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Downloads
Views
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Modeling Scenario
260
views
210
downloads
0
comments
3-105-FrequencyResponse-ModelingScenario
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.
transient dynamics
circuit
spring mass
driver
frequency response
amplitude
steady state
Modeling Scenario
835
views
698
downloads
0
comments
4-023-MysteryCircuit-ModelingScenario
Students to build a system of differential equations which model a circuit. We give each student a unique input voltage frequency parameter and ask for system response (gain) to that input as a voltage over one of the resistors.
filters
circuit
RLC circuit
Kirchhoff
voltage
gain
driver
Modeling Scenario
225
views
214
downloads
0
comments
4-050-ResonanceBeats-ModelingScenario
We study what can happen when a pure oscillator (no damper) is driven by a forced vibration function which has the same or close to the same natural frequency as the system it is driving.
Spring 2020 workshop
vibration
tuning
driver
resonance
forced vibration
undamped
beats
naturl frequency
Potential Scenario
155
views
96
downloads
0
comments
2014-John_Cimbala-Dynamic System Response
In this learning module, we discuss the dynamic system response of sensors and their associated electronic circuits.
sensor networks
oscillations
system response
electronic circuit
Modeling Scenario
480
views
403
downloads
0
comments
1-096-OP-AMP-Differentiator-ModelingScenario
The output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and compared with the data acquired from numerical model (using...
simulation
Measurement
feedback
Multisim
circuit
voltage
operational amplifier
validation
SPICE
Modeling Scenario
321
views
211
downloads
0
comments
9-012-PDEGuitarTuning-ModelingScenario
We lead students through a derivation of a partial differential equation which models the motion of a string held at both ends, a case of the one-dimensional wave equation, and then play it on Mathematica.
extension
sine waves
frequency
guitar
damping
Fourier
string
tuning
Modeling Scenario
255
views
209
downloads
0
comments
3-071-WirelessTelegraphy-ModelingScenario
This project has three parts, (1) done at home, (2) and (3) in class. In (1) we recall how to solve second order differential equations with constant coefficients and simple source functions. In class understand resonance and beats.
b
RLC circuit
resonance
beats
current
wireless telegraphy
LC circuit
Potential Scenario
238
views
57
downloads
0
comments
2011-Radouane_Yafia-A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System
In this paper, we present a competition model of malignant tumor growth that includes the immune system response. The model considers two populations: immune system (effector cells) and population of tumor (tumor cells).
Immunology
tumor
hopf bifrucation
Potential Scenario
148
views
57
downloads
0
comments
2017-Bonin-EtAl-Mathematical modeling based on ordinary differential equations - promising approach to vaccinology
As a proof of concept, we developed a model of the immune response to vaccination against the yellow fever. Our simulations have shown consistent results when compared with experimental data available in the literature.
immune system
yellow fever
computational immunology
computational vaccinology
Potential Scenario
209
views
93
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
133
views
73
downloads
0
comments
2015-Pendrill-Eager-Free fall and harmonic oscillations analyzing trampoline jumps
In this work, the motion on a trampoline is modelled by assuming a linear relation between force and deflection, giving harmonic oscillations for small amplitudes.
Accelerometers
free fall
jump
trampoline
Modeling Scenario
399
views
421
downloads
0
comments
3-101-SpringMassFirstTry-NoResistance-ModelingScenario
Students build a model based on their perceptions of what the solution should look like for a simple spring mass system with no damping.
frequency
mass
oscillation
undamped
spring constant
spring\
Single Degree of Freedom System
Modeling Scenario
333
views
161
downloads
0
comments
3-102-SpringMassDamped-ModelingScenario
Students build a model based on their perceptions of what the solution should look like for a simple spring mass system with damping.
frequency
mass
oscillation
stiffness
spring constant
spring\
damped
Single Degree of Freedom System
coefficient
Potential Scenario
130
views
56
downloads
0
comments
2001-Tsoularis-Analysis of logistic growth models
variety of growth curves have been developed to model both unpredated, intraspecific population dynamics and more general biological growth. We further review and compare several such models.
logistic
Gompertz
Verhulst
Pearl and Reed
Bertalanffy
Modeling Scenario
308
views
125
downloads
0
comments
5-036-HalfCarVibration-ModelingScenario
Vibration vehicle models provide an opportunity to integrate vehicle-based vibrations into a mechanical engineering vibrations course. The project is on a multiple-degree-of-freedom (MDOF) including pitch and bounce of vehicle body on suspension...
vibration
vehicle
half-car model
finite element analysis
shock absorbers
suspension
Free Online Textbook
210
views
79
downloads
0
comments
2016-Rob_deBoer-Population Dynamics A Graphical Approach
This book is an introduction into modeling population dynamics in ecology. Because there are several good textbooks on this subject, the book needs a novel ecological niche to justify its existence.
mathematical model
stability
competition
SIR
bifurcation
consumption
population population dynamics
general replication
nonlinear density dependencies
functional response
persistence
phase plan analysis
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