Institute of Clinical Radiology, Ludwig Maximilian University Munich, Marchioninistrasse 15, 81377 Munich, Germany.
Z Med Phys. 2010;20(2):101-14. doi: 10.1016/j.zemedi.2009.10.010. Epub 2009 Nov 28.
A basic formalism is presented for generating and interpreting compartmental models for dynamic contrast-enhanced MRI data in the kidney. A graphical convention is introduced to represent and design compartmental models in a transparent and physically intuitive manner. A systematic system of notations and a simple set of rules allows direct translation of the graphical representation into a mathematical solution. The rules are derived from the physical principle of mass conservation, and the interpretation provided by the general tracer-kinetic theory of linear and stationary systems. The power of the formalism is illustrated using examples of models that have been proposed in the literature on perfusion MRI, and by generating a number of advanced models that may be of use in the kidney.
本文提出了一种用于生成和解释肾脏动态对比增强 MRI 数据的房室模型的基本形式。本文引入了一种图形表示法，以透明和直观的方式表示和设计房室模型。一个系统的符号系统和一组简单的规则允许将图形表示直接转换为数学解。这些规则源于质量守恒的物理原理，以及线性和稳态系统的一般示踪动力学理论提供的解释。该形式的强大功能通过在灌注 MRI 文献中提出的模型示例以及生成一些可能在肾脏中有用的高级模型来说明。
