This paper presents a mathematical model of cerebrovascular regulation, in
which emphasis is given to the role of tissue hypoxia on cerebral blood flo
w (CBF). In the model, three different mechanisms are assumed to work on sm
ooth muscle tension at the level of large and small pial arteries: CO2 reac
tivity, tissue hypoxia, and a third mechanism necessary to provide good rep
roduction of autoregulation to cerebral perfusion pressure (CPP) changes. U
sing a single set of parameters for the mechanism gains, assigned via a bes
t fitting procedure, the model is able to reproduce the pattern of pial art
ery caliber and CBF under a large variety of physiological stimuli, either
acting separately (hypoxia, CPP changes, CO2 pressure changes) or in combin
ation (hypercapnia+hypoxia; hypercapnia+hypotension). Furthermore, the mode
l can explain the increase in CBF and the vasoconstriction of small pial ar
teries observed experimentally during hemodilution, ascribing it to the dec
rease in blood viscosity and to the antagonistic action of the flow-depende
nt mechanism (responsible for vasoconstriction) and of hypoxia (responsible
for vasodilation). Finally, the interaction between hypoxia and intracrani
al pressure (ICP) has been analyzed. This interaction turns out quite compl
ex, leading to different ICP time patterns depending on the status of the c
erebrospinal fluid outflow pathways and of intracranial compliance. (C) 200
1 Biomedical Engineering Society.