A numerical strategy for efficient modeling of the equatorial wave guide

Convection in the tropics is observed to involve a wide-ranging hierarchy of scales from a few kilometers to the planetary scales and also has a profound impact on short-term climate. The mechanisms responsible for this behavior present a major unsolved problem. A promising emerging approach to address these issues is cloud-resolving modeling. Here a family of numerical models is introduced specifically to model the feedback of small-scale deep convection on tropical planetary waves and tropical circulation in a highly efficient manner compatible with the approach through cloud-resolving modeling. Such a procedure is also useful for theoretical purposes. The basic idea in the approach is to use low-order truncation in the meriodonal direction through Gauss–Hermite quadrature projected onto a simple discrete radiation condition. In this fashion, the cloud-resolving modeling of equatorially trapped planetary waves reduces to the solution of a small number of purely zonal two-dimensional wave systems along a few judiciously chosen meriodonal layers that are coupled only by some additional source terms. The approach is analyzed in detail with full mathematical rigor for linearized equatorial primitive equations with source terms.

Spectral karyotyping suggests additional subsets of colorectal cancers characterized by pattern of chromosome rearrangement

The abundant chromosome abnormalities in most carcinomas are probably a reflection of genomic instability present in the tumor, so the pattern and variability of chromosome abnormalities will reflect the mechanism of instability combined with the effects of selection. Chromosome rearrangement was investigated in 17 colorectal carcinoma-derived cell lines. Comparative genomic hybridization showed that the chromosome changes were representative of those found in primary tumors. Spectral karyotyping (SKY) showed that translocations were very varied and mostly unbalanced, with no translocation occurring in more than three lines. At least three karyotype patterns could be distinguished. Some lines had few chromosome abnormalities: they all showed microsatellite instability, the replication error (RER)+ phenotype. Most lines had many chromosome abnormalities: at least seven showed a surprisingly consistent pattern, characterized by multiple unbalanced translocations and intermetaphase variation, with chromosome numbers around triploid, 6–16 structural aberrations, and similarities in gains and losses. Almost all of these were RER−, but one, LS411, was RER+. The line HCA7 showed a novel pattern, suggesting a third kind of genomic instability: multiple reciprocal translocations, with little numerical change or variability. This line was also RER+. The coexistence in one tumor of two kinds of genomic instability is to be expected if the underlying defects are selected for in tumor evolution.