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Ordinary Differential Equations and Applied Dynamics Commons

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All Articles in Ordinary Differential Equations and Applied Dynamics

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Multidisciplinary Education And Research In Biomathematics For Solving Global Challenges, Padmanabhan Seshaiyer 2019 Illinois State University

Multidisciplinary Education And Research In Biomathematics For Solving Global Challenges, Padmanabhan Seshaiyer

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Call For Abstracts - Resrb 2019, July 8-9, Wrocław, Poland, Wojciech M. Budzianowski 2018 Wojciech Budzianowski Consulting Services

Call For Abstracts - Resrb 2019, July 8-9, Wrocław, Poland, Wojciech M. Budzianowski

Wojciech Budzianowski

No abstract provided.


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

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 2018 University of New Mexico - Main Campus

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 Differential ...


A Mathematical Framework On Machine Learning: Theory And Application, Bin Shi 2018 Florida International University

A Mathematical Framework On Machine Learning: Theory And Application, Bin Shi

FIU Electronic Theses and Dissertations

The dissertation addresses the research topics of machine learning outlined below. We developed the theory about traditional first-order algorithms from convex opti- mization and provide new insights in nonconvex objective functions from machine learning. Based on the theory analysis, we designed and developed new algorithms to overcome the difficulty of nonconvex objective and to accelerate the speed to obtain the desired result. In this thesis, we answer the two questions: (1) How to design a step size for gradient descent with random initialization? (2) Can we accelerate the current convex optimization algorithms and improve them into nonconvex objective? For application ...


Bifurcation Analysis Of Two Biological Systems: A Tritrophic Food Chain Model And An Oscillating Networks Model, Xiangyu Wang 2018 The University of Western Ontario

Bifurcation Analysis Of Two Biological Systems: A Tritrophic Food Chain Model And An Oscillating Networks Model, Xiangyu Wang

Electronic Thesis and Dissertation Repository

In this thesis, we apply bifurcation theory to study two biological systems. Main attention is focused on complex dynamical behaviors such as stability and bifurcation of limit cycles. Hopf bifurcation is particularly considered to show bistable or even tristable phenomenon which may occur in biological systems. Recurrence is also investigated to show that such complex behavior is common in biological systems.

First we consider a tritrophic food chain model with Holling functional response types III and IV for the predator and superpredator, respectively. Main attention is focused on the sta- bility and bifurcation of equilibria when the prey has a ...


Ecology And Evolution Of Dispersal In Metapopulations, Jingjing Xu 2018 The University of Western Ontario

Ecology And Evolution Of Dispersal In Metapopulations, Jingjing Xu

Electronic Thesis and Dissertation Repository

Dispersal plays a key role in the persistence of metapopulations, as the balance between local extinction and colonization is affected by dispersal. Herein, I present three pieces of work related to dispersal. The first two are devoted to the ecological aspect of delayed dispersal in metapopulations. The first one focuses on how dispersal may disrupt the social structure on patches from which dispersers depart. Examinations of bifurcation diagrams of the dynamical system show a metapopulation will, in general, be either in the state of global extinction or persistence, and dispersal only has a limited effect on metapopulation persistence. The second ...


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

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 2018 Illinois State University

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 2018 The California Maritime Academy

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 2018 Illinois State University

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 2018 Illinois State University

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 2018 Illinois State University

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 2018 Illinois State University

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.


A Household Model Of German Cockroach Infestations And Their Effect On Symptoms Of Atopic Asthma, Karen Funderburk 2018 Illinois State University

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.


Mathematical Modeling And Simulation With Deep Learning Methods Of Cancer Growth For Patient-Specific Therapy, Vishal Kobla, Joshua P. Smith, Pranav Unni, Padmanabhan Seshaiyer 2018 Academies of Loudoun

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 2018 Illinois State University

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.


Implications From Two Prostate Cancer Models For Intermittent Therapy, Tin Phan 2018 Illinois State University

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 2018 Illinois State University

Tumour-Immune Dynamics With An Immune Checkpoint Inhibitor, Elpiniki Nikolopoulou

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Parameter Sensitivity For In Vitro Anthrax Studies, Yareley Gonzalez, Maria Macias-Bedolla, Megan O. Powell 2018 University of St Francis

Parameter Sensitivity For In Vitro Anthrax Studies, Yareley Gonzalez, Maria Macias-Bedolla, Megan O. Powell

Spora: A Journal of Biomathematics

Studies done on interactions between spores and macrophages done in vitro show inconsistent results based on experimental protocol and inhibit meaningful extrapolation to in vivo. In this study, we perform a sensitivity analysis of a model representing in vitro studies of interactions between anthrax spores and macrophages to help address the effects of these inconsistencies. We perform both local and global analyses using Latin hypercube sampling and partial rank correlation coefficients. Our analysis indicates the amount of intracellular bacteria over time is most sensitive to the killing of intracellular bacteria by the macrophages and replication of the bacteria inside the ...


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