Finite-difference simulations of 3He diffusion in 3D alveolar ducts: comparison with the "cylinder model"

Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine
Stanislao FicheleJim M Wild

Abstract

Time-dependent measurements of 3He diffusion in the lung could provide an accurate method to quantify alveolar length scales and the progression of diseases such as emphysema. However, the apparent diffusion coefficient (ADC) presents a complex problem to model and solve analytically. Here, finite-difference methods were used to simulate diffusion in 3D alveolar ducts. The results were compared to the only available analytical model--the "cylinder model"--from which it is possible to estimate the average radii of the alveolar ducts from in vivo data. The trend in data observed from simulations was found to agree well with the cylinder model. However, the cylinder model always overestimated the average radii of the simulated alveolar ducts. The simulations also demonstrated that the measurement of the longitudinal ADC (along the alveolar ducts) should be sensitive to early emphysematous changes, whereas the measured radii should be far less sensitive.

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Citations

May 6, 2009·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Michal PlotkowiakVicente Grau
Feb 19, 2011·Journal of Applied Physiology·Baoshun Ma, Chantal Darquenne
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Jun 30, 2011·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·A L Sukstanskii, D A Yablonskiy
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