A mathematical model of blood, cerebrospinal fluid and brain dynamics

DOI10.1007/s00285-009-0250-2zbMath1232.92042OpenAlexW1984689094WikidataQ48742846 ScholiaQ48742846MaRDI QIDQ843337

Sukruti Ponkshe, Richard Penn, Michalis Xenos, Brian Sweetman, Xiaodong Guo, Andreas A. Linninger

Publication date: 12 October 2009

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-009-0250-2

Mathematics Subject Classification ID

Neural biology (92C20) Biomedical imaging and signal processing (92C55) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Medical applications (general) (92C50) Biomechanics (92C10) Physiological flow (92C35)

Related Items (6)

Positive observers for linear positive systems, and their implications ⋮ Nonreflecting boundary conditions for a CSF model of fourth ventricle: spinal SAS dynamics ⋮ An Euler–Lagrange approach for studying blood flow in an aneurysmal geometry ⋮ On well-posedness of a mathematical model for cerebrospinal fluid in the optic nerve sheath and the spinal subarachnoid space ⋮ Hybrid \(L_\infty \times \ell_\infty \)-performance analysis and control of linear time-varying impulsive and switched positive systems ⋮ A comparison of two mathematical models of the cerebrospinal fluid dynamics

Cites Work

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• Intracranial compartmental pulse-wave simulation
• The hydromechanics of hydrocephalus: Steady-state solutions for cylindrical geometry
• A whole-body mathematical model for intracranial pressure dynamics
• Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
• The Fluid Mechanics of Large Blood Vessels
• The effects of wall inertia on flow in a two-dimensional collapsible channel
• A hydroelastic model of hydrocephalus
• A practical guide to splines.

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