A lumped parameter model of cerebral blood flow control combining cerebral autoregulation and neurovascular coupling

Description

The present model describes cerebral blood flow control including 
neurogenic, myogenic, metabolic, and shear stress based regulation. 
The cerebral vascular bed is modeled using a lumped parameter model, 
describing arterial, arteriolar and venous compartments. Arterial 
and venous compartments are modeled using linear components. The 
arteriolar vessel wall is described by Laplace's law, incorporating 
elastic, muscular and viscous components. The muscular (i.e., smooth
muscle cells in the vessel wall) component's tension is actively 
regulated via the aforementioned regulatory mechanisms. For more 
information, the reader is referred to the paper by Spronck et al.

Model code is currently configured to recreate Figure 7 of the paper 
which represents a NVC overshoot arising from neuronal-myogenic 
interaction. To simulate an eye opening, a function generator has been 
created to change the value of A_neuro from its baseline state of 0 to 
1 at time=1 second. To recreate Figure 8 of the paper (representing a 
NVC overshoot from interaction of neurogenic, myogenic, and metabolic 
regulation), Tau_neuro should be changed from 5 seconds to 10 seconds 
and G_meta should be changed from 0 to -60.

Equations

None.

The equations for this model may be viewed by running the JSim model applet and clicking on the Source tab at the bottom left of JSim's Run Time graphical user interface. The equations are written in JSim's Mathematical Modeling Language (MML). See the Introduction to MML and the MML Reference Manual. Additional documentation for MML can be found by using the search option at the Physiome home page.