Mathematical And Computational Modelling For Biosensors: A Modular Approach,
2012
Technological University Dublin
Mathematical And Computational Modelling For Biosensors: A Modular Approach, Yupeng Liu
Doctoral
Biosensors are analytic devices which detect biochemical and physiological changes and represent an emerging technology for low-cost, rapid and simple-to-operate biomedical diagnostic tools. Biosensor design and functionality are based on well understood physical and chemical processes which can be easily translated into mathematical models involving ordinary and partial di erential equations. Using mathematical and computational modelling techniques to characterize the biosensor response as a function of its input parameters in a wide range of physical contexts can guide the experimental work, thus reducing development time and costs.
This thesis is based on a close collaboration with Biochemistry researchers at the …
A Study Of Women Working In The Actuarial Field,
2012
Actuarial Mathematics Concentration
A Study Of Women Working In The Actuarial Field, Jillian Emberg
Honors Projects in Mathematics
The goal of this project is to examine how women fit into the actuarial career path and how cultural expectations, biological factors, and personal aspirations affect their experiences in the field. Dramatic changes in the profession have occurred since its emergence in the nineteenth century to become more welcoming to women who choose to enter the profession. However, despite the equalizing demographic shifts of the field, it is still a male-dominated profession. This paper attempts to analyze why some of the changes in the demographics of the field have occurred as well as explain what factors contribute to women’s underrepresentation …
Cost Of Winning: What Contributing Factors Play The Most Significant Roles In Increasing The Winning Percentage Of A Major League Baseball Team?,
2012
Bryant University
Cost Of Winning: What Contributing Factors Play The Most Significant Roles In Increasing The Winning Percentage Of A Major League Baseball Team?, Patrick Tartaro
Honors Projects in Finance
Over the past decade, discussions of competition disparity in Major League Baseball have been brought to the forefront of many debates regarding the sport. The belief that "large market" teams such as the New York Yankees buy their championships through acquiring star talent at high prices has become a common belief of many followers of the game. This research will answer the pressing question, "What are the most significant factors that correlate to a Major League Baseball Team’s winning percentage?”. I used stepwise regression to identify factors significantly related to winning percentage. Interestingly enough, payroll is not a significant factor …
The Mathematics Portfolio: An Alternative Tool To Evaluate Students’ Progress,
2012
CUNY Guttman Community College
The Mathematics Portfolio: An Alternative Tool To Evaluate Students’ Progress, Marla A. Sole
Publications and Research
This article describes the need for more thorough and varied forms of assessment to evaluate students’ level of understanding in mathematics. Portfolios are one type of assessment tool that, when added to a teacher’s repertoire can improve students’ comprehension and retention and enable students to monitor their own progress and to take more responsibility for their own learning. Portfolio assignments can also help students and teachers to detect and remedy weaknesses and misunderstandings and can increase students’ self-confidence in mathematics. This article discusses what a portfolio is, gives an example of a unit portfolio used in an undergraduate Finite Mathematics …
A Multidimensional Ruin Problem,
2012
Louisiana State University
A Multidimensional Ruin Problem, S Ramasubramanian
Communications on Stochastic Analysis
No abstract provided.
Roots Of States,
2012
Louisiana State University
Roots Of States, B V Rajarama Bhat
Communications on Stochastic Analysis
No abstract provided.
Lévy Processes Through Time Shift On Oscillator Weyl Algebra,
2012
Università degli Studi di Roma Tor Vergata
Lévy Processes Through Time Shift On Oscillator Weyl Algebra, Luigi Accardi, Habib Ouerdiane, Habib Rebei
Communications on Stochastic Analysis
No abstract provided.
A Vacuum-Adapted Approach To Quantum Feynman-Kac Formulae,
2012
Louisiana State University
A Vacuum-Adapted Approach To Quantum Feynman-Kac Formulae, Alexander C R Belton, J Martin Lindsay, Adam G Skalski
Communications on Stochastic Analysis
No abstract provided.
Multiple Q-Adapted Integrals And Itô Formula Of Noncommutative Stochastic Calculus In Fock Space,
2012
Louisiana State University
Multiple Q-Adapted Integrals And Itô Formula Of Noncommutative Stochastic Calculus In Fock Space, V P Belavkin, M F Brown
Communications on Stochastic Analysis
No abstract provided.
The Early Years Of Quantum Stochastic Calculus,
2012
Louisiana State University
The Early Years Of Quantum Stochastic Calculus, R L Hudson
Communications on Stochastic Analysis
No abstract provided.
Large Deviations For Random Matrices,
2012
Louisiana State University
Large Deviations For Random Matrices, Sourav Chatterjee, S R S Varadhan
Communications on Stochastic Analysis
No abstract provided.
Some Problems Involving Airy Functions,
2012
Louisiana State University
Some Problems Involving Airy Functions, V S Varadarajan
Communications on Stochastic Analysis
No abstract provided.
An Interpolating Family Of Means,
2012
Louisiana State University
An Interpolating Family Of Means, Rajendra Bhatia, Ren-Cang Li
Communications on Stochastic Analysis
No abstract provided.
Hilbert Von Neumann Modules,
2012
Louisiana State University
Hilbert Von Neumann Modules, Panchugopal Bikram, Kunal Mukherjee, R. Srinivasan, V S Sunder
Communications on Stochastic Analysis
No abstract provided.
Bell's Inequality Violations: Relation With De Finetti's Coherence Principle And Inferential Analysis Of Experimental Data,
2012
Louisiana State University
Bell's Inequality Violations: Relation With De Finetti's Coherence Principle And Inferential Analysis Of Experimental Data, Franco Fagnola, Matteo Gregoratti
Communications on Stochastic Analysis
No abstract provided.
From Velocities To Fluxions,
2012
Chapman University
From Velocities To Fluxions, Marco Panza
MPP Published Research
"Though the De Methodis results, for its essential structure and content, from a re-elaboration of a previous unfinished treatise composed in the Fall of 1666—now known, after Whiteside, as The October 1666 tract on fluxions ([22], I, pp. 400-448)—, the introduction of the term ‘fluxion’ goes together with an important conceptual change concerned with Newton’s understanding of his own achievements. I shall argue that this change marks a crucial step in the origins of analysis, conceived as an autonomous mathematical theory."
A Fast-Slow Analysis Of The Dynamics Of Rem Sleep,
2012
Gettysburg College
A Fast-Slow Analysis Of The Dynamics Of Rem Sleep, Victoria Booth, Cecilia G. Diniz Behn
Math Faculty Publications
Waking and sleep states are regulated by the coordinated activity of a number of neuronal population in the brainstem and hypothalamus whose synaptic interactions compose a sleep-wake regulatory network. Physiologically based mathematical models of the sleep-wake regulatory network contain mechanisms operating on multiple time scales including relatively fast synaptic-based interations between neuronal populations, and much slower homeostatic and circadian processes that modulate sleep-wake temporal patterning. In this study, we exploit the naturally arising slow time scale of the homeostatic sleep drive in a reduced sleep-wake regulatory network model to utilize fast-slow analysis to investigate the dynamics of rapid eye movement …
The Seaborgium Chemical Table,
2012
Butler University
The Seaborgium Chemical Table, Jeremiah Farrell
Scholarship and Professional Work - LAS
The diagram is an example of a connected, cubic graph with its ten nodes labelled with the letters of SEABORGIUM, chemical element 106. Connected means it is in one piece and cubic means that each node has exactly three edges on it.
Squaring, Cubing, And Cube Rooting,
2012
Harvey Mudd College
Squaring, Cubing, And Cube Rooting, Arthur T. Benjamin
All HMC Faculty Publications and Research
I still recall my thrill and disappointment when I read Mathematical Carnival, by Martin Gardner. I was thrilled because, as my high school teacher had recommended, mathematics was presented in a playful way that I had never seen before. I was disappointed because it contained a formula that I thought I had "invented" a few years earlier. I have always had a passion for mental calculation, and the following formula appears in Gardner's chapter on "Lightning Calculators." It was used by the mathematician A. C. Aitken to mentally square large numbers.
Short-Term Plasticity At The Schaffer Collateral: A New Model With Implications For Hippocampal Processing,
2012
Portland State University
Short-Term Plasticity At The Schaffer Collateral: A New Model With Implications For Hippocampal Processing, Andrew Hamilton Toland
Dissertations and Theses
A new mathematical model of short-term synaptic plasticity (STP) at the Schaffer collateral is introduced. Like other models of STP, the new model relates short-term synaptic plasticity to an interaction between facilitative and depressive dynamic influences. Unlike previous models, the new model successfully simulates facilitative and depressive dynamics within the framework of the synaptic vesicle cycle. The novelty of the model lies in the description of a competitive interaction between calcium-sensitive proteins for binding sites on the vesicle release machinery. By attributing specific molecular causes to observable presynaptic effects, the new model of STP can predict the effects of specific …
