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Computer identification of models for the arterial tree input impedance: Comparison between two new simple models and first experimental results

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Abstract

Two new simple models for the arterial tree input impedance are presented. The first is a 4-element windkessel model, obtained by paralleling the characteristic resistance of the 3-element windkessel model (Westerhof, 1968) with an inductance. The second is a tube model with a complex load, which is characterised by four parameters also. The parameters of these models are estimated from aortic root pressure and flow, which are either simulated by a complex numerical model of the peripheral arterial tree or measured in dogs.

The parameter estimation is carried out using an automatic procedure based on the Powell optimisation algorithm. The importance of the evaluation of the achievable accuracy in the estimation of parameters and its relationship to model identifiability is emphasised.

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Burattini, R., Gnudi, G. Computer identification of models for the arterial tree input impedance: Comparison between two new simple models and first experimental results. Med. Biol. Eng. Comput. 20, 134–144 (1982). https://doi.org/10.1007/BF02441348

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