ArticlePloS one2023
Multi-compartmental model of glymphatic clearance of solutes in brain tissue.
Article in PloS one, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Dead-Space Microdomains as Explicit Barriers to Extracellular Drug Transport in Alzheimer's Disease.Pharmaceutical research · 2026Article
- Human brain MRI data of intrathecally injected tracer evolution over 72 hours for data-integrated simulations.Scientific data · 2026Article
- Relationships between measures of neurovascular integrity and fluid transport in aging: a multi-modal neuroimaging study.Fluids and barriers of the CNS · 2025Article
- Perivascular and parenchymal fluid characteristics are related to age and cognitive performance across the lifespan.Imaging neuroscience (Cambridge, Mass.) · 2025Article
- Modeling CSF circulation and the glymphatic system during infusion using subject specific intracranial pressures and brain geometries.Fluids and barriers of the CNS · 2024Article
- A brain-wide solute transport model of the glymphatic system.Journal of the Royal Society, Interface · 2024Article
- Human brain solute transport quantified by glymphatic MRI-informed biophysics during sleep and sleep deprivation.Fluids and barriers of the CNS · 2023Article
Corrections and comments
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The glymphatic system is the subject of numerous pieces of research in biology. Mathematical modelling plays a considerable role in this field since it can indicate the possible physical effects of this system and validate the biologists' hypotheses. The available mathematical models that describe the system at the scale of the brain (i.e. the macroscopic scale) are often solely based on the diffusion equation and do not consider the fine structures formed by the perivascular spaces. We therefore propose a mathematical model representing the time and space evolution of a mixture flowing through multiple compartments of the brain. We adopt a macroscopic point of view in which the compartments are all present at any point in space. The equations system is composed of two coupled equations for each compartment: One equation for the pressure of a fluid and one for the mass concentration of a solute. The fluid and solute can move from one compartment to another according to certain membrane conditions modelled by transfer functions. We propose to apply this new modelling framework to the clearance of 14C-inulin from the rat brain.
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