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This paper shows that the temporal and spatial structure of adsorption desorption processes can be optimized for maximal packing of mass transfer into a fixed space, and for minimal overall pumping power.
(With the hexagonal cylinders on a triangular lattice, Fig. 2, the maximal packing of non-contacting cylinders of radius a = 16 lattice steps corresponds to the distance between their centers 2(a+1)cos(π/6)λmax = 0.023 µm, i.e. σmax≈43 cr./µm)./µm
Under several mathematical idealizations and assumptions, it is argued that the best arrangement for the firing fields is one that leads to maximal packing of the periodic firing fields.
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1) The main mathematical derivations are correct and the argument in favor of maximal packing for FCC grids is simple and elegant.
Furthermore, the work bears close resemblance to unpublished (but cited by the authors and publically posted) work by Balasubramanian et al. 1) The main mathematical derivations are correct and the argument in favor of maximal packing for FCC grids is simple and elegant.
Thus we introduce the concept of strictly cyclic maximal packing quadruple systems to deal with the cases of n≡0 (mod24) for (n,4,2 -OOCs.
However, the work does not provide a formal argument for optimality of other close packing arrangements (such as HCP and the non-periodic arrangements) and it is not clear that all the maximal packing arrangements are equivalent in terms of the Fisher information.
This difference proves that the optimal gradation factor is affected by the balanced distribution of the filler particles in the mixture achieving a maximal packing (Sided et al. 1992).
From a different perspective, the idea of 'untapped-hydrophobicity' raises new opportunities in the field of protein engineering, because it suggests that proteins can be designed to ensure maximal packing but such extreme packing schemes might not ensure an efficient functioning of the same protein.
By our recursive constructions, some infinite families are also given on strictly cyclic maximal packing quadruple systems.
As we will see later, σ is merely a scaling factor for the reduction in the diffusion coefficient, which prompted us to intentionally exaggerate the density over its typical physiological values, taking a close to maximal possible packing value of 42 cristae per micrometer of mitochondrial length as a standard σ for the lamellar topology.
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