Browsing UMBC Mathematics and Statistics Department by Title
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Coupled PDEs with Initial Solution from Data in COMSOL 4
(2013)Many physical applications require the solution of a system of coupled partial differential equations (PDEs). In most cases the analytic PDE solution does not exist for this system and we need to solve the problem numerically ... 
Crosscancer Prediction: A Novel Machine Learning Approach to Discover Molecular Targets for Development of Treatments for Multiple Cancers
(SAGE journals, 20181022)Conventional cancer drug development has long been limited to organ or tissuespecific cancer types. However, it has become increasingly known that specific genetic abnormalities are responsible for the carcinogenesis of ... 
Daily Precipitation Generation using a Hidden Markov Model with Correlated Emissions for the Potomac River Basin
(UMBC, 20200630)A daily precipitation generator based on a hidden Markov model with Gaussian copulas (HMMGC) is constructed using remote sensing data from GPMIMERG for the Potomac river basin on the East Coast of the USA. Daily ... 
Data assimilation for the NavierStokes equations using local observables
(20200816)We develop, analyze, and test an approximate, global data assimilation/synchronization algorithm based on purely local observations for the twodimensional NavierStokes equations on the torus. We prove that, for any error ... 
Data Compression for Optimization of a Molecular Dynamics System: Preserving Basins of Attraction
(Springer, Cham, 20190608)Understanding the evolution of atomistic systems is essential in various fields such as materials science, biology, and chemistry. The gold standard for these calculations is molecular dynamics, which simulates the dynamical ... 
Deep Learning for Classification of Compton Camera Data in the Reconstruction of Proton Beams in Cancer Treatment
(UMBC, 20200612)Realtime imaging has potential to greatly increase the effectiveness of proton beam therapy in cancer treatment. One promising method of realtime imaging is the use of a Compton camera to detect prompt gamma rays, which ... 
Density Estimation using Entropy Maximization for Semicontinuous Data
(20201117)Semicontinuous data comes from a distribution that is a mixture of the point mass at zero and a continuous distribution with support on the positive real line. A clear example is the daily rainfall data. In this paper, ... 
Detecting Glaucoma Using 3D Convolutional Neural Network of Raw SDOCT Optic Nerve Scans
(20191014)Background. Glaucoma is a chronic progressive optic neuropathy with characteristic visual field defects and corresponding structural changes, including nerve fiber layer thinning and optic nerve neuroretinal rim loss. These ... 
Developing the Coupling of the Mechanical to the Electrical and Calcium Systems in a Heart Cell
(2017)As the leading cause of death in the United States, heart disease has become a principal concern in modern society. Cardiac arrhythmias can be caused by a dysregulation of calcium dynamics in cardiomyocytes. Calcium ... 
Development and Assessment of Modules to Integrate Quantitative Skills in Introductory Biology Courses
(The American Society for Cell Biology, 20171013)Redesigning undergraduate biology courses to integrate quantitative reasoning and skill development is critical to prepare students for careers in modern medicine and scientific research. In this paper, we report on the ... 
Dimensionality Reduction Using Sliced Inverse Regression in Modeling Large Climate Data
(2016)Prediction of precipitation using simulations on various climate variables provided by Global Climate Models (GCM) as covariates is often required for regional hydrological assessment studies. We use a sufficient dimension ... 
Distribution of Chemoattractants in a Heterogeneous Tissue and its Impact on Cell Cluster Migration
(2017)Cell migration is the process in living organisms by which the body heals and diseases spread, so comprehension of this mechanism is beneficial to understanding its applications. We studied the cluster cell migration in ... 
DoseResponse Modeling For Continuous Responses When Variance Is Not A Power Of The Mean
(20110101)In the context of modeling doseresponse data for continuous outcomes, a common procedure is to summarize the data based on sample means and sample variances, and fit a suitable model for the means, ?(d) 
Dynamic Portfolio Optimization using Sequential Quadratic Programming
(20110101)In Financial Mathematics, classical Markowitz Portfolio theory provides a strategy for optimizing return on a portfolio by considering only the mean and variance of returns. However, recent theoretical and empirical studies ... 
A dynamically loadbalanced parallel padaptive implicit highorder flux reconstruction method for underresolved turbulence simulation
(20191008)We present a dynamically loadbalanced parallel padaptive implicit highorder flux reconstruction method for underresolved turbulence simulation. The highorder explicit first stage, singly diagonal implicit RungeKutta ... 
Effect of Exam Wrappers on Student Achievement in Multiple, Large STEM Courses
Metacognition, the ability to think about and regulate one’s thinking, is an important factor in effective student learning. One intervention to promote student metacognition is the exam wrapper—a reflection students ... 
Effect of Parity on Boundedness of Orbits in LotkaVolterra Food Chains
(20110101)Hairston, Slobodkin, and Smith (HSS) conjectured that topdown forces act on food chains with three trophic levels, which opposed the previously accepted theory that bottomup forces dictate the dynamics of populations. ... 
Effects of Spatial and Temporal Correlation in General Linear Modeling of fMRI
(20100101)Current functional magnetic resonance imaging (fMRI) analysis utilizes a false discover rate (FDR) based on the assumption of independent voxels. Our fMRI general linear model simulation accurately portrays the expected ... 
Efficient Computation for a ReactionDiffusion System with a Fast Reaction in Two Spatial Dimensions Using COMSOL Multiphysics
(2009)We study a reactiondiffusion system of three chemical species, where two chemicals react with a much faster rate than the other reaction in the model. We are interested in the asymptotic limit as the rate becomes in finite. ... 
Efficient Computation for a ReactionDiffusion System with a Fast Reaction with Continuous and Discontinuous Initial Data Using COMSOL Multiphysics
(2009)In a chemical reactiondiffusion system with three species, the interaction between diffusion and a fast reaction between two species creates a transient, sharp, internal interface. Besides the three species model, we use ...