University of Houston - Mathematics
Doctor of Philosophy (Ph.D.)
Appplied Mathematics
University of Houston
3.96/4.0
Master's Degree
Mathematics
University of Houston
3.97/4.0
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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