Browsing UMBC Mathematics and Statistics Department by Title
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Large Deflections of Inextensible Cantilevers: Modeling, Theory, and Simulation
(20191016)A recent large deflection cantilever model is considered. The principal nonlinear effects come through the beam’s inextensibility—local arc length preservation—rather than traditional extensible effects attributed to ... 
Least Sparsity of pNorm Based Optimization Problems with p>1*
(Society for Industrial and Applied Mathematics, 20180927)Motivated by lpoptimization arising from sparse optimization, highdimensional data analytics and statistics, this paper studies sparse properties of a wide range of pnorm based optimization problems with p > 1, including ... 
Lifetime Discrimination Burden, Racial Discrimination, and Subclinical Cerebrovascular Disease among African Americans
(American Physiological Association, 20181126)Explore interactive relations of lifetime discrimination burden and racial discrimination – chronic stressors among African Americans (AA) – and age with magnetic resonance imaging (MRI)assessed white matter lesion volume ... 
A Linearized Viscous, Compressible FlowPlate Interaction with Nondissipative Coupling
We address semigroup wellposedness for a linear, compressible viscous fluid interacting at its boundary with an elastic plate. We derive the model by linearizing the compressible NavierStokes equations about an arbitrary ... 
Linkages of Calcium Induced Calcium Release in a Cardiomyocyte Simulated by a System of Seven Coupled Partial Diﬀerential Equations
Cardiac arrhythmias aﬀect millions of adults in the U.S. each year. This irregularity in the beating of the heart is often caused by dysregulation of calcium in cardiomyocytes, the cardiac muscle cell. Cardiomyocytes ... 
Longtime dynamics of a hingedfree plate driven by a nonconservative force
(20200706)A partially hinged, partially free rectangular plate is considered, with the aim to address the possible unstable end behaviors of a suspension bridge subject to wind. This leads to a nonlinear plate evolution equation ... 
Longtime Simulation of Calcium Induced Calcium Release in a Heart Cell using the Finite Element Method on a Hybrid CPU/GPU Node
(Society for Computer Simulation International (SCS), 20150412)A mathematical model of Calcium Induced Calcium Release in a heart cell has been developed that consists of three coupled nonlinear advectiondi usionreaction equations. A program in C with MPI based on matrixfree ... 
LongTime Simulation of Calcium Waves in a Heart Cell to Study the Effects of Calcium Release Flux Density and of Coefficients in the Pump and Leak Mechanisms on SelfOrganizing Wave Behavior
(2009)Spontaneous calcium sparks can lead to propagation of a selfinitiated calcium wave under certain conditions in a heart cell. A model for diffusion waves of calcium ions in a heart cell is given by a system of coupled, ... 
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 ...