Motion Planning For Educational Robots, 2018 Selected Works

#### Motion Planning For Educational Robots, Ronald I. Greenberg, Jeffery M. Karp

*Ronald Greenberg*

This paper considers various simple ways of navigating in a 2-dimensional territory with a two-wheeled robot of a type typical in educational robotics. We determine shortest paths under various modes of operation and compare.

Decoding Book Barcode Images, 2018 Claremont McKenna College

#### Decoding Book Barcode Images, Yizhou Tao

*CMC Senior Theses*

This thesis investigated a method of barcode reconstruction to address the recovery of a blurred and convoluted one-dimensional barcode. There are a lot of types of barcodes used today, such as Code 39, Code 93, Code 128, etc. Our algorithm applies to the universal barcode, EAN 13. We extend the methodologies proposed by Iwen et al. (2013) in the journal article "A Symbol-Based Algorithm for Decoding barcodes." The algorithm proposed in the paper requires a signal measured by a laser scanner as an input. The observed signal is modeled as a true signal corrupted by a Gaussian convolution, additional noises ...

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.

Registration Form Resrb 2018, 2017 Wojciech Budzianowski Consulting Services

#### Registration Form Resrb 2018, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Abstract Template Resrb 2018, 2017 Wojciech Budzianowski Consulting Services

#### Abstract Template Resrb 2018, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Spectral Dynamics Of Graph Sequences Generated By Subdivision And Triangle Extension, 2017 Jimei University

#### Spectral Dynamics Of Graph Sequences Generated By Subdivision And Triangle Extension, Haiyan Chen, Fuji Zhang

*Electronic Journal of Linear Algebra*

For a graph G and a unary graph operation X, there is a graph sequence \G_k generated by G_0=G and G_{k+1}=X(G_k). Let Sp({G_k}) denote the set of normalized Laplacian eigenvalues of G_k. The set of limit points of \bigcup_{k=0}^\infty Sp(G_k)$, $\liminf_{k\rightarrow\infty}Sp(G_k) and $\limsup_{k\rightarrow \infty}Sp(G_k)$ are considered in this paper for graph sequences generated by two operations: subdivision and triangle extension. It is obtained that the spectral dynamic of graph sequence generated by subdivision is determined by a quadratic function, which is ...

Making Models With Bayes, 2017 California State University, San Bernardino

#### Making Models With Bayes, Pilar Olid

*Electronic Theses, Projects, and Dissertations*

Bayesian statistics is an important approach to modern statistical analyses. It allows us to use our prior knowledge of the unknown parameters to construct a model for our data set. The foundation of Bayesian analysis is Bayes' Rule, which in its proportional form indicates that the posterior is proportional to the prior times the likelihood. We will demonstrate how we can apply Bayesian statistical techniques to fit a linear regression model and a hierarchical linear regression model to a data set. We will show how to apply different distributions to Bayesian analyses and how the use of a prior affects ...

Modeling Aggregation Of Proliferating Microglia In Response To Amyloid-Beta In Dementia, 2017 Centre College

#### Modeling Aggregation Of Proliferating Microglia In Response To Amyloid-Beta In Dementia, Adrienne C. Kinney, Ellen R. Swanson

*Spora: A Journal of Biomathematics*

Amyloid-beta plaques are prominent biological markers in dementia brains. In response to plaque formation, the brain's immune cells, microglia, become reactive. Microglia are measurable cells that surround amyloid-beta plaques, indicating their location. A system of partial differential equations describes the concentration of microglia in dementia brains by incorporating chemotactic signaling. However, this system fails to incorporate increasing numbers of reactive microglia cells in response to amyloid-beta aggregation. A system of ordinary differential equations describing the number of significant cells and proteins in the brain suggests the amount of reactive microglia increases significantly during the progression of dementia. We couple ...

Lessons And Perspectives From The Data Science Industry, 2017 Illinois State University

#### Lessons And Perspectives From The Data Science Industry, Elsa Schaefer

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Mathematically Modeling The Impact Of Invasive Crayfish Removal On Oncorhynchus Mykiss Population Dynamics In Topanga Creek, 2017 Pepperdine University

#### Mathematically Modeling The Impact Of Invasive Crayfish Removal On Oncorhynchus Mykiss Population Dynamics In Topanga Creek, Madison Cox, Courtney Davis Phd, Rosi Dagit

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, 2017 Pomona College

#### Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, Timothy Woods Ii

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

A Method For Sensitivity Analysis And Parameter Estimation Applied To A Large Reaction-Diffusion Model Of Cell Polarization, 2017 The Ohio State University

#### A Method For Sensitivity Analysis And Parameter Estimation Applied To A Large Reaction-Diffusion Model Of Cell Polarization, Marissa Renardy, Tau-Mu Yi, Dongbin Xiu, Ching-Shan Chou

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Drawbacks Of Utilizing The Logit Link In Propensity Score Weighting Adjustment, 2017 LSUHSC, School of Public Health, Biostatistics Program

#### Drawbacks Of Utilizing The Logit Link In Propensity Score Weighting Adjustment, Evrim Oral

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Handguns And Hotspots: Spatio- Temporal Models For Gun Violence In Chicago,Il, 2017 University of Tennessee, Knoxville

#### Handguns And Hotspots: Spatio- Temporal Models For Gun Violence In Chicago,Il, Shelby Scott

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Development Of Epithelial Tissues: How Are Cleavage Planes Chosen?, 2017 Ohio University - Main Campus

#### Development Of Epithelial Tissues: How Are Cleavage Planes Chosen?, Ying Xin

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Mathematical Medicine: Modeling Disease And Treatment, 2017 Illinois State University

#### Mathematical Medicine: Modeling Disease And Treatment, Lisette Depillis

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Modelling Walleye Population And Its Cannibalism Effect, 2017 The University of Western Ontario

#### Modelling Walleye Population And Its Cannibalism Effect, Quan Zhou

*Electronic Thesis and Dissertation Repository*

Walleye is a very common recreational fish in Canada with a strong cannibalism tendency, such that walleyes with larger sizes will consume their smaller counterparts when food sources are limited or a surplus of adults is present. Cannibalism may be a factor promoting population oscillation. As fish reach a certain age or biological stage (i.e. biological maturity), the number of fish achieving that stage is known as fish recruitment. The objective of this thesis is to model the walleye population with its recruitment and cannibalism effect. A matrix population model has been introduced to characterize the walleye population into ...

On Honey Bee Colony Dynamics And Disease Transmission, 2017 The University of Western Ontario

#### On Honey Bee Colony Dynamics And Disease Transmission, Matthew I. Betti

*Electronic Thesis and Dissertation Repository*

The work herein falls under the umbrella of mathematical modeling of disease transmission. The majority of this document focuses on the extent to which infection undermines the strength of a honey bee colony. These studies extend from simple mass-action ordinary differential equations models, to continuous age-structured partial differential equation models and finally a detailed agent-based model which accounts for vector transmission of infection between bees as well as a host of other influences and stressors on honey bee colony dynamics. These models offer a series of predictions relevant to the fate of honey bee colonies in the presence of disease ...

Cayley Graphs Of Groups And Their Applications, 2017 Missouri State University

#### Cayley Graphs Of Groups And Their Applications, Anna Tripi

*MSU Graduate Theses*

Cayley graphs are graphs associated to a group and a set of generators for that group (there is also an associated directed graph). The purpose of this study was to examine multiple examples of Cayley graphs through group theory, graph theory, and applications. We gave background material on groups and graphs and gave numerous examples of Cayley graphs and digraphs. This helped investigate the conjecture that the Cayley graph of any group (except Z_2) is hamiltonian. We found the conjecture to still be open. We found Cayley graphs and hamiltonian cycles could be applied to campanology (in particular, to the ...

Some Problems Arising From Mathematical Model Of Ductal Carcinoma In Situ., 2017 University of Louisville

#### Some Problems Arising From Mathematical Model Of Ductal Carcinoma In Situ., Heng Li

*Electronic Theses and Dissertations*

Ductal carcinoma in situ (DCIS) is the earliest form of breast cancer. Three mathematical models in the one dimensional case arising from DCIS are proposed. The first two models are in the form of parabolic equation with initial and known moving boundaries. Direct and inverse problems are considered in model 1, existence and uniqueness are proved by using tool from heat potential theory and Volterra integral equations. Also, we discuss the direct problem and nonlocal problem of model 2, existence and uniqueness are proved. And approximation solution of these problems are implemented by Ritz-Galerkin method, which is the first attempt ...