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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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413 full-text articles. Page 1 of 17.

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.


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 ...


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.


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.


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.


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.


Galois Groups Of Differential Equations And Representing Algebraic Sets, Eli Amzallag 2018 The Graduate Center, City University of New York

Galois Groups Of Differential Equations And Representing Algebraic Sets, Eli Amzallag

All Dissertations, Theses, and Capstone Projects

The algebraic framework for capturing properties of solution sets of differential equations was formally introduced by Ritt and Kolchin. As a parallel to the classical Galois groups of polynomial equations, they devised the notion of a differential Galois group for a linear differential equation. Just as solvability of a polynomial equation by radicals is linked to the equation’s Galois group, so too is the ability to express the solution to a linear differential equation in "closed form" linked to the equation’s differential Galois group. It is thus useful even outside of mathematics to be able to compute and ...


Spectra Of Quantum Trees And Orthogonal Polynomials, Zhaoxia Wang 2018 Louisiana State University and Agricultural and Mechanical College

Spectra Of Quantum Trees And Orthogonal Polynomials, Zhaoxia Wang

LSU Doctoral Dissertations

We investigate the spectrum of regular quantum-graph trees, where the edges are endowed with a Schr\"odinger operator with self-adjoint Robin vertex conditions. It is known that, for large eigenvalues, the Robin spectrum approaches the Neumann spectrum. In this research, we compute the lower Robin spectrum. The spectrum can be obtained from the roots of a sequence of orthogonal polynomials involving two variables. As the length of the quantum tree increases, the spectrum approaches a band-gap structure. We find that the lowest band tends to minus infinity as the Robin parameter increases, whereas the rest of the bands remain positive ...


Generation Of Nonlinear-Differential-Equations System From A Model Of Boolean Relationships In Arabidopsis Salt Stress Network, Renee Dale 2018 Louisiana State University and Agricultural and Mechanical College

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 2018 Florida State University

Modeling Hcv Interactions With P53: Implications For Carcinogenesis, Harsh Jain

Biology and Medicine Through Mathematics Conference

No abstract provided.


Disruption Of Synchronous Behavior In Pancreatic Islets Via Hub Cells, Janita Patwardhan 2018 University of Maryland - Baltimore County

Disruption Of Synchronous Behavior In Pancreatic Islets Via Hub Cells, Janita Patwardhan

Biology and Medicine Through Mathematics Conference

No abstract provided.


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