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Articles 1 - 30 of 468
Full-Text Articles in Applied Mathematics
Modeling The Clonal Rosette Composition Of A Bromeliaceae Genet: A Combinatorial Approach, Layla K. Lammers, Erin N. Bodine
Modeling The Clonal Rosette Composition Of A Bromeliaceae Genet: A Combinatorial Approach, Layla K. Lammers, Erin N. Bodine
Spora: A Journal of Biomathematics
Bromeliaceae, a neo-tropical plant family encompassing over 3,000 species, exhibit two modes of reproduction: sexual reproduction via flowers and seeds, and asexual reproduction via genetically identical clonal rosettes. The vegetative bodies of bromeliads form rosettes with new leaves emerging from the center and clonal rosettes emerging above a single leaf in the rosette, resulting in a genetic individual consisting of a seed-grown rosette and multiple iterations of clonal rosettes. This research develops a combinatorial model of probability that a single genetic individual will include at least n clonal rosettes when a single rosette can produce at most 1 or 2 …
Modeling The Impact Of Treatment During An Ongoing Tuberculosis Outbreak, Bach Le, Anna Robicheaux, Jude Shive, Alana Wells, Erin N. Bodine
Modeling The Impact Of Treatment During An Ongoing Tuberculosis Outbreak, Bach Le, Anna Robicheaux, Jude Shive, Alana Wells, Erin N. Bodine
Spora: A Journal of Biomathematics
In response to a significant tuberculosis outbreak in Wyandotte and Johnson Counties, Kansas, this study presents a compartmental model of ordinary differential equations to evaluate the impact of standard antibiotic treatment. The model incorporates latent, active, and treated disease states. Parameter values were informed by epidemiological data and uncertain parameter value ranges were explored systematically through uncertainty analysis using constrained Latin hypercube sampling. Cumulative infections and deaths, and the basic reproduction number, were computed over a five-year simulation period. Sensitivity analyses using partial rank correlation coefficients identified symptomatic treatment rate and transmission rate as primary drivers of cumulative infections and …
Predicting The Outcome Of Ischemic Hepatitis With Real-Patient Data Using Machine Learning Tools, Christiana Beard, Madison Utterback, Olcay Akman, Priya Kohli, William M. Lee, Aditi Ghosh
Predicting The Outcome Of Ischemic Hepatitis With Real-Patient Data Using Machine Learning Tools, Christiana Beard, Madison Utterback, Olcay Akman, Priya Kohli, William M. Lee, Aditi Ghosh
Spora: A Journal of Biomathematics
Ischemic hepatitis (IH) results from shock-related conditions that impair oxygenated blood flow to the liver, causing hepatocyte death. Diagnosis relies largely on clinical history due to the absence of specific diagnostic tests and limited ability to predict outcomes. This study applies machine learning methods to real-world IH patient data to improve outcome prediction. Biomedical indicators analyzed include creatinine, international normalized ratio (INR), aspartate aminotransferase (AST), alanine transaminase (ALT), and bilirubin. Data were collected from multiple U.S. centers through the Acute Liver Failure Study Group (ALFSG), a multicenter network focused on this rare condition. We implemented logistic regression, regression tree methods …
A Probabilistic Modeling Analysis Of The Longitudinal Immune Response To Infection And Vaccination Across Demographic Groups And Pulmonary Symptoms, James O'Hanlon, Kaitlyn Sullivan, Lyndsey M. Muehling, Glenda Canderan, Jie Sun, Judith A. Woodfolk, Jeffrey M. Wilson, Rayanne A. Luke
A Probabilistic Modeling Analysis Of The Longitudinal Immune Response To Infection And Vaccination Across Demographic Groups And Pulmonary Symptoms, James O'Hanlon, Kaitlyn Sullivan, Lyndsey M. Muehling, Glenda Canderan, Jie Sun, Judith A. Woodfolk, Jeffrey M. Wilson, Rayanne A. Luke
Spora: A Journal of Biomathematics
Antibody and cytokine kinetics describe the dynamic response to immune events such as infection and vaccination. These dynamics are not fully understood, and mathematical characterization may help explain variability across demographic groups and pulmonary symptoms post-acute infection. We fit time-dependent probability models to severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) data to obtain distributions of longitudinal antibody response and cytokine values. To assess differences between groups, an overlap metric is applied to the modeled response curves. Our antibody models suggest significant differences between male and female populations and demonstrate deficient antibody responses of less-healthy groups such as smokers. Our cytokine …
Optimal Intervention Strategies In Age-Structured Sirvd Model: Epidemiological And Economic Analysis Of Covid-19 In Korea, Joon Chun, Melisa Hendrata
Optimal Intervention Strategies In Age-Structured Sirvd Model: Epidemiological And Economic Analysis Of Covid-19 In Korea, Joon Chun, Melisa Hendrata
Spora: A Journal of Biomathematics
This study employed an age-structured Susceptible-Infected-Recovered-Vaccinated-Deceased (SIRVD) model to design optimal COVID‑19 intervention strategies by integrating epidemiological dynamics with economic costs. Using empirical data from South Korea, we estimated transmission parameters and analyzed quarantine-based non-pharmaceutical interventions (NPIs) alongside targeted vaccination scenarios. Our results indicated that a stronger form of mild NPI (upper range of Level I), when combined with targeted vaccination that prioritized seniors, achieved substantial reductions in infection peaks and overall economic burden. These findings underscore the effectiveness of age-specific strategies in epidemic management and offer critical insights for policymakers seeking balanced, resource-efficient approaches.
Inhomogeneous Branching Random Walks: Incorporating Genealogy And Density Effects, Lauren Ajax, Beatrice Durham, Pratima Hebbar, Cade Johnston, Jiayi Zhang
Inhomogeneous Branching Random Walks: Incorporating Genealogy And Density Effects, Lauren Ajax, Beatrice Durham, Pratima Hebbar, Cade Johnston, Jiayi Zhang
Spora: A Journal of Biomathematics
We introduce a novel framework using inhomogeneous branching random walks (BRWs) to model biological processes, specifically by introducing genealogy-dependence in branching rates and displacement distributions to model bacterial colony growth. Current stochastic models often either assume independent and identical behavior of individual agents or incorporate only spatiotemporal inhomogeneity, ignoring the effect of genealogy-based inhomogeneity on the long-time behavior of these processes. Such asymptotics are of independent mathematical interest and are crucial in understanding the emergence of patterns. We propose several inhomogeneous BRW models in 2D space where displacement distributions and branching rates vary with time, space, and genealogy. A combined …
Type Ii Diabetes Treatment Comparison Via Compartment Modeling, Abigail M. Collins
Type Ii Diabetes Treatment Comparison Via Compartment Modeling, Abigail M. Collins
Theses and Dissertations
Type II diabetes mellitus affects one in ten adults worldwide, yet the effects of treatment type and adherence level on developing complications and quality of life have not been well characterized at the population level, and mathematical modeling offers a structured way to examine these dynamics. This thesis adapts the Boutayeb et al. (2004) model to incorporate dynamic treatment types and levels of adherence, producing nine scenarios in which complication development rate and complication recovery rate differed, to compare peak complications and quality of life across treatment and adherence conditions. Using a system of ordinary differential equations and compartment modeling, …
Managing Multi-Drug Resistance: An Evolutionary Game Theory And Optimal Control Approach, Shukhrat Nasrulloev
Managing Multi-Drug Resistance: An Evolutionary Game Theory And Optimal Control Approach, Shukhrat Nasrulloev
Theses and Dissertations
Multi-drug resistance is an evolutionary process in which treatment eliminates sensitive cells, allowing resistant clones to dominate. This thesis investigates this process using a framework integrating population dynamics, evolutionary game theory, and optimal control theory. We develop a two-population logistic growth model describing competition between drug-sensitive and drug-resistant cells under treatment, construct dose-dependent payoff matrices and replicator dynamics to characterize evolutionary competition, and derive a critical drug level Dcrit = (rS - rR)/(dS - dR) at which resistant cells gain a fitness advantage. An optimal control problem is formulated via Pontryagin's Maximum Principle to identify schedules …
Data-Driven Partitioning In Distributed Optimization For Networked Systems, Prosper Azameti
Data-Driven Partitioning In Distributed Optimization For Networked Systems, Prosper Azameti
Theses and Dissertations
The convergence behavior of distributed optimal power flow (OPF) depends strongly on how the power network is partitioned into regions. Classical graph-based methods such as METIS are widely used, but they rely mainly on static topological criteria and do not explicitly incorporate operating-point-dependent information that may affect distributed optimization performance. This thesis develops a data-driven partitioning framework for distributed OPF using graph neural networks (GNNs). Each OPF scenario is represented as a graph in which buses are nodes and transmission lines are edges. Node and edge features capture both structural and operational characteristics of the network. Partition prediction is formulated …
Using Compartmental Systems Of Ordinary Differential Equations And Optimal Control Theory To Compute Ideal Quantities Of Mentors For Student Populations, Timofey B. Gafurov
Using Compartmental Systems Of Ordinary Differential Equations And Optimal Control Theory To Compute Ideal Quantities Of Mentors For Student Populations, Timofey B. Gafurov
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
[Kyda] Multi-Population Seir Modeling With Data Assimilation: Uncovering Covid-19 Disparities Beyond Aggregate Statistics, Emmanuel Fleurantin
[Kyda] Multi-Population Seir Modeling With Data Assimilation: Uncovering Covid-19 Disparities Beyond Aggregate Statistics, Emmanuel Fleurantin
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Data-Driven Modeling Of Dynamics And Adaptation In Mapk Pathway, Elisha Erzoah, Maria Emelianenko, Mariaelena Pierobon
Data-Driven Modeling Of Dynamics And Adaptation In Mapk Pathway, Elisha Erzoah, Maria Emelianenko, Mariaelena Pierobon
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Explainable Post-Operative Patients Recovery Prediction Following Elective Brain Tumor Resection: A Precision Medicine Approach, Eleanor Belkin
Explainable Post-Operative Patients Recovery Prediction Following Elective Brain Tumor Resection: A Precision Medicine Approach, Eleanor Belkin
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Multi-Resolution Graph Neural Networks For Spread Prediction, Petr Kisselev
Multi-Resolution Graph Neural Networks For Spread Prediction, Petr Kisselev
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
[Kyda] Biologically Grounded Surrogate-Driven Parameter Inference For Sparsely Observed Dynamical Systems, Joshua C. Macdonald
[Kyda] Biologically Grounded Surrogate-Driven Parameter Inference For Sparsely Observed Dynamical Systems, Joshua C. Macdonald
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling And Analysis Of The Impacts Of The Rise In Ai Use On Data Center Growth, Resulting Workforce Displacement, And Environmental Impacts Through A Coupled System Of Ordinary Differential Equations Within A Feedback Framework, Divya Laddha, Alonso Gaberial Ogueda, Padmanabhan Seshaiyer
Modeling And Analysis Of The Impacts Of The Rise In Ai Use On Data Center Growth, Resulting Workforce Displacement, And Environmental Impacts Through A Coupled System Of Ordinary Differential Equations Within A Feedback Framework, Divya Laddha, Alonso Gaberial Ogueda, Padmanabhan Seshaiyer
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Investigating The Basic Reproduction Number For An Avian Influenza Model, Omar Saucedo
Investigating The Basic Reproduction Number For An Avian Influenza Model, Omar Saucedo
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Code, Paper, Scissors: What To Cut In The Age Of Ai, Dmitry Kondrashov
Code, Paper, Scissors: What To Cut In The Age Of Ai, Dmitry Kondrashov
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Computational Models For Pre-Lens Tear Film Drug Concentration Dynamics With Drug Supply From A Contact Lens And Drug Exchange During Blinking, Mazen A. Althobaiti
Computational Models For Pre-Lens Tear Film Drug Concentration Dynamics With Drug Supply From A Contact Lens And Drug Exchange During Blinking, Mazen A. Althobaiti
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
[Kyda] The Behavioral Spillover Effect: Modeling Behavioral Interdependencies In Multi-Pathogen Dynamics, Leah Lejeune, Omar Saucedo, Lauren M. Childs, Navid Ghaffarzadegan
[Kyda] The Behavioral Spillover Effect: Modeling Behavioral Interdependencies In Multi-Pathogen Dynamics, Leah Lejeune, Omar Saucedo, Lauren M. Childs, Navid Ghaffarzadegan
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Delayed Adaptive Behavior Modulates Waves In Epidemic Models, Md Shahriar Mahmud, Solomon Eshun, Claus Kadelka, Baltazar Espinoza
Delayed Adaptive Behavior Modulates Waves In Epidemic Models, Md Shahriar Mahmud, Solomon Eshun, Claus Kadelka, Baltazar Espinoza
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling Synaptic Dysfunction As Neural Contagion: A Graph-Based Sedr Framework For Simulating Signal Spread, Michelle Marfo, Dr. Padmanabhan Seshaiyer, Alonso Ogueda-Oliva
Modeling Synaptic Dysfunction As Neural Contagion: A Graph-Based Sedr Framework For Simulating Signal Spread, Michelle Marfo, Dr. Padmanabhan Seshaiyer, Alonso Ogueda-Oliva
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Metapopulation Model To Evaluate C.Difficile Potential Vaccine Interventions., Archana Neupane Timsina
Metapopulation Model To Evaluate C.Difficile Potential Vaccine Interventions., Archana Neupane Timsina
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Following Carbon: Pathway And Flux Representations Of Ecosystems, Caner Kazanci
Following Carbon: Pathway And Flux Representations Of Ecosystems, Caner Kazanci
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Exploring Solutions To Food Addiction Challenges Using Mathematical Modeling, Simulation, And Analysis Applying Optimal Control Theory, Dia Bonsu, Padmanabhan Seshaiyer, Alonso Ogueda-Oliva
Exploring Solutions To Food Addiction Challenges Using Mathematical Modeling, Simulation, And Analysis Applying Optimal Control Theory, Dia Bonsu, Padmanabhan Seshaiyer, Alonso Ogueda-Oliva
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Immune Dysregulation In Covid-19: Mathematical Modeling Of The Within-Host Dynamics, Pagnapech Ngoun, Nicolas Alvarez, Ayesh Awad, Hwayeon Ryu
Immune Dysregulation In Covid-19: Mathematical Modeling Of The Within-Host Dynamics, Pagnapech Ngoun, Nicolas Alvarez, Ayesh Awad, Hwayeon Ryu
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Culture Mediates Climate Opinion Change: A System Dynamics Model, Louis (Lou) Gross, Yoon Ah Shin, Sara M. Constantino, Ann Kinzig, Katherine Lacasse, Brian Beckage
Culture Mediates Climate Opinion Change: A System Dynamics Model, Louis (Lou) Gross, Yoon Ah Shin, Sara M. Constantino, Ann Kinzig, Katherine Lacasse, Brian Beckage
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
[Reev] Developing A Stage-Structure Stoichiometric Aquatic Tri-Trophic Food Chain Model, Ghislaine Niyodusenga, Cecilia Norris, Caroline Orza, Jing Li, Angela Peace, Greg Mayer, Rebecca A. Everett
[Reev] Developing A Stage-Structure Stoichiometric Aquatic Tri-Trophic Food Chain Model, Ghislaine Niyodusenga, Cecilia Norris, Caroline Orza, Jing Li, Angela Peace, Greg Mayer, Rebecca A. Everett
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
[Reev] Describing Social Movement Evolutionary Pathways Through The Conviction-Moderated Adaptive Voter Model, Arturo F. Serrano Borrero, Dylan Green, Olivia J. Chu
[Reev] Describing Social Movement Evolutionary Pathways Through The Conviction-Moderated Adaptive Voter Model, Arturo F. Serrano Borrero, Dylan Green, Olivia J. Chu
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Generalized Reciprocity In Female Norway Rats: A Mathematical Model Of Population Dynamics, Mei Q. Gordon Washington, Olivia J. Chu
Generalized Reciprocity In Female Norway Rats: A Mathematical Model Of Population Dynamics, Mei Q. Gordon Washington, Olivia J. Chu
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.