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Ordinary Differential Equations and Applied Dynamics Commons

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All Articles in Ordinary Differential Equations and Applied Dynamics

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Parts Of The Whole: Why I Teach This Subject This Way, Dorothy Wallace 2017 Dartmouth College

Parts Of The Whole: Why I Teach This Subject This Way, Dorothy Wallace

Numeracy

The importance of mathematics to biology is illustrated by search data from Google Scholar. I argue that a pedagogical approach based on student research projects is likely to improve retention and foster critical thinking about mathematical modeling, as well as reinforce quantitative reasoning and the appreciation of calculus as a tool. The usual features of a course (e.g., the instructor, assessment, text, etc.) are shown to have very different purposes in a research-based course.


Design Of Orbital Maneuvers With Aeroassisted Cubesatellites, Stephanie Clark 2017 University of Arkansas, Fayetteville

Design Of Orbital Maneuvers With Aeroassisted Cubesatellites, Stephanie Clark

Stephanie Clark

Recent advances within the field of cube satellite technology has allowed for the possible development of a maneuver that utilizes a satellite's Low Earth Orbit (LEO) and increased atmospheric density to effectively use lift and drag to implement a noncoplanar orbital maneuver. Noncoplanar maneuvers typically require large quantities of propellant due to the large delta-v that is required. However, similar maneuvers using perturbing forces require little or no propellant to create the delta-v required. This research reported here studied on the effects of lift on orbital changes, those of noncoplanar types in particular, for small satellites without orbital maneuvering ...


Modeling For Ut Inspection Of Anisotropic Materials, Robert A. Roberts, Robert Grandin, Andrew Downs 2017 Iowa State University

Modeling For Ut Inspection Of Anisotropic Materials, Robert A. Roberts, Robert Grandin, Andrew Downs

Robert Grandin

This presentation reports on the extension of an established CNDE ultrasound beam transmission model to accommodate transmission in generally anisotropic materials. Using principles of elastodynamic reciprocity, the model expresses the internal wave field as a surface integral over the radiating transducer, employing the full Green function (point force response function) for the combined body under inspection and the coupling medium. The model evaluates the Green function asymptotically for short wavelength, and is therefore referred to as an asymptotic Green function model (AGF). The integrand of the transducer integral is projected on to a discretely orthogonal Gaussian basis, leading to a ...


Modeling Hiv Dynamics Following 3bnc117 Antibody Infusion, Samantha Erwin 2017 Virginia Polytechnic Institute and State University

Modeling Hiv Dynamics Following 3bnc117 Antibody Infusion, Samantha Erwin

Biology and Medicine Through Mathematics Conference

No abstract provided.


Oscillations In Epidemic Models With Spread Of Awareness, Ying Xin 2017 Ohio University - Main Campus

Oscillations In Epidemic Models With Spread Of Awareness, Ying Xin

Biology and Medicine Through Mathematics Conference

No abstract provided.


The Role Of E-Antigen In Hepatitiv B Virus Infection, Mirjam Sarah Kadelka 2017 Virginia Polytechnic Institute and State University

The Role Of E-Antigen In Hepatitiv B Virus Infection, Mirjam Sarah Kadelka

Biology and Medicine Through Mathematics Conference

No abstract provided.


A Model For A Parameter Related To Free Virus Production From Infected Target Cells, Evan C. Haskell 2017 Nova Southeastern University

A Model For A Parameter Related To Free Virus Production From Infected Target Cells, Evan C. Haskell

Biology and Medicine Through Mathematics Conference

No abstract provided.


Mathematical Modeling Of Normal And Abnormal Responses To The Valsalva Maneuver, Eric Benjamin Randall 2017 North Carolina State University

Mathematical Modeling Of Normal And Abnormal Responses To The Valsalva Maneuver, Eric Benjamin Randall

Biology and Medicine Through Mathematics Conference

No abstract provided.


The Kinetics Of Type I Interferons During Influenza Virus Infection, Margaret A. Myers 2017 St. Jude Children's Research Hospital, Rhodes College

The Kinetics Of Type I Interferons During Influenza Virus Infection, Margaret A. Myers

Biology and Medicine Through Mathematics Conference

No abstract provided.


Control Policies And Sensitivity Analysis In A Cutaneous Leishmaniasis Model: A Case Study In Cusco Region, Peru., Rocio M. Caja-Rivera, Ignacio Barradas 2017 CIMAT

Control Policies And Sensitivity Analysis In A Cutaneous Leishmaniasis Model: A Case Study In Cusco Region, Peru., Rocio M. Caja-Rivera, Ignacio Barradas

Biology and Medicine Through Mathematics Conference

No abstract provided.


Application Of Symplectic Integration On A Dynamical System, William Frazier 2017 East Tennessee State University

Application Of Symplectic Integration On A Dynamical System, William Frazier

Electronic Theses and Dissertations

Molecular Dynamics (MD) is the numerical simulation of a large system of interacting molecules, and one of the key components of a MD simulation is the numerical estimation of the solutions to a system of nonlinear differential equations. Such systems are very sensitive to discretization and round-off error, and correspondingly, standard techniques such as Runge-Kutta methods can lead to poor results. However, MD systems are conservative, which means that we can use Hamiltonian mechanics and symplectic transformations (also known as canonical transformations) in analyzing and approximating solutions. This is standard in MD applications, leading to numerical techniques known as symplectic ...


Accuracy And Stability Of Integration Methods For Neutrino Transport In Core Collapse Supernovae, Kyle A. Gregory 2017 kgrego12

Accuracy And Stability Of Integration Methods For Neutrino Transport In Core Collapse Supernovae, Kyle A. Gregory

University of Tennessee Honors Thesis Projects

No abstract provided.


Hawking Radiation And Classical Tunneling: A Numerical Study, Dmitriy Zhigunov 2017 College of William and Mary

Hawking Radiation And Classical Tunneling: A Numerical Study, Dmitriy Zhigunov

Undergraduate Honors Theses

Unruh [1] demonstrated that black holes have an analogy in acoustics. Under this analogy the acoustic event horizon is defined by the set of points in which the local background flow exceeds the local sound speed. In past work [2], we demonstrated that under a white noise source, the acoustic event horizon will radiate at a thermal spectrum via a classical tunneling process. In this work, I summarize the theory presented in [2] and nondimensionalize it in order to reduce the dynamical equations to one parameter, the coupling coefficient η2. Since η2 is the sole parameter of the system, we ...


Plateau Potential Fluctuations And Intrinsic Membrane Noise, Daniel Scott Borrus 2017 College of William and Mary

Plateau Potential Fluctuations And Intrinsic Membrane Noise, Daniel Scott Borrus

Undergraduate Honors Theses

This thesis focuses on subthreshold membrane potential fluctuations in the plateau potentials of bistable neurons. Research involved with plateau potentials typically finds one of the resting membrane potentials to be more susceptible to voltage fluctuations. This difference in the amplitude of the membrane potential fluctuations is most often attributed to the voltage-dependent membrane conductance. Occasionally, however, the typically quieter resting membrane potential exhibits larger voltage fluctuations than the expected one. It has been proposed that this increased membrane potential noise is the result of the stochastic gating of the voltage-gated ion channels. In this thesis, we use a simple bistable ...


Models Of Nation-Building Via Systems Of Differential Equations, Carissa F. Slone, Darryl K. Ahner, Mark E. Oxley, William P. Baker 2017 Cedarville University

Models Of Nation-Building Via Systems Of Differential Equations, Carissa F. Slone, Darryl K. Ahner, Mark E. Oxley, William P. Baker

The Research and Scholarship Symposium

Nation-building modeling is an important field of research given the increasing number of candidate nations and the limited resources available. A modeling methodology and a system of differential equations model are presented to investigate the dynamics of nation-building. The methodology is based upon parameter identification techniques applied to a system of differential equations, to evaluate nation-building operations. Data from Operation Iraqi Freedom (OIF) and Afghanistan are used to demonstrate the validity of different models as well as the comparison of models.


Comparing Methods Of Measuring Chaos In The Symbolic Dynamics Of Strange Attractors, James J. Scully 2017 Georgia State University

Comparing Methods Of Measuring Chaos In The Symbolic Dynamics Of Strange Attractors, James J. Scully

Georgia State Undergraduate Research Conference

No abstract provided.


A Physics-Based Approach To Modeling Wildland Fire Spread Through Porous Fuel Beds, Tingting Tang 2017 University of Kentucky

A Physics-Based Approach To Modeling Wildland Fire Spread Through Porous Fuel Beds, Tingting Tang

Theses and Dissertations--Mechanical Engineering

Wildfires are becoming increasingly erratic nowadays at least in part because of climate change. CFD (computational fluid dynamics)-based models with the potential of simulating extreme behaviors are gaining increasing attention as a means to predict such behavior in order to aid firefighting efforts. This dissertation describes a wildfire model based on the current understanding of wildfire physics. The model includes physics of turbulence, inhomogeneous porous fuel beds, heat release, ignition, and firebrands. A discrete dynamical system for flow in porous media is derived and incorporated into the subgrid-scale model for synthetic-velocity large-eddy simulation (LES), and a general porosity-permeability model ...


Code For "Noise-Enhanced Coding In Phasic Neuron Spike Trains", Cheng Ly, Brent D. Doiron 2017 Virginia Commonwealth University

Code For "Noise-Enhanced Coding In Phasic Neuron Spike Trains", Cheng Ly, Brent D. Doiron

Statistical Sciences and Operations Research Data

This zip file contains Matlab scripts and ode (XPP) files to calculate the statistics of the models in "Noise-Enhanced Coding in Phasic Neuron Spike Trains". This article is published in PLoS ONE.


Dynamics Of Gene Networks In Cancer Research, Paul Scott 2017 Georgia Southern University

Dynamics Of Gene Networks In Cancer Research, Paul Scott

Electronic Theses & Dissertations

Cancer prevention treatments are being researched to see if an optimized treatment schedule would decrease the likelihood of a person being diagnosed with cancer. To do this we are looking at genes involved in the cell cycle and how they interact with one another. Through each gene expression during the life of a normal cell we get an understanding of the gene interactions and test these against those of a cancerous cell. First we construct a simplified network model of the normal gene network. Once we have this model we translate it into a transition matrix and force changes on ...


Proceedings Of The 2nd Resrb 2017 Conference, June 19-21, Wrocław, Poland, Wojciech M. Budzianowski 2016 Wroclaw University of Technology

Proceedings Of The 2nd Resrb 2017 Conference, June 19-21, Wrocław, Poland, Wojciech M. Budzianowski

Wojciech Budzianowski

No abstract provided.


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