This model simulates the pressure and geometry resulting from changes in the internal radius of a thick-walled, distensible, isotropic, cylindrical vessel.

Description

 This model simulates the pressure and geometry resulting from changes in the internal 
 radius of a thick-walled, distensible, isotropic, cylindrical vessel. Reference pressures 
 and volumes are tunable. Stresses in the radial and axial directions are neglected and 
 vessel wall material is assumed to be incompresible. An external function “ri” sets the 
 inner radius values within the time domain. 

 This model does not replicate a typical blood vessel Pressure-Radius relationship because 
 the wall material is characterized by a constant Young's modulus. As blood vessels dilate 
 a constant Young's modulus cannot capture the relative stiffening of the vessel wall due 
 to the collagen fibers in the adventitia. 	

Equations

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.