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(13 citation statements)

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“…This assumption is a limitation of the theory in the present paper as it excludes the possibility of a depen dence on strain rate; see Cowin [31] for a detailed discussion of this point. …”

confidence: 94%

“…This assumption is a limitation of the theory in the present paper as it excludes the possibility of a depen dence on strain rate; see Cowin [31] for a detailed discussion of this point. …”

confidence: 94%

“…In general, growth may depend on the state of stress at each point (Rodriguez et al 1994) or on the elastic part of the deformation due to external load (F 1 ) (Cowin 1996). According to this second approach a growth law may be generally written aṡ…”

confidence: 99%

“…The specific mechanical stimulus for growth is a subject of ongoing debate (Humphrey, 2001;Taber, 1995;Cowin, 1996;Omens, 1998). Here, we assume that the local onedimensional growth/contractile response (in the x-direction) depends on stress through the morphomechanical law (5) where D gx is the growth rate per unit length of an element in the current zero-stress state, σ 0 is the target (homeostatic) stress, and a is a positive constant.…”

confidence: 99%

“…Not all investigators accept this view, and some have postulated that growth and remodeling depend on strain, strain rate, or strain-energy density (Cowin, 1996;Omens, 1998;Carter et al, 1987). Some argue that cells contain no mechanism to directly sense the level of stress, just as there is no way for humans to experimentally measure stress inside a material.…”

confidence: 99%