Stability Analysis Of A Prey Refuge Predator-Prey Model With Allee Effects, 2016 American University of the Middle East

#### Stability Analysis Of A Prey Refuge Predator-Prey Model With Allee Effects, Unal Ufuktepe Prof

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

No abstract provided.

Making Waves: A Computational Swimming Lamprey With Sensory Feedback, 2016 Bucknell University

#### Making Waves: A Computational Swimming Lamprey With Sensory Feedback, Christina Hamlet, Eric D. Tytell, Lisa J. Fauci, Kathleen A. Hoffman

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

No abstract provided.

Interplay Of Quantum Size Effect, Anisotropy And Surface Stress Shapes The Instability Of Thin Metal Films, 2016 Western Kentucky University

#### Interplay Of Quantum Size Effect, Anisotropy And Surface Stress Shapes The Instability Of Thin Metal Films, Mikhail Khenner

*Mikhail Khenner*

Clustering-Based Robot Navigation And Control, 2016 University of Pennsylvania

#### Clustering-Based Robot Navigation And Control, Omur Arslan

*Departmental Papers (ESE)*

In robotics, it is essential to model and understand the topologies of configuration spaces in order to design provably correct motion planners. The common practice in motion planning for modelling configuration spaces requires either a global, explicit representation of a configuration space in terms of standard geometric and topological models, or an asymptotically dense collection of sample configurations connected by simple paths, capturing the connectivity of the underlying space. This dissertation introduces the use of clustering for closing the gap between these two complementary approaches. Traditionally an unsupervised learning method, clustering offers automated tools to discover hidden intrinsic structures in ...

Model For Computing Kinetics Of The Graphene Edge Epitaxial Growth On Copper, 2016 Western Kentucky University

#### Model For Computing Kinetics Of The Graphene Edge Epitaxial Growth On Copper, Mikhail Khenner

*Mikhail Khenner*

Self-Correcting Kelly Strategies For Skeptical Traders, 2016 AQR

#### Self-Correcting Kelly Strategies For Skeptical Traders, Aaron C. Brown

*International Conference on Gambling and Risk Taking*

The Kelly criterion gives the appropriate bet size in idealized situations with known parameters. In financial trading situations parameters are generally unknown and the mathematical assumptions underlying the Kelly proof are not met precisely. Moreover a risk manager typically must cooperate with a trader who may be skeptical about both the Kelly criterion specifically and the concept of mathematical optimization of bet size in general.

This presentation tackles the problem of designing a Kelly-based system for setting trade risk management parameters that is both self-correcting (the system delivers good results even if initial parameter are misestimated or parameters change) and ...

Mathematical Modeling Of Quadcopter Dynamics, 2016 Rose-Hulman Institute of Technology

#### Mathematical Modeling Of Quadcopter Dynamics, Qikai Huang (Bruce Wingo)

*Mathematical Sciences Technical Reports (MSTR)*

Recently, Google, Amazon and others are attempting to develop delivery drones for commercial use, in particular Amazon Prime Air promising 30 minute delivery. One type of commonly used drone proposed for such purposes is a quadcopter. Quadcopters have been around for some time with original development in the 1920’s. They are popular now because they are mechanically simple and provide a good vehicle for unmanned flight. By controlling the speed of the four propellers, a quadcopter can roll, change pitch, change yaw, and accelerate. This research will focus on the study of classical mechanics theories on rigid body motion ...

Nonlinear Harmonic Modes Of Steel Strings On An Electric Guitar, 2016 Linfield College

#### Nonlinear Harmonic Modes Of Steel Strings On An Electric Guitar, Joel Wenrich

*Senior Theses*

Steel strings used on electric and acoustic guitars are non-ideal oscillators that can produce imperfect intonation. According to theory, this intonation should be a function of the bending stiffness of the string, which is related to the dimensions of length and thickness of the string. To test this theory, solid steel strings of three different linear densities were analyzed using an oscilloscope and a Fast Fourier Transform function. We found that strings exhibited more drastic nonlinear harmonic behavior as their effective length was shortened and as linear density increased.

Determinants Of The Efficacy Of Hiv Latency Reversing Agents And Implications For Drug And Treatment Design, 2016 North Carolina State University at Raleigh

#### Determinants Of The Efficacy Of Hiv Latency Reversing Agents And Implications For Drug And Treatment Design, Ruian Ke

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Using Mathematical Modeling To Unmask The Concealed Nature Of Long Qt-3 Syndrome, 2016 Virginia Tech

#### Using Mathematical Modeling To Unmask The Concealed Nature Of Long Qt-3 Syndrome, Steven Poelzing, Amara Greer-Short, Seth H. Weinberg

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Anticipating Elimination Of Mosquito-Borne Diseases, 2016 National Institute of Mathematical and Biological Synthesis (NIMBioS)

#### Anticipating Elimination Of Mosquito-Borne Diseases, Suzanne M. O'Regan, Jonathan Lillie, John M. Drake

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Toward Adaptive Control Of Acute Inflammation, 2016 The University of Tennessee, Knoxville

#### Toward Adaptive Control Of Acute Inflammation, Judy D. Day, Seddik M. Djouadi, Ouassim Bara, Gregory L. Zitelli

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Dynamics Of Discrete Planar Systems That Model Stage-Structured Populations, 2016 Virginia Commonwealth University

#### Dynamics Of Discrete Planar Systems That Model Stage-Structured Populations, Shushan Lazaryan, Hassan Sedaghat

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Low Energy Defibrillation By Synchronization; 90 % Less Energy Compared To One Shock., 2016 Georgia Institute of Technology

#### Low Energy Defibrillation By Synchronization; 90 % Less Energy Compared To One Shock., Flavio H. Fenton, Yanyan Ji, Ilija Uzelac, Niels Otani, Elizabeth M. Cherry

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

General Models For Ecological Drivers Of Poverty, 2016 Harvard Medical School

#### General Models For Ecological Drivers Of Poverty, Calistus Ngeh Ngonghala

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Wilson-Cowan Coupled Dynamics In A Model Of The Cortico-Striato-Thalamo-Cortical Circuit, 2016 State University of New York at New Paltz

#### Wilson-Cowan Coupled Dynamics In A Model Of The Cortico-Striato-Thalamo-Cortical Circuit, Anca R. Radulescu

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Robust Traveling Waves In Chains Of Simple Neural Oscillators, 2016 The Cooper Union for the Advancement of Science and Art

#### Robust Traveling Waves In Chains Of Simple Neural Oscillators, Stanislav M. Mintchev

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Voronoi-Based Coverage Control Of Heterogeneous Disk-Shaped Robots, 2016 University of Pennsylvania

#### Voronoi-Based Coverage Control Of Heterogeneous Disk-Shaped Robots, Omur Arslan, Daniel E. Koditschek

*Departmental Papers (ESE)*

In distributed mobile sensing applications, networks of agents that are heterogeneous respecting both actuation as well as body and sensory footprint are often modelled by recourse to power diagrams — generalized Voronoi diagrams with additive weights. In this paper we adapt the body power diagram to introduce its “free subdiagram,” generating a vector field planner that solves the combined sensory coverage and collision avoidance problem via continuous evaluation of an associated constrained optimization problem. We propose practical extensions (a heuristic congestion manager that speeds convergence and a lift of the point particle controller to the more practical differential drive kinematics) that ...

Exact Robot Navigation Using Power Diagrams, 2016 University of Pennsylvania

#### Exact Robot Navigation Using Power Diagrams, Omur Arslan, Daniel E. Koditschek

*Departmental Papers (ESE)*

We reconsider the problem of reactive navigation in sphere worlds, i.e., the construction of a vector field over a compact, convex Euclidean subset punctured by Euclidean disks, whose flow brings a Euclidean disk robot from all but a zero measure set of initial conditions to a designated point destination, with the guarantee of no collisions along the way. We use power diagrams, generalized Voronoi diagrams with additive weights, to identify the robot’s collision free convex neighborhood, and to generate the value of our proposed candidate solution vector field at any free configuration via evaluation of an associated convex ...

Computing All Isolated Invariant Sets At A Finite Resolution, 2016 College of William and Mary

#### Computing All Isolated Invariant Sets At A Finite Resolution, Martin Salgado-Flores

*College of William & Mary Undergraduate Honors Theses*

Conley Index theory has inspired the development of rigorous computational methods to study dynamics. These methods construct outer approximations, combinatorial representations of the system, which allow us to represent the system as a combination of two graphs over a common vertex set. Invariant sets are sets of vertices and edges on the resulting digraph. Conley Index theory relies on isolated invariant sets, which are maximal invariant sets that meet an isolation condition, to describe the dynamics of the system. In this work, we present a computationally efficient and rigorous algorithm for computing all isolated invariant sets given an outer approximation ...