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Ordinary Differential Equations and Applied Dynamics Commons™
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Articles 1 - 22 of 22
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Creating A Computational Tool To Simulate Vibration Control For Piezoelectric Devices, Ahmet Ozkan Ozer, Emma J. Moore
Creating A Computational Tool To Simulate Vibration Control For Piezoelectric Devices, Ahmet Ozkan Ozer, Emma J. Moore
Posters-at-the-Capitol
Piezoelectric materials have the unique ability to convert electrical energy to mechanical vibrations and vice versa. This project takes a stab to develop a reliable computational tool to simulate the vibration control of a novel “partial differential equation” model for a piezoelectric device, which is designed by integrating electric conducting piezoelectric layers constraining a viscoelastic layer to provide an active and lightweight intelligent structure. Controlling unwanted vibrations on piezoelectric devices (or harvesting energy from ambient vibrations) through piezoelectric layers has been the major focus in cutting-edge engineering applications such as ultrasonic welders and inchworms. The corresponding mathematical models for piezoelectric …
Reaction Simulations: A Rapid Development Framework, Brendan Drake Donohoe
Reaction Simulations: A Rapid Development Framework, Brendan Drake Donohoe
Shared Knowledge Conference
Chemical Reaction Networks (CRNs) are a popular tool in the chemical sciences for providing a means of analyzing and modeling complex reaction systems. In recent years, CRNs have attracted attention in the field of molecular computing for their ability to simulate the components of a digital computer. The reactions within such networks may occur at several different scales relative to one another – at rates often too difficult to directly measure and analyze in a laboratory setting. To facilitate the construction and analysis of such networks, we propose a reduced order model for simulating such networks as a system of …
A Mathematical Model Of The Inflammatory Response To Pathogen Challenge, Lester Caudill, Fiona Lynch
A Mathematical Model Of The Inflammatory Response To Pathogen Challenge, Lester Caudill, Fiona Lynch
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling The Transmission Of Wolbachia In Mosquitoes For Controlling Mosquito-Borne Diseases, Zhuolin Qu
Modeling The Transmission Of Wolbachia In Mosquitoes For Controlling Mosquito-Borne Diseases, Zhuolin Qu
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Calcium Signaling In The Sperm Head, Julie Simons, Lisa Fauci
Calcium Signaling In The Sperm Head, Julie Simons, Lisa Fauci
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Combinatorial Geometry Of Threshold-Linear Networks, Christopher Langdon
Combinatorial Geometry Of Threshold-Linear Networks, Christopher Langdon
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
The Regressive Burden Of Water-Related Infections On Income Disparity In Ecuador, Cesar Montalvo
The Regressive Burden Of Water-Related Infections On Income Disparity In Ecuador, Cesar Montalvo
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Dynamics Of A Stoichiometric Producer-Grazer System With Seasonal Effects On Light Level, Lale Asik
Dynamics Of A Stoichiometric Producer-Grazer System With Seasonal Effects On Light Level, Lale Asik
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Introducing The Fractional Differentiation For Clinical Data-Justified Prostate Cancer Modelling Under Iad Therapy, Ozlem Ozturk Mizrak
Introducing The Fractional Differentiation For Clinical Data-Justified Prostate Cancer Modelling Under Iad Therapy, Ozlem Ozturk Mizrak
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Implications From Two Prostate Cancer Models For Intermittent Therapy, Tin Phan
Implications From Two Prostate Cancer Models For Intermittent Therapy, Tin Phan
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Tumour-Immune Dynamics With An Immune Checkpoint Inhibitor, Elpiniki Nikolopoulou
Tumour-Immune Dynamics With An Immune Checkpoint Inhibitor, Elpiniki Nikolopoulou
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mathematical Modeling And Simulation With Deep Learning Methods Of Cancer Growth For Patient-Specific Therapy, Vishal Kobla, Joshua P. Smith, Pranav Unni, Padmanabhan Seshaiyer
Mathematical Modeling And Simulation With Deep Learning Methods Of Cancer Growth For Patient-Specific Therapy, Vishal Kobla, Joshua P. Smith, Pranav Unni, Padmanabhan Seshaiyer
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling The Dynamics Of Lyme Disease In A Tick-Mouse System Subject To Vaccination Of Mice Populations, Josean Velazquez-Molina
Modeling The Dynamics Of Lyme Disease In A Tick-Mouse System Subject To Vaccination Of Mice Populations, Josean Velazquez-Molina
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Household Model Of German Cockroach Infestations And Their Effect On Symptoms Of Atopic Asthma, Karen Funderburk
A Household Model Of German Cockroach Infestations And Their Effect On Symptoms Of Atopic Asthma, Karen Funderburk
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Generation Of Nonlinear-Differential-Equations System From A Model Of Boolean Relationships In Arabidopsis Salt Stress Network, Renee Dale
Biology and Medicine Through Mathematics Conference
No abstract provided.
Modeling Hcv Interactions With P53: Implications For Carcinogenesis, Harsh Jain
Modeling Hcv Interactions With P53: Implications For Carcinogenesis, Harsh Jain
Biology and Medicine Through Mathematics Conference
No abstract provided.
Quantifying Effects Of Neutrophil Memory On Migration Patterns Using Microfluidic Platforms And Ode Modeling Of The Mechanistic Molecular Pathways, Brittany P. Boribong, Mark J. Lenzi, Mirjam Sarah Kadelka, Stanca Ciupe, Liwu Li, Caroline N. Jonea
Quantifying Effects Of Neutrophil Memory On Migration Patterns Using Microfluidic Platforms And Ode Modeling Of The Mechanistic Molecular Pathways, Brittany P. Boribong, Mark J. Lenzi, Mirjam Sarah Kadelka, Stanca Ciupe, Liwu Li, Caroline N. Jonea
Biology and Medicine Through Mathematics Conference
No abstract provided.
Disruption Of Synchronous Behavior In Pancreatic Islets Via Hub Cells, Janita Patwardhan
Disruption Of Synchronous Behavior In Pancreatic Islets Via Hub Cells, Janita Patwardhan
Biology and Medicine Through Mathematics Conference
No abstract provided.
Modeling Pharmaceutical Inhibition Of Glucose-Stimulated Renin-Angiotensin System In Kidneys, Ashlee N. Ford Versypt, Minu R. Pilvankar, Hui Ling Yong
Modeling Pharmaceutical Inhibition Of Glucose-Stimulated Renin-Angiotensin System In Kidneys, Ashlee N. Ford Versypt, Minu R. Pilvankar, Hui Ling Yong
Biology and Medicine Through Mathematics Conference
No abstract provided.
Staged Hiv Transmission And Treatment In A Dynamic Model With Concurrency, Katharine Gurski, Kathleen Hoffman
Staged Hiv Transmission And Treatment In A Dynamic Model With Concurrency, Katharine Gurski, Kathleen Hoffman
Biology and Medicine Through Mathematics Conference
No abstract provided.
Real Solution Of Dae And Pdae System, Zahra Mohammadi, Greg Reid
Real Solution Of Dae And Pdae System, Zahra Mohammadi, Greg Reid
Western Research Forum
General systems of differential equations don't have restrictions on the number or type of equations. For example, they can be over or under-determined, and also contain algebraic constraints (e.g. algebraic equations such as in Differential-Algebraic equations (DAE) and Partial differential algebraic equations (PDAE). Increasingly such general systems arise from mathematical modeling of engineering and science problems such as in multibody mechanics, electrical circuit design, optimal control, chemical kinetics and chemical control systems. In most applications, only real solutions are of interest, rather than complex-valued solutions. Much progress has been made in exact differential elimination methods, which enable characterization of all …
Asymptotic Estimate Of Variance With Applications To Stochastic Differential Equations Arises In Mathematical Neuroscience, Mahbubur Rahman 6203748
Asymptotic Estimate Of Variance With Applications To Stochastic Differential Equations Arises In Mathematical Neuroscience, Mahbubur Rahman 6203748
Showcase of Faculty Scholarly & Creative Activity
Approximation of stochastic differential equations (SDEs) with parametric noise plays an important role in a range of application areas, including engineering, mechanics, epidemiology, and neuroscience. A complete understanding of SDE theory with perturbed noise requires familiarity with advanced probability and stochastic processes. In this paper, we derive an asymptotic estimate of variance, and it is shown that numerical method gives a useful step toward solving SDEs with perturbed noise. Our goal is to diffuse the results to an audience not entirely familiar with functional notations or semi-group theory, but who might nonetheless be interested in the practical simulation of dynamical …