Strong Stability Of A Class Of Difference Equations Of Continuous Time And Structured Singular Value Problem, 2018 Nanjing University of Science and Technology

#### Strong Stability Of A Class Of Difference Equations Of Continuous Time And Structured Singular Value Problem, Qian Ma, Keqin Gu, Narges Choubedar

*SIUE Faculty Research, Scholarship, and Creative Activity*

This article studies the strong stability of scalar difference equations of continuous time in which the delays are sums of a number of independent parameters tau_i, i = 1, 2, . . . ,K. The characteristic quasipolynomial of such an equation is a multilinear function of exp(-tau_i s). It is known that the characteristic quasipolynomial of any difference equation set in the form of one-delayper- scalar-channel (ODPSC) model is also in such a multilinear form. However, it is shown in this article that some multilinear forms of quasipolynomials are not characteristic quasipolynomials of any ODPSC difference equation set. The equivalence between local strong ...

Model Selection And Permanence In A Stochastic Integrated Pest Management Model, 2017 Benedictine University

#### Model Selection And Permanence In A Stochastic Integrated Pest Management Model, Timothy Comar, Olcay Akman, Daniel Hrozencik

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Agent-Based Model For Integrated Pest Management With Periodic Control Strategies, 2017 Benedictine University

#### Agent-Based Model For Integrated Pest Management With Periodic Control Strategies, Timothy Comar, Elizabeth Rodriguez

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Stochastic And Deterministic Multigroup Epidemiology, 2017 Illinois Mathematics and Science Academy

#### Stochastic And Deterministic Multigroup Epidemiology, Jordan Hasler, Chris Chang, Ananya Yammanuru, Lewis Oh, Esther Matthew, Mounisha Kovour

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Yeast Cell Cycle And Metabolism Can Be Coupled In Nontrivial Ways., 2017 Illinois State University

#### Yeast Cell Cycle And Metabolism Can Be Coupled In Nontrivial Ways., Todd Young

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Modeling Microtubule-Based Transport In The Frog Egg Cell, 2017 Mathematical Biosciences Institute at OSU

#### Modeling Microtubule-Based Transport In The Frog Egg Cell, Maria-Veronica Ciocanel

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

A Model Of Dengue Transmission With Wolbachia-Free And Wolbachia-Infected Mosquitoes, 2017 Illinois State University

#### A Model Of Dengue Transmission With Wolbachia-Free And Wolbachia-Infected Mosquitoes, Iftikhar Ahmed

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Modeling Voting Dynamics In A Two-Party System: Social Interaction And Media Consumption, 2017 Illinois State University

#### Modeling Voting Dynamics In A Two-Party System: Social Interaction And Media Consumption, Caleb Ignace

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Circles, 2017 University of Southern California

#### Circles, Gabriel Leiner

*Gabriel Leiner*

Data Predictive Control Using Regression Trees And Ensemble Learning, 2017 University of Pennsylvania

#### Data Predictive Control Using Regression Trees And Ensemble Learning, Achin Jain, Francesco Smarra, Rahul Mangharam

*Real-Time and Embedded Systems Lab (mLAB)*

Decisions on how to best operate large complex plants such as natural gas processing, oil refineries, and energy efficient buildings are becoming ever so complex that model-based predictive control (MPC) algorithms must play an important role. However, a key factor prohibiting the widespread adoption of MPC, is the cost, time, and effort associated with learning first-principles dynamical models of the underlying physical system. An alternative approach is to employ learning algorithms to build black-box models which rely only on real-time data from the sensors. Machine learning is widely used for regression and classification, but thus far data-driven models have not ...

Modelling Walleye Population And Its Cannibalism Effect, 2017 The University of Western Ontario

#### Modelling Walleye Population And Its Cannibalism Effect, Quan Zhou

*Electronic Thesis and Dissertation Repository*

Walleye is a very common recreational fish in Canada with a strong cannibalism tendency, such that walleyes with larger sizes will consume their smaller counterparts when food sources are limited or a surplus of adults is present. Cannibalism may be a factor promoting population oscillation. As fish reach a certain age or biological stage (i.e. biological maturity), the number of fish achieving that stage is known as fish recruitment. The objective of this thesis is to model the walleye population with its recruitment and cannibalism effect. A matrix population model has been introduced to characterize the walleye population into ...

Designing A Finite-Time Mixer: Optimizing Stirring For Two-Dimensional Maps, 2017 University of Colorado Boulder

#### Designing A Finite-Time Mixer: Optimizing Stirring For Two-Dimensional Maps, James Meiss, Rebecca Mitchell

*Applied Mathematics Faculty Contributions*

Mixing of a passive scalar in a fluid flow results from a two part process in which large gradients are first created by advection and then smoothed by diffusion. We investigate methods of designing efficient stirrers to optimize mixing of a passive scalar in a two-dimensional, nonautonomous, incom- pressible flow over a finite-time interval. The flow is modeled by a sequence of area-preserving maps whose parameters change in time, defining a mixing protocol. Stirring efficiency is measured by a negative Sobolev seminorm; its decrease implies creation of fine-scale structure. A Perron–Frobenius operator is used to numerically advect the scalar ...

On Honey Bee Colony Dynamics And Disease Transmission, 2017 The University of Western Ontario

#### On Honey Bee Colony Dynamics And Disease Transmission, Matthew I. Betti

*Electronic Thesis and Dissertation Repository*

The work herein falls under the umbrella of mathematical modeling of disease transmission. The majority of this document focuses on the extent to which infection undermines the strength of a honey bee colony. These studies extend from simple mass-action ordinary differential equations models, to continuous age-structured partial differential equation models and finally a detailed agent-based model which accounts for vector transmission of infection between bees as well as a host of other influences and stressors on honey bee colony dynamics. These models offer a series of predictions relevant to the fate of honey bee colonies in the presence of disease ...

Modeling Economic Systems As Locally-Constructive Sequential Games, 2017 Iowa State University

#### Modeling Economic Systems As Locally-Constructive Sequential Games, Leigh Tesfatsion

*Economics Working Papers*

Real-world economies are open-ended dynamic systems consisting of heterogeneous interacting participants. Human participants are decision-makers who strategically take into account the past actions and potential future actions of other participants. All participants are forced to be locally constructive, meaning their actions at any given time must be based on their local states; and participant actions at any given time affect future local states. Taken together, these properties imply real-world economies are locally-constructive sequential games. This study discusses a modeling approach, agent-based computational economics (ACE), that permits researchers to study economic systems from this point of view. ACE modeling principles and ...

Noisy Neural Oscillators With Intrinsic And Network Heterogeneity, 2017 Virginia Commonwealth University

#### Noisy Neural Oscillators With Intrinsic And Network Heterogeneity, Kyle P. Wendling, Cheng Ly

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Comparison Of The Regulatory Dynamics Of Related Small Gene Regulatory Networks That Control The Response To Cold Shock In Saccharomyces Cerevisiae, 2017 Loyola Marymount University

#### Comparison Of The Regulatory Dynamics Of Related Small Gene Regulatory Networks That Control The Response To Cold Shock In Saccharomyces Cerevisiae, Natalie Williams

*Honors Thesis*

The Dahlquist Lab investigates the global, transcriptional response of *Sacchromyces cerevisiae*, baker’s yeast, to the environmental stress of cold shock, using DNA microarrays for the wild type strain and strains deleted for a particular regulatory transcription factor. Gene regulatory networks (GRNs) consist of transcription factors (TF), genes, and the regulatory connections between them that control the resulting mRNA and protein expression levels. We use mathematical modeling to determine the dynamics of the GRN controlling the cold shock response to determine the relative influence of each transcription factor in the network. A family of GRNs has been derived from the ...

Application Of Symplectic Integration On A Dynamical System, 2017 East Tennessee State University

#### Application Of Symplectic Integration On A Dynamical System, William Frazier

*Electronic Theses and Dissertations*

Molecular Dynamics (MD) is the numerical simulation of a large system of interacting molecules, and one of the key components of a MD simulation is the numerical estimation of the solutions to a system of nonlinear differential equations. Such systems are very sensitive to discretization and round-off error, and correspondingly, standard techniques such as Runge-Kutta methods can lead to poor results. However, MD systems are conservative, which means that we can use Hamiltonian mechanics and symplectic transformations (also known as canonical transformations) in analyzing and approximating solutions. This is standard in MD applications, leading to numerical techniques known as symplectic ...

Hawking Radiation And Classical Tunneling: A Numerical Study, 2017 College of William and Mary

#### Hawking Radiation And Classical Tunneling: A Numerical Study, Dmitriy Zhigunov

*Undergraduate Honors Theses*

Unruh [1] demonstrated that black holes have an analogy in acoustics. Under this analogy the acoustic event horizon is defined by the set of points in which the local background flow exceeds the local sound speed. In past work [2], we demonstrated that under a white noise source, the acoustic event horizon will radiate at a thermal spectrum via a classical tunneling process. In this work, I summarize the theory presented in [2] and nondimensionalize it in order to reduce the dynamical equations to one parameter, the coupling coefficient η2. Since η2 is the sole parameter of the system, we ...

Plateau Potential Fluctuations And Intrinsic Membrane Noise, 2017 College of William and Mary

#### Plateau Potential Fluctuations And Intrinsic Membrane Noise, Daniel Scott Borrus

*Undergraduate Honors Theses*

This thesis focuses on subthreshold membrane potential fluctuations in the plateau potentials of bistable neurons. Research involved with plateau potentials typically finds one of the resting membrane potentials to be more susceptible to voltage fluctuations. This difference in the amplitude of the membrane potential fluctuations is most often attributed to the voltage-dependent membrane conductance. Occasionally, however, the typically quieter resting membrane potential exhibits larger voltage fluctuations than the expected one. It has been proposed that this increased membrane potential noise is the result of the stochastic gating of the voltage-gated ion channels. In this thesis, we use a simple bistable ...

Comparing Methods Of Measuring Chaos In The Symbolic Dynamics Of Strange Attractors, 2017 Georgia State University

#### Comparing Methods Of Measuring Chaos In The Symbolic Dynamics Of Strange Attractors, James J. Scully

*Georgia State Undergraduate Research Conference*

No abstract provided.