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Lumped parameter differential equation models are a common approach to modeling the cardiovascular system. However, there are highly non-linear valve dynamics inherent in these models which makes parameter identification difficult. Standard methods for parameter identification rely on gradient descent, which can often converge to wrong solutions, particularly as the number of parameters increases...
A nonlinear mathematical model for the long-term arterial blood pressure dynamics is derived by integrating the key features of the regulatory mechanisms of cardiovascular-renal systems. In spite of the reduced number of dynamic equations and simplicity of the model, we have incorporated many of the ANA control mechanisms and hormonal activities which operate on different subsystems. The dynamic responses...
A mathematical model of short-term cardiovascular regulation is used to investigate how heart period power spectrum reflects alterations in cardiovascular parameters. The model includes the pulsating heart, the systemic and pulmonary circulation, the mechanical effects of respiration on hemodynamics, two groups of receptors (arterial baroreceptors and lung-stretch receptors), the sympathetic and vagal...
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