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Downloads
Views
Date
Relevance
Potential Scenario
139
views
42
downloads
0
comments
2018-Yu-Craciun-Mathematical_Analysis_of_Chemical_Reaction_Systems
These models of chemical reactions are systems of coupled nonlinear differential equations on the positive orthant.
biochemical
kinetics
reaction
reaction network
mass action
Modeling Scenario
223
views
126
downloads
0
comments
6-030-SaltAndTorricelli-ModelingScenario
We build on a model for the height of a falling column of water with a small hole in the container at the bottom of the column of water. We use data from one video of a falling column of water.
whole picture
tank
mixing
flow
column of water
salt mixing
graduated cylinder
aperture
Torricelli's Law
Potential Scenario
155
views
58
downloads
0
comments
2003-Richard-Carson-Tracer kinetic modeling in PET
The use of radiopharmaceuticals and the imaging of their biodistribution and kinetics with modern instrumentation are key components to successful developments in PET.
Metabolism
tomography
radiopharmaceuticals
positron emission
Potential Scenario
184
views
83
downloads
0
comments
2014-Enderling-Chaplain-Mathematical Modeling of Tumor Growth and Treatment
Herein we describe fundamentals of mathematical modeling of tumor growth and tumor-host interactions, and summarize some of the seminal and most prominent approaches.
cancer
tumor modeling
angiogenesis
tumor growth
patient care
Potential Scenario
127
views
64
downloads
0
comments
2013-Michael-Evans-Growth and Decay
Sometimes, we can describe processes of growth and decay—whether physical, chemical, biological or sociological—by mathematical models.
exponential growth
exponential decay
isotopes
populations
resource depletion
Potential Scenario
160
views
64
downloads
0
comments
2002-Nelson-Perelson-Mathematical analysis of delay differential equations models of HIV-1 infection
We develop and analyze a set of models that include intracellular delays, combination antiretroviral therapy, and the dynamics of both infected and uninfected T cells.
infection
HIV
T cells
Potential Scenario
169
views
35
downloads
0
comments
1991-Thoddi_Kotiah-Difference and differential equations in the mathematics of finance
Many problems arising in the mathematics of finance involve identical money flows at regular time intervals and are typically solved by appropriate valuation at a focal date or by setting up an equation of value.
finance
savings
growth fund
interest
mortgage
annuity
depreciation
Modeling Scenario
394
views
297
downloads
0
comments
1-061-PotatoCooling-ModelingScenario
We model the cooling of a baked potato and compare it to student-collected data.
least sum of square errors
Newton's Law of Cooling
cooling
potato
Modeling Scenario
212
views
431
downloads
0
comments
5-002-RelationshipDynamics-ModelingScenario
The different possible dynamics of a two-person romantic relationship are modeled -- as a linear two dimensional system of equations -- and analyzed.
love affair
Romeo and Juliet
Potential Scenario
118
views
53
downloads
0
comments
2017-Agmour-EtAl-Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable management of the resources and the second one is...
Fishing
harvest
Nash equilibrium
optimize
profits
Potential Scenario
182
views
53
downloads
0
comments
2012-Augustus-Wali-Mathematical Modeling of Uganda Population Growth
The purpose of this paper focuses on the application of logistic equation to model the population growth of Uganda using data from 1980 to 2010 (inclusive).
population growth
logistic growth
Drug and Alcohol detoxification
carrying capacity
vital coefficients
Potential Scenario
251
views
61
downloads
0
comments
1968-Wagner-Aghajanian-Bing-Correlation of performance test scores with tissue concentration of lysergic acid diethylamide
This paper offers a two compartment model of lysergic acid diethylamide (LSD) in volunteer students and through parameter estimation models the amount of LSD in the tissue after its initial administration through the plasma.
LSD
correlation coefficient
compartment model
lysergic acid diethylamide
performance
test score
tissue concentration
Potential Scenario
267
views
35
downloads
0
comments
2008-Claire_Vailance-Reaction_Kinetics-Course_Notes
This is but one of several set of notes which may interest the reader on chemical kinetics.
kinetics
parameters
rate constant
chemical kinetics
reactions
Potential Scenario
391
views
45
downloads
0
comments
2011-Yuan-EtAl-Real life applications of ODEs for Undergraduates
This study introduces real-life mathematical theories and models of international relationships suitable for undergraduate ordinary differential equations, by investigating contradicts between different nations or alliances.
arms race
Richardson model
Battle of CurupaytÃ
international relationships
Potential Scenario
99
views
46
downloads
0
comments
2003-Givens-Bonfima-Direct observation of normal modes in coupled oscillators
We propose a simple and inexpensive method to directly observe each normal mode of a system of coupled oscillators, as well as to measure its corresponding frequency, without performing Fourier analysis or using expensive apparatus.
frequency
resonance
coupled oscillator
Article or Presentation
144
views
29
downloads
0
comments
2013-Brian_Winkel-An_Optimal_Control_Model_in_Insect_Colonies
we find and develop background material on an application of optimal control theory to model the evolutionary strategy of an insect colony to produce the maximum number of queen or reproducer insects in the colony at the end of a season.
insect colony
optimal control
parameter
Technique Narrative
465
views
228
downloads
0
comments
1-002-IntegratingFactor-TechniqueNarrative
We develop a strategy to solve first order differential equations by transforming one side of the equation to the derivative of a product of two functions, thereby making it easy to antidifferentiate that side.
Integrating Factor
Potential Scenario
134
views
40
downloads
0
comments
2011-Carl_Leinbach-Beyond Newton's law of cooling - estimation of time since death
The paper offers an excellent history of temperature-based methods and then proceeds to demonstrate these with some data. Here the history is rich and will support student investigation as well as faculty development.
time of death
Newton's aw of cooling
Potential Scenario
200
views
45
downloads
0
comments
2020-Cline_Fasteen_Francis_Sullivan_Wendt-Vision_for_Projects_Across_Mathematics_Curriculum
We consider the use of projects in math courses as a mechanism for promoting coding, communication, and interdisciplinary application of math skills. Final projects play an important role, but we also discuss several alternate types of projects.
modeling
interdisciplinary
writing
coding
project
technical writing
Potential Scenario
133
views
100
downloads
0
comments
2017-Biswasa-EtAl-Mathematical Modeling Applied to Sustainable Management of Marine Resources
We study a nonlinear mathematical model of fishery management to understand dynamics of a fishery resource system in an aquatic environment that consists of two zones; one free fishing zone and another reserve zone where fishing is strictly...
natural resources
marine resources
fishery model
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