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Ordinary Differential Equations and Applied Dynamics Commons™
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- Ordinary differential equations (2)
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Articles 61 - 73 of 73
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
The Kinetics Of Type 1 Interferons During Influenza Virus Infection, Margaret A. Myers
The Kinetics Of Type 1 Interferons During Influenza Virus Infection, Margaret A. Myers
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Optimal Control Of Vaccination Rate In An Epidemiological Model Of Clostridium Difficile Transmission, Brittany Stephenson
Optimal Control Of Vaccination Rate In An Epidemiological Model Of Clostridium Difficile Transmission, Brittany Stephenson
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
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
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.
Using Mathematical Modeling To Unmask The Concealed Nature Of Long Qt-3 Syndrome, Steven Poelzing, Amara Greer-Short, Seth H. Weinberg
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.
Optimal Insecticide-Treated Bed-Net Coverage And Malaria Treatment In A Malaria-Hiv Co-Infection Model, Eric Numfor
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.
Using Predator Carrying Capacity For A Pathogenic Vector-Dynamic Differential Model, Rosahn P. Bhattarai
Using Predator Carrying Capacity For A Pathogenic Vector-Dynamic Differential Model, Rosahn P. Bhattarai
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
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.
A Mathematical Model Of The Spread Of Dengue Fever Incorporating Mobility, Kelly A. Reagan
A Mathematical Model Of The Spread Of Dengue Fever Incorporating Mobility, Kelly A. Reagan
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
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
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.
Can Including Time Delay In Epidemic Models Significantly Improve Predictions Concerning Intervention Strategies?, Adrienna N. Bingham, Leah Shaw
Can Including Time Delay In Epidemic Models Significantly Improve Predictions Concerning Intervention Strategies?, Adrienna N. Bingham, Leah Shaw
Biology and Medicine Through Mathematics Conference
No abstract provided.
Optimal Therapy Regimens For Treatment-Resistant Mutations Of Hiv, Weiqing Gu, Helen Moore
Optimal Therapy Regimens For Treatment-Resistant Mutations Of Hiv, Weiqing Gu, Helen Moore
All HMC Faculty Publications and Research
In this paper, we use control theory to determine optimal treatment regimens for HIV patients, taking into account treatment-resistant mutations of the virus. We perform optimal control analysis on a model developed previously for the dynamics of HIV with strains of various resistance to treatment (Moore and Gu, 2005). This model incorporates three types of resistance to treatments: strains that are not responsive to protease inhibitors, strains not responsive to reverse transcriptase inhibitors, and strains not responsive to either of these treatments. We solve for the optimal treatment regimens analytically and numerically. We find parameter regimes for which optimal dosing …
A Mathematical Model For Treatment-Resistant Mutations Of Hiv, Helen Moore, Weiqing Gu
A Mathematical Model For Treatment-Resistant Mutations Of Hiv, Helen Moore, Weiqing Gu
All HMC Faculty Publications and Research
In this paper, we propose and analyze a mathematical model, in the form of a system of ordinary differential equations, governing mutated strains of human immunodeficiency virus (HIV) and their interactions with the immune system and treatments. Our model incorporates two types of resistant mutations: strains that are not responsive to protease inhibitors, and strains that are not responsive to reverse transcriptase inhibitors. It also includes strains that do not have either of these two types of resistance (wild-type virus) and strains that have both types. We perform our analysis by changing the system of ordinary differential equations (ODEs) to …