Document Detail


A mathematical model of cerebral blood flow chemical regulation--Part I: Diffusion processes.
MedLine Citation:
PMID:  2917764     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
This paper proposes 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. 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. This 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 presents equations describing the production of vasoactive metabolites by cerebral parenchyma, due to a lack of oxygen, and their diffusion towards pial perivascular space. These equations have been used to simulate the time dynamics of mean tissue PO2, perivascular adenosine concentration, and perivascular pH to changes in CBF. The present simulation points out that the time delay introduced by diffusion processes is negligible if compared with the other time constants of the system under study. In a subsequent work the same equations will be included in a model of the cerebral vascular bed to clarify the metabolite role in CBF regulation.
Authors:
M Ursino; P Di Giammarco; E Belardinelli
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  IEEE transactions on bio-medical engineering     Volume:  36     ISSN:  0018-9294     ISO Abbreviation:  IEEE Trans Biomed Eng     Publication Date:  1989 Feb 
Date Detail:
Created Date:  1989-03-27     Completed Date:  1989-03-27     Revised Date:  2009-11-11    
Medline Journal Info:
Nlm Unique ID:  0012737     Medline TA:  IEEE Trans Biomed Eng     Country:  UNITED STATES    
Other Details:
Languages:  eng     Pagination:  183-91     Citation Subset:  IM    
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MeSH Terms
Descriptor/Qualifier:
Animals
Brain Ischemia / metabolism*
Cerebrovascular Circulation*
Diffusion
Mathematics
Models, Biological*
Models, Cardiovascular*
Oxygen Consumption
Rats

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine


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