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The proof relies on shape differentiation and a careful study of Dirichlet-to-Neumann operators associated to certain Helmholtz equations.
Recognizing such Euler flows as free-boundary problems, the proposed approach relies on shape differentiation combined with adjoint analysis to determine cost functional gradients.
We describe an efficient iterative solution method for the Stefan problem formulated in this way which uses shape differentiation and adjoint equations to determine the gradient of the cost functional.
The extracellular matrix (ECM) surrounding cells in vivo is a key regulator of their shape, differentiation state and motile behavior [10] [12].
Therefore, unless polymorphism in the mature protein is near zero, purifying selection primarily limits the number of polymorphic sites, whilst drift continues to shape differentiation and divergence as it does for neutral loci.
Results suggest that important cranial shape differentiation does occur between pygmies and non-pygmies but also between Eastern and Western populations and that size changes and allometries do not affect similarly Eastern and Western pygmies.
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When fatty infiltration is diffuse or lobar, segmental, or wedge shaped, differentiation from other focal hepatic disease is straightforward.
When QST and FST are similar, genetic drift alone can account for the observed genetic differentiation, whereas if QST and FST differ, selection has also shaped differentiation among populations.
Previous studies have shown that the Rho/ROCK pathway has a role in regulating cell shape and differentiation into cartilage, fat, and bone, as well as in tenogenic differentiation occurring in response to mechanical stretch.
Moreover, this study is in line with prior work suggesting that ROCK acts downstream of the effects of cell shape on differentiation (McBeath et al., 2004), since despite the fact that Y27632 induces a differentiation phenotype of a less spread cell, morphologically Y27632 either does not impact cell shape or enhances cell spreading.
The morphology of EPCs changes from short spindle-shaped cells, cell colonies and linear arrays to a typical cobblestone-like shape during differentiation to mature endothelial cells [ 19].
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