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“…In general, it is convenient to express the stress tensors in terms of convected coordinates, which rotate with the material (Taber 2004). Growth laws of the form of equation (3.7) have been used in prior models for the cardiovascular system (Rachev et al 1996;Taber 1998;Rodriguez et al 2007;Alford et al 2008). Usually, the target stress is taken as constant, which seems to work reasonably well for functional adaptation of mature tissues.…”

confidence: 99%

“…In general, it is convenient to express the stress tensors in terms of convected coordinates, which rotate with the material (Taber 2004). Growth laws of the form of equation (3.7) have been used in prior models for the cardiovascular system (Rachev et al 1996;Taber 1998;Rodriguez et al 2007;Alford et al 2008). Usually, the target stress is taken as constant, which seems to work reasonably well for functional adaptation of mature tissues.…”

confidence: 99%

“…Baek et al (2006); Humphrey and Rajagopal (2002); Kroon and Holzapfel (2007a,b); Rachev et al (1996); Ryan and Humphrey (1999); Taber and Humphrey (2001); Watton et al (2004)). In the present paper, we propose a new theoretical model for the growth of human cerebral saccular aneurysms.…”

mentioning

confidence: 99%

“…Figure 1 shows the capability of the present model to represent analytically and accurately the typical exponential deformation of a variety of viscoelastic materials (Rachev et al 1996;Haslach Jr 2005;Tan et al 2008). The time dynamics response of the material is nonlinear, with a nonlinear beginning initial portion.…”

confidence: 99%