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General Equations For Natural Selection Under Complete Dominance, Kasthuri Kannan, Adriana Heguy 2016 New York University

General Equations For Natural Selection Under Complete Dominance, Kasthuri Kannan, Adriana Heguy

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Efficient Quartet Systems, Joseph Rusinko 2016 Hobart and William Smith Colleges

Efficient Quartet Systems, Joseph Rusinko

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Mathematical Models And Optimal Control For Alternative Pest Management To Alfalfa Agroecosystems, Mohammed Yahdi Dr. 2016 Hartnell College

Mathematical Models And Optimal Control For Alternative Pest Management To Alfalfa Agroecosystems, Mohammed Yahdi Dr.

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Making Waves: A Computational Swimming Lamprey With Sensory Feedback, Christina Hamlet, Eric D. Tytell, Lisa J. Fauci, Kathleen A. Hoffman 2016 Bucknell University

Making Waves: A Computational Swimming Lamprey With Sensory Feedback, Christina Hamlet, Eric D. Tytell, Lisa J. Fauci, Kathleen A. Hoffman

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Density-Dependent Leslie Matrix Modeling For Logistic Populations With Steady-State Distribution Control, Andrew M. Davis, Bruce Kessler 2016 Western Kentucky University

Density-Dependent Leslie Matrix Modeling For Logistic Populations With Steady-State Distribution Control, Andrew M. Davis, Bruce Kessler

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


How Steep Is Steep? Learning Curves In Training Undergraduates To Do Fluid-Structure Interaction Modeling, Nicholas A. Battista 2016 University of North Carolina at Chapel Hill

How Steep Is Steep? Learning Curves In Training Undergraduates To Do Fluid-Structure Interaction Modeling, Nicholas A. Battista

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


A 2-D Compartmental Model For Multi-Capillary Supply, Liang Sun, Junkoo Park, Alessandra L. Barrera 2016 Georgia Gwinnett College

A 2-D Compartmental Model For Multi-Capillary Supply, Liang Sun, Junkoo Park, Alessandra L. Barrera

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Neural Networks: Using Biomarkers To Inform Diagnosis, Classification Of Disease And Approach To Therapy, Paula Grajdeanu 2016 Shenandoah University

Neural Networks: Using Biomarkers To Inform Diagnosis, Classification Of Disease And Approach To Therapy, Paula Grajdeanu

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Spatiotemporal Protein Patterns In Dividing Bacterial Cells, Blerta Shtylla 2016 Illinois State University

Spatiotemporal Protein Patterns In Dividing Bacterial Cells, Blerta Shtylla

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Creating Art Patterns With Math And Code, Boyan Kostadinov 2016 CUNY New York City College of Technology

Creating Art Patterns With Math And Code, Boyan Kostadinov

Publications and Research

The goal of this talk is to showcase some visualization projects that we developed for a 3-day Code in R summer program, designed to inspire the creative side of our STEM students by engaging them with computational projects that we developed with the purpose of mixing calculus level math and code to create complex geometric patterns. One of the goals of this program was to attract more minority and female students into applied math and computer science majors.

The projects are designed to be implemented using the high-level, open-source and free computational environment R, a popular software in industry for ...


Mathematical Hybrid Models For Image Segmentation., Carlos M. Paniagua Mejia 2016 University of Louisville

Mathematical Hybrid Models For Image Segmentation., Carlos M. Paniagua Mejia

Electronic Theses and Dissertations

Two hybrid image segmentation models that are able to process a wide variety of images are proposed. The models take advantage of global (region) and local (edge) data of the image to be segmented. The first one is a region-based PDE model that incorporates a combination of global and local statistics. The influence of each statistic is controlled using weights obtained via an asymptotically stable exponential function. Through incorporation of edge information, the second model extends the capabilities of a strictly region-based variational formulation, making it able to process more general images. Several examples are provided showing the improvements of ...


A Computational Geometric And Graph Theoretic Approach To Reducing Dimensionality On Raster Data Problems, Matthew James Robert Bachstein 2016 University of Tennessee, Knoxville

A Computational Geometric And Graph Theoretic Approach To Reducing Dimensionality On Raster Data Problems, Matthew James Robert Bachstein

Masters Theses

Large scale mathematical models often involve a trade off between computational length and detail. In general, the more detailed the data, the more time it takes for the model to process. Models that use geographic scale data are particularly susceptible to this inflation; fine resolution data (on the order of m2 [meters squared]) brings great benefits, but demolishes the computation time. This thesis presents a method for reducing the dimensionality of large scale data in a systematic manner to maximize the benefits of fine resolution data while minimizing the computational time increase, then applying the method to a simulated invasive ...


Optimizing The Mix Of Games And Their Locations On The Casino Floor, Jason D. Fiege, Anastasia D. Baran 2016 nQube Technical Computing Corp.

Optimizing The Mix Of Games And Their Locations On The Casino Floor, Jason D. Fiege, Anastasia D. Baran

International Conference on Gambling and Risk Taking

We present a mathematical framework and computational approach that aims to optimize the mix and locations of slot machine types and denominations, plus other games to maximize the overall performance of the gaming floor. This problem belongs to a larger class of spatial resource optimization problems, concerned with optimizing the allocation and spatial distribution of finite resources, subject to various constraints. We introduce a powerful multi-objective evolutionary optimization and data-modelling platform, developed by the presenter since 2002, and show how this software can be used for casino floor optimization. We begin by extending a linear formulation of the casino floor ...


Stationary And Time-Dependent Optimization Of The Casino Floor Slot Machine Mix, Anastasia D. Baran, Jason D. Fiege 2016 nQube Technical Computing Corp.

Stationary And Time-Dependent Optimization Of The Casino Floor Slot Machine Mix, Anastasia D. Baran, Jason D. Fiege

International Conference on Gambling and Risk Taking

Modeling and optimizing the performance of a mix of slot machines on a gaming floor can be addressed at various levels of coarseness, and may or may not consider time-dependent trends. For example, a model might consider only time-averaged, aggregate data for all machines of a given type; time-dependent aggregate data; time-averaged data for individual machines; or fully time dependent data for individual machines. Fine-grained, time-dependent data for individual machines offers the most potential for detailed analysis and improvements to the casino floor performance, but also suffers the greatest amount of statistical noise. We present a theoretical analysis of single ...


The Evolution Of Cryptology, Gwendolyn Rae Souza 2016 California State University - San Bernardino

The Evolution Of Cryptology, Gwendolyn Rae Souza

Electronic Theses, Projects, and Dissertations

We live in an age when our most private information is becoming exceedingly difficult to keep private. Cryptology allows for the creation of encryptive barriers that protect this information. Though the information is protected, it is not entirely inaccessible. A recipient may be able to access the information by decoding the message. This possible threat has encouraged cryptologists to evolve and complicate their encrypting methods so that future information can remain safe and become more difficult to decode. There are various methods of encryption that demonstrate how cryptology continues to evolve through time. These methods revolve around different areas of ...


Thinking Poker Through Game Theory, Damian Palafox 2016 California State University, San Bernardino

Thinking Poker Through Game Theory, Damian Palafox

Electronic Theses, Projects, and Dissertations

Poker is a complex game to analyze. In this project we will use the mathematics of game theory to solve some simplified variations of the game. Probability is the building block behind game theory. We must understand a few concepts from probability such as distributions, expected value, variance, and enumeration methods to aid us in studying game theory. We will solve and analyze games through game theory by using different decision methods, decision trees, and the process of domination and simplification. Poker models, with and without cards, will be provided to illustrate optimal strategies. Extensions to those models will be ...


Abrupt Transitions From Low To High Firing Frequencies In Neurons And Neuronal Networks, Ryusei Melody Takeuchi, Christoph Borgers 2016 Tufts University

Abrupt Transitions From Low To High Firing Frequencies In Neurons And Neuronal Networks, Ryusei Melody Takeuchi, Christoph Borgers

Biology and Medicine Through Mathematics Conference

No abstract provided.


In-111 Uptake In Spect Images Of Murine Tumors With Varying Antigen Expression: A Topological Approach, Sarah J. Tymochko 2016 College of the Holy Cross

In-111 Uptake In Spect Images Of Murine Tumors With Varying Antigen Expression: A Topological Approach, Sarah J. Tymochko

Biology and Medicine Through Mathematics Conference

No abstract provided.


Can Including Time Delay In Epidemic Models Significantly Improve Predictions Concerning Intervention Strategies?, Adrienna N. Bingham, Leah Shaw 2016 College of William and Mary

Can Including Time Delay In Epidemic Models Significantly Improve Predictions Concerning Intervention Strategies?, Adrienna N. Bingham, Leah Shaw

Biology and Medicine Through Mathematics Conference

No abstract provided.


A Topological Analysis Of Targeted In-111 Up- Take In Spect Images Of Murine Tumors., David Damiano 2016 College of the Holy Cross

A Topological Analysis Of Targeted In-111 Up- Take In Spect Images Of Murine Tumors., David Damiano

Biology and Medicine Through Mathematics Conference

No abstract provided.


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