Department of Mechanical Engineering and Materials Science, Washington University, St Louis, Missouri 63110, USA.
Magn Reson Med. 2013 Mar 1;69(3):884-90. doi: 10.1002/mrm.24304. Epub 2012 May 7.
We present a model of gas exchange for hyperpolarized (129)Xe in the lung, which we refer to as the Model of Xenon Exchange. The model consists of two expressions and characterizes uptake of dissolved xenon in the lung at two different resonance frequencies. The two expressions are governed by the following five critical pulmonary parameters that characterize both lung function and structure: the surface-area-to-volume ratio, barrier-to-septum ratio (ratio between air-blood barrier thickness and septal thickness), hematocrit, gas-exchange time constant, and pulmonary capillary transit time. The model is first validated by computer simulation. We show that Model of Xenon Exchange can be used to measure the pulmonary parameters mentioned above under various pathological or physiological conditions and is robust against moderate noise. Model of Xenon Exchange is further used to fit an existing data set of xenon uptake, thereby we demonstrate that the data can be well interpreted with Model of Xenon Exchange and reasonable parameters from the fitting routine. The good results obtained in both simulation and fitting to real data indicate that the model is sensitive to various functional and structural changes of the lung, and that it will allow for screening for a variety of pulmonary diseases by using hyperpolarized (129)Xe of the lung.
我们提出了一个用于肺部超极化(129)氙气交换的模型,我们称之为氙气交换模型。该模型由两个表达式组成,用于描述在两种不同共振频率下肺部溶解氙气的吸收。这两个表达式由以下五个关键的肺部参数控制,这些参数既描述了肺功能,也描述了肺结构:表面积与体积比、屏障与隔板比(空气-血液屏障厚度与隔板厚度之比)、血细胞比容、气体交换时间常数和肺毛细血管转运时间。该模型首先通过计算机模拟进行验证。我们表明,氙气交换模型可用于在各种病理或生理条件下测量上述肺部参数,并且对适度的噪声具有鲁棒性。氙气交换模型还用于拟合现有的氙气吸收数据集,从而我们证明该模型可以很好地解释数据,并且可以从拟合过程中得到合理的参数。在模拟和对真实数据的拟合中获得的良好结果表明,该模型对肺部的各种功能和结构变化都很敏感,并且可以通过使用肺部超极化(129)氙气来筛选各种肺部疾病。