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Ordinary Differential Equations and Applied Dynamics Commons

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412 Full-Text Articles 348 Authors 89195 Downloads 42 Institutions

All Articles in Ordinary Differential Equations and Applied Dynamics

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412 full-text articles. Page 1 of 15.

The Survival Probability Of Beneficial De Novo Mutations In Budding Viruses, With An Emphasis On Influenza A Viral Dynamics, Jennifer NS Reid 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, Jay Gopalakrishnan, Joseph E. Pasciak, Leszek Demkowicz 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, Qikai Huang (Bruce Wingo) 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, Stanca Ciupe, Christopher Miller, Jonathan Forde 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, Joon Ha, Arthur Sherman 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, Steven Poelzing, Amara Greer-Short, Seth H. Weinberg 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, Suzanne M. O'Regan, Jonathan Lillie, John M. Drake 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, Judy D. Day, Seddik M. Djouadi, Ouassim Bara, Gregory L. Zitelli 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, Eric Numfor 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, Renee Brady 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, Marcella Torres, Angela Reynolds 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, Imelda Trejo Lorenzo 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, Rosahn P. Bhattarai 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, Alexis White 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, Kelly A. Reagan 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, James R. Moore 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, Hildur Knutsdottir 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, Samantha Erwin, Meghna Verma, Vida Abedi, Raquel Hontecillas-Magarzo, Stefan Hoops, Josep Bassaganya-Riera, Stanca M. Ciupe 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, Erica M. Rutter, Yang Kuang 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, Sofya Zaytseva, Leah Shaw, Rom Lipcius, Junping Shi 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.


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