PMID: 9525764Apr 3, 1998Paper

Nonparametric block-structured modeling of lung tissue strip mechanics

Annals of Biomedical Engineering
G N MaksymJ H Bates

Abstract

Very large amplitude pseudorandom uniaxial perturbations containing frequencies between 0.125 and 12.5 Hz were applied to five dog lung tissue strips. Three different nonlinear block-structured models in nonparametric form were fit to the data. These models consisted of (1) a static nonlinear block followed by a dynamic linear block (Hammerstein model); (2) the same blocks in reverse order (Wiener model); and (3) the blocks in parallel (parallel model). Both the Hammerstein and Wiener models performed well for a given input perturbation, each accounting for greater than 99% of the measured stress signal variance. However, the Wiener and parallel model parameters showed some dependence on the strain amplitude and the mean stress. In contrast, a single Hammerstein model accounted for the data at all strain amplitudes and operating stresses. A Hammerstein model featuring a fifth-order polynomial static nonlinearity and a linear impulse response function of 1 s duration accounted for the most output variance (99.84%+/-0.13%, mean+/-standard deviations for perturbations of 50% strain at 1.5 kPa stress). The static nonlinear behavior of the Hammerstein model also matched the quasistatic stress-strain behavior obtained at the same str...Continue Reading

Citations

Mar 24, 2007·Annals of Biomedical Engineering·Jason H T Bates
Aug 10, 2007·Annals of Biomedical Engineering·Steven W SuAndrey V Savkin
Dec 3, 2009·Annals of Biomedical Engineering·Steven W SuTeddy M Cheng
Mar 20, 2013·Annals of Biomedical Engineering·Jason H T Bates, Baoshun Ma
Jan 8, 2011·Journal of Applied Physiology·Béla Suki, Jason H T Bates
May 28, 2013·IEEE Transactions on Bio-medical Engineering·Kian Jalaleddini, Robert E Kearney
Feb 10, 2004·IEEE Transactions on Bio-medical Engineering·Erika J Dempsey, David T Westwick
Mar 11, 2010·Respiratory Physiology & Neurobiology·András LorxZoltán Hantos
May 14, 2011·Journal of Applied Physiology·Pablo V RomeroConcepción Cañete

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