Open Access. Powered by Scholars. Published by Universities.®
Ordinary Differential Equations and Applied Dynamics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Institution
-
- Illinois State University (59)
- Virginia Commonwealth University (56)
- Claremont Colleges (3)
- Embry-Riddle Aeronautical University (3)
- Prairie View A&M University (3)
-
- Duquesne University (2)
- The Texas Medical Center Library (2)
- Brigham Young University (1)
- City University of New York (CUNY) (1)
- East Tennessee State University (1)
- Kennesaw State University (1)
- Mathematical Modelling and Numerical Simulation with Applications (1)
- Montclair State University (1)
- Old Dominion University (1)
- Rose-Hulman Institute of Technology (1)
- Technological University Dublin (1)
- University of Rhode Island (1)
- University of Texas at Arlington (1)
- Western Kentucky University (1)
- Keyword
-
- Epidemiology (25)
- Medicine (21)
- Other (8)
- Ecology (4)
- Ordinary differential equations (4)
-
- Differential equations (3)
- Simulation (3)
- COVID-19 (2)
- Cholera (2)
- HIV (2)
- Human immunodeficiency virus (2)
- Mathematical modeling (2)
- Mathematical modelling (2)
- Parameter estimation (2)
- Stability (2)
- T cells (2)
- Treatment-resistant mutations (2)
- AIDS (1)
- Adaptive Therapy (1)
- Aedes aegypti (1)
- Agent-based model surrogate (1)
- Antiretroviral Therapy (1)
- Antiretroviral therapy (1)
- Asthma (1)
- Beta cell mass (1)
- Biological modeling (1)
- Biomathematics (1)
- Blood sugar levels (1)
- CFIR (1)
- COVID-19 Dynamics with Subpopulations and Implicit Behavior Using PINNs (1)
- Publication Year
- Publication
-
- Biology and Medicine Through Mathematics Conference (56)
- Annual Symposium on Biomathematics and Ecology Education and Research (51)
- Spora: A Journal of Biomathematics (7)
- Applications and Applied Mathematics: An International Journal (AAM) (3)
- All HMC Faculty Publications and Research (2)
-
- Discovery Day - Daytona Beach (2)
- Dissertations and Theses (Open Access) (2)
- Undergraduate Research and Scholarship Symposium (2)
- Biological Sciences Faculty Publications (1)
- CODEE Journal (1)
- Dissertations (1)
- Electronic Theses and Dissertations (1)
- Journal of Nonprofit Innovation (1)
- Masters Theses & Specialist Projects (1)
- Mathematical Modelling and Numerical Simulation with Applications (1)
- Mathematics Dissertations - Archive (1)
- Open Educational Resources (1)
- Publications (1)
- Rose-Hulman Undergraduate Mathematics Journal (1)
- SURE Journal: Science Undergraduate Research Experience Journal (1)
- Senior Honors Projects (1)
- Theses and Dissertations (1)
- Theses, Dissertations and Culminating Projects (1)
- Publication Type
Articles 121 - 140 of 140
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.
Mathematical Modeling Of Vaccine Noncompliance, Jordan A. Bauer
Mathematical Modeling Of Vaccine Noncompliance, Jordan A. Bauer
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.
Dynamics Of Two Pathogens In A Single Tick Population, Alexis White
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
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.
Mathematical Analysis And Simulations Involving Chemotherapy And Surgery On Large Human Tumours Under A Suitable Cell-Kill Functional Response, Diego S. Rodrigues
Mathematical Analysis And Simulations Involving Chemotherapy And Surgery On Large Human Tumours Under A Suitable Cell-Kill Functional Response, Diego S. Rodrigues
Biology and Medicine Through Mathematics Conference
No abstract provided.
General Models For Ecological Drivers Of Poverty, Calistus Ngeh Ngonghala
General Models For Ecological Drivers Of Poverty, Calistus Ngeh Ngonghala
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Mathematical Model For Dengue Fever In A Virgin Environment, Jason K. Bowman
A Mathematical Model For Dengue Fever In A Virgin Environment, Jason K. Bowman
Senior Honors Projects
Dengue is a mosquito-borne viral infection found in tropical and subtropical regions around the world. The disease was named in 1779 and the first recorded epidemic of it occurred simultaneously on three continents within the following decade. Dengue is characterized by flu-like symptoms and, while its symptoms are generally reported as quite unpleasant, is rarely fatal. However, in some cases patients can contract a more serious form of the disease, known as Dengue Hemorrhagic Fever, which is far more dangerous. The World Health Organization estimates that today over 2.5 billion people are at risk for Dengue (over 40% of the …
Modelling Β2ar Regulation, Sharat J. Vayttaden
Modelling Β2ar Regulation, Sharat J. Vayttaden
Dissertations and Theses (Open Access)
The β2 adrenergic receptor (β2AR) regulates smooth muscle relaxation in the vasculature and airways. Long- and Short-acting β-agonists (LABAs/SABAs) are widely used in treatment of chronic obstructive pulmonary disorder (COPD) and asthma. Despite their widespread clinical use we do not understand well the dominant β2AR regulatory pathways that are stimulated during therapy and bring about tachyphylaxis, which is the loss of drug effects. Thus, an understanding of how the β2AR responds to various β-agonists is crucial to their rational use. Towards that end we have developed deterministic models that explore the mechanism of drug- induced β2AR regulation. These mathematical models …
Models Of Phototransduction In Rod Photoreceptors, Harihar Khanal, Vasilios Alexiades
Models Of Phototransduction In Rod Photoreceptors, Harihar Khanal, Vasilios Alexiades
Publications
Phototransduction is the process by which photons of light generate an electrical response in retinal rod and cone photoreceptors, thereby initiating vision. We compare the electrical response in salamander rods from increasingly more (spacialy) detailed models of phototransduction: 0-dimensional (bulk), 1-dimensional (longitudinal), 2-dimensional (axisymmetric), and 3-dimensional (with incisures). We discuss issues of finding physical parameters for simulation and validation of models, and also present some computational experiments for rods with geometry of mouse and human photoreceptors.
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 …