Mathematics Commons^™

Some Effects Of The Human Genome Project On The Erdős Collaboration Graph, Chris Fields

Journal of Humanistic Mathematics

The Human Genome Project introduced large-scale collaborations involving dozens to hundreds of scientists into biology. It also created a pressing need to solve discrete mathematics problems involving tens of thousands of elements. In this paper, we use minimal path lengths in the Erdős Collaboration Graph between prominent individual researchers as a measure of the distance between disciplines, and we show that the Human Genome Project brought laboratory biology as a whole closer to mathematics. We also define a novel graph reduction method and a metric that emphasizes the robustness of collaborative connections between researchers; these can facilitate the analysis of …

Improvements On Segment Based Contours Method For Dna Microarray Image Segmentation, Yang Li

Doctoral Dissertations

DNA microarray is an efficient biotechnology tool for scientists to measure the expression levels of large numbers of genes, simultaneously. To obtain the gene expression, microarray image analysis needs to be conducted. Microarray image segmentation is a fundamental step in the microarray analysis process. Segmentation gives the intensities of each probe spot in the array image, and those intensities are used to calculate the gene expression in subsequent analysis procedures. Therefore, more accurate and efficient microarray image segmentation methods are being pursued all the time.

In this dissertation, we are making efforts to obtain more accurate image segmentation results. We …

A Genetic Algorithm-Based Feature Selection, Oluleye Babatunde, Leisa Armstrong, Jinsong Leng, Dean Diepeveen

Grain and Other Field Crops Research Articles

This article details the exploration and application of Genetic Algorithm (GA) for feature selection. Particularly a binary GA was used for dimensionality reduction to enhance the performance of the concerned classifiers. In this work, hundred (100) features were extracted from set of images found in the Flavia dataset (a publicly available dataset). The extracted features are Zernike Moments (ZM), Fourier Descriptors (FD), Lengendre Moments (LM), Hu 7 Moments (Hu7M), Texture Properties (TP) and Geometrical Properties (GP). The main contributions of this article are (1) detailed documentation of the GA Toolbox in MATLAB and (2) the development of a GA-based feature …

Topological Data Analysis Of Properties Of Four-Regular Rigid Vertex Graphs, Grant Mcneil Conine

USF Tampa Graduate Theses and Dissertations

Homologous DNA recombination and rearrangement has been modeled with a class of four-regular rigid vertex graphs called assembly graphs which can also be represented by double occurrence words. Various invariants have been suggested for these graphs, some based on the structure of the graphs, and some biologically motivated.

In this thesis we use a novel method of data analysis based on a technique known as partial-clustering analysis and an algorithm known as Mapper to examine the relationships between these invariants. We introduce some of the basic machinery of topological data analysis, including the construction of simplicial complexes on a data …

Volume 06, Kristen Gains, Amanda Willis, Holly Backer, Monika Gutierrez, Cara O'Neal, Sara Nelson, Sasha Silberman, Jessica Beardsley, Jamie Gardner, Edward Peeples, Matthew Sakach, Tess Lione, Emily Wilkins, Kelsey Holt, Jessica Page, Jamie Clift, Charles Vancampen, Gilbert Hall, Jenny Nehrt, Kasey Dye, Amanda Tharp, Jamie Leeuwrik, Ashley Mcgee, Emily Poulin, Michael Kropf, Nick Pastore, Austin Polasky, Morgan Glasco, Laura L. Kahler, Melinda L. Edwards, Brandon C. Smith, Mariah Asbell, Cabell Edmunds, Amelia D. Perry, Alyssa Hayes, Irina Boothe, Perry Bason, James Early

Incite: The Journal of Undergraduate Scholarship

Introduction from Dean Dr. Charles Ross

Caught Between Folklore and the Cold War: The Americanization of Russian Children's Literature by Kristen Gains

Graphic Design by Amanda Willis

Graphic Design by Holly Backer

Prejudices in Swiss German Accents by Monika Gutierrez

Photography by Cara O'Neal

Photography by Sara Nelson

Edmund Tyrone's Long Journey through Night by Sasha Silberman

Photography by Jessica Beardsley

Photography by Jamie Gardner and Edward Peeples

The Republican Razor: The Guillotine as a Symbol of Equality by Jamie Clift

Graphic Design by Matthew Sakach

Genocide: The Lasting Effects of Gender Stratification in Rwanda By Tess Lione and Emily …

Identification Of Transcriptionally Quiescent Regions In The Neurospora Crassa Genome, Katie Marie Groskreutz

Theses and Dissertations

Sexual reproduction and genetic exchange via meiosis are important and highly conserved processes in many living organisms. Occasionally, complications occur during meiosis that can result in chromosome abnormalities. In humans, improper chromosome development can cause life altering disorders such as Down Syndrome, Edwards Syndrome, and Patau Syndrome. Unfortunately, despite its importance, gaps remain in our knowledge of how this process works. For instance, little is known about how homolog identification occurs and what proteins identify matching chromosomes during pairing. This fundamental process occurs early during meiosis and ensures proper development of gametes.

Understanding the proteins involved during homolog pairing may …

Theoretical Analysis And Simulation Of Acute And Chronic Phase Hiv-1 Dynamics, Frank Nani, Mingxian Jin

Math and Computer Science Faculty Working Papers

Aims: The dynamics of HIV-1 induced AIDS is attributed to several biological variables, which characterize the stage, virulence and morbidity of the disease. The aim of this research is to use a necessary and sufficient subset of these immunological variables to construct a clinically plausible mathematical model of the patho-physiological dynamics of HIV-1 induced AIDS during the acute and chronic phases. This model incorporates the interactions between uninfected CD4+ T cells, HIV-1 infected CD4+ T cells, HIV-1 virions in the blood plasma, and specific cytotoxic CD8+ T cells. The major objective is to derive mathematical criteria depicting conditions under which …

Kif11 Dependent Cell Cycle Progression In Radial Glial Cells Is Required For Proper Neurogenesis In The Zebrafish Neural Tube, Kimberly Johnson, Chelsea Moriarty, Nessy Tania, Alissa Ortman, Kristina Dipietrantonio, Brittany Edens, Jean Eisenman, Deborah Ok, Sarah Krikorian, Jessica Barragan, Christophe Golé, Michael J.F. Barresi

Mathematics Sciences: Faculty Publications

Radial glia serve as the resident neural stem cells in the embryonic vertebrate nervous system, and their proliferation must be tightly regulated to generate the correct number of neuronal and glial cell progeny in the neural tube. During a forward genetic screen, we recently identified a zebrafish mutant in the kif11 loci that displayed a significant increase in radial glial cell bodies at the ventricular zone of the spinal cord. Kif11, also known as Eg5, is a kinesin-related, plus-end directed motor protein responsible for stabilizing and separating the bipolar mitotic spindle. We show here that Gfap+ radial glial cells express …

06. Computer Science, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

04. Botany, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

09. Environmental Science, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

12. Kinesiology, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

08. Engineering, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

10. Forensic Science, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

05. Chemistry, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

14. Optometry, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

15. Pharmacy, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

17. Psychology, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

19. Zoology, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

03. Biology, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

13. Mathematics, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

16. Physics, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

02. Animal Science, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

07. Criminal Justice, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

11. Genetics, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

18. Statistics, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.

Numerical Algorithms For Solving A Generalized Cancer Chemotherapy Problem, Frank Nani, Mingxian Jin

Math and Computer Science Faculty Working Papers

In this paper, two elaborate numerical algorithms are presented for solving the Nani- Oguztoreli functional differential equations associated with cell-cycle specific cancer chemotherapy. The generalized cell-cycle specific cancer chemotherapy model of Nani- Oguztoreli contains discrete time delays which represent the times that the cancer cells spend in each cell-cycle phase. The model also takes into account that inter-cell cycle phase transition rate constants, recruitment of resting cells from the GO phase, and effect of chemotherapy drug on cells in each phase. The algorithms utilize a modified version of the Method of Steps algorithms. The constructed numerical schemes can be implemented …

Epistasis In Predator-Prey Relationships, Iuliia Inozemtseva

College of Graduate Studies: Theses & Dissertations

Epistasis is the interaction between two or more genes to control a single phenotype. We model epistasis of the prey in a two-locus two-allele problem in a basic predator- prey relationship. The resulting model allows us to examine both population sizes as well as genotypic and phenotypic frequencies. In the context of several numerical examples, we show that if epistasis results in an undesirable or desirable phenotype in the prey by making the particular genotype more or less susceptible to the predator or dangerous to the predator, elimination of undesirable phenotypes and then genotypes occurs.

Ua66 Ogden College Of Science & Engineering Newsletter, Cheryl Stevens, Dean

Ogden College of Science & Engineering Publications

No abstract provided.

Random Search Models Of Foraging Behavior: Theory, Simulation, And Observation, Ben C. Nolting

Department of Mathematics: Dissertations, Theses, and Student Research

Many organisms, from bacteria to primates, use stochastic movement patterns to find food. These movement patterns, known as search strategies, have recently be- come a focus of ecologists interested in identifying universal properties of optimal foraging behavior. In this dissertation, I describe three contributions to this field. First, I propose a way to extend Charnov's Marginal Value Theorem to the spatially explicit framework of stochastic search strategies. Next, I describe simulations that compare the efficiencies of sensory and memory-based composite search strategies, which involve switching between different behavioral modes. Finally, I explain a new behavioral analysis protocol for identifying the …