This is pushing the development of adaptive grid methods that represent the geometry accurately and efficiently. In the second problem, a long filament in a smectic-A phase grows within an isotropic fluid. The splay deformation of the material gives this filament an elastic response. The macroscopic model describes the dynamics of a growing, elastic filament immersed in a Stokesian fluid. The model marries filament elasticity and tensile forces with a numerically tractable nonlocal slender-body theory.
Analysis shows that growth of the filament, despite fluid drag, produces a buckling instability.
As various genome projects are shifting to the post-sequencing phase, it becomes a big challenge to analyze the sequence data and extract biological information using computational tools. In the past, computational genomics has mainly focused on finding new genes and mapping out their biological functions. With the rapid accumulation of experimental data on genome-wide gene activities, it is now possible to understand how genes are regulated on a genomic scale. A major mechanism for gene regulation is to control the level of transcription, which is achieved by regulatory proteins that bind to short DNA sequences - the regulatory elements. We have developed a new approach to identifying regulatory elements in genomes.