ArticleJournal of the Royal Society, Interface2022
A hydraulic resistance model for interstitial fluid flow in the brain.
Article in Journal of the Royal Society, Interface, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed, 0 citations in OpenAlex.
- High frame ratebioRxiv : the preprint server for biology · 2026Article
- Computational Fluid Dynamic Model Prediction of Enhanced Glymphatic Clearance in Response to Focused Ultrasound-Mediated Blood-Brain Barrier Opening.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Perivascular interactions and tissue properties modulate directional glymphatic transport in the brain.Fluids and barriers of the CNS · 2025Article
- Advection and diffusion in perivascular and extracellular spaces in the brain.Journal of the Royal Society, Interface · 2025Article
- Regulation of brain fluid volumes and pressures: basic principles, intracranial hypertension, ventriculomegaly and hydrocephalus.Fluids and barriers of the CNS · 2024Review
- Perivascular pumping of cerebrospinal fluid in the brain with a valve mechanism.Journal of the Royal Society, Interface · 2023Article
- Cerebrospinal Fluid Flow.Annual review of fluid mechanics · 2023Article
- The glymphatic system: Current understanding and modeling.iScience · 2022Review
- Sensitivity analysis on a network model of glymphatic flow.Journal of the Royal Society, Interface · 2022Article
- Theoretical analysis of wake/sleep changes in brain solute transport suggests a flow of interstitial fluid.Fluids and barriers of the CNS · 2022Article
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Authors and funding
5 authors at 1 institution in 1 country.
Funding
Abstract
Metabolic wastes may be cleared from the brain by the flow of interstitial fluid (ISF) through extracellular spaces in the parenchyma, as proposed in the glymphatic model. Owing to the difficulty of obtaining experimental measurements, fluid-dynamic models are employed to better understand parenchymal flow. Here we use an analytical solution for Darcy flow in a porous medium with line sources (representing penetrating arterioles) and line sinks (representing ascending venules) to model the flow and calculate the hydraulic resistance as a function of parenchymal permeability and ISF viscosity for various arrangements of the vessels. We calculate how the resistance varies with experimentally determined arrangements of arterioles and venules in mouse and primate brains. Based on experimental measurements of the relative numbers of arterioles and venules and their spacing, we propose idealized configurations for mouse and primate brains, consisting of regularly repeating patterns of arterioles and venules with even spacing. We explore how the number of vessels, vessel density, arteriole-to-venule ratio, and arteriole and venule distribution affect the hydraulic resistance. Quantifying how the geometry affects the resistance of brain parenchyma could help future modelling efforts characterize and predict brain waste clearance, with relevance to diseases such as Alzheimer's and Parkinson's.
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