Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis, 2017 Cylance, Inc.

#### Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis, Andrew Palumbo

*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.

A Critical Firing Rate In Synchronous Transitions Of Coupled Neurons, 2017 Illinois State University

#### A Critical Firing Rate In Synchronous Transitions Of Coupled Neurons, Annabelle Shaffer, Epaminondas Rosa, Rosangela Follmann

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

No abstract provided.

Handicap Principle Implies Emergence Of Dimorphic Ornaments, 2017 Northwestern University

#### Handicap Principle Implies Emergence Of Dimorphic Ornaments, Sara Clifton, Daniel M. Abrams, Rosemary I. Braun

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

No abstract provided.

Food Web Control And Synchronization Using A Robust Feedback, 2017 Universidad Autonoma Metropolitana

#### Food Web Control And Synchronization Using A Robust Feedback, Hector Puebla, Mariana Rodriguez-Jara, Cesar S. Lopez-Monsalvo, Eliseo Hernandez-Martinez, Alejandra Velasco-Perez

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

No abstract provided.

The Effects Of Evolution On Food Web Diversity And Abundance, 2017 Tulane University of Louisiana

#### The Effects Of Evolution On Food Web Diversity And Abundance, Rosalyn Rael

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

No abstract provided.

Modeling The Influence Of El Niño On Parasite Transmission In Sand Crab Populations And Seabird Abundance Along The California Coast, 2017 University of Wisconsin-La Crosse

#### Modeling The Influence Of El Niño On Parasite Transmission In Sand Crab Populations And Seabird Abundance Along The California Coast, James Peirce, Olcay Akman, Abou Seck

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

No abstract provided.

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 ...

Application Of Optimization Methods To Crack Profile Inversion Using Eddy Currents, 2017 Iowa State University

#### Application Of Optimization Methods To Crack Profile Inversion Using Eddy Currents, John R. Bowler, Wei Zhang, Aleksandar Dogandžić

*John R. Bowler*

A numerical scheme for finding crack shapes from eddy current measurements has been developed based on a startdard iterative inversion approach in which a nonlinear least squares objective function quantifying the overall difference between predictions and measurements is minimized. In this paper, steepest descent and conjugate‐gradient methods for minimizing the objective function are investigated and compared. Cramér‐Rao lower bounds on the crack parameters are derived to quantify the accuracy of the estimated crack shape. Cramér‐Rao bounds are also used to indicate improvements in the design of eddy‐current nondestructive evaluation systems.

Balanced Excitation And Inhibition Shapes The Dynamics Of A Neuronal Network For Movement And Reward, 2017 State University of New York at New Paltz

#### Balanced Excitation And Inhibition Shapes The Dynamics Of A Neuronal Network For Movement And Reward, Anca R. Radulescu

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Applying Fmri Complexity Analyses To The Single-Subject: A Case Study For Proposed Neurodiagnostics, 2017 State University of New York at New Paltz

#### Applying Fmri Complexity Analyses To The Single-Subject: A Case Study For Proposed Neurodiagnostics, Anca R. Radulescu, Emily R. Hannon

*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 ...

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.

Center Manifold Theory And Computation Using A Forward Backward Approach, 2017 College of William and Mary

#### Center Manifold Theory And Computation Using A Forward Backward Approach, Emily E. Schaal

*Undergraduate Honors Theses*

The center manifold, an object from the field of differential equations, is useful in describing the long time behavior of the system. The most common way of computing the center manifold is by using a Taylor approximation. A different approach is to use iterative methods, as presented in Fuming and Kupper, 1994, Dellnitz and Hohmann, 1997, and Jolly and Rosa, 2005. In particular, Jolly and Rosa present a method based on a discretization of the Lyapunov-Perron (L-P) operator. One drawback is that this discretization can be expensive to compute and have error terms that are difficult to control. Using a ...

P26. Global Exponential Stabilization On So(3), 2017 sberkane@uwo.ca

#### P26. Global Exponential Stabilization On So(3), Soulaimane Berkane

*Western Research Forum 2018 "Controversy: Challenging The Boundaries in Research"*

Global Exponential Stabilization on SO(3)

Nestt: A Nonconvex Primal-Dual Splitting Method For Distributed And Stochastic Optimization, 2017 Iowa State University

#### Nestt: A Nonconvex Primal-Dual Splitting Method For Distributed And Stochastic Optimization, Davood Hajinezhad, Mingyi Hong, Tuo Zhao, Zhaoran Wang

*Mingyi Hong*

We study a stochastic and distributed algorithm for nonconvex problems whose objective consists a sum *N/* nonconvex *Li/N/ *smooth functions, plus a nonsmooth regularizer. The proposed NonconvEx primal-dual SpliTTing (NESTT) algorithm splits the problem into *N/ * subproblems, and utilizes an augmented Lagrangian based primal-dual scheme to solve it in a distributed and stochastic manner. With a special non-uniform sampling, a version of NESTT achieves *e-1* stationary solution using...gradient evaluations, which can be up to *O(N)/ * times better than the (proximal) gradient descent methods. It also achieves Q-linear convergence rate for nonconvex l1 penalized quadratic problems with polyhedral ...

Parallel Successive Convex Approximation For Nonsmooth Nonconvex Optimization, 2017 Stanford University

#### Parallel Successive Convex Approximation For Nonsmooth Nonconvex Optimization, Mesiam Razaviyayn, Mingyi Hong, Zhi-Quan Luo, Jong-Shi Pang

*Mingyi Hong*

Consider the problem of minimizing the sum of a smooth (possibly non-convex) and a convex (possibly nonsmooth) function involving a large number of variables. A popular approach to solve this problem is the block coordinate descent (BCD) method whereby at each iteration only one variable block is updated while the remaining variables are held fixed. With the recent advances in the developments of the multi-core parallel processing technology, it is desirable to parallelize the BCD method by allowing multiple blocks to be updated simultaneously at each iteration of the algorithm. In this work, we propose an inexact parallel BCD approach ...

On The Existence Of Bogdanov-Takens Bifurcations, 2017 Missouri State University

#### On The Existence Of Bogdanov-Takens Bifurcations, Zachary Deskin

*MSU Graduate Theses*

In bifurcation theory, there is a theorem (called Sotomayor's Theorem) which proves the existence of one of three possible bifurcations of a given system, provided that certain conditions of the system are satisfied. It turns out that there is a "similar" theorem for proving the existence of what is referred to as a Bogdanov-Takens bifurcation. The author is only aware of one reference that has the proof of this theorem. However, most of the details were left out of the proof. The contribution of this thesis is to provide the details of the proof on the existence of Bogdanov-Takens ...