In this work, we consider a convexity splitting scheme for a coupled phase field and energy equation, a modification of Stefan problem. The Stefan problem is a free boundary value problem that models the temperature in a homogeneous multiphase medium. Each phase is modeled using a heat diffusion parabolic partial...
A foundation for the control of tumors is presented,
based upon the formulation of a realistic, knowledge-based
mathematical model of the interaction between tumor cells
and the immune system. The parametric control variables
relevant to the latest experimental data, e.g., the sigmoidal
dose-response relationship and Michaelis-Menten dynamics,
are also considered....
Snakebite envenoming is a neglected tropical disease that has received increased research attention in the past few years. However, snakebite prevalence and impact in India has been a neglected area of study, despite the high disease burden in this region. Both qualitative and quantitative approaches to studying snakebite processes are...
Bats possess arrays of distributed ow-sensitive hair-like mechanoreceptors on their dorsal and ventral wing surfaces. It is generally hypothesized that the hair sensor array provides air ow feedback during ight. Speci cally, the sensing of leading and trailing edge vortices that are shed during apping ight has been proposed. In...
An upscaled elliptic-parabolic system of partial differential equations
describing the multiscale flow of a single-phase incompressible fluid and
transport of a dissolved chemical by advection and diffusion through a heterogeneous
porous medium is developed without the usual assumptions of scale
separation. After a review of homogenization results for the traditional...
We define the notion of sustainable yields for ecosystem, with particular
emphasis on long-run consistency between ecological and economic conflicting
objectives. We provide a way to compute sustainable yields by means of
a viability analysis of generic ecosystem models with harvesting. We apply
our approach to a Lotka–Volterra model of...
The validation and potential use of mathematical models to estimate the
shelf-life of refrigerated food exposed to temperature abuse and basing such
estimations on microbial growth was analyzed. Combined heat transfer, microbial
growth models, and non-parametric statistical procedures formed a computer-based
predictive tool to assess shelf-life and estimate the accuracy...
The Common Core State Standards for Mathematical Practice (SMPs) describe ways of thinking and doing mathematics that parallels how mathematicians engage with mathematics (National Governors Association for Best Practices, 2010). These standards reflect a broader goal in K-12 mathematics education focused on moving beyond K-12 learners acquiring knowledge of mathematical...
Adsorptive bubble-separation processes are used to
remove adsorptive contaminants from wastewater. A
mathematical model was developed for the adsorptive bubble
separation processes in a countercurrent column. The model
included an assumption that linear adsorption of the solute
occurred on the gas bubbles. Predictions indicated that
aqueous column height has less...
Cryopreservation nearly universally depends on the equilibration of cells and tissues with high concentrations of permeating chemicals known as cryoprotective agents, or CPAs. Despite their protective properties, CPAs can cause damage as a result of osmotically-driven cell volume changes, as well as chemical toxicity. In this study, we have used...
Reliability, the probability that a system will not fail but will
perform correctly at least until some arbitrary time, is becoming
an increasingly important concept in electronic system design. This
probability is evaluated using probability density functions which are
obtained analytically by forming mathematical expressions describing the failure distributions of...
The purpose of this case study was to examine a third-grade teacher’s effective use of mathematical discourse in the classroom setting. The study offers insights into the following research questions: 1) How does a teacher’s engagement in mathematical discourse communities influence her practice and self-efficacy as a mathematics educator? 2)...
The purpose of this study was to examine the problem solving processes of
Thai gifted students when they solved non-routine mathematical problems. The
research questions guiding the study were: (1) What is the nature of the problem
solving processes that Thai gifted students use as they engage in solving non-routine...
Successful cryopreservation of all biological specimens would have an untold positive impact on medicine and scientific research. However, cryopreservation of the most complex biological specimens, such as tissues and organs, remains elusive. Vitrification, or ice-free cryopreservation, is promising for cryopreservation of complex specimens. The biggest challenge, though, is the toxicity...
In 1959 the British Ornithological journal, The Ibis, published a centenary commemorative volume on the history of ornithology in Britain. Over the previous few decades, the contributors to this volume had helped focus the attention of ornithologists on the methods, priorities, and problems of modem biology, specifically the theory ofevolution...
The stability of small oscillations of the troposkeinshaped
blade used on Darrieus wind turbines is investigated.
The blade is assumed to be attached to a perfectly rigid rotor
shaft and spinning in still air. Linear equations of motion are
derived which include the effects of in-plane, out-of-plane,
and torsional stiffness,...
Published October 1990. Facts and recommendations in this publication may no longer be valid. Please look for up-to-date information in the OSU Extension Catalog: http://extension.oregonstate.edu/catalog
Published March 1991. Facts and recommendations in this publication may no longer be valid. Please look for up-to-date information in the OSU Extension Catalog: http://extension.oregonstate.edu/catalog