in this paper, we propose to extend the hierarchical bivariatehermite interpolant to the spherical case. let $t$ be an arbitraryspherical triangle of the unit sphere $s$ and  let $u$ be a functiondefined over the triangle $t$. for $kin mathbb{n}$, we consider ahermite spherical interpolant problem $h_k$ defined by some datascheme $mathcal{d}_k(u)$ and which admits a unique solution $p_k$in the ...

While the topic of Molecular Computation would have appeared even a half dozen years ago to be purely conjectural, it now is an emerging sub eld of computer science with the development of its theoretical basis and a number of moderate to large-scale experimental demonstrations. This paper focuses on a subarea of Molecular Computation known as DNA self-assembly. Self-assembly is the spontaneous...

Gene expression profiling is the characterization of cells based on the level of gene activity represented by concentrations of complementary DNA reverse transcribed from messenger RNA. The spectrum of cDNA concentrations, the expression profile, is determined using a DNA microarray. Although this approach is valuable for research, a simpler scheme that would give answers on a shorter time-scal...

cesses recently in constructing individual molecular components and manipulating molecules with probing devices, but there are few methods for constructing complex devices out of large numbers of these molecular components. We need methods to help hold, shape, and assemble molecular components into complex machines and systems. Success will require new theoretical understanding of nanoscale pro...

This article is concerned with the evolution of haploid organisms that reproduce asexually. In a seminal piece of work, Eigen and coauthors proposed the quasispecies model in an attempt to understand such an evolutionary process. Their work has impacted antiviral treatment and vaccine design strategies. Yet, predictions of the quasispecies model are at best viewed as a guideline, primarily beca...