Browsing UMBC Mathematics and Statistics Department by Title
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LongTime Simulations on High Resolution Meshes to Model Calcium Waves in a Heart Cell
(Society for Industrial and Applied Mathematics, 20081013)A model for the flow of calcium on the scale of one heart cell is given by a system of timedependent reactiondiffusion equations coupled by nonlinear reaction terms. Calcium ions enter into the cell at release units ... 
Longtime Simulations with Complex Code Using Multiple Nodes of Intel Xeon Phi Knights Landing
(ScienceDirect, 20180801)Modern partial differential equation (PDE) models across scientific disciplines require sophisticated numerical methods resulting in complex codes as well as large numbers of simulations for analysis like parameter studies ... 
LowOrder Model of Biological Neural Networks
(20201212)A biologically plausible loworder model (LOM) of biological neural networks is a recurrent hierarchical network of dendritic nodes/trees, spiking/nonspiking neurons, unsupervised/ supervised covariance/accumulative learning ... 
Machine Learning with Feature Importance Analysis for Tornado Prediction from Environmental Sounding Data
(UMBC, 20200625)Tornadoes pose a forecast challenge to National Weather Service forecasters because of their quick development and potential for lifethreatening damage. The use of machine learning in severe weather forecasting has ... 
ManifoldOptim: An R Interface to the ROPTLIB Library for Riemannian Manifold Optimization
(Foundation for Open Access Statistics, 20200418)Manifold optimization appears in a wide variety of computational problems in the applied sciences. In recent statistical methodologies such as sufficient dimension reduction and regression envelopes, estimation relies on ... 
A Mathematical Model for Enzyme Clustering in Glucose Metabolism
(Nature, 2017)We have recently demonstrated that the ratelimiting enzymes in human glucose metabolism organize into cytoplasmic clusters to form a multienzyme complex, the glucosome, in at least three different sizes. Quantitative ... 
Maximumlikelihood estimation of the randomclumped multinomial model as a prototype problem for largescale statistical computing
(Taylor and Francis Online, 20120508)Numerical methods are needed to obtain maximumlikelihood estimates (MLEs) in many problems. Computation time can be an issue for some likelihoods even with modern computing power. We consider one such problem where the ... 
A MemoryEfficient Finite Volume Method for AdvectionDiffusionReaction Systems with NonSmooth Sources
(Wiley, 20140620)We present a parallel matrixfree implicit finite volume scheme for the solution of unsteady threedimensional advectiondiffusionreaction equations with smooth and DiracDelta source terms. The scheme is formally second ... 
Merging Orthovoltage XRay Minibeams spare the proximal tissues while producing a solid beam at the target
(Springer Nature Publishing AG., 20190204)Conventional radiation therapy of brain tumors often produces cognitive deficits, particularly in children. We investigated the potential efficacy of merging Orthovoltage Xray Minibeams (OXM). It segments the beam into ... 
The microglia response to electrical overstimulation of the retina imaged under a transparent stimulus electrode
(IOP, 20210108)Objective: We investigated using the morphological response of retinal microglia as indicators of tissue damage from electrical overstimulation by imaging them through an optically transparent stimulus electrode. Approach: ... 
Mineral Dust Detection Using Satellite Data
Mineral dust, defined as aerosol originating from the soil, can have various harmful effects to the environment and human health. The detection of dust, and particularly incoming dust storms, may help prevent some of these ... 
Minimax Lower Bound of kMonotone Estimation in the Supnorm
(IEEE, 20190418)Belonging to the framework of shape constrained estimation, kmonotone estimation refers to the nonparametric estimation of univariate kmonotone functions, e.g., monotone and convex unctions. This paper develops minimax ... 
Modeling and Simulation of Groundwater Flow and Contaminant Transport in a CrossSection of the Delmarva Peninsula
(20110101)Excess nitrogen from agricultural activity on the Delmarva Peninsula contributes to impairment of Chesapeake Bay. Most of the region's nitrogen load is transported to streams by groundwater. Therefore, quantifying dynamics ... 
Modeling Overdispersion in R
(2015)The book Overdispersion Models in SAS by Morel and Neerchal (2012) discusses statistical analysis of categorical and count data which exhibit overdispersion, with a focus on computational procedures using SAS. This document ... 
Modeling the Links Between the Chemical, Electrical and Contractile Calcium Dynamics in a Heart Cell
(2016)Calcium dysregulation is a signi cant cause of fatal cardiac arrythmias, but it is an incompletely understood phenomenon and diffcult to predict. Cardiac calcium levels can be modelled as a system of partial differential ... 
ModelingToolkit: A Composable Graph Transformation System For EquationBased Modeling
Getting good performance out of numerical equation solvers requires that the user has provided stable and efficient functions representing their model. However, users should not be trusted to write good code. In this ... 
Model‐Based Approach To Improve Clinical Outcomes In Neonates With Opioid Withdrawal Syndrome Using Real‐World Data
(Wiley, 20201029)At least 60% of the neonates with opioid withdrawal syndrome (NOWS) require morphine to control withdrawal symptoms. Currently, the morphine dosing strategies are empiric, not optimal and associated with longer hospital ... 
A modified approach to teambased learning in linear algebra courses
(Taylor and Francis Online, 20140529)This paper documents the author's adaptation of teambased learning (TBL), an active learning pedagogy developed by Larry Michaelsen and others, in the linear algebra classroom. The paper discusses the standard components ... 
Multidisciplinary Education on Big Data + HPC + Atmospheric Sciences
(National Science Foundation, 20171101)We present a new initiative to create a training program or graduatelevel course (cybertraining.umbc.edu) in big data applied to atmospheric sciences as application area and using highperformance computing as indispensable ...