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Analysis of the distribution of materials within the blood-brain-cerebrospinal fluid system
Authors:Clifford S Patlak
Institution:(1) Theoretical Statistics and Mathematics Section, National Institute of Mental Health, Bethesda, Maryland
Abstract:When material is introduced into the blood-brain-cerebrospinal fluid system, it will distribute throughout the system in a manner dependent upon the geometrical characteristics and the physical and chemical parameters of the system. Since only average values of the concentration of the material are known in each of the parts of the system, and approximation approach is used in analyzing this distribution theoretically. A simplified model is chosen for the system and equations are derived. These equations are then applied to the results of four papers in the literature dealing with the distribution of thiocyanate. A fifth paper dealing with the sulfate extracellular space of brain is also analyzed.
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