Browsing UMBC Mathematics and Statistics Department by Title
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A High‐Dimensional Classification Rule Using Sample Covariance Matrix Equipped With Adjusted Estimated Eigenvalues
(Wiley Online Library, 20210203)High‐dimensional classification have had challenges mainly due to the singularity issue of the sample covariance matrix. In this work, we propose a different approach to get a more reliable sample covariance matrix by ... 
A Hölder type inequality and an interpolation theorem in Euclidean Jordan algebras
(20180914)In a Euclidean Jordan algebra V of rank n which carries the trace inner product, to each element x we associate the eigenvalue vector λ(x) whose components are the eigenvalues of x written in the decreasing order. For any ... 
Hybrid MPI+OpenMP parallelization of image reconstruction in proton beam therapy on multicore and manycore processors
The advantage of proton beam therapy is that the lethal dose of radiation is delivered by a sharp increase toward the end of the beam range, known as the Bragg peak (BP), with no dose delivered beyond. By using these ... 
Identifying Nonlinear Correlations in High Dimensional Data with Application to Protein Molecular Dynamics Simulations
(2013)Complex biomolecules such as proteins can respond to changes in their environment through a process called allostery, which plays an important role in regulating the function of these biomolecules. Allostery occurs when ... 
IDL: A Possible Alternative to Matlab
(2012)Created by Exelis Visual Information Solutions, IDL (Interactive Data Language) is a commercial package used for data analysis. We compared the usability and efficiency of IDL to that of Matlab to determine if IDL is a ... 
Impact of Calcium Store Overload and Electrical Dynamics on Cardiac Myocytes
(2015)The heart's main function of pumping blood to the body is a complicated process separated into two major steps. Initially, the heart is relaxed and blood flows freely into the ventricles and atria from the veins, then the ... 
An Implementation of Binomial Method of Option Pricing using Parallel Computing
The Binomial method of option pricing is based on iterating over discounted option payoffs in a recursive fashion to calculate the present value of an option. Implementing the Binomial method to exploit the resources of a ... 
Improvements to the Deep Learning Classification of Compton Camera Based Prompt Gamma Imaging for Proton Radiotherapy
(202005)Realtime imaging has potential to greatly increase the effectiveness of proton beam therapy for cancer treatment. One promising method of realtime imaging is the use of a Compton camera to detect prompt gamma rays, which ... 
Improving the Computational Effciency of Downscaling GCM data for Use in SWAT
(2014)This project creates software tools to streamline the computational procedures to generate highresolution weather parameters from low resolution Global Climate Models (GCM) to be input into the Soil and Water Assessment ... 
Incorporating age and delay into models for biophysical systems
In many biological systems, chemical reactions or changes in a physical state are assumed to occur instantaneously. For describing the dynamics of those systems, Markov models that require exponentially distributed interevent ... 
Individual and communitylevel risk for COVID19 mortality in the United States
(Nature, 20201211)Reducing COVID19 burden for populations will require equitable and effective riskbased allocations of scarce preventive resources, including vaccinations. To aid in this effort, we developed a general population risk ... 
Inexact Methods for Symmetric Stochastic Eigenvalue Problems
(20181102)We study two inexact methods for solutions of random eigenvalue problems in the context of spectral stochastic finite elements. In particular, given a parameterdependent, symmetric matrix operator, the methods solve for ... 
The Influence of Stochastic Parameters on Calcium Waves in a Heart Cell
(2013)Calcium is a critical component in many cellular functions. It serves many important functions such as signal transduction, contraction of muscles, enzyme function, and maintaining potential difference across excitable ... 
Informational Requirements for Transcriptional Regulation
(20140501)Transcription factors (TFs) regulate transcription by binding to specific sites in promoter regions. Information theory provides a useful mathematical framework to analyze the binding motifs associated with TFs but imposes ... 
Informational Requirements for Transcriptional Regulation
(Mary Ann Liebert, 20140501)Transcription factors (TFs) regulate transcription by binding to specific sites in promoter regions. Information theory provides a useful mathematical framework to analyze the binding motifs associated with TFs but imposes ... 
Intel Concurrent Collections as a Method for Parallel Programming
(2011)Computer hardware has become parallel in order to run faster and more efficient. One of the current standard parallel coding libraries is MPI (Message Passing Interface). The Intel Corporation is developing a new parallel ... 
The Interaction of Calcium and Metabolic Oscillations in Pancreatic βcells
(Illinois State University, 2017)Diabetes is a disease characterized by an excessive level of glucose in the bloodstream, which may be a result of improper insulin secretion. Insulin is secreted in a bursting behavior of pancreatic β cells in islets, ... 
The Interaction of Calcium and Metabolic Oscillations in Pancreatic βcells
(2016)Diabetes is a disease characterized by an excessive level of glucose in the bloodstream, which may be a result of improper insulin secretion. Insulin is secreted in a bursting behavior of pancreatic βcells in the islets ... 
Interval Estimation of the Overlapping Coefficient of Two Exponential Distributions
(Atlantis Press SARL, 20190422)For the overlapping coefficient between two oneparameter or twoparameter exponential distributions, confidence intervals are developed using generalized pivotal quantities. The accuracy of the proposed solutions are ...