2009
DOI: 10.1016/j.jtbi.2008.10.021
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Abstract: A new theoretical model for the growth of saccular cerebral aneurysms is proposed by extending the recent constitutive framework of Kroon and Holzapfel (J. Theor. Biol., 247:775-787, 2007). The continuous turnover of collagen is taken to be the driving mechanism in aneurysmal growth. The collagen production rate depends on the magnitude of the cyclic deformation of fibroblasts, caused by the pulsating blood pressure during the cardiac cycle. The volume density of fibroblasts in the aneurysmal tissue is taken t… Show more

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Cited by 54 publications
(32 citation statements)
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References 89 publications
(109 reference statements)
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“…Consequently, our mechanical stimulus could be formulated as the strain-based equation (2.3), i.e. very similar to earlier models [6,7,[12][13][14]. With the help of the histomechanical relation equation (2.1), the mechanical stimulus could also be formulated in stress space that leads to a stress-based stimulus, which has also been suggested in the literature [8 -11].…”
Section: Discussionmentioning
confidence: 92%
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“…Consequently, our mechanical stimulus could be formulated as the strain-based equation (2.3), i.e. very similar to earlier models [6,7,[12][13][14]. With the help of the histomechanical relation equation (2.1), the mechanical stimulus could also be formulated in stress space that leads to a stress-based stimulus, which has also been suggested in the literature [8 -11].…”
Section: Discussionmentioning
confidence: 92%
“…Consequently, a stretch-based model [6,7,[12][13][14] that allowed a gradual sensing of the collagen fibre stretch was considered. In a normal vessel wall, only about 6 or 7 per cent of collagen fibrils are engaged at physiological deformation [52,53].…”
Section: Sensing Mechanismmentioning
confidence: 99%
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“…So far, several computational G&R models have been developed to investigate the effect of timedependent biomechanical characteristics of an aneurysm (such as stress-mediated collagen fibers generation, degradation, and orientation) on its expansion, stress distribution, and strength [20,21,[25][26][27][28]. Here, we use a previously developed membrane G&R model, with the details presented in Ref.…”
Section: Methodsmentioning
confidence: 99%
“…For the past decade, several researchers have developed computational models of vascular adaptation during the progression of vascular diseases (Baek et al 2006(Baek et al , 2007Figueroa et al 2009;Kroon and Holzapfel 2009;Watton and Hill 2009). Many of these models have been built upon the theoretical framework of modeling tissue G&R presented by Humphrey and Rajagopal (2002).…”
Section: Introductionmentioning
confidence: 99%