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Modeling The Dynamics Of Alcohol-Marijuana Co-Abuse In Virginia, Ana L. Vivas-Barber, James Tipton, Sujan Pant, Anne Fernando May 2023

Modeling The Dynamics Of Alcohol-Marijuana Co-Abuse In Virginia, Ana L. Vivas-Barber, James Tipton, Sujan Pant, Anne Fernando

Biology and Medicine Through Mathematics Conference

No abstract provided.


Relative Efficacy Of Resource Constrained Forward And Backward Contact Tracing In An Open Population, Nicholas Roberts May 2023

Relative Efficacy Of Resource Constrained Forward And Backward Contact Tracing In An Open Population, Nicholas Roberts

Biology and Medicine Through Mathematics Conference

No abstract provided.


Switching Between Synchronization And Desynchronization In Islets With Coupled Heterogenous Beta Cells: Finding Switch Cells, Zainab Almutawa May 2023

Switching Between Synchronization And Desynchronization In Islets With Coupled Heterogenous Beta Cells: Finding Switch Cells, Zainab Almutawa

Biology and Medicine Through Mathematics Conference

No abstract provided.


Simulation And Latin Hypercube Sampling Of Mixed-Time Models In A Consumer-Resource Relationship, Boluwatife E. Awoyemi, Amanda N. Laubmeier, Richard L. Rebarber May 2023

Simulation And Latin Hypercube Sampling Of Mixed-Time Models In A Consumer-Resource Relationship, Boluwatife E. Awoyemi, Amanda N. Laubmeier, Richard L. Rebarber

Biology and Medicine Through Mathematics Conference

No abstract provided.


Pde Model For Protocell Evolution And The Origin Of Chromosomes Via Multilevel Selection, Daniel B. Cooney, Fernando W. Rossine, Dylan H. Morris, Simon A. Levin May 2023

Pde Model For Protocell Evolution And The Origin Of Chromosomes Via Multilevel Selection, Daniel B. Cooney, Fernando W. Rossine, Dylan H. Morris, Simon A. Levin

Biology and Medicine Through Mathematics Conference

No abstract provided.


Reaction-Diffusion System On Irregular Boundaries Reproduces Multiple Generations Of Petal Spot Patterns In Monkeyflower Hybrids, Emily Simmons May 2023

Reaction-Diffusion System On Irregular Boundaries Reproduces Multiple Generations Of Petal Spot Patterns In Monkeyflower Hybrids, Emily Simmons

Biology and Medicine Through Mathematics Conference

No abstract provided.


A Mathematical Model For Wound Healing In Reef-Building Coral Pocillopora Damicornis, Quintessa Hay, Luke Gardner, Eunice Pak, Liza M. Roger, Rebecca A. Segal, Anna Shaw, Nastassja A. Lewinski, Angela M. Reynolds May 2023

A Mathematical Model For Wound Healing In Reef-Building Coral Pocillopora Damicornis, Quintessa Hay, Luke Gardner, Eunice Pak, Liza M. Roger, Rebecca A. Segal, Anna Shaw, Nastassja A. Lewinski, Angela M. Reynolds

Biology and Medicine Through Mathematics Conference

No abstract provided.


Helices In Fluids And Their Applications, Eva M. Strawbridge May 2023

Helices In Fluids And Their Applications, Eva M. Strawbridge

Biology and Medicine Through Mathematics Conference

No abstract provided.


Effects Of Slip On Highly Viscous Thin-Film Flows Inside Vertical Tubes (Constant Radius, Constricted And Flexible), Mark S. Schwitzerlett Jan 2023

Effects Of Slip On Highly Viscous Thin-Film Flows Inside Vertical Tubes (Constant Radius, Constricted And Flexible), Mark S. Schwitzerlett

Theses and Dissertations

Viscous liquid film flows in a tube arise in numerous industrial and biological applications, including the transport of mucus in human airways. Previous modeling studies have typically used no-slip boundary conditions, but in some applications the effects of slip at the boundary may not be negligible. We derive a long-wave model based on lubrication theory which allows for slippage along the boundary. Linear stability analysis verifies the impact of slip-length on the speed, growth rate, and wavelength of the most unstable mode. Nonlinear simulations demonstrate the impact of slip-length on plug formation and wave dynamics. These simulations are conducted for …


Early Termination In Phase Ii Clinical Trials: Admissible Designs Using Decreasingly Informative Priors, Chen Wang Jan 2023

Early Termination In Phase Ii Clinical Trials: Admissible Designs Using Decreasingly Informative Priors, Chen Wang

Theses and Dissertations

In Phase II clinical trials, Thall and Simon’s Bayesian posterior probability design is commonly implemented to allow for an early termination to determine whether a new treatment warrants further investigation in a larger-scale Phase III trial; this in turn requires a pre-selected prior distribution based on known clinical opinion or historical information. Moreover, this Bayesian approach can result in an issue of inflating type I error rate by monitoring interim data to inform early termination decisions. Alternatively, a Bayesian approach with the decreasingly informative prior (DIP), which is an informative yet skeptical prior, can be implemented to overcome the contentious …


Innovations In Drop Shape Analysis Using Deep Learning And Solving The Young-Laplace Equation For An Axisymmetric Pendant Drop, Andres P. Hyer Jan 2023

Innovations In Drop Shape Analysis Using Deep Learning And Solving The Young-Laplace Equation For An Axisymmetric Pendant Drop, Andres P. Hyer

Theses and Dissertations

Axisymmetric Drop Shape Analysis (ADSA) is a technique commonly used to determine surface or interfacial tension. Applications of traditional ASDA methods to process analytical technologies are limited by computational speed and image quality. Here, we address these limitations using a novel machine learning approach to analysis. With a convolutional neural network (CNN), we were able to achieve an experimental fit precision of (+/-) 0.122 mN/m in predicting the surface tension of drop images at a rate of 1.5 ms^-1 versus 7.7 s^-1, which is more than 5,000 times faster than the traditional method. The results are validated on real images …


Universality And Synchronization In Complex Quadratic Networks (Cqns), Anca R. Radulescu, Danae Evans May 2022

Universality And Synchronization In Complex Quadratic Networks (Cqns), Anca R. Radulescu, Danae Evans

Biology and Medicine Through Mathematics Conference

No abstract provided.


Epidemiological Assessment Of Wolbachia-Based Biocontrol For Reduction Of Dengue Morbidity, Olga Vasilieva, Oscar E. Escobar, Hector J. Martinez, Pierre-Alexandre Bliman, Yves Dumont May 2022

Epidemiological Assessment Of Wolbachia-Based Biocontrol For Reduction Of Dengue Morbidity, Olga Vasilieva, Oscar E. Escobar, Hector J. Martinez, Pierre-Alexandre Bliman, Yves Dumont

Biology and Medicine Through Mathematics Conference

No abstract provided.


2d Spatio-Temporal Patterns In Coupled Phase Oscillators: Spiral Waves And Chimeras, Yujie Ding, Bard Ermentrout May 2022

2d Spatio-Temporal Patterns In Coupled Phase Oscillators: Spiral Waves And Chimeras, Yujie Ding, Bard Ermentrout

Biology and Medicine Through Mathematics Conference

No abstract provided.


Understanding Biofilm-Phage Interactions In Mathematical Framework, Blessing Emerenini May 2022

Understanding Biofilm-Phage Interactions In Mathematical Framework, Blessing Emerenini

Biology and Medicine Through Mathematics Conference

No abstract provided.


Optimal Design Of Bacterial Carpets For Fluid Pumping, Minghao W. Rostami, Weifan Liu, Amy Buchmann, Eva Strawbridge, Longhua Zhao May 2022

Optimal Design Of Bacterial Carpets For Fluid Pumping, Minghao W. Rostami, Weifan Liu, Amy Buchmann, Eva Strawbridge, Longhua Zhao

Biology and Medicine Through Mathematics Conference

No abstract provided.


Optimal Intervention Strategies To Minimize Spread Of Infectious Diseases And Economic Impact On A Dynamic Small-World Network, Malindi Whyte, Danielle Dasilva May 2022

Optimal Intervention Strategies To Minimize Spread Of Infectious Diseases And Economic Impact On A Dynamic Small-World Network, Malindi Whyte, Danielle Dasilva

Biology and Medicine Through Mathematics Conference

No abstract provided.


A Triphasic Physiologically Based Pharmacokinetic Model Of Vitamin D3 And Metabolites In Vitamin D Insufficient Patients, Colton W. Sawyer, Stacey M. Tuey, Raymond E. West Iii, Thomas D. Nolin, Melanie S. Joy May 2022

A Triphasic Physiologically Based Pharmacokinetic Model Of Vitamin D3 And Metabolites In Vitamin D Insufficient Patients, Colton W. Sawyer, Stacey M. Tuey, Raymond E. West Iii, Thomas D. Nolin, Melanie S. Joy

Biology and Medicine Through Mathematics Conference

No abstract provided.


De-Coupling Cell-Autonomous And Non-Cell-Autonomous Fitness Effects Allows Solution Of The Fokker-Planck Equation For The Evolution Of Interacting Populations, Steph J. Owen May 2022

De-Coupling Cell-Autonomous And Non-Cell-Autonomous Fitness Effects Allows Solution Of The Fokker-Planck Equation For The Evolution Of Interacting Populations, Steph J. Owen

Biology and Medicine Through Mathematics Conference

No abstract provided.


Bioeconomic Analysis In A Predator-Prey System With Harvesting: A Case Study In The Chesapeake Bay Fisheries, Iordanka Panayotova, Maila Hallare May 2022

Bioeconomic Analysis In A Predator-Prey System With Harvesting: A Case Study In The Chesapeake Bay Fisheries, Iordanka Panayotova, Maila Hallare

Biology and Medicine Through Mathematics Conference

No abstract provided.


Modeling The Spread Of Sars-Cov-2 Inside The Human Respiratory Tract: A Parameter Sensitivity Study, Jason Pearson May 2022

Modeling The Spread Of Sars-Cov-2 Inside The Human Respiratory Tract: A Parameter Sensitivity Study, Jason Pearson

Biology and Medicine Through Mathematics Conference

No abstract provided.


Genetically Explicit Model May Explain Multigenerational Control Of Emergent Turing Patterns In Hybrid Mimulus, Emily Simmons May 2022

Genetically Explicit Model May Explain Multigenerational Control Of Emergent Turing Patterns In Hybrid Mimulus, Emily Simmons

Biology and Medicine Through Mathematics Conference

No abstract provided.


Spatial Patterning Of Predator-Prey Distributions Arising From Prey Defense, Evan C. Haskell, Jonathan Bell May 2022

Spatial Patterning Of Predator-Prey Distributions Arising From Prey Defense, Evan C. Haskell, Jonathan Bell

Biology and Medicine Through Mathematics Conference

No abstract provided.


Thoracoabdominal Asynchrony In A Virtual Preterm Infant: Computational Modeling And Analysis, Richard R. Foster, Laura Ellwein Fix May 2022

Thoracoabdominal Asynchrony In A Virtual Preterm Infant: Computational Modeling And Analysis, Richard R. Foster, Laura Ellwein Fix

Biology and Medicine Through Mathematics Conference

No abstract provided.


Mathematical Model Of Immune-Inflammatory Response In Covid-19 Patients, Quiyana M. Murphy May 2022

Mathematical Model Of Immune-Inflammatory Response In Covid-19 Patients, Quiyana M. Murphy

Biology and Medicine Through Mathematics Conference

No abstract provided.


Mathematical Model Of Zika Epidemic In Colombia, Sethupathy Ganesan May 2022

Mathematical Model Of Zika Epidemic In Colombia, Sethupathy Ganesan

Biology and Medicine Through Mathematics Conference

No abstract provided.


An Ode Model For Predicting Pediatric Patient Pain In Scd Based On Patient Sleep Data, Quindel Jones, Rebecca Segal, Angela M. Reynolds, Cecelia Valrie, Reginald Mcgee May 2022

An Ode Model For Predicting Pediatric Patient Pain In Scd Based On Patient Sleep Data, Quindel Jones, Rebecca Segal, Angela M. Reynolds, Cecelia Valrie, Reginald Mcgee

Biology and Medicine Through Mathematics Conference

No abstract provided.


Mathematical Modeling Of Brain Cancer Growth Using A Level-Set Method, Gbocho M. Terasaki May 2022

Mathematical Modeling Of Brain Cancer Growth Using A Level-Set Method, Gbocho M. Terasaki

Biology and Medicine Through Mathematics Conference

No abstract provided.


Effects Of Local Mutations In Quadratic Iterations, Anca R. Radulescu, Abraham Longbotham May 2022

Effects Of Local Mutations In Quadratic Iterations, Anca R. Radulescu, Abraham Longbotham

Biology and Medicine Through Mathematics Conference

No abstract provided.


Modeling And Analysis Of Social Contagion In Overweight And Obesity Epidemic, Chathuri Edirisinghe Arachchige May 2022

Modeling And Analysis Of Social Contagion In Overweight And Obesity Epidemic, Chathuri Edirisinghe Arachchige

Biology and Medicine Through Mathematics Conference

No abstract provided.