Physical Sciences and Mathematics Commons^™

The Structure And Control Of Chaos In Theory And Application, Grayson P. Mcdowell

Student Scholarship

Chaos theory is the study of systems that evolve in highly irregular ways due to sensitivity to initial conditions. These include but are not limited to certain physical, biological, chemical, and economic systems. In Section I, we offer a protocol that exposes the structure of chaotic trajectories in the logistic map model, a toy model of chaos, and we offer a method for stabilizing chaotic trajectories. Section I finishes with a discussion of potential pathways forward with these methods. In Section II, we look at a concrete chaotic system: the human heart. One hundred nineteen (N=119) students participated in a …

H1-Conforming Finite Elements On Nonstandard Meshes, Samuel Edward Reynolds

Dissertations and Theses

We present a finite element method for linear elliptic partial differential equations on bounded planar domains that are meshed with cells that are permitted to be curvilinear and multiply connected. We employ Poisson spaces, as used in virtual element methods, consisting of globally continuous functions that locally satisfy a Poisson problem with polynomial data. This dissertation presents four peer-reviewed articles concerning both the theory and computation of using such spaces in the context of finite elements. In the first paper, we propose a Dirichlet-to-Neumann map for harmonic functions by way of computing the trace of a harmonic conjugate by numerically …

High-Dimensional Data Analysis Using Parameter Free Algorithm Data Point Positioning Analysis, S. M. F. D. Syed Mustapha

All Works

Clustering is an effective statistical data analysis technique; it has several applications, including data mining, pattern recognition, image analysis, bioinformatics, and machine learning. Clustering helps to partition data into groups of objects with distinct characteristics. Most of the methods for clustering use manually selected parameters to find the clusters from the dataset. Consequently, it can be very challenging and time-consuming to extract the optimal parameters for clustering a dataset. Moreover, some clustering methods are inadequate for locating clusters in high-dimensional data. To address these concerns systematically, this paper introduces a novel selection-free clustering technique named data point positioning analysis (DPPA). …

Decay Spectroscopy Of 134sb Using X-Array And Saturn, Graeme E. Morgan

LSU Doctoral Dissertations

The ground-state decay of ¹³⁴Sb is reported by the current evaluated nuclear data to be dominated by a 0^-→0⁺ first-forbidden Gamow-Teller transition to the ground state of ¹³⁴Te. In 2013, a recoil-ion time-of-flight (RI-TOF) spectroscopy measurement of ¹³⁴Sb with the Beta-decay Paul Trap (BPT) indicated that the ground-state feeding of ¹³⁴Te is weaker than reported. Simulation work of ¹³⁴Sb ground-state decays replicated the RI-TOF results with the addition of a theorised 5-MeV state that was fed with ~17% of the total β-decay strength. To search for higher energy states and transitions that …

Perovskite Materials For Optoelectronics Application: Solar Cells And Photodetectors, Abdul Kareem Kalathil Soopy

Thesis/ Dissertation Defenses

Perovskite materials have emerged as promising candidates for optoelectronic applications, particularly in solar cells and photodetectors, due to their remarkable properties such as high carrier mobility, tunable bandgap, and low-cost fabrication. This thesis explores two novel approaches, namely monovalent doping and bulk as well as surface passivation, to enhance the performance and stability of perovskite-based devices. The primary goal of this research is to enhance the properties of perovskite materials to improve their optoelectronic performance, aiming to broaden their use in solar cells and photodetector devices. Specifically, this study seeks to evaluate the effectiveness of Cu doping and Zinc porphyrin …

Optics Design And Fabrication For A Lung Interferometry-Radiography System, Rachael Lyn Blair

LSU Master's Theses

Purpose: High prevalence of lung diseases leads to many people worldwide needing spirometry and imaging testing. The typical imaging done uses chest radiography and/or low-dose CT. Lung tissue is difficult to visualize, making them substandard for monitoring lung disease progression. An improvement on these systems is x-ray interferometry which produces additional images that provide better visualization of changes in the lung tissue. The set-up of x-ray interferometry builds upon other imaging systems in that it includes diffraction gratings.

Materials: This thesis focused on implementing the fabrication processes to create diffraction gratings for a lung imager prototype that is currently under …

Modeling Interactions Between Platelet-Like Particles And Fibrin Matrix During Polymerization And Ultrasound Stimulation In Wound Healing Applications, Julia Sanger, Ashley C. Brown, Marie Muller, Mansoor A. Haider

Biology and Medicine Through Mathematics Conference

No abstract provided.

Graphing The Curve: A Mathematical Expedition Into Social Distancing's Role In The South African Covid-19 Narrative, Chidozie Williams Chukwu

Biology and Medicine Through Mathematics Conference

No abstract provided.

Sperm-Egg Interaction For Fertilization Success, Prajakta P. Bedekar

Biology and Medicine Through Mathematics Conference

No abstract provided.

An Algorithm Of Aesthetics: The Mathematical Beauty Of Type-B Turing Pattern Development In Monkeyflowers, Clara A. Rinker, Emily S.G. Simmons, Joshua R. Puzey, Gregory D. Conradi Smith

Biology and Medicine Through Mathematics Conference

No abstract provided.

Impacts Of Hematodinium Infection In A Seasonal Population Model Of The Chesapeake Bay Blue Crab, Gwendolyn R. Sargent, Romuald Lipcius, Leah Shaw, Junping Shi, Jeffrey D. Shields

Biology and Medicine Through Mathematics Conference

No abstract provided.

Unraveling Gut Microbiota And Mucus Dynamics In Response To Polyethylene Glycol (Peg), Shaikh Obaidullah

Biology and Medicine Through Mathematics Conference

No abstract provided.

Stage Structured Model For Oyster Restoration With Larval Transport, Sarah Brownstein

Biology and Medicine Through Mathematics Conference

No abstract provided.

Chemoattractant Distribution In The Drosophila Egg Chamber, Lara Scott

Biology and Medicine Through Mathematics Conference

No abstract provided.

Assessing The Pre- And Post-Synaptic Effects Of Opioids On Inspiratory Rhythmogenesis, Diego F. Morandi Zerpa, Jingzhi Zhao

Biology and Medicine Through Mathematics Conference

No abstract provided.

Stokes Flow Around Beating Microorganisms, Mckenna A. Witt

Biology and Medicine Through Mathematics Conference

No abstract provided.

Modeling Overwash Processes And Sea Level Rise On Barrier Islands, Beth Thomas

Biology and Medicine Through Mathematics Conference

No abstract provided.

A Random Differential Equation Model To Estimate Treatment Sensitivity In Synthetic And In Vitro Tumor Growth Data, Natalie Meacham

Biology and Medicine Through Mathematics Conference

No abstract provided.

A Comparative Analysis Of Source Identification Algorithms, Pablo A. Curiel

Biology and Medicine Through Mathematics Conference

No abstract provided.

Understanding Cardiovascular Dynamics: Insights From Data Driven Nonlinear Hyperelastic Wall Modeling In Pulmonary Arteries, Md Arifuzzaman, Mette S. Olufsen, Mansoor A. Haider

Biology and Medicine Through Mathematics Conference

No abstract provided.

Modeling Synergistic Effects Of Integrin And Tgf-Beta Signaling In Epithelial Mesenchymal Transition, Prerak Thakkar

Biology and Medicine Through Mathematics Conference

No abstract provided.

Dual-Domain Clustering Of Spatiotemporal Infectious Disease Data, Samuel R. Thornton, Erin C.S. Acquesta, Patrick D. Finley, Mansoor A. Haider

Biology and Medicine Through Mathematics Conference

No abstract provided.

Incorporating Awareness, Misinformation And Optimal Control In A Model Of Sars-Cov-2, Eric Numfor

Biology and Medicine Through Mathematics Conference

No abstract provided.

Mathematical Modeling Of Immune Response To Sars-Cov-2, Hwayeon Ryu

Biology and Medicine Through Mathematics Conference

No abstract provided.

Information Feedback Delays Within Epidemic Models And Their Effect On Model Dynamics., Maria K. Bouka, Christopher Strickland Dr

Biology and Medicine Through Mathematics Conference

No abstract provided.

Mathematically Modeling Stoichiometric Drivers Of Nitrogen Fixation, Rebecca Everett, Corday Selden, Mohamed Hatha Abdulla, Jabir Thajudeen, James Powell, Edwin Cruz-Rivera, Luca Schenone, Renn Schipper, Megan Berberich, Halvor Halvorson, Robinson Fulweiler, Amy Marcarelli, Thad Scott

Biology and Medicine Through Mathematics Conference

No abstract provided.

Topological Data Analysis Of Molecular Dynamics Simulations Of Monoclonal Antibodies, Melinda Kleczynski, Christina Bergonzo, Anthony Kearsley

Biology and Medicine Through Mathematics Conference

No abstract provided.

Stochastic Immunology Model And Its Analysis, Rahnuma Islam, David Swigon

Biology and Medicine Through Mathematics Conference

No abstract provided.

A Stochastic Multi-Host Model For West Nile Virus: Determining The Probability Of Disease Extinction!, Suzanne Robertson

Biology and Medicine Through Mathematics Conference

No abstract provided.

Clustering Using Self Organizing Maps In Biology, Olcay Akman

Biology and Medicine Through Mathematics Conference

No abstract provided.