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Applied Mathematics Commons

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Illinois State University

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Articles 181 - 210 of 468

Full-Text Articles in Applied Mathematics

Comparison Of Assessment And Teaching Modalities For A Quantitative Biology Course, Dmitry Kondrashov Nov 2022

Comparison Of Assessment And Teaching Modalities For A Quantitative Biology Course, Dmitry Kondrashov

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


A Mathematical Model For Understanding And Predicting Dynamics Of Depression As An Epidemic, Bianca Linares Nov 2022

A Mathematical Model For Understanding And Predicting Dynamics Of Depression As An Epidemic, Bianca Linares

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Humanizing Mathematical Biology Research And Education, Carrie Diaz Eaton, Ognyan Simeonov Nov 2022

Humanizing Mathematical Biology Research And Education, Carrie Diaz Eaton, Ognyan Simeonov

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling Our World With Mathematics: Incorporating Math Modeling Into A General Education Curriculum, Brittany Stephenson Nov 2022

Modeling Our World With Mathematics: Incorporating Math Modeling Into A General Education Curriculum, Brittany Stephenson

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


The Effect Of Vaccine Misinformation On Disease Spread, Anthony Delegge, Yina Wang Nov 2022

The Effect Of Vaccine Misinformation On Disease Spread, Anthony Delegge, Yina Wang

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Immuno-Epidemiological Model Of Hiv And Opioid Epidemics, Churni Gupta, Necibe Tuncer, Maia Martcheva Nov 2022

Immuno-Epidemiological Model Of Hiv And Opioid Epidemics, Churni Gupta, Necibe Tuncer, Maia Martcheva

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modularity And Boolean Network Decomposition, Matthew Wheeler Nov 2022

Modularity And Boolean Network Decomposition, Matthew Wheeler

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Sentiment Analysis In Application To Behavior Prediction, Anna Singley Nov 2022

Sentiment Analysis In Application To Behavior Prediction, Anna Singley

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Stochastic Models Of Zoonotic Avian Influenza With Multiple Hosts, Environmental Transmission, And Migration In The Natural Reservoir, Kaia Smith Nov 2022

Stochastic Models Of Zoonotic Avian Influenza With Multiple Hosts, Environmental Transmission, And Migration In The Natural Reservoir, Kaia Smith

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


On Analysis Of Effectiveness Controlling Covid-19 With Quarantine And Vaccination Compartments In Indonesia, Prihantini Prihantini Nov 2022

On Analysis Of Effectiveness Controlling Covid-19 With Quarantine And Vaccination Compartments In Indonesia, Prihantini Prihantini

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling The Effects Of Media Awareness On Sars-Cov-2 Transmission In Georgia, Eric Numfor Nov 2022

Modeling The Effects Of Media Awareness On Sars-Cov-2 Transmission In Georgia, Eric Numfor

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


The Nonlinearity Of Regulation In Biological Networks, Santosh Manicka, Kathleen Johnson, Michael Levin, David Murrugarra Nov 2022

The Nonlinearity Of Regulation In Biological Networks, Santosh Manicka, Kathleen Johnson, Michael Levin, David Murrugarra

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


A Discrete Introduction To Mathematical Modeling: Lessons Learned From Introducing (Bio)Mathematical Modeling Through Difference Equations, Erin N. Bodine Nov 2022

A Discrete Introduction To Mathematical Modeling: Lessons Learned From Introducing (Bio)Mathematical Modeling Through Difference Equations, Erin N. Bodine

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling The Impact Of Hospitalization On The Death Rate Of An Ebola Outbreak, Erin N. Bodine, Jana V. Turner Nov 2022

Modeling The Impact Of Hospitalization On The Death Rate Of An Ebola Outbreak, Erin N. Bodine, Jana V. Turner

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Incorporating Interventions To An Extended Seird Model With Vaccination: Application To Covid-19 In Qatar, Elizabeth Amona Nov 2022

Incorporating Interventions To An Extended Seird Model With Vaccination: Application To Covid-19 In Qatar, Elizabeth Amona

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling The Population Dynamics Of Imperiled Guzmania Monostachia Populations, Erin N. Bodine, Helen E. Pennington, Pranay Lingareddy Nov 2022

Modeling The Population Dynamics Of Imperiled Guzmania Monostachia Populations, Erin N. Bodine, Helen E. Pennington, Pranay Lingareddy

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modularity In Gene Regulatory Networks, Mehak Kapoor, Claus Kadelka Nov 2022

Modularity In Gene Regulatory Networks, Mehak Kapoor, Claus Kadelka

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Dynamics Of A Diffusive Vaccination Model With Therapeutic Impact And Non-Linear Incidence Rates, Md Shahriar Mahmud Nov 2022

Dynamics Of A Diffusive Vaccination Model With Therapeutic Impact And Non-Linear Incidence Rates, Md Shahriar Mahmud

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


An Agent-Based Model Of Covid-19 Transmission At Lewis University, Austin Kind, Brittany Stephenson Phd Nov 2022

An Agent-Based Model Of Covid-19 Transmission At Lewis University, Austin Kind, Brittany Stephenson Phd

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Covid-19 And Challenges To The Classical Theory Of Epidemics, Simon Levin Nov 2022

Covid-19 And Challenges To The Classical Theory Of Epidemics, Simon Levin

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Hepatitis B And D: A Forecast On Actions Needed To Reduce Incidence And Achieve Elimination, Scott Greenhalgh, Andrew Klug May 2022

Hepatitis B And D: A Forecast On Actions Needed To Reduce Incidence And Achieve Elimination, Scott Greenhalgh, Andrew Klug

Spora: A Journal of Biomathematics

Viral hepatitis negatively affects the health of millions, with the worst health outcomes associated with the hepatitis D virus (HDV). Fortunately, HDV is rare and requires prior infection with the hepatitis B virus (HBV) before it can establish infection and transmit. Here, we develop a mathematical model of HBV and HDV transmission in Sub-Saharan Africa to investigate the effects of hepatitis B vaccination on both HBV and HDV. Our findings illustrate a hepatitis B vaccination rate above 0.006 year-1 reduces hepatitis D by over 90%, and a vaccination rate above 0.0221 year-1 reduces hepatitis B by over 90%, …


On Efficacy And Effectiveness Of Vaccines: A Mathematical Approach Based On Conditional Probability With Applications To The Covid-19 Context, Flavius Guias Mar 2022

On Efficacy And Effectiveness Of Vaccines: A Mathematical Approach Based On Conditional Probability With Applications To The Covid-19 Context, Flavius Guias

Spora: A Journal of Biomathematics

This paper presents a mathematically formalized approach which points out the relation between efficacy and effectiveness of vaccines. The first term denotes the relative degree of protection in clinical trials or under ideal conditions, while the latter is based on observed real-life data. We define the efficacy by a similar formula to the effectiveness, but the probabilities involved in the relative risk are conditional with respect to the exposure to the virus. If exposure and vaccination status are independent, the two quantities are equal. Otherwise, the observed value of the effectiveness is a biased one, as it could be seen …


Analysis Of Sir Epidemic Models With Sociological Phenomenon, Robert F. Allen, Katherine C. Heller, Matthew A. Pons Mar 2022

Analysis Of Sir Epidemic Models With Sociological Phenomenon, Robert F. Allen, Katherine C. Heller, Matthew A. Pons

Spora: A Journal of Biomathematics

We propose two SIR models which incorporate sociological behavior of groups of individuals. It is these differences in behaviors which impose different infection rates on the individual susceptible populations, rather than biological differences. We compute the basic reproduction number for each model, as well as analyze the sensitivity of R0 to changes in sociological parameter values.


Effective Dose Fractionation Schemes Of Radiotherapy For Prostate Cancer, Jose Alvarez, Kathleen M. Storey, Pavitra Kannan, Heyrim Cho Mar 2022

Effective Dose Fractionation Schemes Of Radiotherapy For Prostate Cancer, Jose Alvarez, Kathleen M. Storey, Pavitra Kannan, Heyrim Cho

Spora: A Journal of Biomathematics

Radiation therapy remains as one of the main cancer treatment modalities. Typical regimens for radiotherapy comprise a constant dose administered on weekdays, and no radiation on weekends. In this paper, we examine adaptive dosages of radiation treatment strategies for heterogeneous tumors using a dynamical system model that consist of radiation-resistant and parental populations with unique interactive properties, namely, PC3 and DU145 prostate cancer cell lines. We show that stronger doses of radiation given in longer time intervals, while keeping the overall dosage the same, are effective in PC3 cell lines, but not in DU145 cell lines. In addition, we tested …


An Axiomatic And Contextual Review Of The Armitage And Doll Model Of Carcinogenesis, W. Zane Billings, Justin Clifton, Josh Hiller, Tommy Meek, Andrew Penland, Wesley Rogers, Gabriella Smokovich, Andrew Velasquez-Berroteran, Eleni Zamagias Feb 2022

An Axiomatic And Contextual Review Of The Armitage And Doll Model Of Carcinogenesis, W. Zane Billings, Justin Clifton, Josh Hiller, Tommy Meek, Andrew Penland, Wesley Rogers, Gabriella Smokovich, Andrew Velasquez-Berroteran, Eleni Zamagias

Spora: A Journal of Biomathematics

In 1954, Armitage and Doll published one of the most influential papers in the history of mathematical epidemiology. However, when one examines the literature one finds that there are in fact at least three distinct mathematical models attributed to the 1954 paper. In this study, we examine this important paper and the mathematical derivation of their model. We find, very surprisingly, that no stochastic process can account for all the assumptions of the model and that many of the models in the literature use a consistent subset of the assumptions used in Armitage and Doll's paper.


A Quantum Mechanics Approach For The Dynamics Of An Immigration, Emigration Fission Model, Leon Arriola Nov 2021

A Quantum Mechanics Approach For The Dynamics Of An Immigration, Emigration Fission Model, Leon Arriola

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


An Agent-Based Model Of Pain-Related Neurons In The Amygdala, Rachael Miller Neilan, Benedict Kolber Nov 2021

An Agent-Based Model Of Pain-Related Neurons In The Amygdala, Rachael Miller Neilan, Benedict Kolber

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Stability Of Explicit And Implicit Discrete Epidemic Models: Applications To Swine Flu Outbreak, Elvan Akin Nov 2021

Stability Of Explicit And Implicit Discrete Epidemic Models: Applications To Swine Flu Outbreak, Elvan Akin

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Optimal Control Techniques In Addiction Modeling, Leigh Pearcy, William Christopher Strickland, Suzanne Lenhart Nov 2021

Optimal Control Techniques In Addiction Modeling, Leigh Pearcy, William Christopher Strickland, Suzanne Lenhart

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Understanding The Dynamics Of Human Reliance And Trust On Automation, Carlos E. Bustamante Orellana, Lucero Rodriguez Rodriguez, Jordy Cevallos Chavez, Yun Kang Nov 2021

Understanding The Dynamics Of Human Reliance And Trust On Automation, Carlos E. Bustamante Orellana, Lucero Rodriguez Rodriguez, Jordy Cevallos Chavez, Yun Kang

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.