Validation of a Hemodynamic Model for the Study of the Cerebral Venous Outflow System Using MR Imaging and Echo-Color Doppler Data

Abstract

BACKGROUND AND PURPOSE: A comprehensive parameter model was developed to investigate correlations between cerebral hemodynamics and alterations in the extracranial venous circulation due to posture changes and/or extracranial venous obstruction (stenosis). The purpose of this work was to validate the simulation results by using MR imaging and echo-color Doppler experimental blood flow data in humans.

Paediatric haemodynamic modelling: development and experimental validation using quantitative flow MRI

“…In the 0-D algorithm, the intracranial autoregulation mechanisms and cerebral outflow were modeled according to the model by Ursino et al [12,23]. Each vessel was considered as an electric element with a given value of resistance, capacitance and conductance (Additional file 1) [14,21,[23][24][25][26][27]. Equations satisfy the momentum and mass conservation laws and describe the pressure-area relationship.…”

“…Models are regulated on the basis of physics and mechanics rules to understand the influences of the involved biological factors [11][12][13]. Moreover, pathological cases can be simulated starting from a model previously calibrated to mimic healthy subjects [14]. Indeed, such modeling must carry on comprehensive information about the morphology of the human vessels tree that is crucial to understand how a given change of the physiological parameters can affect the results.…”

“…In this study, the mathematical model built by Gadda et al [11,14,21] is modified to investigate more precisely the human brain drainage. The model considers the cardiovascular system as an electrical circuit where blood flow rate and pressure at the x anatomical level represent the electrical current and voltage, respectively.…”

“…The model considers the cardiovascular system as an electrical circuit where blood flow rate and pressure at the x anatomical level represent the electrical current and voltage, respectively. Accordingly, physiologic parameters of blood circulation are calculated [13,14].…”

Advances on the Modelling of Blood Flows and Pressures in Humans through a New Multiscale Mathematical Model

“…We developed a mathematical model to simulate cerebral and extracerebral flows and pressures in humans. The model is composed of an anatomically informed 1-D arterial network [4,5], and two 0-D networks of the cerebral circulation and brain drainage, respectively [6,7]. It takes into account the pulse-wave transmission properties of the 78 main arteries and the main hydraulic and autoregulation mechanisms ensuring blood supply and drainage to the brain.…”