1995
DOI: 10.1115/1.3005109
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Abstract: This review deals with biomechanical aspects of growth (mass change), remodeling (property change), and morphogenesis (shape change) in living systems. The emphasis is on theoretical models, but relevant experimental results also are discussed. As an aid to the reader, the fundamental biological terms and concepts are defined for the general problem and for each specific topic. At the outset, the processes involved in growth, remodeling, and morphogenesis are described and placed within the context of the evol… Show more

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Cited by 524 publications
(400 citation statements)
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“…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.…”
Section: Morphomechanical Laws In One Dimensionmentioning
confidence: 99%
See 1 more Smart Citation
“…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.…”
Section: Morphomechanical Laws In One Dimensionmentioning
confidence: 99%
“…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. On the other hand, other researchers argue that Cauchy stress and strain rate are more likely candidates because, unlike strain, these quantities do not depend on a reference geometry, which may be somewhat arbitrary (Taber, 1995). To more clearly define a reference state for strain, Cowin (2004) recently proposed using the zero-stress configuration, but cells may never actually experience this configuration.…”
Section: Primary Ingredients Of the Hyper-restoration Hypothesismentioning
confidence: 99%
“…A number of basic morphogenetic mechanisms can be simulated numerically using algorithms for volumetric growth (Taber, 1995). Examples include differential and directed growth, cytoskeletal contraction, and active cell-shape change.…”
Section: Theory For Volumetric Growthmentioning
confidence: 99%
“…Models for epithelial morphogenesis have been used to study cell rearrangement, pattern formation, and invagination (Taber, 1995). The classic paper of Odell et al (1981) presents an FE model for a blastula consisting of a circular ring of cells.…”
Section: Relation To Previous Models For Morphogenesismentioning
confidence: 99%
“…There have been a number of 2D mechanical models proposed to study invagination (Taber, 1995). In the early work of Odell et al (1981), trusses are located in cells which are controlled by a viscoelastic constitutive law that triggers their apical constriction, and a bistable mechanism that ensures the invagination process.…”
Section: Introductionmentioning
confidence: 99%