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Applied Mathematics Commons

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2018

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Articles 1 - 30 of 64

Full-Text Articles in Applied Mathematics

Creating A Computational Tool To Simulate Vibration Control For Piezoelectric Devices, Ahmet Ozkan Ozer, Emma J. Moore Nov 2018

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 Nov 2018

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 …


Two Applications Of High Order Methods: Wave Propagation And Accelerator Physics, Oleksii Beznosov Nov 2018

Two Applications Of High Order Methods: Wave Propagation And Accelerator Physics, Oleksii Beznosov

Shared Knowledge Conference

Numerical simulations of partial differential equations (PDE) are used to predict the behavior of complex physics phenomena when the real life experiments are expensive. Discretization of a PDE is the representation of the continuous problem as a discrete problem that can be solved on a computer. The discretization always introduces a certain inaccuracy caused by the numerical approximation. By increasing the computational cost of the numerical algorithm the solution can be computed more accurately. In the theory of numerical analysis this fact is called the convergence of the numerical algorithm. The idea behind high order methods is to improve the …


Of Mice And Math: Four Models, Four Collaborations., Ami Radunskaya Oct 2018

Of Mice And Math: Four Models, Four Collaborations., Ami Radunskaya

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Novel Cell-Based Model Of The Generation And Maintenance Of The Shape And Structure Of The Multi-Layered Shoot Apical Meristem Of Arabidopsis Thaliana, Mikahl Banwarth-Kuhn, Ali Nematbakhsh, Stephen Snipes, Kevin Rodriguez, Carolyn Rasmussen, G. Venugopala Reddy, Mark Alber Oct 2018

Novel Cell-Based Model Of The Generation And Maintenance Of The Shape And Structure Of The Multi-Layered Shoot Apical Meristem Of Arabidopsis Thaliana, Mikahl Banwarth-Kuhn, Ali Nematbakhsh, Stephen Snipes, Kevin Rodriguez, Carolyn Rasmussen, G. Venugopala Reddy, Mark Alber

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


A Mathematical Model Of The Inflammatory Response To Pathogen Challenge, Lester Caudill, Fiona Lynch Oct 2018

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.


Analyzing Bigger Networks With Polynomial Algebra, Ian H. Dinwoodie Oct 2018

Analyzing Bigger Networks With Polynomial Algebra, Ian H. Dinwoodie

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Application Of Data Assimilation In Forecasting Of Influenza In The United States, Hannah Biegel Oct 2018

Application Of Data Assimilation In Forecasting Of Influenza In The United States, Hannah Biegel

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Semi-Tensor Product Representations Of Boolean Networks, Matthew Macauley Oct 2018

Semi-Tensor Product Representations Of Boolean Networks, Matthew Macauley

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 Oct 2018

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.


The Influence Of Canalization On The Robustness Of Finite Dynamical Systems, Claus Kadelka Oct 2018

The Influence Of Canalization On The Robustness Of Finite Dynamical Systems, Claus Kadelka

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Using Canalization For The Control Of Discrete Networks, David Murrugarra Oct 2018

Using Canalization For The Control Of Discrete Networks, David Murrugarra

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling Influenza Outbreaks On A College Campus, Eli Goldwyn, Subekshya Bidari Oct 2018

Modeling Influenza Outbreaks On A College Campus, Eli Goldwyn, Subekshya Bidari

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Student Research In Algebraic And Combinatorial Mathematical Biology, Raina Robeva Oct 2018

Student Research In Algebraic And Combinatorial Mathematical Biology, Raina Robeva

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Calcium Signaling In The Sperm Head, Julie Simons, Lisa Fauci Oct 2018

Calcium Signaling In The Sperm Head, Julie Simons, Lisa Fauci

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Dynamic Modeling Of Spread Of Waterborne Disease In Networks Impacting Public Health, Padmanabhan Seshaiyer Oct 2018

Dynamic Modeling Of Spread Of Waterborne Disease In Networks Impacting Public Health, Padmanabhan Seshaiyer

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Heterogeneities In The Transmission Dynamics Of Leishmaniasis: Modeling Implications On Sustained Drive To Control It From Neglected Regions, Anuj Mubayi Oct 2018

Heterogeneities In The Transmission Dynamics Of Leishmaniasis: Modeling Implications On Sustained Drive To Control It From Neglected Regions, Anuj Mubayi

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Dynamics Of Visceral Leishmaniasis For Different Distributions Of Non-Adherence To The Treatment In The Population Of Bihar, India And Its Effect On Elimination, Mugdha Thakur Oct 2018

Dynamics Of Visceral Leishmaniasis For Different Distributions Of Non-Adherence To The Treatment In The Population Of Bihar, India And Its Effect On Elimination, Mugdha Thakur

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Combinatorial Geometry Of Threshold-Linear Networks, Christopher Langdon Oct 2018

Combinatorial Geometry Of Threshold-Linear Networks, Christopher Langdon

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Extreme Climate Events And The Ecological Dynamics Of Plant-Herbivore Interactions, David C. Elzinga, Christopher A. Klausmeier, William C. Wetzel Oct 2018

Extreme Climate Events And The Ecological Dynamics Of Plant-Herbivore Interactions, David C. Elzinga, Christopher A. Klausmeier, William C. Wetzel

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 Oct 2018

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 Oct 2018

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.


Mathematical Modeling, Analysis And Simulation Of The Spread Of Gangs In The Youth Population Of Puerto Rico, Miguel Castro Rivera, Pradyuta Padmanabhan, Carmen Caiseda, Padmanabhan Seshaiyer Oct 2018

Mathematical Modeling, Analysis And Simulation Of The Spread Of Gangs In The Youth Population Of Puerto Rico, Miguel Castro Rivera, Pradyuta Padmanabhan, Carmen Caiseda, Padmanabhan Seshaiyer

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Dynamics Of Social Interactions And Agent Spreading In Ant Colonies: Effects Of Environmental Events And Spatial Heterogeneity, Yun Kang Oct 2018

Dynamics Of Social Interactions And Agent Spreading In Ant Colonies: Effects Of Environmental Events And Spatial Heterogeneity, Yun Kang

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Decision Making In A Changing Environment, Alan Veliz-Cuba Oct 2018

Decision Making In A Changing Environment, Alan Veliz-Cuba

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, Joshua Smith, Vishal Kobla, Pranav Unni, Maziar Raissi, Padmanabhan Seshaiyer Oct 2018

Mathematical Modeling And Simulation With Deep Learning Methods Of Cancer Growth For Patient-Specific Therapy, Joshua Smith, Vishal Kobla, Pranav Unni, Maziar Raissi, Padmanabhan Seshaiyer

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 Oct 2018

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.


Understanding The Impact Of Social Factors On The Transmission Dynamics Of Infectious Diseases, Victor Moreno Oct 2018

Understanding The Impact Of Social Factors On The Transmission Dynamics Of Infectious Diseases, Victor Moreno

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Using Pair Approximation Methods To Analyze Behavior Of A Probabilistic Cellular Automaton Model For Intracellular Cardiac Calcium Dynamics, Robert J. Rovetti Oct 2018

Using Pair Approximation Methods To Analyze Behavior Of A Probabilistic Cellular Automaton Model For Intracellular Cardiac Calcium Dynamics, Robert J. Rovetti

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Issues In Reproducible Simulation Research, Ben G. Fitzpatrick Oct 2018

Issues In Reproducible Simulation Research, Ben G. Fitzpatrick

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.