The mathematical facet of modern crystallography is essentially based on analytical geometry, linear algebra as well as group theory. This study endeavours to approach the geometry and symmetry of crystals using the tools furnished by differential geometry ...
The segmentation of the early Drosophila embryo has proven to be a fertile ground for experimentalists and modellers. Until now, most models have assumed a one-dimensional geometry along a portion of the anterior-posterior axis, motivated by the nearly rot ...
A novel method is elaborated for the electromagnetic scattering from periodical arrays of scatterers embedded in a polarizable background. A dyadic periodic Green's function is introduced to calculate the scattered electric field in a lattice of dielectric ...
Background: The cerebellum is a complex structure that can be affected by several congenital and acquired diseases leading to alteration of its function and neuronal circuits. Identifying the structural bases of cerebellar neuronal networks in humans in vi ...
Creating many different complex structures from a single prepattern is achieved from either a master mold or stamping onto a solid substrate by patterning with a PDMS replica mold. Various metal patterns including ellipses, dots, rings, chains of dots (or ...
We present a general theory for semiconductor polarons in the framework of the Frohlich interaction between electrons and phonons. The latter is investigated using noncommuting phonon creation/annihilation operators associated with a natural set of nonorth ...
The color of materials such as paints, prints and glass may be characterized by a reflectance or a transmittance spectrum. Modeling their reflectance and their transmittance requires describing the interaction of light, from the light source to the observe ...
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Bone is a natural composite construct, with a gradient structure going from a loose interconnected cellular core to an outer dense wall, thus minimizing bone weight while keeping a high mechanical resistance. Due to this unique and complex structure, bone ...
The use of chemical nanopatterns through nanoimprint lithography ato align a nematic liquid crystal (LC) in LC cells was described. It was found that the ratio of areas with different surface-aligning helped in the polar orientation of LC, while the azimut ...
The utilization of the Green's tensor associated with a complex optical background (surface, cavity or stratified medium) leads to a dramatic reduction of the computation effort associated with scattering calculations in that background. This approach is i ...