Oral Session 05Copyright (c) 2023 Minnesota State University, Mankato All rights reserved.
https://cornerstone.lib.mnsu.edu/urs/2009/oral-session-05
Recent Events in Oral Session 05en-usMon, 27 Nov 2023 07:41:32 PST3600Mathematical Modeling of Tick-Borne Encephalitis in Humans
https://cornerstone.lib.mnsu.edu/urs/2009/oral-session-05/6
https://cornerstone.lib.mnsu.edu/urs/2009/oral-session-05/6Mon, 27 Apr 2009 10:00:00 PDT
We have developed mathematical model of Tick-Borne Encephalitis to better understand their phenomena and dynamics. We also have studied the relationship between vectors and their hosts in this disease. This project will show our modeling process and biological understanding through a computer simulation.
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Michael Meyer et al.Synchronization of Biological Oscillators
https://cornerstone.lib.mnsu.edu/urs/2009/oral-session-05/5
https://cornerstone.lib.mnsu.edu/urs/2009/oral-session-05/5Mon, 27 Apr 2009 10:00:00 PDT
Many biological systems consisting of a population of oscillators exhibit self-synchronization. In such populations, components that naturally behave periodically respond in some way to oscillations of other components. Each individual has its own natural frequency but is capable of adjusting its frequency according to the frequencies of the other individuals in the population. The phase position of a particular oscillator determines how influential it is on other oscillators via an "influence function". An oscillator's current phase position also determines how sensitive it is to other oscillators according to a "sensitivity function". With the assumption that every oscillator in a population has the same influence and sensitivity functions, we constructed a system of differential equations to model each oscillator's rate of change of phase position. We also assumed a normal distribution of natural frequencies across the population. We found that under certain conditions, large numbers of oscillators become synchronized almost spontaneously. This phenomenon can be seen in some populations of fireflies who synchronize their flashing, in the pacemaker cells of the heart, and in certain types of neurons just to name a few examples. In a sense, we witness the emergence of order out of a chaotic system.
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Joshua Wuollet et al.On Sign-Solvable Linear Systems and Their Applications in Economics
https://cornerstone.lib.mnsu.edu/urs/2009/oral-session-05/4
https://cornerstone.lib.mnsu.edu/urs/2009/oral-session-05/4Mon, 27 Apr 2009 10:00:00 PDT
Sign-solvable linear systems are part of a branch of mathematics called qualitative matrix theory. Qualitative matrix theory is a development of matrix theory based on the sign (-, 0, +) of the entries of a matrix. Sign-solvable linear systems are useful in analyzing situations in which quantitative data is unknown or hard to measure, but qualitative information is known, usually based on theory. These situations arise frequently in a variety of disciplines outside of mathematics, including economics and biology. The applications of sign-solvable linear systems in economics are documented and the development of new examples is formalized mathematically. Additionally, recent mathematical developments about sign-solvable linear systems and their implications to economics are discussed.
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Eric HansenDifferentiable Game Theory and Strategic Decision Making in Business
https://cornerstone.lib.mnsu.edu/urs/2009/oral-session-05/3
https://cornerstone.lib.mnsu.edu/urs/2009/oral-session-05/3Mon, 27 Apr 2009 10:00:00 PDT
Game Theory is a branch of applied mathematics often used in the social sciences. Simple games involve two players competing against each other. The goal for each player in a game is to maximize their benefit as much as possible. Game theory attempts to solve and analyze the optimal decisions for each player in order to reach their goal. In discrete game theory, these decisions are taken in turns or in steps. In differential game theory, decisions are made on a continuous basis and each player's optimal (control) strategy is studied. A standard example of differential game theory is the homicidal chauffeur pursuit problem, in which a fast car attempts to catch a slow, but very mobile, person. In this talk, we describe a differential game involving two corporations' advertising strategies. We examine how slight alterations to the rules of the game affect the optimal strategies.
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Austen RudExpression of 9/13 Hydroperoxide Lyase in Cucumber Leaves
https://cornerstone.lib.mnsu.edu/urs/2009/oral-session-05/2
https://cornerstone.lib.mnsu.edu/urs/2009/oral-session-05/2Mon, 27 Apr 2009 10:00:00 PDT
Fatty Acid 9/13-Hydroperoxide Lyase (9/13-HPL) in the cucumber plant is an enzyme that cleaves either 9- or 13-hydroperoxides of polyunsaturated fatty acids to form volatile C9 or C6 aldehydes respectively. Since these aldehydes may play a role in the plant's defenses against pathogens (K. Matsui, et. al. Phytochemistry 67 (2006) 649-657), the enzyme is stress induced during vulnerable times such as when the plant is injured. In order to better understand how this enzyme is induced, we tested the effect of various factors on transcription of the 9/13-HPL gene. We specifically tested factors that have been shown to induce defense responses in other plant systems. Real Time Polymerase Chain Reaction was used to quantitate levels of 9/13-HPL mRNA. In initial experiments, the effect of mechanical wounding of cucumber cotyledons on the transcription levels of the 9/13-HPL gene in wounded tissue and unwounded leaves was examined. In subsequent experiments, the effects of mechanical wounding coupled with treatment with methyl jasmonate, ethylene or norborandiene (an ethylene antagonist), was tested. The RNeasy Plant Minikit from Qiagen was used to isolate mRNA from the plant tissue. SYBR Green was used as the detection system for Real Time PGR.
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Samee RanginwalaDetermination of Structural Polysaccharides and Lignln in Cattail Biomass
https://cornerstone.lib.mnsu.edu/urs/2009/oral-session-05/1
https://cornerstone.lib.mnsu.edu/urs/2009/oral-session-05/1Mon, 27 Apr 2009 10:00:00 PDT
Preliminary research in this lab suggested that cattail biomass was a possible resource for the production of cellulosic ethanol. To rigorously assess the economic potential for making ethanol from cattails. Standard Laboratory Analytical Procedures developed by the National Renewable Energy Laboratory were used to characterize the extractives, structural carbohydrates and lignin in cattail leaves. Extractives were determined by using Soxhlet extraction with water followed by ethanol. Initial trials indicated that dried cattail leaves contained 20% water extractives and 6% ethanol extractives. The dried residual solid was autoclaved with 4% sulfunc acid for one hour. The mixture filtered through a filter crucible. The recovered liquid was analyzed for acid-soluble lignins by its uv absorbance and for carbohydrates by high performance liquid chromatography. The recovered solid was analyzed for acid-insoluble lignin and ash gravimetrically.
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Sarita Bhetawal