Department of Mathematics: Recent submissions
Now showing items 41-60 of 570
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ASSESSING THE IMPACT OF VACCINATION AND BEHAVIOR CHANGE ON OUTBREAKS OF EMERGING RESPIRATORY DISEASES
(2021-05-03)The purpose of this dissertation is to use mathematical models to evaluate the impact of characteristics of respiratory diseases like influenza and COVID-19 either alone or co-circulating and how might influenza vaccine ... -
Cognitive and behavioral deficits arising from neurodegeneration and traumatic brain injury: a model for the underlying role of focal axonal swellings in neuronal networks with plasticity
(Open Access Text, 2016-03-28)**Please note that the full text is embargoed** ABSTRACT: Neurodegenerative diseases and traumatic brain injury, whose hallmark features are the presence of focal axonal swellings (FAS), are leading causes of cognitive ... -
Functionality and Robustness of Injured Connectomic Dynamics in C. elegans: Linking Behavioral Deficits to Neural Circuit Damage
(PLOS, 2017-01-05)**Please note that the full text is embargoed** ABSTRACT: Using a model for the dynamics of the full somatic nervous system of the nematode C. elegans, we address how biological network architectures and their functionality ... -
Preventing Neurodegenerative Memory Loss in Hopfield Neuronal Networks Using Cerebral Organoids or External Microelectronics
(Hindawi, 2017-09-05)**Please note that the full text is embargoed** ABSTRACT: Developing technologies have made significant progress towards linking the brain with brain-machine interfaces (BMIs) which have the potential to aid damaged brains ... -
Estimating Memory Deterioration Rates Following Neurodegeneration and Traumatic Brain Injuries in a Hopfield Network Model
(Frontiers Media, 2017-11-09)**Please note that the full text is embargoed** ABSTRACT: Neurodegenerative diseases and traumatic brain injuries (TBI) are among the main causes of cognitive dysfunction in humans. At a neuronal network level, they both ... -
A method for inferring regional origins of neurodegeneration
(Oxford University Press, 2018-02-02)**Please note that the full text is embargoed** ABSTRACT: Alzheimer’s disease, the most common form of dementia, is characterized by the emergence and spread of senile plaques and neurofibrillary tangles, causing widespread ... -
Forecasting dengue fever in Brazil: An assessment of climate conditions
(PLOS, 2019-08-08)**Please note that the full text is embargoed** ABSTRACT: Local climate conditions play a major role in the biology of the Aedes aegypti mosquito, the main vector responsible for transmitting dengue, zika, chikungunya and ... -
Dynamical Role of Pivotal Brain Regions in Parkinson Symptomatology Uncovered with Deep Learning
(MDPI, 2020-01-30)**Please note that the full text is embargoed** ABSTRACT: The release of a broad, longitudinal anatomical dataset by the Parkinson’s Progression Markers Initiative promoted a surge of machine-learning studies aimed at ... -
Origins of atrophy in Parkinson linked to early onset and local transcription patterns
(Oxford University Press, 2020-06-11)**Please note that the full text is embargoed** ABSTRACT: There is enormous clinical value in inferring the brain regions initially atrophied in Parkinson disease for individual patients and understanding its relationship ... -
Network mediation of pathology pattern in sporadic Creutzfeldt–Jakob disease
(Oxford University Press, 2020-05-15)**Please note that the full text is embargoed** ABSTRACT: Sporadic Creutzfeldt–Jakob disease is a rare fatal rapidly progressive dementia caused by the accumulation and spread of pathologically misfolded prions. Evidence ... -
Mathematical Modeling of a Network of Neurons Regarding Glucose Transport Deficiency Induced Epileptic Seizures
(2019-11-21)Epilepsy is a complex phenomena of a system of neurons simultaneously firing that are highly intensive and synchronized. Seizures are a common and well known physical feature for all types of epileptic disorders [8]. ... -
STOCHASTIC RISK MEASURES FOR THE LUNDBERG MODEL WITH REINSURANCE AND INVESTMENT
(2020-11-24)Risk measures emerge in fields such as economics, insurance, finance and are concerned with a stochastic representation of uncertainties stemming from the unpredictability of the real world events. In essence, risk analysis ... -
OPTIMAL BANDWIDTH SELECTION FOR DECONVOLUTED KERNEL DENSITY ESTIMATION USING BOOTSTRAP METHOD
(2020-08-28)To estimate an unknown density when observed measurements are from the convolution model contaminated by additive measurement errors, Stefanski and Carroll (1990) proposed using Fourier inversion on the product of Fourier ... -
OPTIMIZING L1 LOSS REGULARIZER AND ITS APPLICATION TO EEG INVERSE PROBLEM
(2020-07-21)Sparse reconstruction occurs frequently in science and engineering and real-world applications, including statistics, finance, imaging, biological system, compressed sensing, and, today more than ever, machine learning and ... -
Mathematical Modeling of Scavengers and Zebras on the African Savanna with Disease Dynamics
(2020-09-01)The purpose of this dissertation is to use mathematical models to see how anthrax in the zebra population in Etosha National Park (ENP) interacts with scavenger populations and disease dynamics. First, we study if scavengers ... -
New Development of Grid Generation and Image Analysis
(2020-08-05)Image segmentation and registration are indispensable tools for the aid in medical diagnoses by experts. The current gold-standard for image segmentation is manual labeling of pixels by experts which is cumbersome and ... -
INVERSE PROBLEMS AND FORWARD PROPAGATION OF OPTICAL FLOW
(2020-08-24)Optical flow is a concept originally introduced in computer vision that quantifies, and aids in the presentation of, motion (flow field) between two or more images. In essence, it is a solution of an inverse problem ... -
Prediction of Remaining Lifetime Distribution from Functional Trajectories Based On Censored Observations
(2019-08-13)The goal in functional data studies on failure time or on death time of the objects is to find a relationship between age-at-death (failure time) and current values of a functional predictors. In this study, a novel technique ... -
Impact of domestic animals on prevalence of vector-borne diseases in humans
(2020-06-05)Vector-borne infectious diseases are one of the leading problems for public health worldwide, particularly in underdeveloped and developing countries. These diseases infect humans through the bite of infected vectors. The ... -
BASES OF INFINITE-DIMENSIONAL REPRESENTATIONS OF ORTHOSYMPLECTIC LIE SUPERALGEBRAS
(2020-06-08)We provide explicit bases of representations of the Lie superalgebra osp(1|2n) obtained by taking tensor products of infinite-dimensional representation and the standard representation. This infinite-dimensional representation ...