A Multiregional Kinetics Model for Cerebrospinal Fluid

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Abstract
A mathematical model was developed to describe the multiregional flow of intrathecal111In diethylenetriaminepentaacetic acid (DPTA) and hence indirectly the flow of CSF 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 biodirectional flow between most compartments. Two- and 8-compartment models were evaluated. The set of 8 nonlinear differential equations was solved using numerical techniques. This model provides a quantitative basis for the interpretation of CSF kinetics. Kinetics data from several human anatomical regions were interpreted according to each model.