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Mathematical model > Vascular model > Arterial pulmonary model
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Arterial pulmonary model
The system of correlations (7) - (11) is concretized conformably to pulmonary arteries (AR compartment).
Arterial pulmonary pressure PAR is determined by this dependence on the blood volume VAR in this section:
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(27) |
In the formula (23) volumetric elasticity GAR describes rigidity properties of arterial walls, ωAR - stressless volume in this section of vascular system. Values of volumetric elasticity and stressless volume decribe arterial tone. In our model these values linearly depend on neurohumoral factor γ:
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(28) |
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(29) |
The formula (28) describes the increase of arterial wall elasticity under the increase of neurohumoral input, the formula (29) describes the arterial constriction under the increase of neurohumoral input.
The derivative of arterial blood volume VAR is evaluated with the difference between input and output blood flows, i.e. the differential equation takes place:
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(30) |
where FHRAR – blood flow through pulmonary valve, FARVR – blood flow through pulmonary capillaries.
Values of blood flows FHRAR è FARVR are determined by formulas (20) and (10) .
The conductivity value YHRAR in the section of pulmonary valve is a model parameter, i.e. one of the components of parametres A vector .
Mathematical model > Vascular model > Arterial pulmonary model
References on the topic:
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