ArticleFluids and barriers of the CNS2019
Uncertainty quantification of parenchymal tracer distribution using random diffusion and convective velocity fields.
Article in Fluids and barriers of the CNS, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 30 papers.
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Who cites it
30 citing papers in PubMed, 58 citations in OpenAlex.
- Cochlear Aqueduct Advection and Diffusion Inferred from Computed Tomography Imaging with a Bayesian Approach.Journal of the Association for Research in Otolaryngology : JARO · 2026Article
- The Glymphatic-Venous Axis in Brain Clearance Failure: Aquaporin-4 Dysfunction, Biomarker Imaging, and Precision Therapeutic Frontiers.International journal of molecular sciences · 2025Review
- OAB-14 Attenuated Glymphatic System Disorder, Neuroinflammation and Dyskinesia in Parkinson's Disease Model Mice Induced by Rotenone.Neurochemical research · 2025Article
- A brain-wide solute transport model of the glymphatic system.Journal of the Royal Society, Interface · 2024Article
- Modeling of brain efflux: Constraints of brain surfaces.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Image analysis techniques for in vivo quantification of cerebrospinal fluid flow.Experiments in fluids · 2023Article
- Cerebrospinal fluid-contacting neurons: multimodal cells with diverse roles in the CNS.Nature reviews. Neuroscience · 2023Review
- Human brain solute transport quantified by glymphatic MRI-informed biophysics during sleep and sleep deprivation.Fluids and barriers of the CNS · 2023Article
- Image Analysis Techniques for In Vivo Quantification of Cerebrospinal Fluid Flow.bioRxiv : the preprint server for biology · 2023Article
- Neural activity induces strongly coupled electro-chemo-mechanical interactions and fluid flow in astrocyte networks and extracellular space-A computational study.PLoS computational biology · 2023Article
- Disentangling the impact of cerebrospinal fluid formation and neuronal activity on solute clearance from the brain.Fluids and barriers of the CNS · 2023Article
- Fluid dynamics in aging-related dementias.Neurobiology of disease · 2023Review
- Cerebrospinal Fluid Flow.Annual review of fluid mechanics · 2023Article
- Article
- Are brain displacements and pressures within the parenchyma induced by surface pressure differences? A computational modelling study.PloS one · 2023Article
- The glymphatic system: Current understanding and modeling.iScience · 2022Review
- Investigating molecular transport in the human brain from MRI with physics-informed neural networks.Scientific reports · 2022Article
- Perivascular pumping in the mouse brain: Improved boundary conditions reconcile theory, simulation, and experiment.Journal of theoretical biology · 2022Article
- Fluid transport in the brain.Physiological reviews · 2022Review
- The Glymphatic System: A Review of the Challenges in Visualizing its Structure and Function with MR Imaging.Magnetic resonance in medical sciences : MRMS : an official journal of Japan Society of Magnetic Resonance in Medicine · 2022Review
Corrections and comments
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Authors and funding
3 authors at 1 institution in 2 countries.
Funding
Abstract
backgroundInflux and clearance of substances in the brain parenchyma occur by a combination of diffusion and convection, but the relative importance of these mechanisms is unclear. Accurate modeling of tracer distributions in the brain relies on parameters that are partially unknown and with literature values varying by several orders of magnitude. In this work, we rigorously quantified the variability of tracer distribution in the brain resulting from uncertainty in diffusion and convection model parameters.
methodsUsing the convection-diffusion-reaction equation, we simulated tracer distribution in the brain parenchyma after intrathecal injection. Several models were tested to assess the uncertainty both in type of diffusion and velocity fields and also the importance of their magnitude. Our results were compared with experimental MRI results of tracer enhancement.
resultsIn models of pure diffusion, the expected amount of tracer in the gray matter reached peak value after 15 h, while the white matter did not reach peak within 24 h with high likelihood. Models of the glymphatic system were similar qualitatively to the models of pure diffusion with respect to expected time to peak but displayed less variability. However, the expected time to peak was reduced to 11 h when an additional directionality was prescribed for the glymphatic circulation. In a model including drainage directly from the brain parenchyma, time to peak occured after 6-8 h for the gray matter.
conclusionEven when uncertainties are taken into account, we find that diffusion alone is not sufficient to explain transport of tracer deep into the white matter as seen in experimental data. A glymphatic velocity field may increase transport if a large-scale directional structure is included in the glymphatic circulation.
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