Modeling Fast Information And Slow(Er) Disease Spreading: A Geometric Analysis, 2024 University of Sassari
Modeling Fast Information And Slow(Er) Disease Spreading: A Geometric Analysis, Iulia Martina Bulai, Mattia Sensi, Sara Sottile
Biology and Medicine Through Mathematics Conference
No abstract provided.
Modeling And Control Of Drug Resistance In Cancer Dynamics, 2024 Clarkson University
Modeling And Control Of Drug Resistance In Cancer Dynamics, James Greene
Biology and Medicine Through Mathematics Conference
No abstract provided.
Using Splines To Investigate The Effects Of Temperature On The Within-Mosquito Malaria Parasite Forms, 2024 Duke University
Using Splines To Investigate The Effects Of Temperature On The Within-Mosquito Malaria Parasite Forms, Alexander J. Diefes, Miranda I. Teboh-Ewungkem
Biology and Medicine Through Mathematics Conference
No abstract provided.
Tracking Food Quality In Algae-Daphnia Ecosystems Through Stage Structured Models And Colimitation, 2024 Haverford College
Tracking Food Quality In Algae-Daphnia Ecosystems Through Stage Structured Models And Colimitation, Tomas Ascoli
Biology and Medicine Through Mathematics Conference
No abstract provided.
Statistical Mobility Of Aggregated Microswimmers, 2024 Worcester Polytechnic Institute
Statistical Mobility Of Aggregated Microswimmers, Yonatan Ashenafi
Biology and Medicine Through Mathematics Conference
No abstract provided.
Impacts Of Hematodinium Infection In A Seasonal Population Model Of The Chesapeake Bay Blue Crab, 2024 William & Mary
Impacts Of Hematodinium Infection In A Seasonal Population Model Of The Chesapeake Bay Blue Crab, Gwendolyn R. Sargent, Romuald Lipcius, Leah Shaw, Junping Shi, Jeffrey D. Shields
Biology and Medicine Through Mathematics Conference
No abstract provided.
Information Feedback Delays Within Epidemic Models And Their Effect On Model Dynamics., 2024 University of Tennessee, Knoxville
Information Feedback Delays Within Epidemic Models And Their Effect On Model Dynamics., Maria K. Bouka, Christopher Strickland Dr
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mathematically Modeling Stoichiometric Drivers Of Nitrogen Fixation, 2024 Haverford College
Mathematically Modeling Stoichiometric Drivers Of Nitrogen Fixation, Rebecca Everett, Corday Selden, Mohamed Hatha Abdulla, Jabir Thajudeen, James Powell, Edwin Cruz-Rivera, Luca Schenone, Renn Schipper, Megan Berberich, Halvor Halvorson, Robinson Fulweiler, Amy Marcarelli, Thad Scott
Biology and Medicine Through Mathematics Conference
No abstract provided.
Analytical And Numerical Analysis Of The Sirs Model, 2024 University of Mary Washington
Analytical And Numerical Analysis Of The Sirs Model, Catherine Nguyen
Student Research Submissions
Mathematical models in epidemiology describe how diseases affect and spread within a population. By understanding the trends of a disease, more effective public health policies can be made. In this paper, the Susceptible-Infected-Recovered-Susceptible (SIRS) Model was examined analytically and numerically to compare with the data for Coronavirus Disease 2019 (COVID-19). Since the SIRS model is a complex model, analytical techniques were used to solve simplified versions of the SIRS model in order to understand general trends that occur. Then by Euler's Method, the Runge-Kutta Method, and the Predictor-Corrector Method, computational approximations were obtained to solve and plot the SIRS model. …
Proof-Of-Concept For Converging Beam Small Animal Irradiator, 2024 The Texas Medical Center Library
Proof-Of-Concept For Converging Beam Small Animal Irradiator, Benjamin Insley
Dissertations & Theses (Open Access)
The Monte Carlo particle simulator TOPAS, the multiphysics solver COMSOL., and
several analytical radiation transport methods were employed to perform an in-depth proof-ofconcept
for a high dose rate, high precision converging beam small animal irradiation platform.
In the first aim of this work, a novel carbon nanotube-based compact X-ray tube optimized for
high output and high directionality was designed and characterized. In the second aim, an
optimization algorithm was developed to customize a collimator geometry for this unique Xray
source to simultaneously maximize the irradiator’s intensity and precision. Then, a full
converging beam irradiator apparatus was fit with a multitude …
Mathematical Modeling For Dental Decay Prevention In Children And Adolescents, 2024 Kennesaw State University
Mathematical Modeling For Dental Decay Prevention In Children And Adolescents, Mahdiyeh Soltaninejad
Dissertations
The high prevalence of dental caries among children and adolescents, especially those from lower socio-economic backgrounds, is a significant nationwide health concern. Early prevention, such as dental sealants and fluoride varnish (FV), is essential, but access to this care remains limited and disparate. In this research, a national dataset is utilized to assess sealants' reach and effectiveness in preventing tooth decay, particularly focusing on 2nd molars that emerge during early adolescence, a current gap in the knowledge base. FV is recommended to be delivered during medical well-child visits to children who are not seeing a dentist. Challenges and facilitators in …
Modeling An Infection Outbreak With Quarantine: The Sibkr Model, 2024 The Ohio State University
Modeling An Infection Outbreak With Quarantine: The Sibkr Model, Mikenna Dew, Amanda Langosch, Theadora Baker-Wallerstein
Rose-Hulman Undergraduate Mathematics Journal
Influenza is a respiratory infection that places a substantial burden in the world population each year. In this project, we study and interpret a data set from a flu outbreak in a British boarding school in 1978 with mathematical modeling. First, we propose a generalization of the SIR model based on the quarantine measure in place and establish the long-time behavior of the model. By analyzing the model mathematically, we determine the analytic formulas of the basic reproduction number, the long-time limit of solutions, and the maximum number of infection population. Moreover, we estimate the parameters of the model based …
Existence And Uniqueness Of Solutions Of Sobolev Type Second Order Integrodifferential Equation, 2024 SRMS College of Engineering & Technology
Existence And Uniqueness Of Solutions Of Sobolev Type Second Order Integrodifferential Equation, Kamalendra Kumar, Manish Nath Tripathi
Applications and Applied Mathematics: An International Journal (AAM)
The primary concern of this article is to establish the existence, uniqueness and continuous dependence on initial data of mild solutions of second order mixed integrodifferential equations of Sobolev type in Banach spaces. For this objective, we employ the idea of strongly continuous cosine family of operators, the modified version of Banach theorem and Grownwall’s inequality. The model is demonstrated to elucidate the abstract conclusion.
Stability Of Predator-Prey Model For Worm Attack In Wireless Sensor Networks, 2024 Galgotias College of Engineering and Technology
Stability Of Predator-Prey Model For Worm Attack In Wireless Sensor Networks, Rajeev Kishore, Padam Singh
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we propose a predator-prey mathematical model for analyzing the dynamical behaviors of the system. This system is an epidemic model, and it is capable of ascertaining the worm's spreading at the initial stage and improving the security of wireless sensor networks. We investigate different fixed points and examine the stability of the projected model.
Infusing Quantitative Reasoning Skills Into A Differential Equation Class In An Urban Public Community College, 2024 CUNY Hostos Community College
Infusing Quantitative Reasoning Skills Into A Differential Equation Class In An Urban Public Community College, Tanvir Prince
Numeracy
This research centers on implementing Quantitative Reasoning (QR) within a differential equations course at an urban public community college. As a participant in the Numeracy Infusion for College Educators (NICE) faculty development program, I sought to integrate QR skills into my curriculum. Students in the course were introduced to QR goals using real-world data sets, particularly those related to population growth, which aim to enhance their understanding, sharpen their problem-solving abilities, and cultivate a positive perspective on the real-world relevance of mathematics. Preliminary findings indicate varied levels of QR skill development among students. These results underscore the potential benefits of …
A Tale Of Two Viruses: Why Smallpox Was Eradicated And Polio Persists, 2024 Rhodes College
A Tale Of Two Viruses: Why Smallpox Was Eradicated And Polio Persists, Katherine G. Mcgough, Erin N. Bodine
Spora: A Journal of Biomathematics
The smallpox and poliomyelitis (polio) viruses were, at a time, one of the largest threats to global public health killing millions until global eradication campaigns were put into effect. Vaccination led to the eradication of smallpox and the elimination of polio for most of the world. However, polio continues to persist at endemic levels in Pakistan and Afghanistan. We developed ODE models of smallpox and polio to explore differences in transmission dynamics and determine if the underlying biology has made poliomyelitis more difficult to eradicate. Our model analysis shows there are multiple factors which should allow polio to have a …
A Coupled Model Of Population, Poaching, And Economic Dynamics To Assess Rhino Conservation Through Legal Trade, 2024 Xavier University
A Coupled Model Of Population, Poaching, And Economic Dynamics To Assess Rhino Conservation Through Legal Trade, Henry Doyle, Kylie Champagne, Ditto Rajpal, Grace Seebeck, David J. Gerberry
Spora: A Journal of Biomathematics
Rhinoceros populations in Africa are in peril largely due to the high value of their horns and the poaching that ensues. The strategy of legalizing the international trade of rhino horn is receiving increased support among both the people and government officials in Africa. Many in the international conservation community remain opposed to the idea. The legalization strategy is straightforward in theory: legalizing the trade of rhino horn will introduce a large quantity of horn to the market, the increased supply will lead to lower prices for rhino horn, and lower prices will reduce the overall poaching pressure these animals …
Odes And Mandatory Voting, 2024 Tufts University, Medford, MA
Odes And Mandatory Voting, Christoph Borgers, Natasa Dragovic, Anna Haensch, Arkadz Kirshtein, Lilla Orr
CODEE Journal
This paper presents mathematics relevant to the question whether voting should be mandatory. Assuming a static distribution of voters’ political beliefs, we model how politicians might adjust their positions to raise their share of the vote. Various scenarios can be explored using our app at https: //centrism.streamlit.app/. Abstentions are found to have great impact on the dynamics of candidates, and in particular to introduce the possibility of discontinuous jumps in optimal candidate positions. This is an unusual application of ODEs. We hope that it might help engage some students who may find it harder to connect with the more customary …
Fitting A Covid-19 Model Incorporating Senses Of Safety And Caution To Local Data From Spartanburg County, South Carolina, 2024 Brown University
Fitting A Covid-19 Model Incorporating Senses Of Safety And Caution To Local Data From Spartanburg County, South Carolina, D. Chloe Griffin, Amanda Mangum
CODEE Journal
Common mechanistic models include Susceptible-Infected-Removed (SIR) and Susceptible-Exposed-Infected-Removed (SEIR) models. These models in their basic forms have generally failed to capture the nature of the COVID-19 pandemic's multiple waves and do not take into account public policies such as social distancing, mask mandates, and the ``Stay-at-Home'' orders implemented in early 2020. While the Susceptible-Vaccinated-Infected-Recovered-Deceased (SVIRD) model only adds two more compartments to the SIR model, the inclusion of time-dependent parameters allows for the model to better capture the first two waves of the COVID-19 pandemic when surveillance testing was common practice for a large portion of the population. We find …
Modeling Aircraft Takeoffs, 2024 Sewanee University
Modeling Aircraft Takeoffs, Catherine Cavagnaro
CODEE Journal
Real-world applications can demonstrate how mathematical models describe and provide insight into familiar physical systems. In this paper, we apply techniques from a first-semester differential equations course that shed light on a problem from aviation. In particular, we construct several differential equations that model the distance that an aircraft requires to become airborne. A popular thumb rule that pilots have used for decades appears to emanate from one of these models. We will see that this rule does not follow from a representative model and suggest a better method of ensuring safety during takeoff. Aircraft safety is definitely a matter …