Rose-Hulman Institute of Technology
The University of Western Ontario
The University of Akron
University of North Georgia
Virginia Commonwealth University
AAR Aerospace Consulting, LLC
University of Nebraska-Lincoln
The Influence Of Canalization On The Robustness Of Finite Dynamical Systems,
2018
Illinois State University
The Influence Of Canalization On The Robustness Of Finite Dynamical Systems, Claus Kadelka
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Modeling Influenza Outbreaks On A College Campus,
2018
University of Colorado Boulder
Modeling Influenza Outbreaks On A College Campus, Eli Goldwyn, Subekshya Bidari
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Combinatorial Geometry Of Threshold-Linear Networks,
2018
Illinois State University
Combinatorial Geometry Of Threshold-Linear Networks, Christopher Langdon
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Introducing The Fractional Differentiation For Clinical Data-Justified Prostate Cancer Modelling Under Iad Therapy,
2018
Illinois State University
Introducing The Fractional Differentiation For Clinical Data-Justified Prostate Cancer Modelling Under Iad Therapy, Ozlem Ozturk Mizrak
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Using Pair Approximation Methods To Analyze Behavior Of A Probabilistic Cellular Automaton Model For Intracellular Cardiac Calcium Dynamics,
2018
Loyola Marymount University
Using Pair Approximation Methods To Analyze Behavior Of A Probabilistic Cellular Automaton Model For Intracellular Cardiac Calcium Dynamics, Robert J. Rovetti
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Investigation Of Chaos In Biological Systems,
2018
The University of Western Ontario
Investigation Of Chaos In Biological Systems, Navaneeth Mohan
Electronic Thesis and Dissertation Repository
Chaos is the seemingly irregular behavior arising from a deterministic system. Chaos is observed in many real-world systems. Edward Lorenz’s seminal discovery of chaotic behavior in a weather model has prompted researchers to develop tools that distinguish chaos from non-chaotic behavior. In the first chapter of this thesis, I survey the tools for detecting chaos namely, Poincaré maps, Lyapunov exponents, surrogate data analysis, recurrence plots and correlation integral plots. In chapter two, I investigate blood pressure fluctuations for chaotic signatures. Though my analysis reveals interesting evidence in support of chaos, the utility such an analysis lies in a different ...
The Computational Study Of Fly Swarms & Complexity,
2018
Linfield College
The Computational Study Of Fly Swarms & Complexity, Austin Bebee
Senior Theses
A system is considered complex if it is composed of individual parts that abide by their own set of rules, while the system, as a whole, will produce non-deterministic properties. This prevents the behavior of such systems from being accurately predicted. The motivation for studying complexity spurs from the fact that it is a fundamental aspect of innumerable systems. Among complex systems, fly swarms are relatively simple, but even so they are still not well understood. In this research, several computational models were developed to assist with the understanding of fly swarms. These models were primarily analyzed by using the ...
Physical Applications Of The Geometric Minimum Action Method,
2018
The Graduate Center, City University of New York
Physical Applications Of The Geometric Minimum Action Method, George L. Poppe Jr.
All Dissertations, Theses, and Capstone Projects
This thesis extends the landscape of rare events problems solved on stochastic systems by means of the \textit{geometric minimum action method} (gMAM). These include partial differential equations (PDEs) such as the real Ginzburg-Landau equation (RGLE), the linear Schroedinger equation, along with various forms of the nonlinear Schroedinger equation (NLSE) including an application towards an ultra-short pulse mode-locked laser system (MLL).
Additionally we develop analytical tools that can be used alongside numerics to validate those solutions. This includes the use of instanton methods in deriving state transitions for the linear Schroedinger equation and the cubic diffusive NLSE.
These analytical solutions ...
Iterative Methods To Solve Systems Of Nonlinear Algebraic Equations,
2018
Western Kentucky University
Iterative Methods To Solve Systems Of Nonlinear Algebraic Equations, Md Shafiful Alam
Masters Theses & Specialist Projects
Iterative methods have been a very important area of study in numerical analysis since the inception of computational science. Their use ranges from solving algebraic equations to systems of differential equations and many more. In this thesis, we discuss several iterative methods, however our main focus is Newton's method. We present a detailed study of Newton's method, its order of convergence and the asymptotic error constant when solving problems of various types as well as analyze several pitfalls, which can affect convergence. We also pose some necessary and sufficient conditions on the function f for higher order of ...
P-46 A Periodic Matrix Model Of Seabird Behavior And Population Dynamics,
2018
Andrews University
P-46 A Periodic Matrix Model Of Seabird Behavior And Population Dynamics, Mykhaylo M. Malakhov, Benjamin Macdonald, Shandelle M. Henson, J. M. Cushing
Honors Scholars & Undergraduate Research Poster Symposium Programs
Rising sea surface temperatures (SSTs) in the Pacific Northwest lead to food resource reductions for surface-feeding seabirds, and have been correlated with several marked behavioral changes. Namely, higher SSTs are associated with increased egg cannibalism and egg-laying synchrony in the colony. We study the long-term effects of climate change on population dynamics and survival by considering a simplified, cross-season model that incorporates both of these behaviors in addition to density-dependent and environmental effects. We show that cannibalism can lead to backward bifurcations and strong Allee effects, allowing the population to survive at lower resource levels than would be possible otherwise.
Theoretical Analysis Of Nonlinear Differential Equations,
2018
Stephen F Austin State University
Theoretical Analysis Of Nonlinear Differential Equations, Emily Jean Weymier
Electronic Theses and Dissertations
Nonlinear differential equations arise as mathematical models of various phenomena. Here, various methods of solving and approximating linear and nonlinear differential equations are examined. Since analytical solutions to nonlinear differential equations are rare and difficult to determine, approximation methods have been developed. Initial and boundary value problems will be discussed. Several linear and nonlinear techniques to approximate or solve the linear or nonlinear problems are demonstrated. Regular and singular perturbation theory and Magnus expansions are our particular focus. Each section offers several examples to show how each technique is implemented along with the use of visuals to demonstrate the accuracy ...
Particle Filters For State Estimation Of Confined Aquifers,
2018
University of North Florida
Particle Filters For State Estimation Of Confined Aquifers, Graeme Field
UNF Graduate Theses and Dissertations
Mathematical models are used in engineering and the sciences to estimate properties of systems of interest, increasing our understanding of the surrounding world and driving technological innovation. Unfortunately, as the systems of interest grow in complexity, so to do the models necessary to accurately describe them. Analytic solutions for problems with such models are provably intractable, motivating the use of approximate yet still accurate estimation techniques. Particle filtering methods have emerged as a popular tool in the presence of such models, spreading from its origins in signal processing to a diverse set of fields throughout engineering and the sciences including ...
Reduced Models Of Point Vortex Systems In Quasigeostrophic Fluid Dynamics,
2018
University of Massachusetts Amherst
Reduced Models Of Point Vortex Systems In Quasigeostrophic Fluid Dynamics, Jonathan Maack
Doctoral Dissertations
We develop a nonequilibrium statistical mechanical description of the evolution of point vortex systems governed by either the Euler, single-layer quasigeostrophic or two-layer quasigeostrophic equations. Our approach is based on a recently proposed optimal closure procedure for deriving reduced models of Hamiltonian systems. In this theory the statistical evolution is kept within a parametric family of distributions based on the resolved variables chosen to describe the macrostate of the system. The approximate evolution is matched as closely as possible to the true evolution by minimizing the mean-squared residual in the Liouville equation, a metric which quantifies the information loss rate ...
Hopf Bifurcation Analysis Of Chaotic Chemical Reactor Model,
2018
University of Central Florida
Hopf Bifurcation Analysis Of Chaotic Chemical Reactor Model, Daniel Mandragona
Honors in the Major Theses
Bifurcations in Huang's chaotic chemical reactor system leading from simple dynamics into chaotic regimes are considered. Following the linear stability analysis, the periodic orbit resulting from a Hopf bifurcation of any of the six fixed points is constructed analytically by the method of multiple scales across successively slower time scales, and its stability is then determined by the resulting final secularity condition. Furthermore, we run numerical simulations of our chemical reactor at a particular fixed point of interest, alongside a set of parameter values that forces our system to undergo Hopf bifurcation. These numerical simulations then verify our analysis ...
Call For Abstracts - Resrb 2018, June 18-20, Brussels, Belgium,
2017
Wojciech Budzianowski Consulting Services
Call For Abstracts - Resrb 2018, June 18-20, Brussels, Belgium, Wojciech M. Budzianowski
Wojciech Budzianowski
No abstract provided.
Rogue Rotary - Modular Robotic Rotary Joint Design,
2017
California Polytechnic State University, San Luis Obispo
Rogue Rotary - Modular Robotic Rotary Joint Design, Sean Wesley Murphy, Tyler David Riessen, Jacob Mark Triplett
Mechanical Engineering
This paper describes the design process from ideation to test validation for a singular robotic joint to be configured into a myriad of system level of robots.
On The Existence Of Bogdanov-Takens Bifurcations,
2017
Missouri State University
On The Existence Of Bogdanov-Takens Bifurcations, Zachary Deskin
MSU Graduate Theses
In bifurcation theory, there is a theorem (called Sotomayor's Theorem) which proves the existence of one of three possible bifurcations of a given system, provided that certain conditions of the system are satisfied. It turns out that there is a "similar" theorem for proving the existence of what is referred to as a Bogdanov-Takens bifurcation. The author is only aware of one reference that has the proof of this theorem. However, most of the details were left out of the proof. The contribution of this thesis is to provide the details of the proof on the existence of Bogdanov-Takens ...
Examining The Electrical Excitation, Calcium Signaling, And Mechanical Contraction Cycle In A Heart Cell,
2017
Eastern University
Examining The Electrical Excitation, Calcium Signaling, And Mechanical Contraction Cycle In A Heart Cell, Kristen Deetz, Nygel Foster, Darius Leftwich, Chad Meyer, Shalin Patel, Carlos Barajas, Matthias K. Gobbert, Zana Coulibaly
Spora: A Journal of Biomathematics
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 dysregulation, however, is not yet fully understood and is not easily predicted; this provides motivation for the subsequent research. Excitation-contraction coupling (ECC) is the process through which cardiomyocytes undergo contraction from an action potential. Calcium induced calcium release (CICR) is the mechanism through which electrical excitation is coupled with mechanical contraction through calcium signaling. The study of the interplay between electrical excitation, calcium signaling, and mechanical ...
Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis,
2017
Cylance, Inc.
Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis, Andrew Palumbo
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Agent-Based Model For Integrated Pest Management With Periodic Control Strategies,
2017
Benedictine University
Agent-Based Model For Integrated Pest Management With Periodic Control Strategies, Timothy Comar, Elizabeth Rodriguez
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
