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Ordinary Differential Equations and Applied Dynamics Commons™
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Articles 151 - 180 of 209
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Mathematical Modeling In Precalculus, Calculus I, And Modeling Courses, Megan Buzby
Mathematical Modeling In Precalculus, Calculus I, And Modeling Courses, Megan Buzby
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Transient Dynamics Of Infection Transmission In An Intensive Care Unit, Christopher Short, Matthew S. Mietchen, Eric T. Lofgren
Transient Dynamics Of Infection Transmission In An Intensive Care Unit, Christopher Short, Matthew S. Mietchen, Eric T. Lofgren
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Model Of Disease Vector Control With Imperfect Treatment, Bismark Oduro
A Model Of Disease Vector Control With Imperfect Treatment, Bismark Oduro
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling Collective Migration Of Neural Crest Cells With A Cucker-Smale Velocity Alignment Process, Claire Evensen
Modeling Collective Migration Of Neural Crest Cells With A Cucker-Smale Velocity Alignment Process, Claire Evensen
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Blood Glucose Regulation: Putting The Pieces Together, Benjamin Zwiener, Margaret Watts
Blood Glucose Regulation: Putting The Pieces Together, Benjamin Zwiener, Margaret Watts
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Improving Parasite Transmission Parameters For A Mathematical Model Of Swimmer's Itch Through Both Empirical And Analytical Techniques, Josey Sorenson
Improving Parasite Transmission Parameters For A Mathematical Model Of Swimmer's Itch Through Both Empirical And Analytical Techniques, Josey Sorenson
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mathematical Modeling, Analysis, Simulation Of The Opioid Crisis With Prescription And Social Drug Addiction Models, Kirthi Kumar
Mathematical Modeling, Analysis, Simulation Of The Opioid Crisis With Prescription And Social Drug Addiction Models, Kirthi Kumar
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Sir Modeling Of American Chestnut Blight, Tatum Rask
Sir Modeling Of American Chestnut Blight, Tatum Rask
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Cure: A Mathematical Model Of Suicide Risk Among Us Veterans, Anna Singley, Ruth Olson, Sydney Adams, Hannah Callender Highlander
Cure: A Mathematical Model Of Suicide Risk Among Us Veterans, Anna Singley, Ruth Olson, Sydney Adams, Hannah Callender Highlander
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Multidisciplinary Education And Research In Biomathematics For Solving Global Challenges, Padmanabhan Seshaiyer
Multidisciplinary Education And Research In Biomathematics For Solving Global Challenges, Padmanabhan Seshaiyer
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Combating Tuberculosis: Using Time-Dependent Sensitivity Analysis To Develop Strategies For Treatment And Prevention, Kendall B. Clark, Mayleen Cortez, Cristian Hernandez, Beth E. Thomas, Allison L. Lewis
Combating Tuberculosis: Using Time-Dependent Sensitivity Analysis To Develop Strategies For Treatment And Prevention, Kendall B. Clark, Mayleen Cortez, Cristian Hernandez, Beth E. Thomas, Allison L. Lewis
Spora: A Journal of Biomathematics
Although many organizations throughout the world have worked tirelessly to control tuberculosis (TB) epidemics, no country has yet been able to eradicate the disease completely. We present two compartmental models representing the spread of a TB epidemic through a population. The first is a general TB model; the second is an adaptation for regions in which HIV is prevalent, accounting for the effects of TB/HIV co-infection. Using active subspaces, we conduct time-dependent sensitivity analysis on both models to explore the significance of certain parameters with respect to the spread of TB. We use the results of this sensitivity analysis to …
A Mathematical Model Of The Inflammatory Response To Pathogen Challenge, Lester Caudill, Fiona Lynch
A Mathematical Model Of The Inflammatory Response To Pathogen Challenge, Lester Caudill, Fiona Lynch
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling The Transmission Of Wolbachia In Mosquitoes For Controlling Mosquito-Borne Diseases, Zhuolin Qu
Modeling The Transmission Of Wolbachia In Mosquitoes For Controlling Mosquito-Borne Diseases, Zhuolin Qu
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Calcium Signaling In The Sperm Head, Julie Simons, Lisa Fauci
Calcium Signaling In The Sperm Head, Julie Simons, Lisa Fauci
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Combinatorial Geometry Of Threshold-Linear Networks, Christopher Langdon
Combinatorial Geometry Of Threshold-Linear Networks, Christopher Langdon
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
The Regressive Burden Of Water-Related Infections On Income Disparity In Ecuador, Cesar Montalvo
The Regressive Burden Of Water-Related Infections On Income Disparity In Ecuador, Cesar Montalvo
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Dynamics Of A Stoichiometric Producer-Grazer System With Seasonal Effects On Light Level, Lale Asik
Dynamics Of A Stoichiometric Producer-Grazer System With Seasonal Effects On Light Level, Lale Asik
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Introducing The Fractional Differentiation For Clinical Data-Justified Prostate Cancer Modelling Under Iad Therapy, Ozlem Ozturk Mizrak
Introducing The Fractional Differentiation For Clinical Data-Justified Prostate Cancer Modelling Under Iad Therapy, Ozlem Ozturk Mizrak
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Implications From Two Prostate Cancer Models For Intermittent Therapy, Tin Phan
Implications From Two Prostate Cancer Models For Intermittent Therapy, Tin Phan
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mathematical Modeling And Simulation With Deep Learning Methods Of Cancer Growth For Patient-Specific Therapy, Vishal Kobla, Joshua P. Smith, Pranav Unni, Padmanabhan Seshaiyer
Mathematical Modeling And Simulation With Deep Learning Methods Of Cancer Growth For Patient-Specific Therapy, Vishal Kobla, Joshua P. Smith, Pranav Unni, Padmanabhan Seshaiyer
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling The Dynamics Of Lyme Disease In A Tick-Mouse System Subject To Vaccination Of Mice Populations, Josean Velazquez-Molina
Modeling The Dynamics Of Lyme Disease In A Tick-Mouse System Subject To Vaccination Of Mice Populations, Josean Velazquez-Molina
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Tumour-Immune Dynamics With An Immune Checkpoint Inhibitor, Elpiniki Nikolopoulou
Tumour-Immune Dynamics With An Immune Checkpoint Inhibitor, Elpiniki Nikolopoulou
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Household Model Of German Cockroach Infestations And Their Effect On Symptoms Of Atopic Asthma, Karen Funderburk
A Household Model Of German Cockroach Infestations And Their Effect On Symptoms Of Atopic Asthma, Karen Funderburk
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Parameter Sensitivity For In Vitro Anthrax Studies, Yareley Gonzalez, Maria Macias-Bedolla, Megan O. Powell
Parameter Sensitivity For In Vitro Anthrax Studies, Yareley Gonzalez, Maria Macias-Bedolla, Megan O. Powell
Spora: A Journal of Biomathematics
Studies done on interactions between spores and macrophages done in vitro show inconsistent results based on experimental protocol and inhibit meaningful extrapolation to in vivo. In this study, we perform a sensitivity analysis of a model representing in vitro studies of interactions between anthrax spores and macrophages to help address the effects of these inconsistencies. We perform both local and global analyses using Latin hypercube sampling and partial rank correlation coefficients. Our analysis indicates the amount of intracellular bacteria over time is most sensitive to the killing of intracellular bacteria by the macrophages and replication of the bacteria inside …
Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, Ami Radunskaya, Ruby Kim, Timothy Woods Ii
Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, Ami Radunskaya, Ruby Kim, Timothy Woods Ii
Spora: A Journal of Biomathematics
Monoclonal antibodies have shown promising results as a form of cancer immunotherapy used either alone or in combination with another treatment. We model a monoclonal antibody in combination with a dendritic cell (DC) vaccine in order to study treatment optimization. Certain proteins on tumor cells allow the tumor cells to bind to specific receptors on immune cells, rendering the immune cells ineffective. Experiments using mouse models show that a combination of antibodies to these proteins with tumor suppressing drugs improves the effectiveness of cancer vaccines. We create independent models of each of the two treatments in combination with DC therapy, …
Modeling Mayfly Nymph Length Distribution And Population Dynamics Across A Gradient Of Stream Temperatures And Stream Types, Jeremy Anthony, Jennifer Baccam, Imanuel Bier, Emily Gregg, Leif Halverson, Ryan Mulcahy, Emmanuel Okanla, Samira A. Osman, Adam R. Pancoast, Kevin C. Schultz, Alex Sushko, Jennifer Vorarath, Yia Vue, Austin Wagner, Emily Gaenzle Schilling, John M. Zobitz
Modeling Mayfly Nymph Length Distribution And Population Dynamics Across A Gradient Of Stream Temperatures And Stream Types, Jeremy Anthony, Jennifer Baccam, Imanuel Bier, Emily Gregg, Leif Halverson, Ryan Mulcahy, Emmanuel Okanla, Samira A. Osman, Adam R. Pancoast, Kevin C. Schultz, Alex Sushko, Jennifer Vorarath, Yia Vue, Austin Wagner, Emily Gaenzle Schilling, John M. Zobitz
Spora: A Journal of Biomathematics
We analyze a process-based temperature model for the length distribution and population over time of mayfly nymphs. Model parameters are estimated using a Markov Chain Monte Carlo parameter estimation method utilizing length distribution data at five different stream sites. Two different models (a standard exponential model and a modified Weibull model) of mayfly mortality are evaluated, where in both cases mayfly length growth is a function of stream temperature. Based on model-data comparisons to the modeled length distribution and the Bayesian Information Criterion, we found that approaches that length distribution data can reliably estimate 2–3 model parameters. Future model development …
Stochastic Analysis Of A Mammalian Circadian Clock Model: Small Protein Number Effects, David W. Morgens, Blerta Shtylla
Stochastic Analysis Of A Mammalian Circadian Clock Model: Small Protein Number Effects, David W. Morgens, Blerta Shtylla
Spora: A Journal of Biomathematics
The circadian clock, responsible for coordinating organism function with daily and seasonal changes in the day-night cycle, is controlled by a complex protein network that constitutes a robust biochemical oscillator. Deterministic ordinary differential equation models have been used extensively to model the behavior of these central clocks. However, due to the small number of proteins involved in the circadian oscillations, mathematical models that track stochastic variations in the numbers of clock proteins may reveal more complex and biologically relevant behaviors. In this paper, we compare the response of a robust yet detailed deterministic model for the mammalian circadian clock with …
Age-Structured And Vaccination Models Of Devil Facial Tumor Disease, Christopher D. Bruno, Timothy Comar, Megan O. Powell, Adjo Tameklo
Age-Structured And Vaccination Models Of Devil Facial Tumor Disease, Christopher D. Bruno, Timothy Comar, Megan O. Powell, Adjo Tameklo
Spora: A Journal of Biomathematics
Tasmanian devil populations have been devastated by devil facial tumor disease (DFTD) since its first appearance in 1996. The average lifespan of a devil has decreased from six years to three years. We present an age-structured model to represent how the disease has affected the age and breeding structures of the population. We show that with the recent increase in the breeding of juvenile devils, the overall devil population will increase but not nearly to pre-DFTD levels. The basic reproductive number may be increased with the influx of young breeding devils. In addition, our model shows that the release of …
Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, Timothy Woods Ii
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.
The Dynamics Of An Epidemiological Model For Human Papillomavirus With Partial Vaccination In A Heterogeneous Population, Stefano Chiaradonna
The Dynamics Of An Epidemiological Model For Human Papillomavirus With Partial Vaccination In A Heterogeneous Population, Stefano Chiaradonna
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.