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Applied Mathematics Commons

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Illinois State University

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Articles 361 - 390 of 468

Full-Text Articles in Applied Mathematics

Assesing The Effects Of Modeling The Spectrum Of Clinical Symptoms On The Dynamics And Control Of Ebola, Joan Ponce Oct 2018

Assesing The Effects Of Modeling The Spectrum Of Clinical Symptoms On The Dynamics And Control Of Ebola, Joan Ponce

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Consequences Of Short-Term Mobility Across Heterogeneous Risk Environments: The 2014 West African Ebola Outbreak, Baltazar Espinoza Oct 2018

Consequences Of Short-Term Mobility Across Heterogeneous Risk Environments: The 2014 West African Ebola Outbreak, Baltazar Espinoza

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Issues In Reproducible Simulation Research, Ben G. Fitzpatrick Oct 2018

Issues In Reproducible Simulation Research, Ben G. Fitzpatrick

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Implications From Two Prostate Cancer Models For Intermittent Therapy, Tin Phan Oct 2018

Implications From Two Prostate Cancer Models For Intermittent Therapy, Tin Phan

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Vaccination Strategies And Herd Immunity Thresholds In Small World Models, Emily Mcclung, Sam Rivas, Emma Soriano Oct 2018

Vaccination Strategies And Herd Immunity Thresholds In Small World Models, Emily Mcclung, Sam Rivas, Emma Soriano

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Hopfield Networks: Modeling Memory, Maria Gabriela Navas Zuloaga Oct 2018

Hopfield Networks: Modeling Memory, Maria Gabriela Navas Zuloaga

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Mathematical Modeling And Simulation With Deep Learning Methods Of Cancer Growth For Patient-Specific Therapy, Vishal Kobla, Joshua P. Smith, Pranav Unni, Padmanabhan Seshaiyer Oct 2018

Mathematical Modeling And Simulation With Deep Learning Methods Of Cancer Growth For Patient-Specific Therapy, Vishal Kobla, Joshua P. Smith, Pranav Unni, Padmanabhan Seshaiyer

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Intercropping In Semi-Arid India: An Analysis Of Risks And Trade Offs, Jack Pringle Oct 2018

Intercropping In Semi-Arid India: An Analysis Of Risks And Trade Offs, Jack Pringle

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling The Dynamics Of Lyme Disease In A Tick-Mouse System Subject To Vaccination Of Mice Populations, Josean Velazquez-Molina Oct 2018

Modeling The Dynamics Of Lyme Disease In A Tick-Mouse System Subject To Vaccination Of Mice Populations, Josean Velazquez-Molina

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Understanding Sexual Violence Against Women, Maria Martinez Oct 2018

Understanding Sexual Violence Against Women, Maria Martinez

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Some Results From A Two Population Model Of Capitalism, Juan Renova Oct 2018

Some Results From A Two Population Model Of Capitalism, Juan Renova

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Tumour-Immune Dynamics With An Immune Checkpoint Inhibitor, Elpiniki Nikolopoulou Oct 2018

Tumour-Immune Dynamics With An Immune Checkpoint Inhibitor, Elpiniki Nikolopoulou

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


A Household Model Of German Cockroach Infestations And Their Effect On Symptoms Of Atopic Asthma, Karen Funderburk Oct 2018

A Household Model Of German Cockroach Infestations And Their Effect On Symptoms Of Atopic Asthma, Karen Funderburk

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling The Impact Of The Latent Period On The Spatial Spread Of Dengue Fever, Juan Melendez-Alvarez Oct 2018

Modeling The Impact Of The Latent Period On The Spatial Spread Of Dengue Fever, Juan Melendez-Alvarez

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Parameter Sensitivity For In Vitro Anthrax Studies, Yareley Gonzalez, Maria Macias-Bedolla, Megan O. Powell Sep 2018

Parameter Sensitivity For In Vitro Anthrax Studies, Yareley Gonzalez, Maria Macias-Bedolla, Megan O. Powell

Spora: A Journal of Biomathematics

Studies done on interactions between spores and macrophages done in vitro show inconsistent results based on experimental protocol and inhibit meaningful extrapolation to in vivo. In this study, we perform a sensitivity analysis of a model representing in vitro studies of interactions between anthrax spores and macrophages to help address the effects of these inconsistencies. We perform both local and global analyses using Latin hypercube sampling and partial rank correlation coefficients. Our analysis indicates the amount of intracellular bacteria over time is most sensitive to the killing of intracellular bacteria by the macrophages and replication of the bacteria inside …


Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, Ami Radunskaya, Ruby Kim, Timothy Woods Ii Apr 2018

Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, Ami Radunskaya, Ruby Kim, Timothy Woods Ii

Spora: A Journal of Biomathematics

Monoclonal antibodies have shown promising results as a form of cancer immunotherapy used either alone or in combination with another treatment. We model a monoclonal antibody in combination with a dendritic cell (DC) vaccine in order to study treatment optimization. Certain proteins on tumor cells allow the tumor cells to bind to specific receptors on immune cells, rendering the immune cells ineffective. Experiments using mouse models show that a combination of antibodies to these proteins with tumor suppressing drugs improves the effectiveness of cancer vaccines. We create independent models of each of the two treatments in combination with DC therapy, …


Modeling Mayfly Nymph Length Distribution And Population Dynamics Across A Gradient Of Stream Temperatures And Stream Types, Jeremy Anthony, Jennifer Baccam, Imanuel Bier, Emily Gregg, Leif Halverson, Ryan Mulcahy, Emmanuel Okanla, Samira A. Osman, Adam R. Pancoast, Kevin C. Schultz, Alex Sushko, Jennifer Vorarath, Yia Vue, Austin Wagner, Emily Gaenzle Schilling, John M. Zobitz Jan 2018

Modeling Mayfly Nymph Length Distribution And Population Dynamics Across A Gradient Of Stream Temperatures And Stream Types, Jeremy Anthony, Jennifer Baccam, Imanuel Bier, Emily Gregg, Leif Halverson, Ryan Mulcahy, Emmanuel Okanla, Samira A. Osman, Adam R. Pancoast, Kevin C. Schultz, Alex Sushko, Jennifer Vorarath, Yia Vue, Austin Wagner, Emily Gaenzle Schilling, John M. Zobitz

Spora: A Journal of Biomathematics

We analyze a process-based temperature model for the length distribution and population over time of mayfly nymphs. Model parameters are estimated using a Markov Chain Monte Carlo parameter estimation method utilizing length distribution data at five different stream sites. Two different models (a standard exponential model and a modified Weibull model) of mayfly mortality are evaluated, where in both cases mayfly length growth is a function of stream temperature. Based on model-data comparisons to the modeled length distribution and the Bayesian Information Criterion, we found that approaches that length distribution data can reliably estimate 2–3 model parameters. Future model development …


Stochastic Analysis Of A Mammalian Circadian Clock Model: Small Protein Number Effects, David W. Morgens, Blerta Shtylla Nov 2017

Stochastic Analysis Of A Mammalian Circadian Clock Model: Small Protein Number Effects, David W. Morgens, Blerta Shtylla

Spora: A Journal of Biomathematics

The circadian clock, responsible for coordinating organism function with daily and seasonal changes in the day-night cycle, is controlled by a complex protein network that constitutes a robust biochemical oscillator. Deterministic ordinary differential equation models have been used extensively to model the behavior of these central clocks. However, due to the small number of proteins involved in the circadian oscillations, mathematical models that track stochastic variations in the numbers of clock proteins may reveal more complex and biologically relevant behaviors. In this paper, we compare the response of a robust yet detailed deterministic model for the mammalian circadian clock with …


Examining The Electrical Excitation, Calcium Signaling, And Mechanical Contraction Cycle In A Heart Cell, Kristen Deetz, Nygel Foster, Darius Leftwich, Chad Meyer, Shalin Patel, Carlos Barajas, Matthias K. Gobbert, Zana Coulibaly Nov 2017

Examining The Electrical Excitation, Calcium Signaling, And Mechanical Contraction Cycle In A Heart Cell, Kristen Deetz, Nygel Foster, Darius Leftwich, Chad Meyer, Shalin Patel, Carlos Barajas, Matthias K. Gobbert, Zana Coulibaly

Spora: A Journal of Biomathematics

As the leading cause of death in the United States, heart disease has become a principal concern in modern society. Cardiac arrhythmias can be caused by a dysregulation of calcium dynamics in cardiomyocytes. Calcium dysregulation, however, is not yet fully understood and is not easily predicted; this provides motivation for the subsequent research. Excitation-contraction coupling (ECC) is the process through which cardiomyocytes undergo contraction from an action potential. Calcium induced calcium release (CICR) is the mechanism through which electrical excitation is coupled with mechanical contraction through calcium signaling. The study of the interplay between electrical excitation, calcium signaling, and mechanical …


Age-Structured And Vaccination Models Of Devil Facial Tumor Disease, Christopher D. Bruno, Timothy Comar, Megan O. Powell, Adjo Tameklo Nov 2017

Age-Structured And Vaccination Models Of Devil Facial Tumor Disease, Christopher D. Bruno, Timothy Comar, Megan O. Powell, Adjo Tameklo

Spora: A Journal of Biomathematics

Tasmanian devil populations have been devastated by devil facial tumor disease (DFTD) since its first appearance in 1996. The average lifespan of a devil has decreased from six years to three years. We present an age-structured model to represent how the disease has affected the age and breeding structures of the population. We show that with the recent increase in the breeding of juvenile devils, the overall devil population will increase but not nearly to pre-DFTD levels. The basic reproductive number may be increased with the influx of young breeding devils. In addition, our model shows that the release of …


Modeling Aggregation Of Proliferating Microglia In Response To Amyloid-Beta In Dementia, Adrienne C. Kinney, Ellen R. Swanson Nov 2017

Modeling Aggregation Of Proliferating Microglia In Response To Amyloid-Beta In Dementia, Adrienne C. Kinney, Ellen R. Swanson

Spora: A Journal of Biomathematics

Amyloid-beta plaques are prominent biological markers in dementia brains. In response to plaque formation, the brain's immune cells, microglia, become reactive. Microglia are measurable cells that surround amyloid-beta plaques, indicating their location. A system of partial differential equations describes the concentration of microglia in dementia brains by incorporating chemotactic signaling. However, this system fails to incorporate increasing numbers of reactive microglia cells in response to amyloid-beta aggregation. A system of ordinary differential equations describing the number of significant cells and proteins in the brain suggests the amount of reactive microglia increases significantly during the progression of dementia. We couple these …


Lessons And Perspectives From The Data Science Industry, Elsa Schaefer Oct 2017

Lessons And Perspectives From The Data Science Industry, Elsa Schaefer

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Mathematically Modeling The Impact Of Invasive Crayfish Removal On Oncorhynchus Mykiss Population Dynamics In Topanga Creek, Madison Cox, Courtney Davis Phd, Rosi Dagit Oct 2017

Mathematically Modeling The Impact Of Invasive Crayfish Removal On Oncorhynchus Mykiss Population Dynamics In Topanga Creek, Madison Cox, Courtney Davis Phd, Rosi Dagit

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, Timothy Woods Ii Oct 2017

Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, Timothy Woods Ii

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Heads And Tails, Julie Simons Oct 2017

Heads And Tails, Julie Simons

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


The Dynamics Of An Epidemiological Model For Human Papillomavirus With Partial Vaccination In A Heterogeneous Population, Stefano Chiaradonna Oct 2017

The Dynamics Of An Epidemiological Model For Human Papillomavirus With Partial Vaccination In A Heterogeneous Population, Stefano Chiaradonna

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


A Cellular Automaton Modeling Approach To Chestnut Blight Canker Development, Samuel Iselin Oct 2017

A Cellular Automaton Modeling Approach To Chestnut Blight Canker Development, Samuel Iselin

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Dftd Age Structure And Vaccination Modeling, Christopher D. Bruno Oct 2017

Dftd Age Structure And Vaccination Modeling, Christopher D. Bruno

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis, Andrew Palumbo Oct 2017

Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis, Andrew Palumbo

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Turning Monitoring Data Into Simple Population Growth Models: Getting Your Ducks In A Row, Holly Gaff Oct 2017

Turning Monitoring Data Into Simple Population Growth Models: Getting Your Ducks In A Row, Holly Gaff

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.