Modeling tissue contrast agent concentration: A solution to the tissue homogeneity model using a simulated arterial input function
Modeling tissue contrast agent concentration: A solution to the tissue homogeneity model using a simulated arterial input function
复制标题
组织造影剂浓度建模：使用模拟动脉输入函数解决组织均匀性模型
DOI：
--
复制
发表时间：
2001
影响因子：
3.3
通讯作者：
F. Prato
中科院分区：
文献类型：
--
作者：
G. Moran;F. Prato
组织均匀性模型，它描述了组织的两个部分，一个血管内（iv）和一个血管外（ev），解决了两个耦合微分方程的拉普拉斯变换。通过假设动脉输入函数（AIF）的函数形式，或通过拟合实验确定的AIF，将该函数作为描述对毛细管的时间依赖性输入的边界条件引入到解中。对拉普拉斯空间中的组织均匀性模型方程的解进行数值反演，以获得作为时间的函数的ev空间中的示踪剂浓度以及作为位置和时间两者的函数的iv空间中的示踪剂浓度。Magn Reson Med 45：42-45，2001年。© 2001 Wiley利斯公司
The tissue homogeneity model, which describes tissue in terms of two compartments, one intravascular (iv) and one extravascular (ev), is solved by Laplace transformation of two coupled differential equations. By assuming a functional form for the arterial input function (AIF), or by fitting to an experimentally determined AIF, this function is introduced into the solution as a boundary condition describing the time dependent input to the capillary. The solution to the tissue homogeneity model equations in Laplace space are numerically inverted to obtain the concentration of tracer in the ev space as a function of time and in the iv space as a function of both position and time. Magn Reson Med 45:42–45, 2001. © 2001 Wiley‐Liss, Inc.