The Survival Probability Of Beneficial De Novo Mutations In Budding Viruses, With An Emphasis On Influenza A Viral Dynamics, 2016 The University of Western Ontario

#### The Survival Probability Of Beneficial De Novo Mutations In Budding Viruses, With An Emphasis On Influenza A Viral Dynamics, Jennifer Ns Reid

*Electronic Thesis and Dissertation Repository*

A deterministic model is developed of the within-host dynamics of a budding virus, and coupled with a detailed life-history model using a branching process approach to follow the fate of *de novo* beneficial mutations affecting five life-history traits: clearance, attachment, eclipse, budding, and cell death. Although the model can be generalized for any given budding virus, our work was done with a major emphasis on the early stages of infection with influenza A virus in human populations. The branching process was then interleaved with a stochastic process describing the disease transmission of this virus. These techniques allowed us to predict ...

Analysis Of A Multigrid Algorithm For Time Harmonic Maxwell Equations, 2016 Portland State University

#### Analysis Of A Multigrid Algorithm For Time Harmonic Maxwell Equations, Jay Gopalakrishnan, Joseph E. Pasciak, Leszek Demkowicz

*Jay Gopalakrishnan*

This paper considers a multigrid algorithm suitable for efficient solution of indefinite linear systems arising from finite element discretization of time harmonic Maxwell equations. In particular, a "backslash" multigrid cycle is proven to converge at rates independent of refinement level if certain indefinite block smoothers are used. The method of analysis involves comparing the multigrid error reduction operator with that of a related positive definite multigrid operator. This idea has previously been used in multigrid analysis of indefinite second order elliptic problems. However, the Maxwell application involves a nonelliptic indefinite operator. With the help of a few new estimates, the ...

Mathematical Modeling Of Quadcopter Dynamics, 2016 Rose-Hulman Institute of Technology

#### Mathematical Modeling Of Quadcopter Dynamics, Qikai Huang (Bruce Wingo)

*Mathematical Sciences Technical Reports (MSTR)*

Recently, Google, Amazon and others are attempting to develop delivery drones for commercial use, in particular Amazon Prime Air promising 30 minute delivery. One type of commonly used drone proposed for such purposes is a quadcopter. Quadcopters have been around for some time with original development in the 1920’s. They are popular now because they are mechanically simple and provide a good vehicle for unmanned flight. By controlling the speed of the four propellers, a quadcopter can roll, change pitch, change yaw, and accelerate. This research will focus on the study of classical mechanics theories on rigid body motion ...

A Bi-Stable Switch In Virus Dynamics Can Explain The Differences In Disease Outcome Following Siv Infections In Rhesus Macaques, 2016 Virginia Tech

#### A Bi-Stable Switch In Virus Dynamics Can Explain The Differences In Disease Outcome Following Siv Infections In Rhesus Macaques, Stanca Ciupe, Christopher Miller, Jonathan Forde

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

A Unified Model Of Pathogenesis Pathways Of Type 2 Diabetes, 2016 National Institutes of Health

#### A Unified Model Of Pathogenesis Pathways Of Type 2 Diabetes, Joon Ha, Arthur Sherman

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Using Mathematical Modeling To Unmask The Concealed Nature Of Long Qt-3 Syndrome, 2016 Virginia Tech

#### Using Mathematical Modeling To Unmask The Concealed Nature Of Long Qt-3 Syndrome, Steven Poelzing, Amara Greer-Short, Seth H. Weinberg

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Anticipating Elimination Of Mosquito-Borne Diseases, 2016 National Institute of Mathematical and Biological Synthesis (NIMBioS)

#### Anticipating Elimination Of Mosquito-Borne Diseases, Suzanne M. O'Regan, Jonathan Lillie, John M. Drake

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Toward Adaptive Control Of Acute Inflammation, 2016 The University of Tennessee, Knoxville

#### Toward Adaptive Control Of Acute Inflammation, Judy D. Day, Seddik M. Djouadi, Ouassim Bara, Gregory L. Zitelli

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Optimal Insecticide-Treated Bed-Net Coverage And Malaria Treatment In A Malaria-Hiv Co-Infection Model, 2016 Augusta University

#### Optimal Insecticide-Treated Bed-Net Coverage And Malaria Treatment In A Malaria-Hiv Co-Infection Model, Eric Numfor

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Mathematical Modeling Of Endotoxin-Induced Inflammation In Young Men, 2016 North Carolina State University at Raleigh

#### Mathematical Modeling Of Endotoxin-Induced Inflammation In Young Men, Renee Brady

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

A Comparison Of Obesity Interventions Using Energy Balance Models, 2016 Virginia Commonwealth University

#### A Comparison Of Obesity Interventions Using Energy Balance Models, Marcella Torres, Angela Reynolds

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Modeling The Effects Of The Immune System On The Fracture Healing Process, 2016 University of Texas at Arlington

#### Modeling The Effects Of The Immune System On The Fracture Healing Process, Imelda Trejo Lorenzo

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Using Predator Carrying Capacity For A Pathogenic Vector-Dynamic Differential Model, 2016 Georgia State University

#### Using Predator Carrying Capacity For A Pathogenic Vector-Dynamic Differential Model, Rosahn P. Bhattarai

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Dynamics Of Two Pathogens In A Single Tick Population, 2016 Old Dominion University

#### Dynamics Of Two Pathogens In A Single Tick Population, Alexis White

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

A Mathematical Model Of The Spread Of Dengue Fever Incorporating Mobility, 2016 Elon University

#### A Mathematical Model Of The Spread Of Dengue Fever Incorporating Mobility, Kelly A. Reagan

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Heterogeneous Responses To Viral Infection: Insights From Mathematical Modeling Of Yellow Fever Vaccine, 2016 Emory University

#### Heterogeneous Responses To Viral Infection: Insights From Mathematical Modeling Of Yellow Fever Vaccine, James R. Moore

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Modelling The Polarization, Migration And Neuromast Deposition In The Zebrafish Posterior Lateral Line System, 2016 University of British Columbia

#### Modelling The Polarization, Migration And Neuromast Deposition In The Zebrafish Posterior Lateral Line System, Hildur Knutsdottir

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Mathematical Models Of Hiv And Hpv Coinfection, 2016 Virginia Polytechnic Institute and State University

#### Mathematical Models Of Hiv And Hpv Coinfection, Samantha Erwin, Meghna Verma, Vida Abedi, Raquel Hontecillas-Magarzo, Stefan Hoops, Josep Bassaganya-Riera, Stanca M. Ciupe

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Global Dynamics Of A Model Of Joint Hormone Treatment With Dendritic Cell Vaccine For Prostate Cancer, 2016 Arizona State University at the Tempe Campus

#### Global Dynamics Of A Model Of Joint Hormone Treatment With Dendritic Cell Vaccine For Prostate Cancer, Erica M. Rutter, Yang Kuang

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Spatial Patterning In The York River Tidal Marshes Through The Interaction Of Cordgrass, Mussels And Sediment, 2016 College of William and Mary

#### Spatial Patterning In The York River Tidal Marshes Through The Interaction Of Cordgrass, Mussels And Sediment, Sofya Zaytseva, Leah Shaw, Rom Lipcius, Junping Shi

*Biology and Medicine Through Mathematics Conference*

No abstract provided.