Working paper or preprint, September 2022.
Multi-compartmental model of glymphatic clearance of solutes in brain tissue.
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Jupyter Notebook showing the findings presented in the paper.
Multicompartment in the mouse brain (Jupyter Notebook)
This Research Object contains links to the paper, source code, etc. for the simulations presented in the paper "Multi-compartmental model of glymphatic clearance of solutes in brain tissue" by Poulain, Riseth and Vinje. For now it contains only a minimal working example for running the simulations, but will be reorganized to be more accessible and more easily extended in the near future. Summary of the paper: the Glymphatic system is the subject of numerous pieces of research in Biology. Mathematical modeling plays a considerable role in this field since it can indicate the possible physical effects in 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 molecule. The fluid and solute can move from one compartment to another according to certain membrane conditions modeled by transfer functions. We propose to apply this new modeling framework to the clearance of 14 C-inulin from the rat brain.
Dokken, Jørgen Schartum, Jørgen Riseth, Vegard Vinje, and Anne Foilloux. "MultiCompartment Solute Transport." ROHub. Nov 26 ,2022. https://w3id.org/ro-id/e7f90fc2-ddcb-4369-9f31-b81123b40533.
Nordic e-Infrastructure Collaboration (NeIC)
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 molecule.
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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.
This Research Object contains links to the paper, source code, etc. for the simulations presented in the paper "Multi-compartmental model of glymphatic clearance of solutes in brain tissue" by Poulain, Riseth and Vinje.
Science and technology/Natural science/Biology
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