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The update of the inequality constrained volume fractions is solved by adopting a Fischer Burmeister-type algorithm in combination with a Newton–Raphson scheme.
The advantage of the LOKI sampling design is the high contrast imaging of minute objects at high magnifications (here ~15 μm per pixel) at very short shutter times (<30 μs) in a physically constrained volume, being transparent before and behind the depth of field.
Here, the size of the probes is critical because of the constrained volume surrounding the receptors.
To perform (bio chemical reactions on a set of particles in microfluidic devices and to take full advantage of their multifunctionality (mixing, sorting, multiplexing, etc)., they usually have to be trapped into a constrained volume inside the chip while samples and reagents are flushed through the device.
We consider a penalization problem, and we prove that for small values of the penalization parameter, the constrained volume is attained.
This one-dimensional phase is confirmed by high resolution transmission electron microscopy and X-ray diffraction, revealing monatomic zigzag and linear sulfur chains inside the constrained volume of the carbon nanotubes.
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By comparing free swept volumes and constrained swept volumes in a virtual environment, maintenance space could be evaluated quantitatively and objectively.
A novel accurate numerical model for shallow water equations on sphere have been developed by implementing the high order multi-moment constrained finite volume (MCV) method on the icosahedral geodesic grid.
The survival factors could be chemical signals such as interleukins or growth factors, or a constrained physical volume necessary to maintain the cell type.
The theory could have implications on final shapes of organs whenever the growth is limited inside a constraining volume, such as lungs, liver or crabs legs.
Further phenomena, like PCD in the case of palm leaves, or inhomogeneous growth in the case of oaks, can also intervene to eventually shape the final leaf form once it is outside the constraining volume of the bud.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com