Key result
A linearized state model of long-term arterial blood pressure regulation showed close matching with the nonlinear model, providing insights into complex physiological cardiovascular control.
A linearized state model of long-term blood pressure regulation closely matches nonlinear models, offering a simplified method to analyze complex cardiovascular and hormonal interactions.
Long term arterial blood pressure regulation involves complex interactions of the cardiovascular system, kidney and other organs. In hypertension related diseases, the control pathways are impaired and parameters for its quantification might be of prognostic importance. In this paper, we introduce methods based on the state variable approach for the enhanced analysis of complex interactions. To assess the dynamics of arterial blood pressure regulation, the linearized state model has been employed. This paper presents a seventh order nonlinear mathematical model of the long term arterial blood pressure regulation incorporating many of the nervous control mechanisms and hormonal activities. Subsequently, the structural properties, as well as the transient and steady state properties, are assessed using the eigen value concept. The comparison of model response with those of the nonlinear model shows close matching. In conclusion, the analysis of the linearised model provides insights into complex, nonlinear physiological interactions and furthermore reveals physiological cardiovascular control about the equilibrium point.
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Shahin et al. (2011) studied Hypertension. State variable approach and linearized state model vs. Nonlinear model was evaluated on Model response matching. A linearized state model of long-term arterial blood pressure regulation showed close matching with the nonlinear model, providing insights into complex physiological cardiovascular control.
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