprecision of Laboratory Determinations and Diagnostic Accuracy: Theoretical Considerations

1974 ◽  
Vol 13 (03) ◽  
pp. 151-158 ◽  
Author(s):  
D. A. B. Lindbebo ◽  
Fr. R. Watson
Keyword(s):  
Mathematical Model ◽  
Diagnostic Accuracy ◽  
Diagnostic Process ◽  
Clinical Laboratories ◽  
Non Linear ◽  
Theoretical Considerations ◽  
Made In

Recent studies suggest the determinations of clinical laboratories must be made more precise than at present. This paper presents a means of examining benefits of improvement in precision. To do this we use a mathematical model of the effect upon the diagnostic process of imprecision in measurements and the influence upon these two of Importance of Diagnosis and Prevalence of Disease. The interaction of these effects is grossly non-linear. There is therefore no proper intuitive answer to questions involving these matters. The effects can always, however, be calculated.Including a great many assumptions the modeling suggests that improvements in precision of any determination ought probably to be made in hospital rather than screening laboratories, unless Importance of Diagnosis is extremely high.

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