12,183 research outputs found
The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation
A straightforward model for deposition and evaporation on discrete cells of a
finite array of any dimension leads to a matrix equation involving a
Sylvester-Kac type matrix. The eigenvalues and eigenvectors of the general
matrix are determined for an arbitrary number of cells. A variety of models to
which this solution may be applied are discussed.Comment: 7 pages, no figure
Giant FAZ10 is required for flagellum attachment zone stabilization and furrow positioning in Trypanosoma brucei
The flagellum and flagellum attachment zone (FAZ) are important
cytoskeletal structures in trypanosomatids, being required for motility,
cell division and cell morphogenesis. Trypanosomatid cytoskeletons
contain abundant high molecular mass proteins (HMMPs), but many of
their biological functions are still unclear. Here, we report the
characterization of the giant FAZ protein, FAZ10, in Trypanosoma
brucei, which, using immunoelectron microscopy, we show localizes to
the intermembrane staples in the FAZ intracellular domain. Our data
show that FAZ10 is a giant cytoskeletal protein essential for normal
growth and morphology in both procyclic and bloodstream parasite life
cycle stages, with its depletion leading to defects in cell morphogenesis,
flagellum attachment, and kinetoplast and nucleus positioning. We show
that the flagellum attachment defects are probably brought about by
reduced tethering of the proximal domain of the paraflagellar rod to the
FAZ filament. Further, FAZ10 depletion also reduces abundance of FAZ
flagellum domain protein, ClpGM6. Moreover, ablation of FAZ10
impaired the timing and placement of the cleavage furrow during
cytokinesis, resulting in premature or asymmetrical cell division
Explicit inverses of some tridiagonal matrices
We give explicit inverses of tridiagonal 2-Toeplitz and 3-Toeplitz matrices which generalize some well-known results concerning the inverse of a tridiagonal Toeplitz matrix.http://www.sciencedirect.com/science/article/B6V0R-42KDHCJ-2/1/d6207c3bf9c66184210a9296f72fe1e
Explicit inverses of some tridiagonal matrices
We give explicit inverses of tridiagonal 2-Toeplitz and 3-Toeplitz matrices which generalize some well-known results concerning the inverse of a tridiagonal Toeplitz matrix.http://www.sciencedirect.com/science/article/B6V0R-42KDHCJ-2/1/d6207c3bf9c66184210a9296f72fe1e
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