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. 2019 Sep 28;24(19):3521. doi: 10.3390/molecules24193521

Table 1.

Computational models implemented to replicate deformation in porous structures defining the material, strain energy density function theoretical framework, and the dimension reached in each study.

Study Material Framework Dimension Reference
Tanaka and Fillmore 1979 Hydrogel Statistical 2D [47]
Bowen 1980 Hydrogel Continuum 2D [62]
Lanir 1987 Biological Tissue Continuum 2D [66]
Lai et al., 1991 Articular Cartilage Continuum 2D [67]
Huyghe and Janssen 1997 Porous Media Continuum 2D [68]
Oh et al., 1998 Hydrogel Statistical 2D [83]
Van Loon et al., 2003 Biological Tissue Continuum 3D [72]
Dolbow et al., 2005 Hydrogel Statistical 2D [84]
Malakpoor et al., 2007 Articular Cartilage Continuum 2D [81]
Hong et al., 2008 Hydrogel Statistical 2D [17]
Hong et al., 2009 Hydrogel Statistical 2D [70]
Kang and Huang 2010 Hydrogel Continuum 2D [71]
Chester and Anand 2010 Hydrogel Statistical 2D [49]
Duda et al., 2010 Hydrogel Statistical 2D [50]
Bouklas et al., 2012 Hydrogel Statistical 2D [85]
Bouklas et al., 2015 Hydrogel Statistical 2D [73]
Bertrand et al., 2016 SAP Statistical 3D [10]
Yu et al., 2018 SAP Continuum 3D [11]