Southeastern University - Lakeland
Claremont McKenna College
Western Kentucky University
Georgia Southern University
Universidad de La Salle, Bogotá
Louisiana State University and Agricultural and Mechanical College
University of Tennessee - Knoxville
Old Dominion University
Minnesota State University - Mankato
Division of Biostatistics, School of Public Health, University of California, Berkeley
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 …
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 …
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.
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.
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.
Thoracoabdominal Asynchrony In A Virtual Preterm Infant: Computational Modeling And Analysis,
2023
Virginia Commonwealth University
Thoracoabdominal Asynchrony In A Virtual Preterm Infant: Computational Modeling And Analysis, Richard R. Foster, Bradford Smith, Laura Ellwein Fix
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling Single And Multiple Pacemaker Interaction In Jellyfish Locomotion,
2023
Illinois State University
Modeling Single And Multiple Pacemaker Interaction In Jellyfish Locomotion, Alexander Hoover
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Minimization Of Diet For Optimum Consumption Using Linear Programming,
2023
Texas A&M University-Commerce
Minimization Of Diet For Optimum Consumption Using Linear Programming, Nita Ngozi Ezekwem, Aditi Ghosh
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Helices In Fluids And Applications To Modeling In Biology,
2023
James Madison University
Helices In Fluids And Applications To Modeling In Biology, Eva M. Strawbridge
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Lnksc Method On Pde-Constrained Optimization For Mcf-7 Breast Cancer Cell Growth Predictions And Treatment Response With Gold Nanoparticles,
2023
Jarvis Christian College
Lnksc Method On Pde-Constrained Optimization For Mcf-7 Breast Cancer Cell Growth Predictions And Treatment Response With Gold Nanoparticles, Widodo Samyono, Shakhawat Bhuiyan
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Disease Informed Neural Network And Mathematical Modeling Of Covid-19 With Human Behavior Modification,
2023
George Mason University
Disease Informed Neural Network And Mathematical Modeling Of Covid-19 With Human Behavior Modification, Alonso Gabriel Ogueda, Jeremis Morales-Morales, Carmen Caiseda, Padmanabhan Seshaiyer
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Physics-Informed Neural Networks For Agent-Based Epidemiological Model Calibration,
2023
Harvard University
Physics-Informed Neural Networks For Agent-Based Epidemiological Model Calibration, Alvan C. Arulandu, Padmanabhan Seshaiyer
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling The Communication Dynamics In Human-Autonomy Teams: Insights From Search And Rescue Scenarios,
2023
Arizona State University at the Tempe Campus
Modeling The Communication Dynamics In Human-Autonomy Teams: Insights From Search And Rescue Scenarios, Carlos E. Bustamante Orellana, Lucero Rodriguez Rodriguez, Yun Kang
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mathematical Modeling Of The Impact Of Lobbying On Climate Policy,
2023
Jack M Barrack Hebrew Academy
Mathematical Modeling Of The Impact Of Lobbying On Climate Policy, Andrew Jacoby, Claire Hannah, James Hutchinson, Jasmine Narehood, Aditi Ghosh, Padmanabhan Seshaiyer
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Computational Study Of Twin Circular Particles Settling In Fluid Using A Fictitious Boundary Approach,
2023
Department of Mathematics, Air University, PAF Complex, Islamabad 44000, Pakistan
Computational Study Of Twin Circular Particles Settling In Fluid Using A Fictitious Boundary Approach, Imran Abbas, Kamran Usman
International Journal of Emerging Multidisciplinaries: Mathematics
The objective of this study is to examine the performance of two adjacent solid particles as they settle in close nearness, with a focus on comprehending the intricate interactions between the particles and the surrounding fluid during the process of sediment transport. Simulations are conducted with different initial horizontal spacing between particles and Reynolds numbers (Re). The findings of the simulations highlight the impact of the initial spacing between particles and Reynolds numbers (Re) as key factors influencing the ultimate settling velocity and separation distance. In general, when the initial spacing between particles is small and the Reynolds number (Re) …
Modeling Nonsegmented Negative-Strand Rna Virus (Nnsv) Transcription With Ejective Polymerase Collisions And Biased Diffusion,
2023
Baylor College of Medicine
Modeling Nonsegmented Negative-Strand Rna Virus (Nnsv) Transcription With Ejective Polymerase Collisions And Biased Diffusion, Felipe-Andres Piedra
Research Symposium
Background: The textbook model of NNSV transcription predicts a gene expression gradient. However, multiple studies show non-gradient gene expression patterns or data inconsistent with a simple gradient. Regarding the latter, several studies show a dramatic decrease in gene expression over the last two genes of the respiratory syncytial virus (RSV) genome (a highly studied NNSV). The textbook model cannot explain these phenomena.
Methods: Computational models of RSV and vesicular stomatitis virus (VSV – another highly studied NNSV) transcription were written in the Python programming language using the Scientific Python Development Environment. The model code is freely available on GitHub: …
Time-Fractional Navier-Stokes Equation Solved By Fractional Variation Of Parameters Method: An Analytic Approach,
2023
Department of Mathematics, The Sahara University, Narowal, 51600 Pakistan
Time-Fractional Navier-Stokes Equation Solved By Fractional Variation Of Parameters Method: An Analytic Approach, Muhammad Shakil Shaiq, Shoaib Ali, Azeem Shahzad, Tahir Naseem
International Journal of Emerging Multidisciplinaries: Mathematics
In this investigation, we make use of the Variation of Parameters Method (VPM) to find a solution to the nonlinear time-fractional Navier-Stokes equation. Additionally, the fractional derivative in the sense of Riemann-Liouville is presented and discussed. Within the scope of this investigation, the Variation of Parameters Method (VPM) has been modified to include a fractional multiplier. The Fractional Variation of Parameters Method (FVPM) was created as an iterative way to solve the time-fractional nonlinear time-fractional Navier-Stokes equation. According to the findings of the calculations, the newly developed algorithm (FVPM) is compatible, accurate, and reliable.
An Implementation Of The Method Of Moments On Chemical Systems With Constant And Time-Dependent Rates,
2023
University of Alabama, Tuscaloosa
An Implementation Of The Method Of Moments On Chemical Systems With Constant And Time-Dependent Rates, Emmanuel O. Adara, Roger B. Sidje
Northeast Journal of Complex Systems (NEJCS)
Among numerical techniques used to facilitate the analysis of biochemical reactions, we can use the method of moments to directly approximate statistics such as the mean numbers of molecules. The method is computationally viable in time and memory, compared to solving the chemical master equation (CME) which is notoriously expensive. In this study, we apply the method of moments to a chemical system with a constant rate representing a vascular endothelial growth factor (VEGF) model, as well as another system with time-dependent propensities representing the susceptible, infected, and recovered (SIR) model with periodic contact rate. We assess the accuracy of …
Boundary Integral Equation Methods For Superhydrophobic Flow And Integrated Photonics,
2023
New Jersey Institute of Technology
Boundary Integral Equation Methods For Superhydrophobic Flow And Integrated Photonics, Kosuke Sugita
Dissertations
This dissertation presents fast integral equation methods (FIEMs) for solving two important problems encountered in practical engineering applications.
The first problem involves the mixed boundary value problem in two-dimensional Stokes flow, which appears commonly in computational fluid mechanics. This problem is particularly relevant to the design of microfluidic devices, especially those involving superhydrophobic (SH) flows over surfaces made of composite solid materials with alternating solid portions, grooves, or air pockets, leading to enhanced slip.
The second problem addresses waveguide devices in two dimensions, governed by the Helmholtz equation with Dirichlet conditions imposed on the boundary. This problem serves as a …
