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# Compliant_bifurcating_bronchiole

This model represents a bifurcating compliant bronchiole that could be used as a building block for constructing a network of bronchi.

Model number: 0123

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## Description

```  This model represents a bifurcating compliant bronchiole that could be used as
a building block for constructing a network of bronchi. The resistance offered by
bronchial wall to the flow of air is represented by the resistor in the electrical
circuit.The compliance of the bronchiole is represented by the capacitor. All the
three bronchi have separate compliances which are represented by three individual
capacitors. The difference between this model the compliant bifurcating airway model
is the absence of an inductor in the electrical circuit. In bronchi, diffusion
dominates conductance whereas in airway, conductance dominates as the driving force
and hence the presence of the inductance which represent the inertial effect.

``` Figure Legend:
Finlet: Inlet Flow, P: Pressure, R: Resistance, F: Flow, Com: Compliance, V: Volume.

## Equations

```Pinlet - P12 = Finlet * R11
P12  = (V1 - V1_0)/Com1
F12 = Finlet - F13
d(V1)/dt = F12
P12 - P13 = F13 * R12
F13 = F31 + F21
P13 - P22 = F21 * R21
P13 - P32 = F31 * R31
P22 = (V2 - V2_0)/Com2
F22 = F21 - F23
d(V2)/dt = F22
P22 - P23 = F23 * R22
P32 = (V3 - V3_0)/Com3
P32 - P33 = F33 * R32
d(V3)/dt = F32
F32 = F31 - F33

Where: P is pressure, F is flow, R is resistance, Com is capacitance, and V is the volume.
```