Modularity And Boolean Network Decomposition, 2022 University of Florida

#### Modularity And Boolean Network Decomposition, Matthew Wheeler

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Portfolio Optimization Analysis In The Family Of 4/2 Stochastic Volatility Models, 2022 The University of Western Ontario

#### Portfolio Optimization Analysis In The Family Of 4/2 Stochastic Volatility Models, Yuyang Cheng

*Electronic Thesis and Dissertation Repository*

Over the last two decades, trading of financial derivatives has increased significantly along with richer and more complex behaviour/traits on the underlying assets. The need for more advanced models to capture traits and behaviour of risky assets is crucial. In this spirit, the state-of-the-art 4/2 stochastic volatility model was recently proposed by Grasselli in 2017 and has gained great attention ever since. The 4/2 model is a superposition of a Heston (1/2) component and a 3/2 component, which is shown to be able to eliminate the limitations of these two individual models, bringing the best out of each other. Based …

Optimal Intervention Strategies To Minimize Spread Of Infectious Diseases And Economic Impact On A Dynamic Small-World Network, 2022 Wake Forest University

#### Optimal Intervention Strategies To Minimize Spread Of Infectious Diseases And Economic Impact On A Dynamic Small-World Network, Malindi Whyte, Danielle Dasilva

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

De-Coupling Cell-Autonomous And Non-Cell-Autonomous Fitness Effects Allows Solution Of The Fokker-Planck Equation For The Evolution Of Interacting Populations, 2022 Cleveland Clinic Lerner Research Institute

#### De-Coupling Cell-Autonomous And Non-Cell-Autonomous Fitness Effects Allows Solution Of The Fokker-Planck Equation For The Evolution Of Interacting Populations, Steph J. Owen

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

A Novel Chebyshev Wavelet Method For Solving Fractional-Order Optimal Control Problems, 2022 Mississippi State University

#### A Novel Chebyshev Wavelet Method For Solving Fractional-Order Optimal Control Problems, Ghodsieh Ghanbari

*Theses and Dissertations*

This thesis presents a numerical approach based on generalized fractional-order Chebyshev wavelets for solving fractional-order optimal control problems. The exact value of the Riemann– Liouville fractional integral operator of the generalized fractional-order Chebyshev wavelets is computed by applying the regularized beta function. We apply the given wavelets, the exact formula, and the collocation method to transform the studied problem into a new optimization problem. The convergence analysis of the proposed method is provided. The present method is extended for solving fractional-order, distributed-order, and variable-order optimal control problems. Illustrative examples are considered to show the advantage of this method in comparison …

Model Based Force Estimation And Stiffness Control For Continuum Robots, 2022 University of Tennessee, Knoxville

#### Model Based Force Estimation And Stiffness Control For Continuum Robots, Vincent A. Aloi

*Doctoral Dissertations*

Continuum Robots are bio-inspired structures that mimic the motion of snakes, elephant trunks, octopus tentacles, etc. With good design, these robots can be naturally compliant and miniaturizable, which makes Continuum Robots ideal for traversing narrow complex environments. Their flexible design, however, prevents us from using traditional methods for controlling and estimating loading on rigid link robots.

In the first thrust of this research, we provided a novel stiffness control law that alters the behavior of an end effector during contact. This controller is applicable to any continuum robot where a method for sensing or estimating tip forces and pose exists. …

Data And Algorithmic Modeling Approaches To Count Data, 2022 Murray State University

#### Data And Algorithmic Modeling Approaches To Count Data, Andraya Hack

*Honors College Theses*

Various techniques are used to create predictions based on count data. This type of data takes the form of a non-negative integers such as the number of claims an insurance policy holder may make. These predictions can allow people to prepare for likely outcomes. Thus, it is important to know how accurate the predictions are. Traditional statistical approaches for predicting count data include Poisson regression as well as negative binomial regression. Both methods also have a zero-inflated version that can be used when the data has an overabundance of zeros. Another procedure is to use computer algorithms, also known as …

Path Planning And Flight Control Of Drones For Autonomous Pollination, 2022 University of Tennessee, Knoxville

#### Path Planning And Flight Control Of Drones For Autonomous Pollination, Chapel R. Rice

*Masters Theses*

The decline of natural pollinators necessitates the development of novel pollination technologies. In this thesis, a drone-enabled autonomous pollination system (APS) that consists of five primary modules: environment sensing, flower perception, path planning, flight control, and pollination mechanisms is proposed. These modules are highly dependent upon each other, with each module relying on inputs from the other modules. This thesis focuses on approaches to the path planning and flight control modules. Flower perception is briefly demonstrated developing a map of flowers using results from previous work. With that map of flowers, APS path planning is defined as a variant of …

Vertical Take-Off And Landing Control Via Dual-Quaternions And Sliding Mode, 2022 Embry-Riddle Aeronautical University

#### Vertical Take-Off And Landing Control Via Dual-Quaternions And Sliding Mode, Joshua Sonderegger

*Doctoral Dissertations and Master's Theses*

The landing and reusability of space vehicles is one of the driving forces into renewed interest in space utilization. For missions to planetary surfaces, this soft landing has been most commonly accomplished with parachutes. However, in spite of their simplicity, they are susceptible to parachute drift. This parachute drift makes it very difficult to predict where the vehicle will land, especially in a dense and windy atmosphere such as Earth. Instead, recent focus has been put into developing a powered landing through gimbaled thrust. This gimbaled thrust output is dependent on robust path planning and controls algorithms. Being able to …

An Integrated Computational Pipeline To Construct Patient-Specific Cancer Models, 2022 University of Kentucky

#### An Integrated Computational Pipeline To Construct Patient-Specific Cancer Models, Daniel Plaugher

*Theses and Dissertations--Mathematics*

Precision oncology largely involves tumor genomics to guide therapy protocols. Yet, it is well known that many commonly mutated genes cannot be easily targeted. Even when genes can be targeted, resistance to therapy is quite common. A rising field with promising results is that of mathematical biology, where *in silico* models are often used for the discovery of general principles and novel hypotheses that can guide the development of new treatments. A major goal is that eventually *in silico* models will accurately predict clinically relevant endpoints and find optimal control interventions to stop (or reverse) disease progression. Thus, it is …

Algorithm For Calculating The Parameters Of A Multi-Position Electromagnetic Linear Mechatronic Module, 2021 Faculty of Electronics and Automation, Department of Mechatronics and Robotics, Tashkent state technical university named after Islom Karimov Address: 2, University str., 100095, Tashkent, Uzbekistan E-mail: nazarov_hayriddin@bk.ru;

#### Algorithm For Calculating The Parameters Of A Multi-Position Electromagnetic Linear Mechatronic Module, Nazarov Khayriddin Nuritdinovich, Matyokubov Nurbek Rustamovich, Temurbek Omonboyevich Rakhimov

*Chemical Technology, Control and Management*

*Currently, in the world in the field of science, engineering and technology, including in mechatronics and robotics, the creation of multi-coordinate mechatronic systems that perform power and control functions is becoming of paramount importance, this is due to a number of important positive qualities of the systems, such as simplicity and compactness of the design, the possibility of obtaining significant efforts, high accuracy and stability of the establishment of fixed positions, ease of control and high reliability. This article presents the calculation of the parameters of multi-position mechatronic modules based on linear execution elements. In the construction of this model, …*

Optimal Control Techniques In Addiction Modeling, 2021 University of Tennessee, Knoxville

#### Optimal Control Techniques In Addiction Modeling, Leigh Pearcy, William Christopher Strickland, Suzanne Lenhart

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Modeling The Pancreatic Cancer Microenvironment In Search Of Control Targets, 2021 Illinois State University

#### Modeling The Pancreatic Cancer Microenvironment In Search Of Control Targets, Daniel Plaugher

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Identification Of Control Targets In Boolean Networks Via Computational Algebra, 2021 University of Dayton

#### Identification Of Control Targets In Boolean Networks Via Computational Algebra, Alan Veliz-Cuba

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Neural Network Controller Vs Pulse Control To Achieve Complete Eradication Of Cancer Cells In A Mathematical Model, 2021 Tijuana Institute of Technology, México

#### Neural Network Controller Vs Pulse Control To Achieve Complete Eradication Of Cancer Cells In A Mathematical Model, Joel A. Quevedo, Sergio A. Puga, Paul A. Valle

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Chemoimmunotherapy Treatment Strategies On A Mathematical Model Of Cancer Evolution, 2021 Tijuana Institute of Technology, México

#### Chemoimmunotherapy Treatment Strategies On A Mathematical Model Of Cancer Evolution, Sandra M. Lopez, Yolocuauhtli Salazar, Paul A. Valle

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Contributions To The Teaching And Learning Of Fluid Mechanics, 2021 Montclair State University

#### Contributions To The Teaching And Learning Of Fluid Mechanics, Ashwin Vaidya

*Department of Mathematics Facuty Scholarship and Creative Works*

This issue showcases a compilation of papers on fluid mechanics (FM) education, covering different sub topics of the subject. The success of the first volume [1] prompted us to consider another follow-up special issue on the topic, which has also been very successful in garnering an impressive variety of submissions. As a classical branch of science, the beauty and complexity of fluid dynamics cannot be overemphasized. This is an extremely well-studied subject which has now become a significant component of several major scientific disciplines ranging from aerospace engineering, astrophysics, atmospheric science (including climate modeling), biological and biomedical science …

Smooth Global Approximation For Continuous Data Assimilation, 2021 CUNY Hunter College

#### Smooth Global Approximation For Continuous Data Assimilation, Kenneth R. Brown

*Theses and Dissertations*

This thesis develops the finite element method, constructs local approximation operators, and bounds their error. Global approximation operators are then constructed with a partition of unity. Finally, an application of these operators to data assimilation of the two-dimensional Navier-Stokes equations is presented, showing convergence of an algorithm in all Sobolev topologies.

Optimal Stopping Problems For A Family Of Continuous-Time Markov Processes, 2021 CINVESTAV-IPN

#### Optimal Stopping Problems For A Family Of Continuous-Time Markov Processes, Héctor Jasso-Fuentes, Jose-Luis Menaldi, Fidel Vásquez-Rojas

*Mathematics Faculty Research Publications*

In this paper we study the well-know optimal stopping problem applied to a general family of continuous-time Markov process. The approach to follow is merely analytic and it is based on the characterization of stopping problems through the study of a certain variational inequality; namely one solution of this inequality will coincide with the optimal value of the stopping problem. In addition, by means of this characterization, it is possible to find the so-named continuation region, and as a byproduct obtaining the optimal stopping time. The most of the material is based on the semigroup theory, infinitesimal generators and resolvents. …

Lecture 09: Hierarchically Low Rank And Kronecker Methods, 2021 Tokyo Institute of Technology

#### Lecture 09: Hierarchically Low Rank And Kronecker Methods, Rio Yokota

*Mathematical Sciences Spring Lecture Series*

Exploiting structures of matrices goes beyond identifying their non-zero patterns. In many cases, dense full-rank matrices have low-rank submatrices that can be exploited to construct fast approximate algorithms. In other cases, dense matrices can be decomposed into Kronecker factors that are much smaller than the original matrix. Sparsity is a consequence of the connectivity of the underlying geometry (mesh, graph, interaction list, etc.), whereas the rank-deficiency of submatrices is closely related to the distance within this underlying geometry. For high dimensional geometry encountered in data science applications, the curse of dimensionality poses a challenge for rank-structured approaches. On the other …