The bi-Hamiltonian structure of certain multi-component integrable systems, generalizations of the dispersionless Toda hierarchy, is studied for systems derived from a rational Lax function. One consequence of having a rational rather than a polynomial Lax functions is that the corresponding bi-Hamiltonian structures are degenerate, i.e. the metric which defines the Hamiltonian structure has va...

Using results on syzygy modules over a multivariate polynomial ring, we are able to construct compactly supported wavelet bi-frames with few generators from almost any pair of compactly supported multivariate refinable functions. In our examples, we focus on wavelet bi-frames whose primal and dual wavelets are both derived from one box spline function. Our wavelet bi-frames have fewer generator...

OBJECTIVE The high-density lipoprotein (HDL) receptor scavenger receptor Class B type I (SR-BI) plays a key role in mediating the final step of reverse cholesterol transport. This study examined the possible regulation of hepatic SR-BI by phosphatidylinositol-3-kinase (PI3K), a well known regulator of endocytosis and membrane protein trafficking. METHODS AND RESULTS SR-BI-dependent HDL select...

This Paper addresses the problem of nonholonomic motion planning for a bi-steerable car. The kinematic speci city of this system is the turning of its rear wheels as a function of the steering angle of the front wheels. The bi-steerable car was shown to be at. The aim of this work is to present its linearizing outputs. The computation of these outputs is the major step that allows us to propose...

Bax inhibitor-1 (BI-1) is a novel anti-apoptotic protein. While the effect of BI-1 on apoptosis has been extensively studied, less is known about how BI-1 is related to oncogenesis and the progression, particularly, the invasion and metastasis of cancer. In this study, we investigated the expression and function of BI-1 in human non-small cell lung cancer (NSCLC). RT-PCR and immunohistochemistr...

Asymmetry of brain dysfunction may disrupt brain network efficiency. We hypothesized that greater left-right white matter hyperintensity volume (WMHV) asymmetry was associated with functional trajectories. Methods: In the Northern Manhattan Study, participants underwent brain MRI with axial T1, T2, and fluid attenuated inversion recovery sequences, with baseline interview and examination. Volum...

Lipids as a class of molecules display a wide diversity in both structure and biological function. A pr imary role of l ipids in cellular function is in the formation of the permeabi l i ty barrier of cells and subcellular organelles in the form of a l ipid bi layer (Fig. 1). Although the major l ipid type defining this bi layer in almost all membranes is g lycerol-based phospholipid, other lip...