University of Nebraska-Lincoln
Southeastern University - Lakeland
Trinity University
University of New Mexico
Georgia Southern University
Claremont McKenna College
Western Kentucky University
Multiscale Modelling Of Brain Networks And The Analysis Of Dynamic Processes In Neurodegenerative Disorders,
2024
Wilfrid Laurier University
Multiscale Modelling Of Brain Networks And The Analysis Of Dynamic Processes In Neurodegenerative Disorders, Hina Shaheen
Theses and Dissertations (Comprehensive)
The complex nature of the human brain, with its intricate organic structure and multiscale spatio-temporal characteristics ranging from synapses to the entire brain, presents a major obstacle in brain modelling. Capturing this complexity poses a significant challenge for researchers. The complex interplay of coupled multiphysics and biochemical activities within this intricate system shapes the brain's capacity, functioning within a structure-function relationship that necessitates a specific mathematical framework. Advanced mathematical modelling approaches that incorporate the coupling of brain networks and the analysis of dynamic processes are essential for advancing therapeutic strategies aimed at treating neurodegenerative diseases (NDDs), which afflict millions of …
An Exposition Of The Curvature Of Warped Product Manifolds,
2023
California State University - San Bernardino
An Exposition Of The Curvature Of Warped Product Manifolds, Angelina Bisson
Electronic Theses, Projects, and Dissertations
The field of differential geometry is brimming with compelling objects, among which are warped products. These objects hold a prominent place in differential geometry and have been widely studied, as is evident in the literature. Warped products are topologically the same as the Cartesian product of two manifolds, but with distances in one of the factors in skewed. Our goal is to introduce warped product manifolds and to compute their curvature at any point. We follow recent literature and present a previously known result that classifies all flat warped products to find that there are flat examples of warped products …
Game-Theoretic Approaches To Optimal Resource Allocation And Defense Strategies In Herbaceous Plants,
2023
University of Nebraska-Lincoln
Game-Theoretic Approaches To Optimal Resource Allocation And Defense Strategies In Herbaceous Plants, Molly R. Creagar
Department of Mathematics: Dissertations, Theses, and Student Research
Empirical evidence suggests that the attractiveness of a plant to herbivores can be affected by the investment in defense by neighboring plants, as well as investment in defense by the focal plant. Thus, allocation to defense may not only be influenced by the frequency and intensity of herbivory but also by defense strategies employed by other plants in the environment. We incorporate a neighborhood defense effect by applying spatial evolutionary game theory to optimal resource allocation in plants where cooperators are plants investing in defense and defectors are plants that do not. We use a stochastic dynamic programming model, along …
Understanding Collective Performance: Human Factors And Team Science,
2023
Embry-Riddle Aeronautical University
Understanding Collective Performance: Human Factors And Team Science, Joseph Keebler
Math Department Colloquium Series
This talk will focus on modern issues with team science. Joe will discuss a variety of projects he's been involved with aimed at improving teamwork in complex sociotechnical systems including military, aviation, and healthcare. He will discuss major theoretical facets of teamwork and provide evidence-based best practices that were utilized to improve teams in applied settings.
A Primer On The Legendre Transformation,
2023
Monroe County Community College
A Primer On The Legendre Transformation, Steven J. Kilner, David L. Farnsworth
Articles
Guidance is offered for understanding and using the Legendre transformation and its associated duality among functions and curves. The genesis of this paper was encounters with colleagues and students asking about the transformation. A main feature is simplicity of exposition, while keeping in mind the purpose or application for using the transformation.
Dynamic Rotation Of Maxwellian Fluid With Fluctuating Thermal Conductivity,
2023
Department of Mathematics, University of Wah, Wah Cantt 47040, Pakistan
Dynamic Rotation Of Maxwellian Fluid With Fluctuating Thermal Conductivity, Yasir Iqbal, Iqra Batool, Zia Ur Rehman
International Journal of Emerging Multidisciplinaries: Mathematics
This investigation examined the behavior of an overhead-connected Maxwell (UCM) fluid within a rotating framework, with consideration for variations in thermal conductivity based on temperature. The heat deportation process was simulated by incorporating a non-Fourier heat flux term, accounting for thermal relaxation effects. The governing set of partial differential equations underwent decomposition through boundary layer approximations, followed by employing similarity transformations to convert them into self-similar forms. To investigate the effect of the rotation criterion ($\lambda$), Prandtl number (Pr), Deborah number ($\beta$), parameter ($\epsilon$), and dimensionless thermal relaxation time ($\gamma$), an advanced three-stage Lobatto IIIa numerical method was applied. The …
Thermodynamic Laws Of Billiards-Like Microscopic Heat Conduction Models,
2023
University of Massachusetts Amherst
Thermodynamic Laws Of Billiards-Like Microscopic Heat Conduction Models, Ling-Chen Bu
Doctoral Dissertations
In this thesis, we study the mathematical model of one-dimensional microscopic heat conduction of gas particles, applying both both analytical and numerical approaches. The macroscopic law of heat conduction is the renowned Fourier’s law J = −k∇T, where J is the local heat flux density, T(x, t) is the temperature gradient, and k is the thermal conductivity coefficient that characterizes the material’s ability to conduct heat. Though Fouriers’s law has been discovered since 1822, the thorough understanding of its microscopic mechanisms remains challenging [3] (2000). We assume that the microscopic model of heat conduction is a hard ball system. The …
Effect Of Under-Reporting, Vaccine Efficiency And Social Behavior On Epidemic Progression,
2023
Illinois State University
Effect Of Under-Reporting, Vaccine Efficiency And Social Behavior On Epidemic Progression, Samiran Ghosh, Samiran Ghosh
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Long-Acting Cabotegravir And The Emergence Of Drug-Resistant Hiv,
2023
Howard University
Long-Acting Cabotegravir And The Emergence Of Drug-Resistant Hiv, Katharine Gurski
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Utilizing Non-Negative Least Squares For Data-Driven Discovery Of Dynamics,
2023
George Mason University
Utilizing Non-Negative Least Squares For Data-Driven Discovery Of Dynamics, Tracey G. Oellerich
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Incorporating Adaptive Human Behavior Into Epidemiological Models Using Equation Learning,
2023
Georgia Institute of Technology - Main Campus
Incorporating Adaptive Human Behavior Into Epidemiological Models Using Equation Learning, Austin Barton, Jordan Klein, Jonathan Greer, Kevin Flores, Patrick Haughey
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Computational Modeling Using A Novel Continuum Approach Coupled With Pathway-Informed Neural Networks To Optimize Dynein-Mediated Centrosome Positioning In Polarized Cells,
2023
George Mason University
Computational Modeling Using A Novel Continuum Approach Coupled With Pathway-Informed Neural Networks To Optimize Dynein-Mediated Centrosome Positioning In Polarized Cells, Arkaprovo Ghosal, Padmanabhan Seshaiyar Dr., Adriana Dawes Dr., General Genomics Inc.
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
An Ode Model For Investigating The Sleep-Pain Relationship In Sickle Cell Disease,
2023
Virginia Commonwealth University
An Ode Model For Investigating The Sleep-Pain Relationship In Sickle Cell Disease, Quindel Jones, Angela Reynolds, Rebecca Segal, Reginald Mcgee
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Baa-Ttling Sore Mouth In Sheep With Mathematical Modeling,
2023
University of Wisconsin-La Crosse
Baa-Ttling Sore Mouth In Sheep With Mathematical Modeling, David C. Elzinga, W. Christopher Strickland
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Understanding Impact Of Educational Awareness And Vaccines As Optimal Control Mechanisms For Changing Human Behavior In Disease Epidemics,
2023
George Mason University
Understanding Impact Of Educational Awareness And Vaccines As Optimal Control Mechanisms For Changing Human Behavior In Disease Epidemics, Manal Badgaish, Dr. Padmanabhan Seshaiyer
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Parameter Estimation In Epidemiological And Climate Models Using Ensemble Smoothing With Multiple Data Assimilation,
2023
George Mason University
Parameter Estimation In Epidemiological And Climate Models Using Ensemble Smoothing With Multiple Data Assimilation, Emmanuel Fleurantin
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Multi-Model Approach To Understanding Growth, Reproduction, And Life History Strategies In Bromeliads,
2023
Rhodes College
A Multi-Model Approach To Understanding Growth, Reproduction, And Life History Strategies In Bromeliads, Erin N. Bodine
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling-Forward Initiatives In Differential Equations,
2023
Virginia Commonwealth University
Modeling-Forward Initiatives In Differential Equations, Laura Ellwein
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Exploring Disease Spread Patterns In A Heterogeneous Environment: The Impact Of Travel Restrictions,
2023
Illinois State University
Exploring Disease Spread Patterns In A Heterogeneous Environment: The Impact Of Travel Restrictions, Seoyun Choe
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Behavioral Epidemic Model: A Simulation And Empirical Analysis,
2023
Virginia Polytechnic Institute and State University
A Behavioral Epidemic Model: A Simulation And Empirical Analysis, Ann Osi, Navid Ghaffarzadegan
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
