Partain C L, Wu H P, Staab E V, Johnston R E
Radiology. 1978 Jun;127(3):705-11. doi: 10.1148/127.3.705.
A mathematical model was developed to describe the multiregional flow of intrathecal indium-111 DTPA, and hence indirectly the flow of cerebrospinal fluid, in sequential spinal and cerebral CSF images. The model provides for an arbitrary input function, transport delay between appropriate compartments, transmeningeal and transependymal transport, and for bidirectional flow between most compartments. Two- and eight-compartment models were evaluated. The set of eight nonlinear differential equations was solved using numerical techniques. This model provides a quantitative basis for the interpretation of CSF kinetics.
建立了一个数学模型,用于描述鞘内注射铟 - 111二乙三胺五乙酸(DTPA)在连续的脊髓和脑脑脊液图像中的多区域流动,从而间接描述脑脊液的流动。该模型考虑了任意输入函数、各适当隔室之间的传输延迟、跨脑膜和跨室管膜传输,以及大多数隔室之间的双向流动。对二室和八室模型进行了评估。使用数值技术求解了由八个非线性微分方程组成的方程组。该模型为脑脊液动力学的解释提供了定量依据。