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Downloads
Views
Date
Relevance
Potential Scenario
139
views
35
downloads
0
comments
1967-Israelsson- Johnsson-Circumnutations In Helianthus Annuus
A theory is given for circumnutations in plants, especially hypocotyls of Helianthus annuus, which were used as experimental material.
plant
oscillation
delay
circumnutation
turning
Potential Scenario
131
views
47
downloads
0
comments
1988-Michael Intriligator-Dagobert Brito-A Predator-Prey Model of Guerrilla Warfare
The authors present a three variable: numbers of guerrillas, numbers of regular (government) soldiers, and size of population controlled by the guerrillas, at time t), nonlinear system of three differential equations.
combat model
guerrilla warfare
government
Potential Scenario
269
views
41
downloads
0
comments
1976-JG-Wagner-Computers in pharmacokinetics
This is a seminal paper in pharmacokinetics in which the author introduces historic notions and approaches. As can be seen from the abstract there is a variety of material here.
kinetics
computer
parameters
Pharmacology
drugs
pharmacokinetics
Potential Scenario
139
views
60
downloads
0
comments
1964-Aghajanian-Bing-Persistence Of LSD In Plasma In Human Subjects
Two micrograms per kilogram of LSD-25 was administered intravenously to five normal human subjects. The concentration of[ drug in plasma was determined serially over the subsequent 8 hours. We model this.
LSD
score
plasma
lysergic acid diethylamide
human subjuects
Article or Presentation
441
views
77
downloads
0
comments
2007-John_Jungck-Ten_Equations_that_Changed_Biology-Mathematics_in_Problem-Solving_Biology_Curricula The author
These equations were selected upon the basis of wide-spread recognition of the value of the models.
biology
equations
ten equations
Potential Scenario
154
views
49
downloads
0
comments
2018-Chris McCarthy-Newtons Law of Cooling
You have hot water (initial temperature ) in a container, say a cup or glass. The temperature in the room is cooler, say a constant degrees Celsius. Come up with a differential equation that models the water's temperature.
data
water
Newton's Law of Cooling
cooling
Potential Scenario
200
views
53
downloads
0
comments
2018-Van_Kinh Nguyen-Esteban_Hernandez-Vargas-Parameter estimation in mathematical models of viral infections using R
Mathematical modeling has played a central role to understand mechanisms in different viral infectious diseases. In this approach, biological-based hypotheses are expressed via mathematical relations and then tested based on empirical data.
simulation
disease
virus
viral infection
Potential Scenario
134
views
41
downloads
0
comments
2018-Nyanginja-Angwenyi-Musyoka-Orwa - Mathematical modeling of the effects of public health education on tungiasis
In this paper, we formulate and study a mathematical model for the dynamics of jigger infestation incorporating public health education using systems of ordinary differential equations and computational simulations.
disease
endemic
reproduction number
tungiasis
jigger infestation
Article or Presentation
121
views
32
downloads
0
comments
1994-Brian_Winkel-Designated_Student_Grading _as_a_Learning_Device
We describe how we engaged students in the course to grade regular homework assignments of that same class and the added learning opportunities in doing so.
student grader
Potential Scenario
249
views
39
downloads
0
comments
2018-Robert_Phair-Differential_equation_methods_for_simulation_of_GFP_kinetics_in_non–steady_state_experiments
Here, we derive new tracer kinetic analytical methods for non–steady state biological systems by constructing mechanistic nonlinear differential equation models of the underlying cell biological processes.
protein quality control
kinetics
Cells
steady state
chemical kinetics
fluouresence
photoactivation
inytracellular
Potential Scenario
249
views
31
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
Article or Presentation
147
views
39
downloads
0
comments
1979-Brian_Winkel-Elementary_My_Dear_Watson_Differential_Equation
Sherlock Homes explains to Doctor Watson how he solves a murdermystery using Newton's Law of Cooling.
Newton's Law of Cooling
Sherlock Holmes
time of detah
Article or Presentation
188
views
40
downloads
0
comments
2011-Brian_Winkel-Cross_coursing_in_mathematics-physical_modeling_in_differential_equations_crossing_to_discrete_dynamical_systems
We give an example of cross coursing in which a subject or approach in one course in undergraduate mathematics is used in a completely different course.
differential equations
mathematical model
difference equation
cross course
convert
Article or Presentation
163
views
38
downloads
0
comments
2013-Brian_Winkel-Browsing_Your_Way_to_Better_Teaching
We describe the use of browsing and searching (in libraries, on-line, inside sources, at meetings, in abstracts, etc.) as a way to stimulate the teacher of undergraduate mathematics, specifically in differential equations.
resources
modeling
teaching
browse
sources
Article or Presentation
141
views
45
downloads
0
comments
2008-Brian_Winkel-Fourier_Series-Optimization_Opportunity
We discuss the introduction of Fourier series as an immediate application of optimization of a function of more than one variable.
optimization
discovery
Fourier
Fourier seris
Article or Presentation
145
views
47
downloads
0
comments
2011-Brian_Winkel-Sourcing_for_parameter_estimation_and_study_of_logistic_differential_equation
We present two simulation activities for students to generate real data and several data sources for the purpose of estimating parameters in the logistic differential equation model.
data
parameter estimation
parameter
logistic equation
source
Article or Presentation
138
views
43
downloads
0
comments
2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Chemical_Kinetics
We estimate the parameters present in several differential equation models of chemical kinetics and logistic growth.
kinetics
parameter estimation
logistic
chemical kinetics
chemical reaction
Article or Presentation
133
views
34
downloads
0
comments
2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Population_Growth
We estimate the parameters present in several differential equation models of population growth, specifically single species exponential and logistic growth, and multiple species competition and predation models.
population model
parameter estimation
population
parameter
Article or Presentation
135
views
36
downloads
0
comments
2007-Joseph_Myers-Brian_Winkel-Modeling_a_Mystery_Circuit_in_Mathematics_Class_Using_Differential_Equations_Laplace_Transforms_and_Transfer_Functions
We discuss the introduction, student discovery, and teaching of a system of differential equations which model a circuit.
circuit
Laplace transform
transfer function
mystery circuit
voltage frequency
two loop circuit
Article or Presentation
203
views
40
downloads
0
comments
2015-Differential_Equations-CUPM_Curriculum_Guide_to_Majors_in_the_Mathematical _Sciences
This is a report from the working group charged with making recommendations for the undergraduate curriculum in differential equations.
differential equations
curriculum
CUPM
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