Valve2022

circadapt.components.connector.Valve2022(model)

Valve2022 valve connects two nodes.

Documentation

Valve2022 valve connects two nodes.

Parameters

adaptation_Aopen_fac: double

factor used

AOpen: float

Opening area

ALeak: float

Leaking valve area

Len: float

Length of valve

rhob: float

Blood density

papillary_muscles: bool

If true, papilary muscle implementation is activated

soft_closure: bool

If true, a soft closure is activated

Signals

q: float

Flow through the valve

qDot: float

Time derivative of the flow q

Module

The Valve module describes flow $q$ from a proximal to a distal node. The flow $q$ is a state variable, and its derivative is given by

$$\frac{dq}{dt}=\frac{A_{eff}}{L_{eff}}[\frac{q\cdot |q|}{2}(\frac{1}{A_{prox}^2}-\frac{1}{A_{eff}^2})-\frac{\mathrm{\Delta }p}{\rho }]$$

Inertia term $L_{eff}$ is given by

$$L_{eff}=1.5\cdot \rho \cdot (\frac{l}{/}{A}_{eff}+0.5\cdot (\frac{1}{\sqrt{A_{prox}}}+\frac{1}{\sqrt{A_{dist}}}))$$

The effective valve area $A_{eff}$ is given by

$$\begin{array}{r}{A}_{eff}=\begin{array}{cc}min(A_{open},f_{A_{open}{A}_{ext}}\cdot A_{ext})& \text{if}\mathrm{\Delta }p>0\\ A_{open}& \text{if}\mathrm{\Delta }p<0\text{and}q>0\\ A_{leak}& \text{if}\mathrm{\Delta }p<0\text{and}q<0\end{array}\end{array}$$

The derivative contains of a friction dominated component and inertia component. The first is depending on the pressure difference $\mathrm{\Delta }p$ and blood density $\rho$, the latter on the flow $q$ and valve area $A$.

(Source code)

(png, hires.png, pdf)

(png, hires.png, pdf)