Pankaj Singh

 PankajK. Singh

Pankaj K. Singh

  • Courses6
  • Reviews15

Biography

University of Houston - Mathematics


Resume

  • 2008

    Doctor of Philosophy (Ph.D.)

    Appplied Mathematics

    University of Houston

    3.96/4.0

  • 2007

    Master's Degree

    Mathematics

    University of Houston

    3.97/4.0

  • 2004

    Master’s Degree

    Mathematics

    Delhi University

  • UH Math High School Contest

    Volunteer

    FIRST

    Medical Imaging

    Mathematical Modeling

    R

    Research

    Signal Processing

    Data Analysis

    Statistics

    Data Science

    Applied Mathematics

    Deep Learning

    Machine Learning

    Python

    Image Analysis

    Numerical Analysis

    Matlab

    LaTeX

    Mathematica

    C++

    Algorithms

    Image Processing

    Genetic deletion of fibroblast growth factor 14 recapitulates phenotypic alterations underlying cognitive impairment associated with schizophrenia

    +11 more

    Fernanda Laezza

    Demetrio Labate

    Cognitive processing is highly dependent on the functional integrity of gamma-amino-butyric acid (GABA) interneurons in the brain. These cells regulate excitability and synaptic plasticity of principal neurons balancing the excitatory/inhibitory tone of cortical networks. Reduced function of parvalbumin (PV) interneurons and disruption of GABAergic synapses in the cortical circuitry result in desynchronized network activity associated with cognitive impairment across many psychiatric disorders

    including schizophrenia. However

    the mechanisms underlying these complex phenotypes are still poorly understood. Here we show that in animal models

    genetic deletion of fibroblast growth factor 14 (Fgf14)

    a regulator of neuronal excitability and synaptic transmission

    leads to loss of PV interneurons in the CA1 hippocampal region

    a critical area for cognitive function. Strikingly

    this cellular phenotype associates with decreased expression of glutamic acid decarboxylase 67 (GAD67) and vesicular GABA transporter (VGAT) and also coincides with disrupted CA1 inhibitory circuitry

    reduced in vivo gamma frequency oscillations and impaired working memory. Bioinformatics analysis of schizophrenia transcriptomics revealed functional co-clustering of FGF14 and genes enriched within the GABAergic pathway along with correlatively decreased expression of FGF14

    PVALB

    GAD67 and VGAT in the disease context. These results indicate that Fgf14−/− mice recapitulate salient molecular

    cellular

    functional and behavioral features associated with human cognitive impairment

    and FGF14 loss of function might be associated with the biology of complex brain disorders such as schizophrenia.

    Genetic deletion of fibroblast growth factor 14 recapitulates phenotypic alterations underlying cognitive impairment associated with schizophrenia

    Demetrio Labate

    Manos Papadakis

    Fernanda Laezza

    Pooran Negi

    The spatial organization of neurites

    the thin processes (i.e.

    dendrites and axons) that stem from a neuron’s soma

    conveys structural information required for proper brain function. The alignment

    direction and overall geometry of neurites in the brain are subject to continuous remodeling in response to healthy and noxious stimuli. In the developing brain

    during neurogenesis or in neuroregeneration

    these structural changes are indicators of the ability of neurons to establish axon-to-dendrite connections that can ultimately develop into functional synapses. Enabling a proper quantification of this structural remodeling would facilitate the identification of new phenotypic criteria to classify developmental stages and further our understanding of brain function. However

    adequate algorithms to accurately and reliably quantify neurite orientation and alignment are still lacking. To fill this gap

    we introduce a novel algorithm that relies on multiscale directional filters designed to measure local neurites orientation over multiple scales. This innovative approach allows us to discriminate the physical orientation of neurites from finer scale phenomena associated with local irregularities and noise. Building on this multiscale framework

    we also introduce a notion of alignment score that we apply to quantify the degree of spatial organization of neurites in tissue and cultured neurons. Numerical codes were implemented in Python and released open source and freely available to the scientific community.

    Multiscale Analysis of Neurite Orientation and Spatial Organization in Neuronal Images

    Bernhard Bodmann

    This paper investigates the performance of frames for the linear

    redundant encoding of vectors when consecutive frame coefficients are lost due to the occurrence of random burst errors. We assume that the distribution of bursts is invariant under cyclic shifts and that the burst-length statistics are known. In analogy with rate-distortion theory

    we wish to find frames of a given size

    which minimize the mean-square reconstruction error for the encoding of vectors in a complex finite-dimensional Hilbert space. We obtain an upper bound for the mean-square reconstruction error for a given Parseval frame and in the case of cyclic Parseval frames

    we find a family of frames which minimizes this upper bound. Under certain conditions

    these minimizers are identical to complex Bose-Chaudhuri-Hocquenghem codes discussed in the literature. The accuracy of our upper bounds for the mean-square error is substantiated by complementary lower bounds. All estimates are based on convexity arguments and a discrete rearrangement inequality.

    Burst erasures and the mean square error for cyclic Parseval frames

    Bernhard Bodmann

    The objective of this paper is to study the performance of fusion frames for packet encodings in the presence of erasures. These frames encode a vector in a Hilbert space in terms of its components in subspaces

    which can be identified with packets of linear coefficients. We evaluate the fusion frame performance under some statistical assumption on the vector to be transmitted

    when part of the packets is transmitted perfectly and another part is lost in an adversarial

    deterministic manner. The performance is measured by the mean-squared Euclidean norm of the reconstruction error when averaged over the transmission of all unit vectors. Our main result is that a random selection of fusion frames performs nearly as well as previously known optimal bounds for the error

    characterized by optimal packings of subspaces

    which are known not to exist in all dimensions.

    Random fusion frames for loss-insensitive packet encoding

    Despite the significant advances in the development of automated image analysis algorithms for the detection and extraction of neuronal structures

    current software tools still have numerous limitations when it comes to the detection and analysis of dendritic spines. The problem is especially challenging in in vivo imaging

    where the difficulty of extracting morphometric properties of spines is compounded by lower image resolution and contrast levels native to two-photon laser microscopy. To address this challenge

    we introduce a new computational framework for the automated detection and quantitative analysis of dendritic spines in vivo multi-photon imaging. This framework includes: (i) a novel preprocessing algorithm enhancing spines in a way that they are included in the binarized volume produced during the segmentation of foreground from background; (ii) the mathematical foundation of this algorithm

    and (iii) an algorithm for the detection of spine locations in reference to centerline trace and separating them from the branches to whom spines are attached to. This framework enables the computation of a wide range of geometric features such as spine length

    spatial distribution and spine volume in a high-throughput fashion. We illustrate our approach for the automated extraction of dendritic spine features in time-series multi-photon images of layer 5 cortical excitatory neurons from the mouse visual cortex.

    Automated 3-D Detection of Dendritic Spines from In Vivo Two-Photon Image Stacks

    Pankaj

    Singh

    Texas A&M Health Science Center

    University of Houston

    MD Anderson Cancer Center

    Houston

    Texas Area

    Associate Research Scientist

    Texas A&M Health Science Center

    Graduate Research Assistant

    Houston

    Texas Area

    University of Houston

    Postdoctoral Fellow

    Houston

    Texas Area

    University of Houston

    Houston

    Texas Area

    Performing image analysis pertaining to cellular images using Python

    R

    ImageJ and Matlab; developing and applying computational procedures to interpret image derived measurements like cell size

    count

    etc. to study problems related to melanoma cancer

    Research Scientist

    MD Anderson Cancer Center

    Secretary

    University of Houston SIAM Student Chapter

    University of Houston

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3325

3.3(3)

MATH 3321

2.8(6)

MATH 3331

3.8(2)

MATH 3338

3.8(2)