4J-3 A New Rheological Model Based on Fractional Derivatives for Biological Tissues
Citations
49 citations
Cites methods from "4J-3 A New Rheological Model Based ..."
...…order integrals and derivatives, and the Kelvin-Voigt Fractional Derivative (KVFD) model has been applied to a number of experimental results from different tissues (Caputo 1967, Bagley and Torvik 1983, Suki et al 1994, Taylor et al 2001, Kiss et al 2004, Robert et al 2006, Zhang et al 2007)....
[...]
42 citations
31 citations
28 citations
Cites background from "4J-3 A New Rheological Model Based ..."
...…1981a), the power law and fractional derivative models (Caputo 1967, Bagley and Torvik 1983, Suki et al 1994, Taylor et al 2001, Kiss et al 2004, Robert et al 2006, Zhang et al 2007, Holm et al 2013, Holm and Nasholm 2014), poroelastic models (Biot 1941, 1962, Mow et al 1980, 1984, Mak 1986,…...
[...]
27 citations
Cites background from "4J-3 A New Rheological Model Based ..."
...The Kelvin–Voigt (K-V) model is the current default, but recent studies suggested a role for other models.(10,11) More complex rheological models often require a larger number of tissue parameters to fully represent tissue dispersion curves in vivo....
[...]
References
3,636 citations
"4J-3 A New Rheological Model Based ..." refers background in this paper
...Elastography relies on the link between the shear waves propagation and the viscoelastic properties of the probed medium [3]....
[...]
1,633 citations
"4J-3 A New Rheological Model Based ..." refers background in this paper
...Although the frequency behavior of Gd and Gl is predicted by the fractional derivative models, the observed ratio is still not predicted by the spring pot model [6] which is the simplest fractional derivative model....
[...]
...If the data were modelized by a spring pot [6], the ratio Gl/Gl would not be frequency dependant, i....
[...]
980 citations
"4J-3 A New Rheological Model Based ..." refers background in this paper
...During this exam, the physician is detecting stiffer region in the breast which can be linked to tumors (benign or malignant) or cyst [1]....
[...]
423 citations
371 citations