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Views
Date
Relevance
Potential Scenario
156
views
50
downloads
0
comments
2011-Nguyen-Shi-Modeling the absorption circulation and metabolism of tirapazamine
This apparently is a student project and it develops the kinetic model, uses Matlab for numerical solution, analytic solution and numerical solution.
absorption
Michaelis-Menten
Metabolism
drug metabolism
circulation
Technique Narrative
382
views
189
downloads
0
comments
1-003-IntroNumericalMethods-TechniqueNarrative
We develop elementary approaches to numerically solving first order differential equations with Euler's Method, Improved Euler's Method and develop these geometrically to compute numeric solutions and compare them to analytic solutions.
analytic solution
Euler's method
improved Euler's method
Technique Narrative
408
views
197
downloads
0
comments
2-001-NumericalMethodsComparisons-TechniqueNarrative
This material teaches the basics of numerical methods for first order differential equations by following graphical and numerical approaches. We discuss the order of accuracy of the methods and compare their CPU times.
Euler's method
improved Euler's method
RK3 methods
RK4 methods
order of accuracy
absolute error
CPU time
Potential Scenario
173
views
61
downloads
0
comments
2019-Hu-Treinen-One-step_method_for_modelling_longitudinal_data_with_differential_equations
This study proposes a new approach to estimate the parameters in differential equation models used to describe non-linear trajectories of longitudinal data.
simulation
parameter estimation
shopping
fitting
behaviour
Potential Scenario
607
views
78
downloads
0
comments
2023-TechShareNotes. Differential Equations Modeling
TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as excellent diagrams and explanations.
population dynamics
predator-prey
circuit
reaction
spring mass
pharmacokinetics
cooling
Modeling Scenario
287
views
95
downloads
0
comments
10-001-TilingHallway-ModelingScenario
Students investigate difference equations through tiling hallways. They observe patterns in the tiling which lead to a difference equation. Solutions will be calculated by iteration. and the shift operator.
Geometry
iteration
tiling
recurrence
shift operator
patterns
closed form
analytic solution
Free Online Textbook
276
views
97
downloads
0
comments
2017-Thomas_Judson-The_Ordinary_Differential_Equations_Project
This text is intended for a one-semester undergraduate course in ordinary differential equations. There are additional exercises or computer projects at the ends of many of the chapters.
projects
mathematical model
textbook
techniques
free
proofs
sage
Theory
Modeling Scenario
294
views
504
downloads
0
comments
1-031-CoolIt-ModelingScenario
We offer data on the temperature of water in a beaker in a room of constant temperature and in a room of nonconstant temperature. Students consider both empirical and analytic modeling approaches. We offer additional data sets in Excel...
Spanish
Newton's Law of Cooling
cooling
Potential Scenario
163
views
69
downloads
0
comments
2017-William_Bialek-Boxes and Arrows To Differential Equations
This material uses pictures to build kinetic models of reactions and then offers analytic solutions.
Michaelis-Menten
Enzyme
substrate
DNA\kinetis
Technique Narrative
494
views
165
downloads
0
comments
5-012-LinearSystemConjecture-TechniqueNarrative
Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing eigenvalues and eigenvectors through student...
discovery learning
conjecture
solution
substitution
Potential Scenario
197
views
64
downloads
0
comments
1988-EY_Rodin-N_Taber-Yeast Growth Modelling in a Laboratory
Modeling simple growth with some missing data and doing linear regression for parameter estimation in closed form solution of differential equation model and data.
regression
yeast
growth
Modeling Scenario
307
views
136
downloads
0
comments
1-118-SolowEconomicGrowth-ModelingScenario
Students construct and analyze the celebrated Solow-Swan model of economic growth theory. The project is divided into three sequential parts to teach students to understand, develop, and analyze a simple nonlinear model of economic dynamics.
optimization
economics
steady state
growth
Solow-Swan model
capital
production
labor
Golden Rule of Economic Growth
Potential Scenario
174
views
80
downloads
0
comments
2017-Ole_Witt-Hansen-Examples Of Differential Equations In Physics
This is an article from the author’s homepage. The work contains fundamental and basic background and derivation of the differential equation models for a number of phenomena.
projectile
air resistance
free fall
drag
harmonic oscillation
Potential Scenario
193
views
54
downloads
0
comments
1975-DH_Griffel-Teaching the formation and solution of differential equations
This paper raises many interesting questions about teaching the formation (and solution) of differential equations, i.e. modeling with differential equations.
parasites
Topography
population
epidemic
traffic flow
social interactions
fish weight
arms race
Modeling Scenario
239
views
505
downloads
0
comments
3-076-CircuitBuilding-ModelingScenario
In this project students will establish a mathematical model for an electric circuit as a second-order ordinary differential equation with constant coefficients.
simulation
experiment
Multisim
circuit
inductance
capacitor
Kirchhoff's Voltage Law
resistor
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