Tube0D
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Tube0D is designed to simulate pressure-volume relations of vessels. |
Documentation
Tube0D is designed to simulate pressure-volume relations of vessels.
Parameters
- l: double
Length of the tube
- A_wall: double
Cross-sectional area of the wall
- k: double
Stiffness coefficient of the wall
- p0: double
Pressure at A=A0
- A0: double
Cross-sectional cavity area for p=p0
Signals
- V: array
Volume
- p: array
Pressure
(1)\[A_{norm} = \frac{V(t)}{l \cdot A_{wall}}\]
(2)\[p_{trans} = p0 \cdot \left(\frac{A_{norm} + 0.5}{A_0 / A_{wall} + 0.5}\right)^k\]
(3)\[Y = A_{wall} \sqrt{ \frac{A_{norm} \cdot (A_{norm} + 0.5)}{p_{trans} \cdot \rho_b \cdot k}}\]
Explanation
(Source code, png, hires.png, pdf)
Black line shows a reference relationship between Cavity volume and transmural pressure. In each plot, red and blue lines represent increased and decreased parameter value, respectively.