Brain Vasculature and Intracranial Dynamics. February 22 nd , 2007 LPPD lab meeting. Michalis A. Xenos and Andreas A. Linninger Laboratory for Product and Process Design , Departments of Chemical and Bio-Engineering, University of Illinois, Chicago, IL, 60607, U.S.A.
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February 22nd, 2007
LPPD lab meeting
Michalis A. Xenos and Andreas A. Linninger
Laboratory for Product and Process Design,
Departments of Chemical and Bio-Engineering, University of Illinois, Chicago, IL, 60607, U.S.A.
Hydrocephalic Brain MRI
Normal Brain MRI
Distensibility of vasculature
are equal for i = 1, …,nEquations of motion for a vessel, Bifurcations and Unions
l : tube length
F: Poiseuille coef.
E : Young modulus
A0 : Initial cross sectional area
p* : External pressure
Unknowns: fin , p , A
Pulsatile blood pressure from MRI
Phase lagSpectral analysis for blood and ventricular signals from MRI data
the spectrum for
both pulses :
same to Zagzoule’s
Hademenos, Massoud, The physics of Cerebrovascular Diseases, 1998
we differentiate both sides of the above equation
the particular solution of the above equation is
Resonance : In an oscillating system with one degree of freedom, resonance is the state of minimal impedance.
1. Intracranial CSF pulsations are normally synchronous with
2. Normal intracranial CSF pulsations are of similar amplitude
and morphology in the ventricles and the subarachnoid space.
3. Arterial pulsations are normally filtered from the cerebelar
circulation, so the capillary blood flow is nearly smooth (the
Oscillations of CSF with a single degree of freedom are
described by the same differential equation that describes the
oscillations of electrons in an alternating current electrical circuit
The mechanism by which arterial pulsations are progressively dissipate to render the capillary circulation almost pulseless is called the windkessel effect.
Egnor et al, Pediatric Neurosurgery, 2001; 2002
aqueduct: – 52.5 ± 16.5o
prepontine cistern: – 22.1 ± 8.2o
C-2: +5.1 ± 10.5o (consistent with flow
synchronous with the arterial pulse)
Wagshul et al, J. Neurosurg, 2006
Zhu et al, J. MRI, 2006