By Topic

A mathematical model of cerebral blood flow chemical regulation. I. Diffusion processes

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
M. Ursino ; Dept. of Electron., Bologna Univ., Italy ; P. Di Giammarco ; E. Belardinelli

A mathematical model which describes the production and diffusion of vasoactive chemical factors involved in oxygen-dependent cerebral blood flow (CBF) regulation in the rat is presented. Partial differential equations describing the relations between input and output variables have been replaced with simpler ordinary differential equations by using mathematical approximations of the hyperbolic functions in the Laplace transform domain. The model is composed of two submodels. In the first, oxygen transport from capillary blood to cerebral tissue is analyzed to link changes in mean tissue oxygen pressure with CBF and arterial oxygen concentration changes. The second submodel contains equations describing the production of vasoactive metabolites by cerebral parenchyma, due to a lack of oxygen and their diffusion towards pial perivascular space. The equations have been used to simulate the time dynamics of mean tissue P/sub O2/, perivascular adenosine concentration, and perivascular pH following changes in CBF. The simulation shows that the time delay introduced by diffusion processes is negligible compared with the other time constants of the system under study.<>

Published in:

IEEE Transactions on Biomedical Engineering  (Volume:36 ,  Issue: 2 )