Bubbling and bistability in two parameter discrete systems

We present a graphical analysis of the mechanisms underlying the occurrences of bubbling sequences and bistability regions in the bifurcation scenario of a special class of one dimensional two parameter maps. The main result of the analysis is that whether it is bubbling or bistability is decided by the sign of the third derivative at the inflection point of the map function.Comment: LaTeX v2.09, 14 pages with 4 PNG figure

Neurodevelopmental disorders in children aged 2-9 years: Population-based burden estimates across five regions in India.

BACKGROUND: Neurodevelopmental disorders (NDDs) compromise the development and attainment of full social and economic potential at individual, family, community, and country levels. Paucity of data on NDDs slows down policy and programmatic action in most developing countries despite perceived high burden. METHODS AND FINDINGS: We assessed 3,964 children (with almost equal number of boys and girls distributed in 2-<6 and 6-9 year age categories) identified from five geographically diverse populations in India using cluster sampling technique (probability proportionate to population size). These were from the North-Central, i.e., Palwal (N = 998; all rural, 16.4% non-Hindu, 25.3% from scheduled caste/tribe [SC-ST] [these are considered underserved communities who are eligible for affirmative action]); North, i.e., Kangra (N = 997; 91.6% rural, 3.7% non-Hindu, 25.3% SC-ST); East, i.e., Dhenkanal (N = 981; 89.8% rural, 1.2% non-Hindu, 38.0% SC-ST); South, i.e., Hyderabad (N = 495; all urban, 25.7% non-Hindu, 27.3% SC-ST) and West, i.e., North Goa (N = 493; 68.0% rural, 11.4% non-Hindu, 18.5% SC-ST). All children were assessed for vision impairment (VI), epilepsy (Epi), neuromotor impairments including cerebral palsy (NMI-CP), hearing impairment (HI), speech and language disorders, autism spectrum disorders (ASDs), and intellectual disability (ID). Furthermore, 6-9-year-old children were also assessed for attention deficit hyperactivity disorder (ADHD) and learning disorders (LDs). We standardized sample characteristics as per Census of India 2011 to arrive at district level and all-sites-pooled estimates. Site-specific prevalence of any of seven NDDs in 2-<6 year olds ranged from 2.9% (95% CI 1.6-5.5) to 18.7% (95% CI 14.7-23.6), and for any of nine NDDs in the 6-9-year-old children, from 6.5% (95% CI 4.6-9.1) to 18.5% (95% CI 15.3-22.3). Two or more NDDs were present in 0.4% (95% CI 0.1-1.7) to 4.3% (95% CI 2.2-8.2) in the younger age category and 0.7% (95% CI 0.2-2.0) to 5.3% (95% CI 3.3-8.2) in the older age category. All-site-pooled estimates for NDDs were 9.2% (95% CI 7.5-11.2) and 13.6% (95% CI 11.3-16.2) in children of 2-<6 and 6-9 year age categories, respectively, without significant difference according to gender, rural/urban residence, or religion; almost one-fifth of these children had more than one NDD. The pooled estimates for prevalence increased by up to three percentage points when these were adjusted for national rates of stunting or low birth weight (LBW). HI, ID, speech and language disorders, Epi, and LDs were the common NDDs across sites. Upon risk modelling, noninstitutional delivery, history of perinatal asphyxia, neonatal illness, postnatal neurological/brain infections, stunting, LBW/prematurity, and older age category (6-9 year) were significantly associated with NDDs. The study sample was underrepresentative of stunting and LBW and had a 15.6% refusal. These factors could be contributing to underestimation of the true NDD burden in our population. CONCLUSIONS: The study identifies NDDs in children aged 2-9 years as a significant public health burden for India. HI was higher than and ASD prevalence comparable to the published global literature. Most risk factors of NDDs were modifiable and amenable to public health interventions

Wiener Tauberian theorems for vector-valued functions

Different versions of Wiener's Tauberian theorem are discussed for the generalized group algebra L1(G,A) (of integrable functions on a locally compact abelian group G taking values in a commutative semisimple regular Banach algebra A) using A-valued Fourier transforms. A weak form of Wiener's Tauberian property is introduced and it is proved that L1(G,A) is weakly Tauberian if and only if A is. The vector analogue of Wiener's L2-span of translates theorem is examined

Stochastic games and related concepts

This book discusses stochastic game theory and related concepts. Topics focused upon in the book include matrix games, finite, infinite, and undiscounted stochastic games, n-player cooperative games, minimax theorem, and more. In addition to important definitions and theorems, the book provides readers with a range of problem-solving techniques and exercises. This book is of value to graduate students and readers of probability and statistics alike

Generation of recombinant antibodies to rat GABAA receptor subunits by affinity selection on synthetic peptides.

The abundance and physiological importance of GABAA receptors in the central nervous system make this neurotransmitter receptor an attractive target for localizing diagnostic and therapeutic biomolecules. GABAA receptors are expressed within the retina and mediate synaptic signaling at multiple stages of the visual process. To generate monoclonal affinity reagents that can specifically recognize GABAA receptor subunits, we screened two bacteriophage M13 libraries, which displayed human scFvs, by affinity selection with synthetic peptides predicted to correspond to extracellular regions of the rat α1 and β2 GABAA subunits. We isolated three anti-β2 and one anti-α1 subunit specific scFvs. Fluorescence polarization measurements revealed all four scFvs to have low micromolar affinities with their cognate peptide targets. The scFvs were capable of detecting fully folded GABAA receptors heterologously expressed by Xenopus laevis oocytes, while preserving ligand-gated channel activity. Moreover, A10, the anti-α1 subunit-specific scFv, was capable of detecting native GABAA receptors in the mouse retina, as observed by immunofluorescence staining. In order to improve their apparent affinity via avidity, we dimerized the A10 scFv by fusing it to the Fc portion of the IgG. The resulting scFv-Fc construct had a Kd of ∼26 nM, which corresponds to an approximately 135-fold improvement in binding, and a lower detection limit in dot blots, compared to the monomeric scFv. These results strongly support the use of peptides as targets for generating affinity reagents to membrane proteins and encourage investigation of molecular conjugates that use scFvs as anchoring components to localize reagents of interest at GABAA receptors of retina and other neural tissues, for studies of receptor activation and subunit structure

Association Between Prolonged Seizures and Malignant Middle Cerebral Artery Infarction in Children With Acute Ischemic Stroke.

BACKGROUND Malignant middle cerebral artery infarct syndrome is a potentially fatal complication of stroke that is poorly understood in children. We studied the frequency, associated characteristics, and outcomes of this condition in children. METHODS Children, aged two months to 18 years with acute middle cerebral artery infarct diagnosed at our center between January 2005 and December 2012 were studied. Associations with malignant middle cerebral artery infarct syndrome were sought, including age, seizures, neurological deficit severity (Pediatric National Institute of Health Stroke Severity Score), stroke etiology, fever, blood pressure, blood glucose, infarct location, infarct volume (modified pediatric Alberta Stroke Program Early Computed Tomography Score), and arterial occlusion. Death and neurological outcomes were determined. RESULTS Among 66 children with middle cerebral artery stroke, 12 (18%) developed malignant middle cerebral artery infarct syndrome, fatal in three. Prolonged seizures during the first 24 hours (odds ratio, 25.51; 95% confidence interval, 3.10 to 334.81; P = 0.005) and a higher Pediatric National Institute of Health Stroke Severity Score (odds ratio, 1.22; 95% confidence interval, 1.08 to 1.45; P = 0.006) were independently associated with malignant middle cerebral artery infarct syndrome. All children aged greater than two years with a Pediatric National Institute of Health Stroke Severity Score ≥8 and initial seizures ≥5 minutes duration developed malignant middle cerebral artery infarct syndrome (100%). CONCLUSIONS Malignant middle cerebral artery infarct syndrome affects nearly one in five children with acute middle cerebral artery stroke. Children with higher Pediatric National Institute of Health Stroke Severity Scores and prolonged initial seizures are at greatly increased risk for malignant middle cerebral artery infarct syndrome. Children with middle cerebral artery infarcts warrant intensive neuroprotective management and close monitoring to enable early referral for hemicraniectomy surgery

Binding affinities of anti-GABA_A receptor subunit scFvs.

<p>Dissociation constants (µM) as measured by BIND® Reader or FP are shown. First four rows show dissociation constants of scFvs and the last one that of the scFv-Fc reagent. SD, standard deviation of three (BIND) or two (FP) independent trials (except for A10-Fc; 3 independent trials); n.d., not determined.</p

Binding of scFvs to native GABA receptors in mouse retinal sections.

<p>Immunohistochemistry of cryosections of mouse retina incubated with 600-α1 A10 scFv, (A and B), 300 nM biotinylated ZF130H1, negative control scFv (D) or 47 nM of anti-GABA_A positive control antibody (C). Streptavidin (SA)-Cy5 or anti-rabbit IgG-Cy5 was used as the secondary detection reagent. Panels A, C and D are images obtained under fluorescent light (Cy5 filter), while panel B shows the image acquired under bright light. Representative images from three independent trials are shown. Scale bar depicts 80 µm. Legend: GCL; Ganglion cell layer, INL; Inner nuclear layer, IPL; inner plexiform layer, ONL; outer nuclear layer, OPL; outer plexiform layer.</p