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The recently proposed glymphatic system suggests that bulk flow is importantfor clearing waste from the brain, and as such may underlie the development ofe.g. Alzheimer's disease. The glymphatic hypothesis is still controversial andseveral biomechanical modeling studies at the micro-level have at leastpartially dismissed the system and its assumptions. In contrast, at themacro-level, there are many experimental findings in support of bulk flow.Here, we will investigate to what extent the CSF tracer distributions seen innovel magnetic resonance imaging (MRI) investigations over hours and days aresuggestive of bulk flow or diffusion. In order to include the complex geometryof the brain, the heterogeneous CSF flow around the brain, and the transportover the time-scale of days, we employed the methods of partial differentialconstrained optimization to identify the apparent diffusion coefficient (ADC)that would correspond best to the MRI findings. We found that the computed ADCin grey and white matter was respectively 23\% and 82\% larger than the ADCestimated with DTI, which suggests that diffusion may not be the only mechanismgoverning transport.

Can diffusion alone explain brain-wide distribution of a CSF tracer within 24 hours?