If the cross-sectional area A(x) of alveoli increases with exponential law the solution of the equation of the motion has an exponential shape, with an apparently dominant role of velocity v(x,t): the function c(x,t) crosses the ordinate axis at , and then tends toward a rapid increase with time. The mathematical model provided by the Fokker-Planck equation for alveolar diffusion provides a relationship between the diffusive lung capacity and the physical property of the alveoli (effective diffusity.). Boundary conditions given above seem play a major role on the diffusing capacity, and therefore, the measure of this parameter (by means of the single breath test) is enough to detect diffusion abnormalities, but yet not suitable to distinguish different causes of respiratory diseases.

G.Pallotti, P.Pettazzoni, M.Mattina, M.Nichelatti, I.Barbieri. (2004). Solution of the FPE describing diffusion in Alveoli..

Solution of the FPE describing diffusion in Alveoli.

PALLOTTI, GIOVANNI;PETTAZZONI, PAOLO;MATTINA, MARCO;BARBIERI, ISABELLA
2004

Abstract

If the cross-sectional area A(x) of alveoli increases with exponential law the solution of the equation of the motion has an exponential shape, with an apparently dominant role of velocity v(x,t): the function c(x,t) crosses the ordinate axis at , and then tends toward a rapid increase with time. The mathematical model provided by the Fokker-Planck equation for alveolar diffusion provides a relationship between the diffusive lung capacity and the physical property of the alveoli (effective diffusity.). Boundary conditions given above seem play a major role on the diffusing capacity, and therefore, the measure of this parameter (by means of the single breath test) is enough to detect diffusion abnormalities, but yet not suitable to distinguish different causes of respiratory diseases.
2004
65
65
G.Pallotti, P.Pettazzoni, M.Mattina, M.Nichelatti, I.Barbieri. (2004). Solution of the FPE describing diffusion in Alveoli..
G.Pallotti; P.Pettazzoni; M.Mattina; M.Nichelatti; I.Barbieri.
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/11818
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact