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 ...

Mathematical Description And Mechanistic Reasoning: A Pathway Toward Stem Integration, 2017 Oakland University

#### Mathematical Description And Mechanistic Reasoning: A Pathway Toward Stem Integration, Paul J. Weinberg

*Journal of Pre-College Engineering Education Research (J-PEER)*

Because reasoning about mechanism is critical to disciplined inquiry in science, technology, engineering, and mathematics (STEM) domains, this study focuses on ways to support the development of this form of reasoning. This study attends to how mechanistic reasoning is constituted through mathematical description. This study draws upon Smith’s (2007) characterization of mathematical description of scientific phenomena as ‘‘bootstrapping,’’ where negotiating the relationship between target phenomena and represented relations is fundamental to learning. In addition, the development of mathematical representation presents a viable pathway towards STEM integration. In this study, participants responded to an assessment of mechanistic reasoning while cognitive ...

Shrinkage Function And Its Applications In Matrix Approximation, 2017 University of Florida, Gainesville

#### Shrinkage Function And Its Applications In Matrix Approximation, Toby Boas, Aritra Dutta, Xin Li, Katie Mercier, Eric Niderman

*Electronic Journal of Linear Algebra*

The shrinkage function is widely used in matrix low-rank approximation, compressive sensing, and statistical estimation. In this article, an elementary derivation of the shrinkage function is given. In addition, applications of the shrinkage function are demonstrated in solving several well-known problems, together with a new result in matrix approximation.

Rainbow Copies Of C4 In Edge-Colored Hypercubes, 2017 University of Illinois at Urbana-Champaign

#### Rainbow Copies Of C4 In Edge-Colored Hypercubes, József Balogh, Michelle Delcourt, Bernard Lidický, Cory Palmer

*Bernard Lidický*

For positive integers k and d such that 4≤k4in a k-edge-coloring of the d-dimensional hypercube Qd. Interestingly, the k-edge-colorings of Qd yielding the maximum number of rainbow copies of C4 also have the property that every copy of C4 which is not rainbow is monochromatic.

Uncovering Functional Relationships In Leukemia, 2017 Mathematical Biosciences Institute

#### Uncovering Functional Relationships In Leukemia, Reginald Mcgee

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

On The Analysis Of The Sir Epidemic Model For Small Networks: An Application In Hospital Settings, 2017 University of Leeds

#### On The Analysis Of The Sir Epidemic Model For Small Networks: An Application In Hospital Settings, Martin Lopez-Garcia

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

A Single Shape From Multiple Cues: How Local And Global Information Organizes Shape Inference, 2017 Brown University

#### A Single Shape From Multiple Cues: How Local And Global Information Organizes Shape Inference, Benjamin Kunsberg, Steven W. Zucker

*MODVIS Workshop*

No abstract provided.

Evolution Of Influenza H3n2: A Random Walk In High Dimensions, 2017 Emory University

#### Evolution Of Influenza H3n2: A Random Walk In High Dimensions, James R. Moore

*Biology and Medicine Through Mathematics Conference*

No abstract provided.