title: A mathematical model of blood, cerebrospinal fluid and brain dynamics.
abstract: Using first principles of fluid and solid mechanics a comprehensive model of human intracranial dynamics is proposed. Blood, cerebrospinal fluid (CSF) and brain parenchyma as well as the spinal canal are included. The compartmental model predicts intracranial pressure gradients, blood and CSF flows and displacements in normal and pathological conditions like communicating hydrocephalus. The system of differential equations of first principles conservation balances is discretized and solved numerically. Fluid-solid interactions of the brain parenchyma with cerebral blood and CSF are calculated. The model provides the transitions from normal dynamics to the diseased state during the onset of communicating hydrocephalus. Predicted results were compared with physiological data from Cine phase-contrast magnetic resonance imaging to verify the dynamic model. Bolus injections into the CSF are simulated in the model and found to agree with clinical measurements.
authors.affiliation: Laboratory for Product and Process Design (LPPD), Department of Bioengineering and Chemical Engineering, University of Illinois at Chicago, Chicago, USA. linninge@uic.edu
authors.forename: Andreas A
authors.initials: AA
authors.lastname: Linninger
authors.forename: Michalis
authors.initials: M
authors.lastname: Xenos
authors.forename: Brian
authors.initials: B
authors.lastname: Sweetman
authors.forename: Sukruti
authors.initials: S
authors.lastname: Ponkshe
authors.forename: Xiaodong
authors.initials: X
authors.lastname: Guo
authors.forename: Richard
authors.initials: R
authors.lastname: Penn
mesh_terms: D000465:Algorithms; D000818:Animals; D001696:Biomechanical Phenomena; D001794:Blood Pressure / Q000502:physiology; D001921:Brain / Q000502:physiology* / Q000503:physiopathology; D002555:Cerebrospinal Fluid / Q000502:physiology*; D002560:Cerebrovascular Circulation / Q000502:physiology*; D003198:Computer Simulation; D006439:Hemodynamics; D006801:Humans; D006849:Hydrocephalus / Q000503:physiopathology; D007427:Intracranial Pressure / Q000502:physiology; D019028:Magnetic Resonance Imaging, Cine; D008954:Models, Biological; D008955:Models, Cardiovascular; D012212:Rheology; D013116:Spinal Cord / Q000502:physiology