Glucose Regulation Using An Intelligent Pid Controller,
2020
Louisiana Tech University
Glucose Regulation Using An Intelligent Pid Controller, Parker Willmon
Mathematics Senior Capstone Papers
Type 1 diabetes is a condition characterized by a lack of insulin production. This lack of insulin causes glucose concentration in the blood to increase after meals. In order to maintain blood glucose levels, diabetics must inject insulin using needles or an insulin pump. Additionally, the lack of insulin can cause glucose levels to decrease overnight. This project uses a proportional integral derivative (PID) controller to modify the rate of insulin and glucagon infusion when glucose levels are increasing or decreasing, respectively. A system of 13 differential equations were used to anticipate changes in glucose concentration as insulin and glucagon …
The Boundary Element Method For Parabolic Equation And Its Implementation In Bem++,
2020
Southern Methodist University
The Boundary Element Method For Parabolic Equation And Its Implementation In Bem++, Sihao Wang
Mathematics Theses and Dissertations
The goal of this work is to develop a fast method for solving Galerkin discretizations of boundary integral formulations of the heat equation. The main contribution of this work is to devise a new fast algorithm for evaluating the dense matrices of the discretized integral equations.
Similar to the parabolic FMM, this method is based on a subdivision of the matrices into an appropriate hierarchical block structure. However, instead of an expansion of the kernel in both space and time we interpolate kernel in the temporal variables and use of the adaptive cross approximation (ACA) in the spatial variables.
The …
A New Class Of Discontinuous Galerkin Methods For Wave Equations In Second-Order Form,
2020
Southern Methodist University
A New Class Of Discontinuous Galerkin Methods For Wave Equations In Second-Order Form, Lu Zhang
Mathematics Theses and Dissertations
Discontinuous Galerkin methods are widely used in many practical fields. In this thesis, we focus on a new class of discontinuous Galerkin methods for second-order wave equations. This thesis is constructed by three main parts. In the first part, we study the convergence properties of the energy-based discontinuous Galerkin proposed in [3] for wave equations. We improve the existing suboptimal error estimates to an optimal convergence rate in the energy norm. In the second part, we generalize the energy-based discontinuous Galerkin method proposed in [3] to the advective wave equation and semilinear wave equation in second-order form. Energy-conserving or energy-dissipating …
Spreading Mechanics And Differentiation Of Astrocytes During Retinal Development,
2020
University of Florida
Spreading Mechanics And Differentiation Of Astrocytes During Retinal Development, Tracy Stepien, Timothy W. Secomb
Biology and Medicine Through Mathematics Conference
No abstract provided.
The Role Of Diversity Amplification For Personal Protection Control Strategies In Vector-Borne Disease Models,
2020
University of Maryland
The Role Of Diversity Amplification For Personal Protection Control Strategies In Vector-Borne Disease Models, Jeffery Demers, Sharon Bewick, Justin M. Calabrese, William F. Fagan
Biology and Medicine Through Mathematics Conference
No abstract provided.
Density-Dependent Development Impacts The Success Of Wolbachia-Based Mosquito Control Programs,
2020
University of the Sciences in Philadelphia
Density-Dependent Development Impacts The Success Of Wolbachia-Based Mosquito Control Programs, Alyssa Petroski, Lauren M. Childs, Michael Andrew Robert
Biology and Medicine Through Mathematics Conference
No abstract provided.
Attraction-Repulsion Taxis Mechanisms In A Predator-Prey Model,
2020
Nova Southeastern University
Attraction-Repulsion Taxis Mechanisms In A Predator-Prey Model, Evan C. Haskell
Biology and Medicine Through Mathematics Conference
No abstract provided.
Parallel-In-Time Simulation Of Biofluids,
2020
Syracuse University
Parallel-In-Time Simulation Of Biofluids, Weifan Liu, Minghao Rostami
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Model-Based Investigation Of The Role Of Density Dependence In Juvenile Mosquito Development And Survival,
2020
Virginia Polytechnic Institute and State University
A Model-Based Investigation Of The Role Of Density Dependence In Juvenile Mosquito Development And Survival, Melody Walker Ms, Lauren M. Childs, Michael A. Robert
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mathematical Modeling Of Gliding Motility And Its Regulation In Myxococcus Xanthus,
2020
Virginia Polytechnic Institute and State University
Mathematical Modeling Of Gliding Motility And Its Regulation In Myxococcus Xanthus, Yirui Chen
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Mathematical Framework To Augment Metrics Of Small Intestinal Health,
2020
University of Tennessee, Knoxville
A Mathematical Framework To Augment Metrics Of Small Intestinal Health, Cara J. Sulyok, Judy Day, Suzanne Lenhart
Biology and Medicine Through Mathematics Conference
No abstract provided.
Eco-Evolutionary Dynamics Of Microbial Communities,
2020
University of Idaho
Eco-Evolutionary Dynamics Of Microbial Communities, Lihong Zhao
Biology and Medicine Through Mathematics Conference
No abstract provided.
Emergence, Mechanics, And Development: How Behavior And Geometry Underlie Cowrie Seashell Form,
2020
University of California Berkeley
Emergence, Mechanics, And Development: How Behavior And Geometry Underlie Cowrie Seashell Form, Michael G. Levy, Michael R. Deweese
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mathematical Modeling Of The Car T-Cell Therapy,
2020
St. Mary's College of Maryland
Mathematical Modeling Of The Car T-Cell Therapy, Emek Kose, Elizabeth Zollinger, Samantha Elliott
Biology and Medicine Through Mathematics Conference
No abstract provided.
Tympanal Asymmetry In A Parasitoid Fly: Small Asymmetries Produce Big Gains,
2020
Virginia Polytechnic Institute and State University
Tympanal Asymmetry In A Parasitoid Fly: Small Asymmetries Produce Big Gains, Max Mikel-Stites, Anne E. Staples
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Mathematical Model To Study The Crime Dynamics Spread Within Minority Communities,
2020
Norfolk State University
A Mathematical Model To Study The Crime Dynamics Spread Within Minority Communities, Maila Brucal-Hallare, Beatriz Cuartas, Anne Fernando, Ana Vivas-Barber
Biology and Medicine Through Mathematics Conference
No abstract provided.
Parameter Estimation For Tear Film Thinning,
2020
University of Delaware
Parameter Estimation For Tear Film Thinning, Rayanne Luke
Biology and Medicine Through Mathematics Conference
No abstract provided.
The Role Of Variation In Mate Choice And Wolbachia Infection On Aedes Aegypti Population Dynamics,
2020
University of Tennessee
The Role Of Variation In Mate Choice And Wolbachia Infection On Aedes Aegypti Population Dynamics, Bernardo Ameneyro
Biology and Medicine Through Mathematics Conference
No abstract provided.
Using Network Modeling To Understand The Relationship Between Sars-Cov-1 And Sars-Cov-2,
2020
Florida State University
Using Network Modeling To Understand The Relationship Between Sars-Cov-1 And Sars-Cov-2, Elizabeth Brooke Haywood, Nicole A. Bruce
Biology and Medicine Through Mathematics Conference
No abstract provided.
Exploring The Effect Of The Nestling Recruitment Curve On Enzootic West Nile Virus Transmission,
2020
Virginia Commonwealth University
Exploring The Effect Of The Nestling Recruitment Curve On Enzootic West Nile Virus Transmission, Emily B. Horton
Biology and Medicine Through Mathematics Conference
No abstract provided.
