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Applied Mathematics Commons

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Illinois State University

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Articles 151 - 180 of 468

Full-Text Articles in Applied Mathematics

Capturing Spatial Constraints And Stochasticity In Innate Immunity: Translating An Ode Model To A Cellular Potts Framework Using Compucell3d, Marcella Torres Nov 2023

Capturing Spatial Constraints And Stochasticity In Innate Immunity: Translating An Ode Model To A Cellular Potts Framework Using Compucell3d, Marcella Torres

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 B. Amona Nov 2023

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

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Msis-Kadelka: Modularizing The Control Search For Biological Systems, David Murrugarra Nov 2023

Msis-Kadelka: Modularizing The Control Search For Biological Systems, David Murrugarra

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Mathematical Modeling And Simulation Of Migration Dynamics Of Ukrainian Refugees Due To War In Ukraine 2022-2023, Danielle Sitalo, Padmanabhan Seshaiyer Nov 2023

Mathematical Modeling And Simulation Of Migration Dynamics Of Ukrainian Refugees Due To War In Ukraine 2022-2023, Danielle Sitalo, Padmanabhan Seshaiyer

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Msis-Ledder: Empowering Future Physicians: Modeling Disease Transmission With Netlogo To Encourage Mathematical Reasoning, Anne E. Yust Nov 2023

Msis-Ledder: Empowering Future Physicians: Modeling Disease Transmission With Netlogo To Encourage Mathematical Reasoning, Anne E. Yust

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling Overwash Processes On Barrier Islands, Beth Thomas Nov 2023

Modeling Overwash Processes On Barrier Islands, Beth Thomas

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


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

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

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Gaff-Msis-Robertson: Assessing Lyme Disease Dynamics With Lymesim 2.0, Holly Gaff Nov 2023

Gaff-Msis-Robertson: Assessing Lyme Disease Dynamics With Lymesim 2.0, Holly Gaff

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Application Of Physics Informed Neural Networks For Predicting Disease Dynamics, Alonso Gabriel Ogueda, Padmanabhan Seshaiyer Nov 2023

Application Of Physics Informed Neural Networks For Predicting Disease Dynamics, Alonso Gabriel Ogueda, Padmanabhan Seshaiyer

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Msis-Kadelka: Canalization Reduces The Nonlinearity Of Regulation In Biological Networks, Claus Kadelka, David Murrugarra Nov 2023

Msis-Kadelka: Canalization Reduces The Nonlinearity Of Regulation In Biological Networks, Claus Kadelka, David Murrugarra

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling Physiological Response To Stress Via Hormone And Catecholamine Production, Helen Harris Nov 2023

Modeling Physiological Response To Stress Via Hormone And Catecholamine Production, Helen Harris

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Mathematical Model Of Competing Nest Founding Strategies By Queen Harvester Ant Pogonomyremex Californicus, Tamantha Pizarro, Yun Kang Nov 2023

Mathematical Model Of Competing Nest Founding Strategies By Queen Harvester Ant Pogonomyremex Californicus, Tamantha Pizarro, Yun Kang

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


The Effects Of Brain Control: A 3-D Agent-Based Model For Studying Pain, Kayla Kraeuter, Carley Reith, Benedict Kolber, Rachael Miller Neilan Nov 2023

The Effects Of Brain Control: A 3-D Agent-Based Model For Studying Pain, Kayla Kraeuter, Carley Reith, Benedict Kolber, Rachael Miller Neilan

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Mathematical Modeling And Simulation Of Migration Dynamics Of Ukrainian Refugees Due To War In Ukraine 2022-2023, Danielle Sitalo, Padmanabhan Seshaiyer Nov 2023

Mathematical Modeling And Simulation Of Migration Dynamics Of Ukrainian Refugees Due To War In Ukraine 2022-2023, Danielle Sitalo, Padmanabhan Seshaiyer

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling The Communication Dynamics In Human-Autonomy Teams: Insights From Search And Rescue Scenarios, Carlos E. Bustamante Orellana, Lucero Rodriguez Rodriguez, Yun Kang Nov 2023

Modeling The Communication Dynamics In Human-Autonomy Teams: Insights From Search And Rescue Scenarios, Carlos E. Bustamante Orellana, Lucero Rodriguez Rodriguez, Yun Kang

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Mathematical Modeling Of The Impact Of Lobbying On Climate Policy, Andrew Jacoby, Claire Hannah, James Hutchinson, Jasmine Narehood, Aditi Ghosh, Padmanabhan Seshaiyer Nov 2023

Mathematical Modeling Of The Impact Of Lobbying On Climate Policy, Andrew Jacoby, Claire Hannah, James Hutchinson, Jasmine Narehood, Aditi Ghosh, Padmanabhan Seshaiyer

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Compartmental Modeling For The Neophyte: An Application Of Berkeley-Madonna, Olcay Akman, Siddharth Bhumpelli, Cody Cline, Christopher Hay-Jahans Nov 2023

Compartmental Modeling For The Neophyte: An Application Of Berkeley-Madonna, Olcay Akman, Siddharth Bhumpelli, Cody Cline, Christopher Hay-Jahans

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


A Mathematical Model Of Acanthocephalan Parasite Infection In Gull-Billed Terns, Charlotte Moser Nov 2023

A Mathematical Model Of Acanthocephalan Parasite Infection In Gull-Billed Terns, Charlotte Moser

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling The Opioid Epidemic: Medicated Versus Non-Medicated Treatment, Gabriel Greenberg, Maniha Akram, Muskan Agarwal Nov 2023

Modeling The Opioid Epidemic: Medicated Versus Non-Medicated Treatment, Gabriel Greenberg, Maniha Akram, Muskan Agarwal

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Estimating & Modeling The Growth Of Bromeliads, Erin N. Bodine, Helen O. Udeochu, Alana G. Wells Nov 2023

Estimating & Modeling The Growth Of Bromeliads, Erin N. Bodine, Helen O. Udeochu, Alana G. Wells

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Effect Of Under-Reporting, Vaccine Efficiency And Social Behavior On Epidemic Progression, Samiran Ghosh Oct 2023

Effect Of Under-Reporting, Vaccine Efficiency And Social Behavior On Epidemic Progression, Samiran Ghosh

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling The Population Demographics & Viability Of Imperiled Guzmania Monostachia Populations, Helen Pennington, Pranay Lingareddy, Erin N. Bodine May 2023

Modeling The Population Demographics & Viability Of Imperiled Guzmania Monostachia Populations, Helen Pennington, Pranay Lingareddy, Erin N. Bodine

Spora: A Journal of Biomathematics

Guzmania monostachia is a large, long-lived bromeliad whose leaves grow in a rosette pattern and is native to the Americas, but endangered in Florida due to damage caused by the invasive weevil Metamasius callizona. Each G. monostachia rosette can reproduce sexually via flowers or asexually by producing clonal offshoot rosettes. We model the population dynamics and demographic structure of a G. monostachia population using a Lefkovitch matrix model where each state represents a demographic class of rosettes. Model analysis over a range of uncertain parameters show the conditions under which a G. monostachia population is viable in the absence …


Using Integral Projection Models To Explore Management Strategies For Silver Carp (Hypophthalmichthys Molitrix), Cameron Coles, Elizabeth Balas, James Peirce, Greg Sandland, Richard Erickson Apr 2023

Using Integral Projection Models To Explore Management Strategies For Silver Carp (Hypophthalmichthys Molitrix), Cameron Coles, Elizabeth Balas, James Peirce, Greg Sandland, Richard Erickson

Spora: A Journal of Biomathematics

Silver carp (Hypophthalmichthys molitrix) are planktivorous fish that were originally introduced to the United States for use in fish production ponds and have since escaped these enclosures and are invading the Mississippi River Basin. The silver carp invasion of the Illinois River has a myriad of negative effects on native ecosystems. In this paper, we introduce key dependencies that are likely important in the population dynamics of silver carp: length-dependent egg production and density-dependent growth. Using movement data between two adjacent pools of the Illinois River, we conduct numerical simulations to explore the theoretical effect of harvesting and …


A Statistical Analysis Of The Change In Age Distribution Of Spawning Hatchery Salmon, Rachel Macaulay, Emily Barrett, Grace Penunuri, Eli E. Goldwyn Jan 2023

A Statistical Analysis Of The Change In Age Distribution Of Spawning Hatchery Salmon, Rachel Macaulay, Emily Barrett, Grace Penunuri, Eli E. Goldwyn

Spora: A Journal of Biomathematics

Declines in salmon sizes have been reported primarily as a result of younger maturation rates. This change in age distribution poses serious threats to salmon-dependent peoples and ecological systems. We perform a statistical analysis to examine the change in age structure of spawning Alaskan chum salmon Oncorhynchus keta and Chinook salmon O. tshawytscha using 30 years of hatchery data. To highlight the impacts of this change, we investigate the average number of fry/smolt that each age of spawning chum/Chinook salmon produce. Our findings demonstrate an increase in younger hatchery salmon populations returning to spawn, and fewer amounts of fry produced …


A Dynamical System Model Of Dengue Transmission For Rio De Janeiro, Brazil, Gregory Schmidt, Benjamin Whipple, Vinodh Chellamuthu, Xiaoxia Xie Jan 2023

A Dynamical System Model Of Dengue Transmission For Rio De Janeiro, Brazil, Gregory Schmidt, Benjamin Whipple, Vinodh Chellamuthu, Xiaoxia Xie

Spora: A Journal of Biomathematics

The dengue virus is a serious concern in many parts of the world, including Brazil. As data indicates, a prominent vector for dengue is the mosquito Aedes aegypti. By using the dengue incidence records from the Brazilian SINAN database, we estimate the population of A. aegypti within the city of Rio de Janeiro. Using historical climate data for Rio de Janeiro and the computed population estimates, we extend an existing model for the population dynamics of mosquitoes to incorporate precipitation in aquatic stages of development for A. aegypti.


Solving Mathematical Epidemiology Models Via Neural Nets Tuned By Mesh Adaptive Direct Search, Muhammad Jalil Ahmad Nov 2022

Solving Mathematical Epidemiology Models Via Neural Nets Tuned By Mesh Adaptive Direct Search, Muhammad Jalil Ahmad

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Solving Clostridioides Difficile: Mathematical Models Of Transmission And Control In Healthcare Settings, Cara Sulyok, Max Lewis, Laila Mahrat, Brittany Stephenson, Malen De La Fuente Arruabarrena, David Kovalev, Justyna Sliwinska Nov 2022

Solving Clostridioides Difficile: Mathematical Models Of Transmission And Control In Healthcare Settings, Cara Sulyok, Max Lewis, Laila Mahrat, Brittany Stephenson, Malen De La Fuente Arruabarrena, David Kovalev, Justyna Sliwinska

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Substrate Transport In Cylindrical Multi-Capillary Beds With Axial Diffusion, Liang Sun, Eric Choi Nov 2022

Substrate Transport In Cylindrical Multi-Capillary Beds With Axial Diffusion, Liang Sun, Eric Choi

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


An Implementation Of The Method Of Moments On Chemical Systems With Constant And Time-Dependent Rates, Emmanuel Adara Nov 2022

An Implementation Of The Method Of Moments On Chemical Systems With Constant And Time-Dependent Rates, Emmanuel Adara

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Physics-Informed Neural Networks For Informed Vaccine Distribution In Heterogeneously Mixed Populations, Alvan Arulandu, Padmanabhan Seshaiyer Nov 2022

Physics-Informed Neural Networks For Informed Vaccine Distribution In Heterogeneously Mixed Populations, Alvan Arulandu, Padmanabhan Seshaiyer

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.