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Articles 1 - 30 of 141
Full-Text Articles in Dynamic Systems
Human-Centered Modeling Of Traffic As A Complex System, Poorendra P. Ramlall
Human-Centered Modeling Of Traffic As A Complex System, Poorendra P. Ramlall
Discovery Day - Daytona Beach
Traffic systems are driven not only by motion, but by interaction: vehicles influence one another, drivers continuously adapt to surrounding behaviour, and cognitive processes shape decisions that can propagate through the flow of traffic. Understanding these layered interactions is essential for improving traffic safety and for designing the next generation of intelligent, connected, and automated transportation systems. This PhD research develops a multiscale, data-driven framework for identifying, modelling, and ultimately interpreting interaction structure in traffic systems. The work first established an information-theoretic basis for this problem, demonstrating how information flow can uncover directional relationships in traffic dynamics and help infer …
Supply Chain Analysis: The Oregonator Autocatalytic Case Study, Abigail Butcher
Supply Chain Analysis: The Oregonator Autocatalytic Case Study, Abigail Butcher
Discovery Day - Daytona Beach
Understanding stability in complex supply chains remains a critical challenge due to nonlinear feedback, delayed responses, and sensitivity to parameter changes. This project presents a novel framework that applies bifurcation analysis to evaluate system stability, using the Oregonator autocatalytic chemical reaction model as an analog for supply chain dynamics. A parameter sweep of key model variables, particularly the stoichiometric factor f and the reaction rate constants k, is used to identify transitions between stable and oscillatory regimes. These transitions provide insight into how variations in feedback strength can drive instability in real-world systems. The framework will then be extended to …
Numerical Modeling Of Thermo-Poroelasticity Using Finite Element Method, Maya Mckean
Numerical Modeling Of Thermo-Poroelasticity Using Finite Element Method, Maya Mckean
Discovery Day - Daytona Beach
We propose a numerical method for solving and modeling thermo-poroelasticity problems using a finite element formulation. Thermo-poroelasticity models describe the coupled interaction between mechanical deformation, fluid flow, and heat transfer in specific materials or environments over time. These models demonstrate the evolution of displacement, pressure, and temperature; we compute these fields in this work using backward Euler time discretization and Enriched Galerkin finite element spatial discretization. For these computations we used FreeFEM, a partial differential equation solver that uses the finite element method, which produced our numerical results. We then compared these values with the expected analytical solution. This was …
Ai-Driven Scheduling Algorithms For Private Aviation, Tayan Benson, Jessica Buskey, Gabriel Camacho, Caitlyn A. Gabrinowitz
Ai-Driven Scheduling Algorithms For Private Aviation, Tayan Benson, Jessica Buskey, Gabriel Camacho, Caitlyn A. Gabrinowitz
Discovery Day - Daytona Beach
Private aviation scheduling is complex and dynamic, requiring frequent aircraft repositioning based on demand and operational constraints, unlike fixed commercial airline schedules. As fleets grow beyond 300 aircraft, traditional deterministic methods become too slow, leading to the use of approaches such as genetic algorithms, but neural network-based methods have not seen in-depth exploration. This project models aircraft scheduling as a network, where airports and flights form a graph. It explores advanced AI methods, including graph neural networks and spatio-temporal graph neural networks (STGNNs), to capture both network structure and time constraints. The goal is to generate efficient daily schedules from …
The Motion Of A Falling Object Under Linear Drag And How Differential Equations Can Be Used To Find It, Lukas Estrella
The Motion Of A Falling Object Under Linear Drag And How Differential Equations Can Be Used To Find It, Lukas Estrella
Discovery Day - Daytona Beach
This project, "The Motion of a Falling Object Under Linear Drag and How Differential Equations Can Be Used To Find It," investigates the motion of a falling object subject to air resistance through a combination of mathematical modeling and fundamental physical principles. The analysis is grounded in Newton’s second law, which yields a differential equation describing the forces acting on the object. Assuming a linear drag model, in which the resistive force is proportional to velocity, the governing equation reduces to a first-order ordinary differential equation for velocity. This equation is solved using the integrating factor method, yielding an explicit …
Modeling Population Growth With Logistic And Modified Logistic Equations, Mihil Dimpal Patel
Modeling Population Growth With Logistic And Modified Logistic Equations, Mihil Dimpal Patel
Discovery Day - Daytona Beach
Population growth models are essential tools for understanding how biological populations change over time under environmental constraints. This study examines population dynamics by comparing the classical exponential growth model with the logistic growth model. While exponential growth assumes unlimited resources and results in unbounded population increase, the logistic model incorporates a carrying capacity that limits growth as resources become scarce. To better represent real-world conditions, the logistic model is extended by introducing modifications such as harvesting terms and time-varying carrying capacities, which account for external removal of individuals and changing environmental limits. The equilibria of these models are determined, and …
Dynamics Of A Two-Stage Epidemiological Model With Post-Infection Mortality And Transmission Heterogeneity, B Sagar
Biology and Medicine Through Mathematics Conference
No abstract provided.
The Dynamics Of Synchrony On Replicating Biological Populations, Montse Torres Garcia, Kevin Mcgoff, Francis Motta, Breschine Cummins, Steve Haase
The Dynamics Of Synchrony On Replicating Biological Populations, Montse Torres Garcia, Kevin Mcgoff, Francis Motta, Breschine Cummins, Steve Haase
Biology and Medicine Through Mathematics Conference
No abstract provided.
Gap Junction Architecture And Synchronization Clusters In The Thalamic Reticular Nuclei, Alex Norwood
Gap Junction Architecture And Synchronization Clusters In The Thalamic Reticular Nuclei, Alex Norwood
Biology and Medicine Through Mathematics Conference
No abstract provided.
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.
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.
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.
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.
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] 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.
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.
Mathematical Models Of Disease Transmission In Long-Term Care Facilities, Cara Sulyok
Mathematical Models Of Disease Transmission In Long-Term Care Facilities, Cara Sulyok
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling Dengue Transmission: Data Assimilation, Identifiability, Reproduction Number, And Stability Analysis, Owen Mcmann
Modeling Dengue Transmission: Data Assimilation, Identifiability, Reproduction Number, And Stability Analysis, Owen Mcmann
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Can We End The Hiv Epidemic In The U.S.? Linking Clinical And National Surveillance Data Through Multiscale Modeling From Patients To Populations, Necibe Tuncer
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
[Lele] Measles And Mandates– What Will Happen If Florida Repeals The Mmr Vaccine Mandate?, Alice Oveson, Abba Gumel
[Lele] Measles And Mandates– What Will Happen If Florida Repeals The Mmr Vaccine Mandate?, Alice Oveson, Abba Gumel
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.
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.
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.
Meta-Clustering For Specialized Language Models: Enhancing Contextual Adaptation And Mitigating Hallucinations In Diverse Healthcare Environments, Joshit Mohanty, Vaishali Vaishali, Sandeep Kumar Nayak, Sumit Lahiri
Meta-Clustering For Specialized Language Models: Enhancing Contextual Adaptation And Mitigating Hallucinations In Diverse Healthcare Environments, Joshit Mohanty, Vaishali Vaishali, Sandeep Kumar Nayak, Sumit Lahiri
Graduate Student Government Association Research Conference
Large Language Models (LLMs) have significantly advanced conversational AI by enabling dialogic information-seeking and task execution across diverse domains. However, their extensive parameters and broad domain scope lead to “data hallucinations.” These shortcomings are particularly evident in dynamic and diverse environments like India’s healthcare sector, where myriad languages, regional practices, and cultural nuances demand specialized, localized expertise rather than one-size-fits-all generalist models. This paper introduces a meta-clustering framework that integrates Distilled Language Models (DLMs) and Small/Specialized Language Models (SLMs) with meta-learning principles to address these limitations. By drawing on evidence from works such as MedHalu and Med-HALT, the framework seeks …
A Dynamical Systems Approach For Modeling Malware Propagating Through A Network And Potential Solutions Towards Mitigating Spread, James Johnson
A Dynamical Systems Approach For Modeling Malware Propagating Through A Network And Potential Solutions Towards Mitigating Spread, James Johnson
Cybersecurity Undergraduate Research Showcase
Many people draw close parallels between malware propagating through a network and an epidemic spreading through a population. Epidemics are often modeled by a Susceptible-Infected-Recovered (SIR) model, in which a similar system of equations can model the spread of a virus through a computer network, and can be simplified when making assumptions about the network itself and its fixed number of nodes and edges. In this instance, malware propagating in a network also should reflect the network it is propagating through, in which the dynamical system will factor in the nodes of the network and their properties. The system itself …
Shevtsov: Growing Pains And Growing Gains: The Arizona Experience, Tynan Lazarus, Jane Shevtsov
Shevtsov: Growing Pains And Growing Gains: The Arizona Experience, Tynan Lazarus, Jane Shevtsov
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Kreig: Examining Affinity Maturation And Antigenic Drift With An Agent-Based Model, Jasmine Af Kreig, Jannatul Ferdous, Ruian Ke, Ruy M. Ribeiro
Kreig: Examining Affinity Maturation And Antigenic Drift With An Agent-Based Model, Jasmine Af Kreig, Jannatul Ferdous, Ruian Ke, Ruy M. Ribeiro
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.