Grouping Algorithms For Informative Array Testing In Disease Surveillance, 2021 West Virginia University

#### Grouping Algorithms For Informative Array Testing In Disease Surveillance, David Sokolov

*Graduate Theses, Dissertations, and Problem Reports*

In order to maintain normal operations and prevent unnecessary morbidity and mortality during times of disease outbreak, institutions find a need to conduct frequent and widespread testing of their constituents, often under significantly limited testing resource constraints. Faced with the challenge of how best to allo- cate these limited resources to maximum effect, institutions are increasingly turning to group (or “pooled”) testing, which involves testing strategically-chosen groups of patient samples rather than individual samples, producing significant testing resource savings under certain regimes of disease prevalence. While group test- ing can be conducted without any a priori knowledge of individual disease …

Implementing A Neural Network For Supervised Learning With A Random Configuration Of Layers And Nodes, 2021 Georgia Southern University

#### Implementing A Neural Network For Supervised Learning With A Random Configuration Of Layers And Nodes, Kane A. Phillips

*Electronic Theses and Dissertations*

Deep learning has a substantial amount of real-life applications, making it an increasingly popular subset of artificial intelligence over the last decade. These applications come to fruition due to the tireless research and implementation of neural networks. This paper goes into detail on the implementation of supervised learning neural networks utilizing MATLAB, with the purpose being to generate a neural network based on specifications given by a user. Such specifications involve how many layers are in the network, and how many nodes are in each layer. The neural network is then trained based on known sample values of a function …

Arnold Transformations As Applied To Data Encryption, 2021 Georgia Southern University

#### Arnold Transformations As Applied To Data Encryption, Haley N. Anderson

*Electronic Theses and Dissertations*

As our world becomes increasingly digital, data security becomes key. Data must be encrypted such that it can be easily encrypted only by the intended recipient. Arnold Transformations are a useful tool in this because of its unpredictable periodicity. Our goal is to outline a method for choosing an Arnold Transformation that is both secure and easy to implement. We find the necessary and sufficient condition that a key matrix has periodicity. The chosen key matrix has a random structure, and it has a periodicity that is sufficiently high. We apply this method to several image and data string examples …

Algorithm And Application For Iot Based Real Time Patient Monitoring System, 2020 Department of Information Technology, Tashkent University of Information Technologies, Uzbekistan, Address: 108, Amir Temur st., 700087 Tashkent city, Republic of Uzbekistan, Phone:2386437, (98) 3076375,

#### Algorithm And Application For Iot Based Real Time Patient Monitoring System, Hakimjon Zaynidinov, Sarvar Maxmudjonov, Ruzikulov R.A.

*Bulletin of TUIT: Management and Communication Technologies*

Among the applications that Internet of Things (IoT) facilitated to the world, Healthcare applications are most important. In general, IoT has been widely used to interconnect the advanced medical resources and to offer smart and effective healthcare services to the people. The advanced sensors can be either worn or be embedded into the body of the patients, so as to continuously monitor their health. The information collected in such manner, can be analyzed, aggregated and mined to do the early prediction of diseases. The processing algorithms assist the physicians for the personalization of treatment and it helps to make the …

Modeling Fluid Phenomena In The Context Of The Constrained Vapor Bubble System, 2020 Southern Methodist University

#### Modeling Fluid Phenomena In The Context Of The Constrained Vapor Bubble System, James Barrett

*Mathematics Theses and Dissertations*

This thesis focuses on the fluid phenomena observed within what is known as the constrained vapor bubble system. The constrained vapor bubble system is a closed system consisting of a quartz cuvette partially filled with liquid and used as a coolant device. Heat is applied to the heater end which causes the liquid to evaporate and condense on the cooled end of the cuvette. Liquid travels back to the heated end via capillary flow in the corners. A pure vapor bubble is formed in the center of the cuvette giving rise to the name of the experiment. The constrained vapor …

The Effect Of The Initial Structure On The System Relaxation Time In Langevin Dynamics, 2020 The University of Western Ontario

#### The Effect Of The Initial Structure On The System Relaxation Time In Langevin Dynamics, Omid Mozafar

*Electronic Thesis and Dissertation Repository*

In recent decades, computer experiments have allowed an accurate and fundamental understanding of molecular mechanisms at the microscopic level, such as the process of relaxation at a stable physical state. However, computer simulations may sometimes produce non-physical results or relations due to the incompleteness of mathematical models describing physical systems. In this thesis, we have investigated whether the initial structure in a computer simulation affects the system relaxation time, which is denoted by τ_{sys}, in the Langevin NVT ensemble. We found that for an initial structure, which is inhomogeneous in the number density of atoms, the system relaxation …

Parametric Art, 2020 CUNY New York City College of Technology

#### Parametric Art, Shaun Pollard, Daanial Ahmad, Satyanand Singh

*Publications and Research*

Lissajous curves, named after Jules Antoine Lissajous (1822-1880) are generated by the parametric equations ��=��������(����) and ��=��������(����) in its simplistic form. Others have studied these curves and their applications like Nathaniel Bowditch in 1815, and they are often referred to as Bowditch curves as well. Lissajous curves are found in engineering, mathematics, graphic design, physics, and many other backgrounds. In this project entitled “Parametric Art” this project will focus on analyzing these types of equations and manipulating them to create art. We will be investigating these curves by answering a series of questions that elucidate their purpose. Using Maple, which …

Root Stage Distributions And Their Importance In Plant-Soil Feedback Models, 2020 The University of Tennessee

#### Root Stage Distributions And Their Importance In Plant-Soil Feedback Models, Tyler Poppenwimer

*Doctoral Dissertations*

Roots are fundamental to PSFs, being a key mediator of these feedbacks by interacting with and affecting the soil environment and soil microbial communities. However, most PSF models aggregate roots into a homogeneous component or only implicitly simulate roots via functions. Roots are not homogeneous and root traits (nutrient and water uptake, turnover rate, respiration rate, mycorrhizal colonization, etc.) vary with age, branch order, and diameter. Trait differences among a plant’s roots lead to variation in root function and roots can be disaggregated according to their function. The impact on plant growth and resource cycling of changes in the distribution …

Explicit Formulas For Solutions Of Maxwell’S Equations In Conducting Media, 2020 Dokuz Eylul University

#### Explicit Formulas For Solutions Of Maxwell’S Equations In Conducting Media, Valery Yakhno

*Applications and Applied Mathematics: An International Journal (AAM)*

A new explicit presentation of the fundamental solution of the time-dependent Maxwell’s equations in conducting isotropic media is derived by Hadamard techniques through the fundamental solution of the telegraph operator. This presentation is used to obtain explicit formulas for generalized solutions of the initial value problem for Maxwell’s equations. A new explicit Kirchhoff’s formula for the classical solution of the initial value problem for the Maxwell equations in conducting media is derived. The obtained explicit formulas can be used in the boundary integral method, Green’s functions method and for computation of electric and magnetic fields in conducting media and materials.

Stability Of Modified Host-Parasitoid Model With Allee Effect, 2020 Adiyaman University

#### Stability Of Modified Host-Parasitoid Model With Allee Effect, Özlem A. Gümüs, A. G. Maria Selvam, R. Janagaraj

*Applications and Applied Mathematics: An International Journal (AAM)*

This paper deals with a host-parasitoid model subject to Allee effect and its dynamical behavior. Steady state points of the proposed host-parasitoid model are computed. Stability properties are analyzed with eigen values of Jacobian matrix which are determined at the steady states. Theoretical findings are supported by numerical illustrations and enhanced by pictorial representations such as bifurcation diagrams, phase portraits and local amplifications for different parameter values. Existence of chaotic behavior in the system is established via bifurcation and sensitivity analysis of the system at the initial conditions. Various phase portraits are simulated for a better understanding of the qualitative …

Impulse Effect On The Food-Limited Population Model With Piecewise Constant Argument, 2020 Ankara University

#### Impulse Effect On The Food-Limited Population Model With Piecewise Constant Argument, Fatma Karakoç

*Applications and Applied Mathematics: An International Journal (AAM)*

The qualitative study of mathematical models is an important area in applied mathematics. In this paper, a version of the food-limited population model with piecewise constant argument under impulse effect is investigated. Differential equations with piecewise constant arguments are related to difference equations. First, a representation for the solutions of the food-limited population model is stated in terms of the solutions of corresponding difference equation. Then using linearized oscillation theory for difference equations, a sufficient condition for the oscillation of the solutions about positive equilibrium point is obtained. Moreover, asymptotic behavior of the non-oscillatory solutions are investigated. Later, applying the …

Sum Of Cubes Of The First N Integers, 2020 California State University, San Bernardino

#### Sum Of Cubes Of The First N Integers, Obiamaka L. Agu

*Electronic Theses, Projects, and Dissertations*

In Calculus we learned that Sum^{n}_{k=1} k = [n(n+1)]/2 , that Sum^{n}_{k=1} k^2 = [n(n+1)(2n+1)]/6 , and that Sum^{n}_{k=1} k^{3} = (n(n+1)/2)^{2}. These formulas are useful when solving for the area below quadratic or cubic function over an interval [a, b]. This tedious process, solving for areas under a quadratic or a cubic, served as motivation for the introduction of Riemman integrals. For the overzealous math student, these steps were replaced by a simpler method of evaluating antiderivatives at the endpoints a and b. From my recollection, a former instructor informed us to do the value of memorizing these formulas. …

Structure, Neutrostructure, And Antistructure In Science, 2020 University of New Mexico

#### Structure, Neutrostructure, And Antistructure In Science, Florentin Smarandache

*Branch Mathematics and Statistics Faculty and Staff Publications*

In any science, a classical Theorem, defined on a given space, is a statement that is 100% true (i.e. true for all elements of the space). To prove that a classical theorem is false, it is sufficient to get a single counter-example where the statement is false. Therefore, the classical sciences do not leave room for partial truth of a theorem (or a statement). But, in our world and in our everyday life, we have many more examples of statements that are only partially true, than statements that are totally true. The NeutroTheorem and AntiTheorem are generalizations and alternatives of …

A Mathematical Model Of Avian Influenza For Poultry Farm And Its Stability Analysis, 2020 University of Rajshahi

#### A Mathematical Model Of Avian Influenza For Poultry Farm And Its Stability Analysis, Abdul Malek, Ashabul Hoque

*Applications and Applied Mathematics: An International Journal (AAM)*

This paper aims to estimate the basic reproduction number for Avian Influenza outbreak in local and global poultry industries. In this concern, we apply the SEIAVR compartmental model which is developed based on the well-known SEIR model. The SEIAVR model provides the mathematical formulations of the basic reproduction number, final size relationship and a relationship between these two phenomena. The developed model Equations are solved numerically with the help of Range-Kutta method and the values of initial parameters are taken from the several literatures and reports. The calculated result of basic reproduction number shows that it is locally and globally …

Personalized Immunotherapy Treatment Strategies For A System Of Chronic Myelogenous Leukemia, 2020 Tijuana Institute of Technology, Mexico

#### Personalized Immunotherapy Treatment Strategies For A System Of Chronic Myelogenous Leukemia, Paul Valle

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Pathogen Evolution And Vector-Borne Infection Emergence, 2020 North Carolina State University

#### Pathogen Evolution And Vector-Borne Infection Emergence, Praachi Das

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Mathematical Modeling Of Pancreatic Cancer With Clinical Data, 2020 University of Turkish Aeronautical Association

#### Mathematical Modeling Of Pancreatic Cancer With Clinical Data, Tuğba Akman Yıldız, Emek Köse, Samantha L. Elliott

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

A Teaching Module For Mathematical Epidemiology Using Matlab Or R, 2020 University of Nebraska - Lincoln

#### A Teaching Module For Mathematical Epidemiology Using Matlab Or R, Glenn Ledder

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Analysis, Control Of Efsb Pest Population Using Graph Theoretic Approach And Pattern Formation In The Pest Model, 2020 Illinois State University

#### Analysis, Control Of Efsb Pest Population Using Graph Theoretic Approach And Pattern Formation In The Pest Model, Pankaj Gulati

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Algebraic And Combinatorial Approaches For Counting Cycles Arising In Population Biology, 2020 University of Central Florida

#### Algebraic And Combinatorial Approaches For Counting Cycles Arising In Population Biology, Brian Chau

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.