The concept of antipodality relative to a closed convex cone K ⊂ Rd has been explored in detail in a recent work of ours. The antipodality problem consists of finding a pair of unit vectors in K achieving the maximal angle of the cone. Our attention now is focused not just in the maximal angle, but in the angular spectrum of the cone. By definition, the angular spectrum of a cone is the set of ...

RESULTS. In the present paper, a model is provided that describes the ERG contrast gains and ERG thresholds in dichromats and color normal trichromats. For the X-chromosome-linked dichromats, the contrast gains of only one cone type (either the L or the M cones) sufficed to describe the ERG thresholds for all stimulus conditions. Data suggest that the M-cone contrast gains of protanopes are lar...

Purpose To determine whether cone density, spacing, or regularity in eyes with and without diabetes (DM) as assessed by high-resolution adaptive optics scanning laser ophthalmoscopy (AOSLO) correlates with presence of diabetes, diabetic retinopathy (DR) severity, or presence of diabetic macular edema (DME). Methods Participants with type 1 or 2 DM and healthy controls underwent AOSLO imaging ...

Cytoplasmic second messengers, Ca2+ and cAMP, regulate nerve growth cone turning responses induced by many guidance cues, but the causal relationship between these signaling pathways has been unclear. We here report that, for growth cone turning induced by a gradient of myelin-associated glycoprotein (MAG), cAMP acts by modulating MAG-induced Ca2+ signaling. Growth cone repulsion induced by MAG...

We discuss an approach for solving the Bilinear Matrix Inequality (BMI) based on its connections with certain problems defined over matrix cones. These problems are, among others, the cone generalization of the linear programming (LP) and the linear complementarity problem (LCP) (referred to as the Cone-LP and the Cone-LCP, respectively). Specifically, we show that solving a given BMI is equiva...

To assess the influence of selective adaptation of long (L) and middle (M) wavelength sensitive cones with electroretinography (ERG) and psychophysics, a novel adaptation procedure was developed, which comprises a selective and quantifiable change in the state of adaptation in the different cone types. One adaptation condition was used as a reference. In four additional conditions, the M-cones ...

PURPOSE Disruption of widely expressed essential genes in mice often leads to embryonic or neonatal lethality. To circumvent this problem and dissect gene functions in the cone photoreceptors, we elected to generate cone photoreceptor specific cre transgenic mice. METHODS Transgenic mice expressing Cre recombinase directed by the human red/green pigment (HRGP) gene promoter were generated. Ca...

Mutations in the cellular retinaldehyde-binding protein (CRALBP, encoded by RLBP1) can lead to severe cone photoreceptor-mediated vision loss in patients. It is not known how CRALBP supports cone function or how altered CRALBP leads to cone dysfunction. Here, we determined that deletion of Rlbp1 in mice impairs the retinal visual cycle. Mice lacking CRALBP exhibited M-opsin mislocalization, M-c...

Analysis of cone inputs to primate parvocellular ganglion cells suggests that red-green spectral opponency results when connections segregate input from long wavelength (L) or middle wavelength (M) sensitive cones to receptive field centers and surrounds. However, selective circuitry is not an obvious retinal feature. Rather, cone receptive field surrounds and H1 horizontal cells get mixed L an...

Let {h1, h2, . . . } be a set of algebraically independent variables. We ask which vectors are extreme in the cone generated by hihj − hi+1hj−1 (i ≥ j > 0) and hi (i > 0). We call this cone the cone of log concavity. More generally, we ask which vectors are extreme in the cone generated by Schur functions of partitions with k or fewer parts. We give a conjecture characterizing which vectors are...