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Articles 241 - 270 of 468
Full-Text Articles in Applied Mathematics
Lie Groups And Euler-Bernoulli Beam Equation, Medeu Amangeldi
Lie Groups And Euler-Bernoulli Beam Equation, Medeu Amangeldi
Theses and Dissertations
Lie groups approach in differential equations was a breakthrough subject in the late nineteenth century. Sophus Lie, a Norwegian mathematician, introduced the systematic approach to study the solutions of differential equations. The main goal of this thesis is to study, using Lie's approach, the Euler-Bernoulli beam equation subject to swelling force, the fourth-order nonlinear differential equation used to describe the beam deflection under the swelling force. In particular, we will classify the symmetry groups of this equation, obtain several reductions, and demonstrate both analytical and numerical solutions.
A Dynamic Energy Budget Model Of Ornate Box Turtle Shell Growth, Tyler Skorczewski, Brandon Andersen
A Dynamic Energy Budget Model Of Ornate Box Turtle Shell Growth, Tyler Skorczewski, Brandon Andersen
Spora: A Journal of Biomathematics
Many aspects of box turtle development may depend on size rather than age. Notable examples include sexual maturity and the development of the fully closing hinge in the shell that allows box turtles to completely hide in their shells. Thus, it is important to understand how turtles grow in order to have a complete understanding of turtle biology. Previous studies show that turtle shell growth behaves in a logistic manner. These studies use functional models that fit the data well but do little to explain mechanisms. In this work we use the ideas found in dynamic energy budget theory to …
Flattening The Curve: The Effects Of Intervention Strategies During Covid-19, Kelly A. Reagan, Rachel J. Pryor, Gonzalo M. Bearman, David M. Chan
Flattening The Curve: The Effects Of Intervention Strategies During Covid-19, Kelly A. Reagan, Rachel J. Pryor, Gonzalo M. Bearman, David M. Chan
Spora: A Journal of Biomathematics
COVID-19 has plagued countries worldwide due to its infectious nature. Social distancing and the use of personal protective equipment (PPE) are two main strategies employed to prevent its spread. A SIR model with a time-dependent transmission rate is implemented to examine the effect of social distancing and PPE use in hospitals. These strategies’ effect on the size and timing of the peak number of infectious individuals are examined as well as the total number of individuals infected by the epidemic. The effect on the epidemic of when social distancing is relaxed is also examined. Overall, social distancing was shown to …
A Computational Investigation Of The Biophysical Mechanisms Underlying Thermotaxis In The Afd Neurons Of Caenorhabditis Elegans, Zachary Mobille
A Computational Investigation Of The Biophysical Mechanisms Underlying Thermotaxis In The Afd Neurons Of Caenorhabditis Elegans, Zachary Mobille
Theses and Dissertations
Thermotaxis in the nematode Caenorhabditis elegans (C. elegans) is studied at the cellular scale of the amphid finger-like ciliated (AFD) neurons, which have previously been shown to be essential for thermoreception. The voltage and calcium signals of AFD during temperature stimuli are described with ordinary differential equations. The primary calcium model is a modified version of that published by Kuramochi and Doi in 2017 to explain the calcium responses of the chemosensitive amphid single-ciliated right (ASER) neuron to fluctuations in extracellular salt concentration. To account for the effects of temperature, changes to the stimuli conditions under which inactivation takes place …
The Reemergence Of Eradicated Disease Due To Ecological Impact Of Climate Change, Claudia Kolakowski
The Reemergence Of Eradicated Disease Due To Ecological Impact Of Climate Change, Claudia Kolakowski
Theses and Dissertations
Global warming is radically changing aspects of the Earth. As scientists continue to research the effects, the ramifications of melting permafrost is coming to light. We build off of a previously existing Anthrax model in the hopes to include climate change as a factor in Anthrax spread. Chapter II develops a simplified version of an Anthrax model. Parameters for the model are found by using previous research and eigenvalues are analyzed in order to find thresholds and equilibria. Chapter III consider the general solutions of the model through eigenvalues and eigenvectors. This model is then extended to include a parameter …
Long-Term Dynamics Of The Kidney Disease Epidemic Among Hiv-Infected Individuals, Heather Gudaz, Henry A. Ogu, Elissa J. Schwartz
Long-Term Dynamics Of The Kidney Disease Epidemic Among Hiv-Infected Individuals, Heather Gudaz, Henry A. Ogu, Elissa J. Schwartz
Spora: A Journal of Biomathematics
One of many risks facing HIV+ individuals is the development of kidney dysfunction and end stage kidney disease (ESKD). A differential equation-based mathematical model was developed to assess the impact of antiretroviral therapy on the progression to kidney disease and on reducing mortality due to kidney failure. Analytical and numerical predictions of long-term HIV+ ESKD prevalence show that therapy can lead to either extremely low levels of disease prevalence or increased prevalence, depending on drug efficacy levels and mechanisms of action. Maintenance of HIV+ ESKD prevalence below one individual is possible with sufficient efficacy (e.g., 99%) against the progression from …
Preludes To Mathematical Biology Education, Timothy Comar
Preludes To Mathematical Biology Education, Timothy Comar
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Reactions To A Pandemic: The Coronavirus Brings Mathematicians To The Front Line, Ami Radunskaya
Reactions To A Pandemic: The Coronavirus Brings Mathematicians To The Front Line, Ami Radunskaya
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Asymptotic Analysis Of Radial Point Rupture Solutions For Elliptic Equations, Attou Miloua
Asymptotic Analysis Of Radial Point Rupture Solutions For Elliptic Equations, Attou Miloua
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Personalized Immunotherapy Treatment Strategies For A System Of Chronic Myelogenous Leukemia, Paul Valle
Personalized Immunotherapy Treatment Strategies For A System Of Chronic Myelogenous Leukemia, Paul Valle
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Viewing Ode Models Through A New Lens: The Generalized Linear Chain Trick, Paul Hurtado, Cameron Richards
Viewing Ode Models Through A New Lens: The Generalized Linear Chain Trick, Paul Hurtado, Cameron Richards
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Strange Periodic Behavior In An Epilepsy Model, David Chan, Candace Kent, William Strasser
Strange Periodic Behavior In An Epilepsy Model, David Chan, Candace Kent, William Strasser
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Applying Immuno-Epidemiology Principles To Violence, Anna H. Sisk, Nina H. Fefferman, Judy Day, Patricia Bamwine
Applying Immuno-Epidemiology Principles To Violence, Anna H. Sisk, Nina H. Fefferman, Judy Day, Patricia Bamwine
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Various Mathematical Models To Study Covid-19 Pandemic Dynamics With Quarantine, Hospitalized And Non-Pharmaceutical Interventions As Control Strategies, Amit Sharma, Bhanu Gupta
Various Mathematical Models To Study Covid-19 Pandemic Dynamics With Quarantine, Hospitalized And Non-Pharmaceutical Interventions As Control Strategies, Amit Sharma, Bhanu Gupta
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Stochastic Analysis And Statistical Inference For Seir Models Of Infectious Diseases, Andrés Ríos-Gutiérrez, Viswanathan Arunachalam, Anuj Mubayi
Stochastic Analysis And Statistical Inference For Seir Models Of Infectious Diseases, Andrés Ríos-Gutiérrez, Viswanathan Arunachalam, Anuj Mubayi
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Malaria-Hiv/Aids Co-Infection Model With Optimal Treatment And Insecticide-Treated Bednets, Eric Numfor
A Malaria-Hiv/Aids Co-Infection Model With Optimal Treatment And Insecticide-Treated Bednets, Eric Numfor
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Pharmacokinetics And Pharmacodynamics Models Of Tumor Growth And Anticancer Effects In Discrete Time, Ngoc Nguyen, Ferhan M. Atici
Pharmacokinetics And Pharmacodynamics Models Of Tumor Growth And Anticancer Effects In Discrete Time, Ngoc Nguyen, Ferhan M. Atici
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Mathematical Model Illustrating Atherosclerotic Plaque Formation, Debasmita Mukherjee
A Mathematical Model Illustrating Atherosclerotic Plaque Formation, Debasmita Mukherjee
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Analyzing The Control Measures For The Homeless Population And Quantifying Their Impact On The Covid-19 Epidemic In New York City, Steven Manns
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Stochastic Multi-Host Model For West Nile Virus, Emily B. Horton, Suzanne Robertson
A Stochastic Multi-Host Model For West Nile Virus, Emily B. Horton, Suzanne Robertson
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Pathogen Evolution And Vector-Borne Infection Emergence, Praachi Das
Pathogen Evolution And Vector-Borne Infection Emergence, Praachi Das
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
The Effect Of Fcgammariia Polymorphisms On Dengue Outbreak Severity, Leah Darwin, Richard V. Clarke
The Effect Of Fcgammariia Polymorphisms On Dengue Outbreak Severity, Leah Darwin, Richard V. Clarke
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mathematical Modeling And Analysis Of The Zika Virus Epidemic With Human Mobility And Parameter Estimation For Localities In Puerto Rico, Carmen Caiseda
Mathematical Modeling And Analysis Of The Zika Virus Epidemic With Human Mobility And Parameter Estimation For Localities In Puerto Rico, Carmen Caiseda
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling And Preparedness: The Transmission Dynamics Of Covid-19 Outbreak In Provinces Of Ecuador, Carlos E. Bustamante Orellana, Jordy Cevallos-Chavez, Cesar Montalvo, Jeff Sulliavan, Edwin Michael, Anuj Mubayi
Modeling And Preparedness: The Transmission Dynamics Of Covid-19 Outbreak In Provinces Of Ecuador, Carlos E. Bustamante Orellana, Jordy Cevallos-Chavez, Cesar Montalvo, Jeff Sulliavan, Edwin Michael, Anuj Mubayi
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Regional Model For Projecting Covid-19 In Northern Mindanao, Philippines, Jayrold P. Arcede
A Regional Model For Projecting Covid-19 In Northern Mindanao, Philippines, Jayrold P. Arcede
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mathematical Modeling Of Pancreatic Cancer With Clinical Data, Tuğba Akman Yıldız, Emek Köse, Samantha L. Elliott
Mathematical Modeling Of Pancreatic Cancer With Clinical Data, Tuğba Akman Yıldız, Emek Köse, Samantha L. Elliott
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Teaching Module For Mathematical Epidemiology Using Matlab Or R, Glenn Ledder
A Teaching Module For Mathematical Epidemiology Using Matlab Or R, Glenn Ledder
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Mathematical Model Of Flexible Collective Defense: Crisis Response In Stingless Bees, Maria Gabriela Navas Zuloaga, Kaitlin M. Baudier, Theodore P. Pavlic, Jennifer Fewell, Noam Ben-Asher, Yun Kang
A Mathematical Model Of Flexible Collective Defense: Crisis Response In Stingless Bees, Maria Gabriela Navas Zuloaga, Kaitlin M. Baudier, Theodore P. Pavlic, Jennifer Fewell, Noam Ben-Asher, Yun Kang
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Analysis, Control Of Efsb Pest Population Using Graph Theoretic Approach And Pattern Formation In The Pest Model, Pankaj Gulati
Analysis, Control Of Efsb Pest Population Using Graph Theoretic Approach And Pattern Formation In The Pest Model, Pankaj Gulati
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Can Modeling Save Florida’S Native Bromeliads From The Evil Weevil?, Erin N. Bodine, Zoe S. Brookover, Brian D. Christman, Sydney L. Davis, Alexis Kohnke
Can Modeling Save Florida’S Native Bromeliads From The Evil Weevil?, Erin N. Bodine, Zoe S. Brookover, Brian D. Christman, Sydney L. Davis, Alexis Kohnke
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.