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Downloads
Views
Date
Relevance
Potential Scenario
175
views
69
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
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
164
views
84
downloads
0
comments
2016-Bonin-EtAl-Mathematical modeling based on ordinary differential equations-vaccinology
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.
Immunology
immune system
Antigen
vaccinology
yellow fever
Modeling Scenario
222
views
130
downloads
0
comments
1-009-ICUSpread-ModelingScenario
We offer students the opportunity to model the percentage of voluntary nonprofit hospitals in the United States with Intensive Care Units during the period of 1958-1974.
logistic
sum of square errors
Intensive Care Unit
hospital
spread
Modeling Scenario
300
views
158
downloads
0
comments
3-015-StyrofoamBallFall-ModelingScenario
We are given data on a falling Styrofoam ball and we seek to model this motion.
football
resistance
gravity
falling body
sum of square errors
Newton's Second Law of Motion
sum of forces
styrofoam
Modeling Scenario
647
views
562
downloads
0
comments
1-032-WordPropagation-ModelingScenario
This activity is a gentle introduction to modeling via differential equations. The students will learn about exponential growth by modeling the rate at which the word jumbo has propagated through English language texts over time.
Google
exponential growth
language
word problems
etymology
Ngram
propagation
Jumbo
Potential Scenario
141
views
79
downloads
0
comments
2015-Khan-EtAl-How differential equations influence the tumor growth via mathematical models
This work demonstrates the importance of differential equations to develop mathematical model of tumor growth.
tumor
cancder
cancerous cells
immunotherapy
malignant
Article or Presentation
129
views
64
downloads
0
comments
1992-Emelie_Kenney-Differential_equations_and_the_AIDS_epidemic
This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study of first-order linear differential equations and the derivative as a rate of change.
data
first order
parameter
AIDS
Potential Scenario
297
views
78
downloads
0
comments
2017-Suebcharoen-Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
This paper studies the behavior of a predator-prey model with switching and stage-structure for predator.
stage structure
predator
prey
bifurcation
switching
Potential Scenario
146
views
40
downloads
0
comments
2012-José_Sérgio_Domingues-Gompertz Model - Resolution and Analysis for Tumors
The main objective of this paper is to use the Gompertz equation in order to study the development of blood irrigated solid tumors, using parameters defined in some important bibliographic references about the mathematical modelling of tumors.
tumor
Gompertz equation
growth tumor
Modeling Scenario
1186
views
3708
downloads
0
comments
1-005-OilSlick-ModelingScenario
We describe a modeling activity with difference and differential equations which enlightens students on the model building process and parameter estimation for a linear, first-order, non-homogeneous, ordinary differential equation.
model fitting
spreadsheets
Spanish
derrame de petróleo
datos
expansión
oil slick
Modeling Scenario
248
views
123
downloads
0
comments
3-040-FirstPassageTime-ModelingScenario
We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first passage time through 0 value with several applications.
oscillator
damped
underdamped
first passage
first passage time
spring mash dashpot
Modeling Scenario
213
views
236
downloads
0
comments
1-107-ClothDry-ModelingScenario
We build a mathematical model for the rate of drying in a wet cloth while hanging in air. A model can be based on underlying physical principles (analytic) or based on observations and reasoned equations, but no physical assumptions (empirical).
drying
cloth
evaporation
Potential Scenario
173
views
54
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
Modeling Scenario
1161
views
628
downloads
0
comments
3-065-UpDown-ModelingScenario
We model the height of a launched object which is subject to resistance proportional to velocity during its flight. We ask questions about the motion as well, e.g., highest point or apex and terminal velocity.
terminal velocity
Newton's Second Law of Motion
velocity
motion
apex
Potential Scenario
296
views
47
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
164
views
74
downloads
0
comments
2014-Michael_Monagan-The Mortgage Payment Problem Approximating a Discrete Process with a Differential Equation
In this article and a subsequent article I will give two non-standard examples that I've found helpful. The one presented here is a first order linear system. Second order systems and non-linear systems.
compartment
heating
house
Potential Scenario
156
views
88
downloads
0
comments
2015-Heiko_Enderling-Integrating experimental data to calibrate quantitative cancer models
For quantitative cancer models to be meaningful and interpretable the number of unknown parameters must be kept minimal. We focus on a tumor hierarchy of cancer stem and progenitor non-stem cancer cells.
cancer
tumor
fitting
agent-based
Potential Scenario
285
views
79
downloads
0
comments
2014-Blomhøj-EtAl-Compartment models
An overview of compartment models with many rich illustrations and much attention to various numerical methods in solutions of the resulting differential equations using Matlab. Also included is a section on the limitations of compartment models.
concentration
kinetics
physiology
compartment
salt
tank
balance
reactions
mink
bathtub
Modeling Scenario
478
views
196
downloads
0
comments
5-012-LipoproteinModeling-ModelingScenario
Data from a study on the amounts of low-density-lipoprotein (LDL), form of cholesterol, in blood plasma is presented. Students build, validate, and use a compartment model of the kinetic exchange of the LDL between body tissue and blood plasma.
wildlife
low-density-lipoprotein
tracer
compartment model
cholesterol
blood plasma
body tissue
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