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Articles 31 - 60 of 701
Full-Text Articles in Applied Mathematics
Construction And Data-Driven Analysis Of A Stochastic, Individual-Based Opioid Epidemiology Network Model, Leigh Bennett Pearcy, Owen Queen, Vincent Jodoin, Suzanne Lenhart, Christopher Strickland
Construction And Data-Driven Analysis Of A Stochastic, Individual-Based Opioid Epidemiology Network Model, Leigh Bennett Pearcy, Owen Queen, Vincent Jodoin, Suzanne Lenhart, Christopher Strickland
Mathematical Modelling and Numerical Simulation with Applications
While substance use epidemiology has been an active area of mathematical research in recent years, the social and mental processes that are involved in the development of substance use disorders have presented challenges to advancing the epidemiological theory and how they differ from the contraction of pathogenic disease. Such distinction is especially pertinent in the context of the current United States opioid epidemic and its intersection with the recent COVID-19 pandemic, as both prescription drugs and social influence play major roles in the development of opioid use disorder. In this paper, we construct a stochastic network model capturing how individual …
Modeling And Analysis Of Electric Signal In Neurons, Kevin J. Roberts
Modeling And Analysis Of Electric Signal In Neurons, Kevin J. Roberts
All Graduate Reports and Creative Projects, Fall 2023 to Present
Neurons in humans and other species transmit information by sending electric signals via axons. This process relies on the generation and propagation of action potentials—rapid changes in the membrane potential of the axon. Understanding the mechanisms of action potentials, including how they are generated and influenced by the axon geometry and material parameters, is crucial for gaining insight into neurological diseases such as Alzheimer’s and Multiple Sclerosis (diseases highly correlated to demyelination). In this work, we review and summarize mathematical models for signal transmission–including the classical Hodgkin-Huxley model, the Single Cable (SC) model, and the Double Cable (DC) model. We …
(R2135) System Dynamical Analysis For Ann-Based Numerical Solutions Of A Compartmental Model: A Bio-Mathematical Model Of Drug Diffusion Through The Compartments Of Blood And Tissue, Rakesh Kumar, Sudarshan Dhua
(R2135) System Dynamical Analysis For Ann-Based Numerical Solutions Of A Compartmental Model: A Bio-Mathematical Model Of Drug Diffusion Through The Compartments Of Blood And Tissue, Rakesh Kumar, Sudarshan Dhua
Applications and Applied Mathematics: An International Journal (AAM)
This paper provides a considerably efficient numerical approach to acquire the solutions of a biomathematical model administrating oral and intravenous distribution of pharmaceuticals in the human body. The proposed numerical approach based on an artificial neural network is employed to extract numerical solutions for a detailed set of ordinary differential equations and analyze the change in concentration of drug diffusion via the compartments of blood and tissue medium. We primarily focus on analyzing three different models established on the diffusion process, exercising laws of mass action and Fick’s principle. In this work, the existing model is reformulated as an optimization …
(R2107) Analysis Of A Bivalent Vaccine Model With Peer Influence Effect On Testing, Manoj Kumar Singh, Anjali .
(R2107) Analysis Of A Bivalent Vaccine Model With Peer Influence Effect On Testing, Manoj Kumar Singh, Anjali .
Applications and Applied Mathematics: An International Journal (AAM)
The coronavirus caused havoc around the world. There was a terrible situation in villages and cities, and no one knew how to deal with it. Although the governments of each country tried their best to save the common people, vaccination programs and testing centers were built everywhere. However, people were not utilizing it due to fear. Because of this, the infection spread rapidly. The qualitative study of the mathematical model here is in context with the situation when bivalent vaccination and testing are available for an epidemic. The mathematical model combines the exposed period and influenza model with vaccination included …
Clustering 24-Hour Ambulatory Blood Pressure Time Series With Dynamic Time Warping And Time Warp Edit Distance, John Knight
Clustering 24-Hour Ambulatory Blood Pressure Time Series With Dynamic Time Warping And Time Warp Edit Distance, John Knight
Theses and Dissertations
Ambulatory blood pressure monitoring (ABPM) captures dynamic circadian changes in blood pressure (BP) that are not reflected in static clinic readings. This study applied time-series clustering with two elastic distance measures—Dynamic Time Warping (DTW) and Time Warp Edit Distance (TWED)—to identify distinct phenotypes in 2,155 24-hour ABPM time series from participants in the Maracaibo Aging Study. DTW and TWED both yielded three clusters corresponding to non-dipping, moderate-dipping, and strong-dipping patterns. The non-dipping group showed elevated nighttime BP, associated with greater cardiovascular and cognitive risk, while the strong-dipping group was associated with higher education and younger age in baseline clinic measurements. …
Comparing Machine Learning, Deep Learning, And Reinforcement Learning Performance In Culex Pipiens Predictive Modeling, Wei Yin, Sanad H. Ragab, Michael G. Tyshenko, Teresa Patricia Feria-Arroyo, Tamer Oraby
Comparing Machine Learning, Deep Learning, And Reinforcement Learning Performance In Culex Pipiens Predictive Modeling, Wei Yin, Sanad H. Ragab, Michael G. Tyshenko, Teresa Patricia Feria-Arroyo, Tamer Oraby
School of Mathematical & Statistical Sciences Faculty Publications
Several machine learning (ML) and deep learning (DL) methods have been used to predict the presence of species in classification problems. Another set of methods, called reinforcement learning (RL), has been used in training agents to perform various tasks, but not in predicting species distribution. Culex pipiens (Diptera: Culicidae), commonly known as the common house mosquito, is a globally distributed species prevalent in temperate and subtropical regions. They serve as a primary vector for West Nile Virus (WNV), a mosquito-borne pathogen that affects humans and other animals. The study objective is to compare the performance of logistic regression, random forest …
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.
[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.
[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.
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.
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.
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.
[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.
Mathematical Model Of Ovarian Cancer Tumor Growth In Mice, Jessica A. Hoffman
Mathematical Model Of Ovarian Cancer Tumor Growth In Mice, Jessica A. Hoffman
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Analyzing The Effect Of A Holling Type Iii Functional Response On Predator-Prey Dynamics, Lawrence G. Seminario-Romero, Richard Rebarber, Brigitte Tenhumberg
Analyzing The Effect Of A Holling Type Iii Functional Response On Predator-Prey Dynamics, Lawrence G. Seminario-Romero, Richard Rebarber, Brigitte Tenhumberg
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Reconstructing Gene Regulatory Networks From Time-Series Data In Knime, Raina Robeva
Reconstructing Gene Regulatory Networks From Time-Series Data In Knime, Raina Robeva
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Self-Assembly And Self-Folding Models Of Viral Capsids, John R Jungck
Self-Assembly And Self-Folding Models Of Viral Capsids, John R Jungck
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
[Kadel] Robust Basins, Fragile Attractors: A New View On Boolean Network Dynamics, Claus Kadelka
[Kadel] Robust Basins, Fragile Attractors: A New View On Boolean Network Dynamics, Claus Kadelka
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Probabilistic Modeling Of Antibody Kinetics Post Infection And Vaccination, Rayanne Luke, Prajakta Bedekar, Anthony J. Kearsley
Probabilistic Modeling Of Antibody Kinetics Post Infection And Vaccination, Rayanne Luke, Prajakta Bedekar, Anthony J. Kearsley
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mentoring First-Year Stem Students Through Collaborative Research In The Haynes Scholars Program, Alex Capaldi, Laura Tipton
Mentoring First-Year Stem Students Through Collaborative Research In The Haynes Scholars Program, Alex Capaldi, Laura Tipton
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Histamine And Serotonin Impact Anopheles Stephensi Population Dynamics And Malaria Transmission: Perspectives From Mathematical Modeling, Michael Robert
Histamine And Serotonin Impact Anopheles Stephensi Population Dynamics And Malaria Transmission: Perspectives From Mathematical Modeling, Michael Robert
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
[Lele] Early Careers In Mathematical Biology "Mathematical Analysis Of Exposure-Dependent Transmission With Environmental Reservoirs", Mohammad Mihrab Uddin Chowdhury, Angela Peace, Matthew J. Gray
[Lele] Early Careers In Mathematical Biology "Mathematical Analysis Of Exposure-Dependent Transmission With Environmental Reservoirs", Mohammad Mihrab Uddin Chowdhury, Angela Peace, Matthew J. Gray
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Representing Ewe-Lamb Contact Dynamics In An Agent-Based Model Of Enzootic Abortion Of Ewes, Kelly R. Buch, Cara J. Sulyok
Representing Ewe-Lamb Contact Dynamics In An Agent-Based Model Of Enzootic Abortion Of Ewes, Kelly R. Buch, Cara J. Sulyok
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Metapopulation Model For Oyster Restoration, Leah Shaw
Metapopulation Model For Oyster Restoration, Leah Shaw
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
[Chu] Modelling The Effect Of Disturbed Blood-Feeding On Mosquito-Borne Disease Transmission, Kyle Dahlin, Michael Robert, Lauren Childs
[Chu] Modelling The Effect Of Disturbed Blood-Feeding On Mosquito-Borne Disease Transmission, Kyle Dahlin, Michael Robert, Lauren Childs
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Understanding The Spread Of Black Sigatoka Disease: A Deterministic And Stochastic Modeling Approach, Bernard Asamoah Afful, Luis F. Gordillo
Understanding The Spread Of Black Sigatoka Disease: A Deterministic And Stochastic Modeling Approach, Bernard Asamoah Afful, Luis F. Gordillo
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling Probiotic Bacterial Control Of White-Nose Syndrome In Little Brown Bat Colonies, Bethany Droubay, Alex Capaldi
Modeling Probiotic Bacterial Control Of White-Nose Syndrome In Little Brown Bat Colonies, Bethany Droubay, Alex Capaldi
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Compartmental Model For Diurnal Atlantic Stingray Migration, Rhianna Yates, Leah Glasser, Elena Wheatley, Christopher Hay-Jahans
A Compartmental Model For Diurnal Atlantic Stingray Migration, Rhianna Yates, Leah Glasser, Elena Wheatley, Christopher Hay-Jahans
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mathematically Modeling Stoichiometric Drivers Of Heterotrophic N2 Fixation, Corday R. Selden, Rebecca Everett, Halvor H. Halvorson, Megan E. Berberich, Luca Schenone, Angela Peace, Renn Schipper, Edwin Cruz-Rivera, James Powell, Keisuke Inomura, Robinson W. Fulweiler, Amy M. Marcarelli, J Thad Scott
Mathematically Modeling Stoichiometric Drivers Of Heterotrophic N2 Fixation, Corday R. Selden, Rebecca Everett, Halvor H. Halvorson, Megan E. Berberich, Luca Schenone, Angela Peace, Renn Schipper, Edwin Cruz-Rivera, James Powell, Keisuke Inomura, Robinson W. Fulweiler, Amy M. Marcarelli, J Thad Scott
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Compartmental Model For Annual Bat Migration, Elena D. Wheatley, Rhianna Yates, Leah Glasser, Christopher Hay-Jahans
A Compartmental Model For Annual Bat Migration, Elena D. Wheatley, Rhianna Yates, Leah Glasser, Christopher Hay-Jahans
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.