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Articles 1  30 of 5904
FullText Articles in Physical Sciences and Mathematics
The Food Truck Problem, Supply Chains And Extensions Of The Newsvendor Problem, Dennis Quayesam
The Food Truck Problem, Supply Chains And Extensions Of The Newsvendor Problem, Dennis Quayesam
Electronic Theses and Dissertations
Inventory control is important to ensuring sufficient quantities of items are available tomeet demands of customers. The Newsvendor problem is a model used in Operations Research to determine optimal inventory levels for fulfilling future demands. Our study extends the newsvendor problem to a food truck problem. We used simulation to show that the food truck does not reduce to a newsvendor problem if demand depends on exogenous factors such temperature, time etc. We formulate the food truck problem as a multiproduct multiperiod linear program and found the dual for a single item. We use Discrete Event Simulation to solve the ...
HighOrder Flexible Multirate Integrators For Multiphysics Applications, Rujeko Chinomona
HighOrder Flexible Multirate Integrators For Multiphysics Applications, Rujeko Chinomona
Mathematics Theses and Dissertations
Traditionally, time integration methods within multiphysics simulations have been chosen to cater to the most restrictive dynamics, sometimes at a great computational cost. Multirate integrators accurately and efficiently solve systems of ordinary differential equations that exhibit different time scales using two or more time steps. In this thesis, we explore three classes of time integrators that can be classified as onestep multistage multirate methods for which the slow dynamics are evolved using a traditional one step scheme and the fast dynamics are solved through a sequence of modified initial value problems. Practically, the fast dynamics are subcycled using a small ...
Lexicographic Sensitivity Functions For Nonsmooth Models In Mathematical Biology, Matthew D. Ackley
Lexicographic Sensitivity Functions For Nonsmooth Models In Mathematical Biology, Matthew D. Ackley
Electronic Theses and Dissertations
Systems of ordinary differential equations (ODEs) may be used to model a wide variety of realworld phenomena in biology and engineering. Classical sensitivity theory is wellestablished and concerns itself with quantifying the responsiveness of such models to changes in parameter values. By performing a sensitivity analysis, a variety of insights can be gained into a model (and hence, the realworld system that it represents); in particular, the information gained can uncover a system's most important aspects, for use in design, control or optimization of the system. However, while the results of such analysis are desirable, the approach that classical ...
Research Focus: Pattern Recognition
Research Focus: Pattern Recognition
In The Loop
A CDM health informatics team joins a global race to advance COVID19 diagnostics through Xray insights.
Application Of Randomness In Finance, Jose Sanchez, Daanial Ahmad, Satyanand Singh
Application Of Randomness In Finance, Jose Sanchez, Daanial Ahmad, Satyanand Singh
Publications and Research
Brownian Motion which is also considered to be a Wiener process and can be thought of as a random walk. In our project we had briefly discussed the fluctuations of financial indices and related it to Brownian Motion and the modeling of Stock prices.
Zeta Function Regularization And Its Relationship To Number Theory, Stephen Wang
Zeta Function Regularization And Its Relationship To Number Theory, Stephen Wang
Electronic Theses and Dissertations
While the "path integral" formulation of quantum mechanics is both highly intuitive and far reaching, the path integrals themselves often fail to converge in the usual sense. Richard Feynman developed regularization as a solution, such that regularized path integrals could be calculated and analyzed within a strictly physics context. Over the past 50 years, mathematicians and physicists have retroactively introduced schemes for achieving mathematical rigor in the study and application of regularized path integrals. One such scheme was introduced in 2007 by the mathematicians Klaus Kirsten and Paul Loya. In this thesis, we reproduce the Kirsten and Loya approach to ...
Solving The Heat Equation With Interfaces, Michael Bauer, Rex Llewellyn, Shauna Frank
Solving The Heat Equation With Interfaces, Michael Bauer, Rex Llewellyn, Shauna Frank
Mathematics Student Work
When modeling systems made up of two materials with different thermodynamic properties, a physical interface can be introduced to account for the border where the materials meet. This interface separates our model’s standard grid into two regions, each with its unique physical properties. At these interfaces, boundary conditions can be imposed to represent the difference in heat and in heat flux between the different materials so that their interaction may be modeled accurately. Because standard finite difference methods are inadequate to deal with interfaces, a Matched Interface and Boundary (MIB) technique is investigated in this work to solve the ...
Parallel Computation Of Action Potentials In The HodgkinHuxley Model Via The Parareal Algorithm, Eric Boerman, Khanh Pham, Katie Peltier
Parallel Computation Of Action Potentials In The HodgkinHuxley Model Via The Parareal Algorithm, Eric Boerman, Khanh Pham, Katie Peltier
Mathematics Student Work
The HodgkinHuxley model is a system of differential equations that describe the membrane voltage of an axon as it fires the basic signal of the nervous system: the action potential. When chargecarrying ions such as sodium, potassium, and others are enabled to cross a selectively permeable membrane, the resulting current propagates along the length of the axon as a wave of altered ionic potential. However, the degree to which the membrane is permeable to sodium and potassium is itself gated by voltage; therefore, voltage depends on permeability and permeability depends on voltage. This interdependent cellular system is expressed as a ...
Ranking Of Fuzzy Numbers By Using Scaling Method, Ayad Mohammed Ramadan
Ranking Of Fuzzy Numbers By Using Scaling Method, Ayad Mohammed Ramadan
Passer Journal
In this paper, we presented for the first time a multidimensional scaling approach to find the scaling as well as the ranking of triangular fuzzy numbers. Each fuzzy number was represented by a row in a matrix, and then found the configuration points (scale points) which represent the fuzzy numbers in . Since these points are not uniquely determined, then we presented different techniques to reconfigure the points to compare them with other methods. The results showed the ability of ranking fuzzy numbers.
Population And Evolution Dynamics In PredatorPrey Systems With AntiPredation Responses, Yang Wang
Population And Evolution Dynamics In PredatorPrey Systems With AntiPredation Responses, Yang Wang
Electronic Thesis and Dissertation Repository
This thesis studies the impact of antipredation strategy on the population dynamics of predatorprey interactions. This work includes three research projects.
In the first project, we study a system of delay differential equations by considering both benefit and cost of antipredation response, as well as a time delay in the transfer of biomass from the prey to the predator after predation. We reveal some insights on how the antipredation response level and the biomass transfer delay jointly affect the population dynamics; we also show how the nonlinearity in the predation term mediated by the fear effect affects the long term ...
Mathematics And Enterprise Innovation, Pingwen Zhang
Mathematics And Enterprise Innovation, Pingwen Zhang
Bulletin of Chinese Academy of Sciences (Chinese Version)
The innovation and development of China are inseparable from mathematics. The development of applied mathematics, embodied in scientific discovery, national defense construction and enterprise innovation, is mainly driven by national demand. At present, China's economy has entered into a period of innovation driven development. Enterprises, as the main participants of national economic activities, need the support of mathematics for innovation and development. Regarding how to promote enterprise innovation through mathematics, this paper puts forward four aspects that we need to pay attention to and improve on: posing problems, solving problems, reporting results, and evaluating results. At the end, the ...
Compact Dupin Hypersurfaces, Thomas E. Cecil
Compact Dupin Hypersurfaces, Thomas E. Cecil
Mathematics Department Faculty Scholarship
A hypersurface M in R^{n} is said to be Dupin if along each curvature surface, the corresponding principal curvature is constant. A Dupin hypersurface is said to be proper Dupin if the number of distinct principal curvatures is constant on M, i.e., each continuous principal curvature function has constant multiplicity on M. These conditions are preserved by stereographic projection, so this theory is essentially the same for hypersurfaces in R^{n} or S^{n} . The theory of compact proper Dupin hypersurfaces in S^{n} is closely related to the theory of isoparametric hypersurfaces in S^{n}, and many ...
Predicting Tumor Response To Radiotherapy Based On Estimation Of NonTreatment Parameters, Yutian Huang, Allison L. Lewis
Predicting Tumor Response To Radiotherapy Based On Estimation Of NonTreatment Parameters, Yutian Huang, Allison L. Lewis
Spora: A Journal of Biomathematics
Though clinicians can now collect detailed information about a variety of tumor characteristics as a tumor evolves, it remains difficult to predict the efficacy of a given treatment prior to administration. Additionally, the process of data collection may be invasive and expensive. Thus, the creation of a framework for predicting patient response to treatment using only information collected prior to the start of treatment could be invaluable. In this study, we employ ordinary differential equation models for tumor growth and utilize synthetic data from a cellular automaton model for calibration. We investigate which parameters have the most influence upon treatment ...
Kleptoparasitic HawkDove Games, Isabella H. EvansRiester, Chasity T. Kay, Karina L. OrtizSuarez, Jan Rychtář, Dewey Taylor
Kleptoparasitic HawkDove Games, Isabella H. EvansRiester, Chasity T. Kay, Karina L. OrtizSuarez, Jan Rychtář, Dewey Taylor
Spora: A Journal of Biomathematics
The HawkDove game is a classical gametheoretical model of potentially aggressive animal conflicts. In this paper, we apply game theory to a population of foraging animals that may engage in stealing food from one another. We assume that the population is composed of two types of individuals, Hawks and Doves. Hawks try to escalate encounters into aggressive contests while Doves engage in nonaggressive displays between themselves or concede to aggressive Hawks. The fitness of each type depends upon various natural parameters, such as food density, the mean handling time of a food item, as well as the mean times of ...
Netsci High: Bringing Agency To Diverse Teens Through The Science Of Connected Systems, Stephen M. Uzzo, Catherine B. Cramer, Hiroki Sayama, Russell Faux
Netsci High: Bringing Agency To Diverse Teens Through The Science Of Connected Systems, Stephen M. Uzzo, Catherine B. Cramer, Hiroki Sayama, Russell Faux
Northeast Journal of Complex Systems (NEJCS)
This paper follows NetSci High, a decadelong initiative to inspire teams of teenage researchers to develop, execute and disseminate original research in network science. The project introduced high school students to the computerbased analysis of networks, and instilled in the participants the habits of mind to deepen inquiry in connected systems and statistics, and to sustain interest in continuing to study and pursue careers in fields involving network analysis. Goals of NetSci High ranged from proximal learning outcomes (e.g., increasing high school student competencies in computing and improving student attitudes toward computing) to highly distal (e.g., preparing students ...
Conversational A.I.: Predicting Future Response Sentiment In OneOnOne Dialogue, Josephine Bahr
Conversational A.I.: Predicting Future Response Sentiment In OneOnOne Dialogue, Josephine Bahr
2021 Academic Exhibition
This project focuses on mathematical applications for oneonone texting conversations. Welcome to the realm of conversational A.I. (artificial intelligence), a field that also studies the commonlyknown predictive text. Instead of suggesting words, however, this project will make predictions in text sentiment. Text sentiment models detect emotion in natural written language. With the development of models that can tag present emotions, this project looks to further apply the field of text sentiment. If a model exists to tag present emotion, then perhaps the tags can be used to predict future emotion. This project specifically applies this question to texting conversations ...
EndToEnd Physics Event Generator, Yasir Alanazi, N. Sato, Tianbo Liu, W. Melnitchouk, Michelle P. Kuchera, Evan Pritchard, Michael Robertson, Ryan Strauss, Luisa Velasco, Yaohang Li
EndToEnd Physics Event Generator, Yasir Alanazi, N. Sato, Tianbo Liu, W. Melnitchouk, Michelle P. Kuchera, Evan Pritchard, Michael Robertson, Ryan Strauss, Luisa Velasco, Yaohang Li
College of Sciences Posters
We apply generative adversarial network (GAN) technology to build an event generator that simulates particle production in electronproton scattering that is free of theoretical assumptions about underlying particle dynamics. The difficulty of efficiently training a GAN event simulator lies in learning the complicated pat terns of the distributions of the particles physical properties. We develop a GAN that selects a set of transformed features from particle momenta that can be generated easily by the generator, and uses these to produce a set of augmented features that improve the sensitivity of the discriminator. The new FeatureAugmented and Transformed GAN (FATGAN) is ...
A Direct Method For Modeling And Simulations Of Elliptic And Parabolic Interface Problems, Kumudu Gamage, Yan Peng
A Direct Method For Modeling And Simulations Of Elliptic And Parabolic Interface Problems, Kumudu Gamage, Yan Peng
College of Sciences Posters
Interface problems have many applications in fluid dynamics, molecular biology, electromagnetism, material science, heat distribution in engines, and hyperthermia treatment of cancer. Mathematically, interface problems commonly lead to partial differential equations (PDE) whose in put data are discontinuous or singular across the interfaces in the solution domain. Many standard numerical methods designed for smooth solutions poorly work for interface problems as solutions of the interface problems are mostly nonsmoothness or discontinuous. Moving interface problems depends on the accuracy of the gradient of the solution at the interface. Therefore, it became essential to derive a method for interface problems that gives ...
The Fundamental Limit Theorem Of Countable Markov Chains, Nathanael Gentry
The Fundamental Limit Theorem Of Countable Markov Chains, Nathanael Gentry
Senior Honors Theses
In 1906, the Russian probabilist A.A. Markov proved that the independence of a sequence of random variables is not a necessary condition for a law of large numbers to exist on that sequence. Markov's sequences  today known as Markov chains  touch several deep results in dynamical systems theory and have found wide application in bibliometrics, linguistics, artificial intelligence, and statistical mechanics. After developing the appropriate background, we prove a modern formulation of the law of large numbers (fundamental theorem) for simple countable Markov chains and develop an elementary notion of ergodicity. Then, we apply these chain convergence results ...
Toward Improving Understanding Of The Structure And Biophysics Of Glycosaminoglycans, Elizabeth K. Whitmore
Toward Improving Understanding Of The Structure And Biophysics Of Glycosaminoglycans, Elizabeth K. Whitmore
Electronic Theses and Dissertations
Glycosaminoglycans (GAGs) are the linear carbohydrate components of proteoglycans (PGs) that mediate PG bioactivities, including signal transduction, tissue morphogenesis, and matrix assembly. To understand GAG function, it is important to understand GAG structure and biophysics at atomic resolution. This is a challenge for existing experimental and computational methods because GAGs are heterogeneous, conformationally complex, and polydisperse, containing up to 200 monosaccharides. Molecular dynamics (MD) simulations come close to overcoming this challenge but are only feasible for short GAG polymers. To address this problem, we developed an algorithm that applies conformations from unbiased allatom explicitsolvent MD simulations of short GAG polymers ...
Flocc: From AgentBased Models To Interactive Simulations On The Web, Scott Donaldson
Flocc: From AgentBased Models To Interactive Simulations On The Web, Scott Donaldson
Northeast Journal of Complex Systems (NEJCS)
Agentbased modeling (ABM) is a computational technique wherein systems are represented through the actions and interactions of many individual entities (‘agents’) over time. ABM often attempts to elucidate the unpredictable, highlevel behavior of systems through the predictable, lowlevel behavior of actors within the system. There are currently few software or frameworks for ABM that allow modelers to design and build interactive models on the web, for a wide audience as well as a scientifically literate audience wellversed in complexity, models, and simulations. Flocc is a novel framework for agentbased modeling written in JavaScript, the lingua franca programming language of the ...
Entropic Dynamics Of Networks, Felipe Xavier Costa, Pedro Pessoa
Entropic Dynamics Of Networks, Felipe Xavier Costa, Pedro Pessoa
Northeast Journal of Complex Systems (NEJCS)
Here we present the entropic dynamics formalism for networks. That is, a framework for the dynamics of graphs meant to represent a network derived from the principle of maximum entropy and the rate of transition is obtained taking into account the natural information geometry of probability distributions. We apply this framework to the Gibbs distribution of random graphs obtained with constraints on the node connectivity. The information geometry for this graph ensemble is calculated and the dynamical process is obtained as a diffusion equation. We compare the steady state of this dynamics to degree distributions found on realworld networks.
Emergent Hierarchy Through ConductanceBased Degree Constraints, Christopher Tyler Diggans, Jeremie Fish, Erik M. Bollt
Emergent Hierarchy Through ConductanceBased Degree Constraints, Christopher Tyler Diggans, Jeremie Fish, Erik M. Bollt
Northeast Journal of Complex Systems (NEJCS)
The presence of hierarchy in many realworld networks is not yet fully understood. We observe that complex interaction networks are often coarsegrain models of vast modular networks, where tightly connected subgraphs are agglomerated into nodes for simplicity of representation and computational feasibility. The emergence of hierarchy in such growing complex networks may stem from one particular property of these ignored subgraphs: their graph conductance. Being a quantification of the main bottleneck of flow through the coarsegrain node, this scalar quantity implies a structural limitation and supports the consideration of heterogeneous degree constraints. The internal conductance values of the subgraphs are ...
NetworkBased Analysis Of Early Pandemic Mitigation Strategies: Solutions, And Future Directions, Pegah Hozhabrierdi, Raymond Zhu, Maduakolam Onyewu, Sucheta Soundarajan
NetworkBased Analysis Of Early Pandemic Mitigation Strategies: Solutions, And Future Directions, Pegah Hozhabrierdi, Raymond Zhu, Maduakolam Onyewu, Sucheta Soundarajan
Northeast Journal of Complex Systems (NEJCS)
Despite the large amount of literature on mitigation strategies for pandemic spread, in practice, we are still limited by na\"ive strategies, such as lockdowns, that are not effective in controlling the spread of the disease in long term. One major reason behind adopting basic strategies in realworld settings is that, in the early stages of a pandemic, we lack knowledge of the behavior of a disease, and so cannot tailor a more sophisticated response. In this study, we design different mitigation strategies for early stages of a pandemic and perform a comprehensive analysis among them. We then propose a ...
Anticipation Induces Polarized Collective Motion In Attraction Based Models, Daniel Strömbom, Alice Antia
Anticipation Induces Polarized Collective Motion In Attraction Based Models, Daniel Strömbom, Alice Antia
Northeast Journal of Complex Systems (NEJCS)
Moving animal groups are prime examples of natural complex systems. In most models of such systems each individual updates its heading based on the current positions and headings of its neighbors. However, recently, a number of models where the heading update instead is based on the future anticipated positions/headings of the neighbors have been published. Collectively these studies have established that including anticipation may have drastically different effects in different models. In particular, anticipation inhibits polarization in alignmentbased models and in one alignmentfree model, but promotes polarization in another alignmentfree model. Indicating that our understanding of how anticipation affects ...
A Dynamic Energy Budget Model Of Ornate Box Turtle Shell Growth, Tyler Skorczewski, Brandon Andersen
A Dynamic Energy Budget Model Of Ornate Box Turtle Shell Growth, Tyler Skorczewski, Brandon Andersen
Spora: A Journal of Biomathematics
Many aspects of box turtle development may depend on size rather than age. Notable examples include sexual maturity and the development of the fully closing hinge in the shell that allows box turtles to completely hide in their shells. Thus, it is important to understand how turtles grow in order to have a complete understanding of turtle biology. Previous studies show that turtle shell growth behaves in a logistic manner. These studies use functional models that fit the data well but do little to explain mechanisms. In this work we use the ideas found in dynamic energy budget theory to ...
Flattening The Curve: The Effects Of Intervention Strategies During Covid19, Kelly A. Reagan, Rachel J. Pryor, Gonzalo M. Bearman, David M. Chan
Flattening The Curve: The Effects Of Intervention Strategies During Covid19, Kelly A. Reagan, Rachel J. Pryor, Gonzalo M. Bearman, David M. Chan
Spora: A Journal of Biomathematics
COVID19 has plagued countries worldwide due to its infectious nature. Social distancing and the use of personal protective equipment (PPE) are two main strategies employed to prevent its spread. A SIR model with a timedependent transmission rate is implemented to examine the effect of social distancing and PPE use in hospitals. These strategies’ effect on the size and timing of the peak number of infectious individuals are examined as well as the total number of individuals infected by the epidemic. The effect on the epidemic of when social distancing is relaxed is also examined. Overall, social distancing was shown to ...
Undetermined Coefficients: A Fully Generalized Approach, Taylor Powell
Undetermined Coefficients: A Fully Generalized Approach, Taylor Powell
Undergraduate Research Symposium
In this presentation, I outline the development of a fullygeneralized solution of linear, nonhomogeneous differential equations with constant coefficients and whose nonhomogeneous function is any product of sinusoidal, exponential, and polynomial functions. This particular method does not require the reader to work with annihilator operators or additional related ODEs, and only requires an understanding of summation notation, matrix multiplication, and calculus. Additionally, this method provides a straightforward way to develop a program to implement the technique, and potentially reduces the timecomplexity for solutions with comparisons to other methods.
Nonlocal Problems For A Fractional Order Mixed Parabolic Equation, Azizbek Mamanazarov
Nonlocal Problems For A Fractional Order Mixed Parabolic Equation, Azizbek Mamanazarov
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
In the present work nonlocal problems with BitsadzeSamarskii type conditions, with the first and the second kind integral conditions for mixed parabolic equation involving RiemannLiouville fractional differential operator have been formulated and investigated. The uniqueness and the existence of the solution of the considered problems were proved. To do this, considered problems are equivalently reduced to the problems with nonlocal conditions with respect to the trace of the unknown function and its spacederivatives. Then using the representation of the solution of the second kind of Abel's integral equation, it was found integral representations of the solutions of these problems ...
Nonlocal Boundary Value Problem For A System Of Mixed Type Equations With A Line Of Degeneration, Kudratillo Fayazov, Ikrombek Khajiev
Nonlocal Boundary Value Problem For A System Of Mixed Type Equations With A Line Of Degeneration, Kudratillo Fayazov, Ikrombek Khajiev
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
This work is devoted to the study of a nonlocal boundary value problem for a system of twodimensional parabolic equations with changing direction of time. A priori estimate is obtained for the solution of the problem under consideration, and theorems on stability and conditional stability are proved depending on the parameters of the nonlocal condition. As a result, the uniqueness of the solution to the problem is presented.