Modular model of the human CVS v.1

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Overall Circulation model
Simulation example: sodium load

Using the modular approach we have created a complex modular model of the human cardiovascular system (CVS) on the basis of:

The models have the same formalisms - ordinary differential equations with descrete events, however they have different time scales: seconds in the short-term model, minutes in the long-term one. Merge of the models was based on the next two points: The "Heart" and "Arteris" modules from the long-term modular model contain the averaged parameters such as arterial blood pressure or arterial resistance described in more detail by the short-term model, in its turn, the long-term human CVS model contains a blood volume regulation mechanism based on the salt-water balance in the human body, while the short-term model keeps the blood volume parameter at a constant level. The established connections between the modules were taken from different models:

Arterial pressure PA and cardiac output Vout from the short-term model are passed to the long-term model (after the averaging to avoid systole-diastole oscillations) Blood volume VSyst is passed to the short-term model

References

  1. Karaaslan F., Denizhan Y.,Kayserilioglu A., Gulcur H.O. Long-term mathematical model involving renal sympathetic nerve activity, arterial pressure, and sodium excretion // Ann. Biomed. Eng. 2005. Vol.33. P.1607 - 1630.
  2. Solodyannikov Y.V. The elements or mathematical modeling and hemodynamics system identification. Samara: The university of Samara, 1994.
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