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Downloads
Views
Date
Relevance
Potential Scenario
783
views
48
downloads
0
comments
2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.
time series
regression
response
impulse
oscillation
signal processing
sparse regression
system identification
Modeling Scenario
212
views
183
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
Potential Scenario
184
views
37
downloads
0
comments
2012-Michael_Kerckhove-From Population Dynamics to Partial Differential Equations
This article illustrates PDE models for location-dependent carrying capacities, migrations, and the dispersion of a population.
population dynamics
logistic equation
location-dependent carrying capacities
Potential Scenario
119
views
43
downloads
0
comments
2008-William_Revelle-Cues Tendencies and Actions-The Dynamics of Action Revisited
This article describes a reparameterization of the original theory of dynamics of action and applies the power of simple modeling to the study of action, emotions, and social behavior.
psychology
task reference
achievement motivation
dynamics of action
Potential Scenario
150
views
47
downloads
0
comments
2016-Wilkie-EtAl-Using ODEs to Explore Cancer-Immune Dynamics and Tumor Dormancy
Here we present a general method using ordinary differential equations (ODEs) to model and analyze cancer-immune interactions, and in particular, immune-induced tumor dormancy.
cancer
tumor-inhibiting cytotoxic action
tumor-promoting inflammation
immune-induced tumor dormancy
tumor growth dynamics
Potential Scenario
104
views
63
downloads
0
comments
2006-Shigui_Ruan-Delay differential equations in single species dynamics
In this survey, we shall review various delay differential equations models arising from studying single species dynamics.
allee_effect
delayed biological systems
food limit
periodiciity
recruitment model
Regulation of Haematopoiesis
Potential Scenario
162
views
36
downloads
0
comments
2016-Banks-EtAl-Modeling Bumble Bee Population Dynamics with Delay Differential Equations
To provide a tool for projecting and testing sensitivity of growth of populations under contrasting and combined pressures, we propose a delay differential equation model that describes multi-colony bumble bee population dynamics.
population model
Reproduction
spline approximations
Bombus terrestris
neonicotinoids
bumble bee
Potential Scenario
115
views
30
downloads
0
comments
2008-Huangi-Lu-Modeling long-term longitudinal HIV dynamics with applications to an AIDS clinical studyÂ
To better understand the factors responsible for the virological failure, this paper develops the mechanism-based nonlinear differential equation models for characterizing long-term viral dynamics with ARV therapy.
longitudinal data
AIDS
antiretroviral drug therapy
Bayesian nonlinear mixed-effects
time-varying drug efficacy
HIV dynamics
Potential Scenario
137
views
57
downloads
0
comments
2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in classical mechanics.
population dynamics
ecology
dynamics
classical mechanics
chemical reaction
Potential Scenario
101
views
37
downloads
0
comments
2009-Marten-EtAl-Derivation and analysis of an ordinary differential equation for epilepsy dynamics
In this paper we describe how an ordinary differential equation model of corticothalamic interactions may be obtained from a more general system of delay differential equations.
delay
epilepsy dynamics
epilepsy
bistability
seizure activity
Potential Scenario
92
views
39
downloads
0
comments
2001-Edwards-Buckmire-A differential equation model of North American cinematic box-office dynamics
A new mathematical model is presented for the box-office dynamics of a motion picture released in North America.
cinema
movies
box-office
Free Online Textbook
121
views
39
downloads
0
comments
2014-Andre_De Ross-Modeling Population Dynamics
This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.
predator-prey
competition
population
growth
bifrucation
text
Potential Scenario
88
views
34
downloads
0
comments
2011-Therese-Keane-Combat modelling with partial differential equations
We present work seeking to more realistically represent troop dynamics and to enable a deeper understanding of the nature of conflict.
Lanchester model
troop dynamics
swarming behavior
troop regrouping
losses
non-local terms
local terms
Modeling Scenario
228
views
199
downloads
0
comments
1-135-FishHarvesting-ModelingScenario
This short activity will walk students through a guided list of questions to help them to understand how the stability of equilibrium changes with changes in a model parameter, in this case the rate of harvesting fish.
population dynamics
fish
stability
bifurcation
harvest
Modeling Scenario
385
views
91
downloads
0
comments
6-017-OncolyticViruses-ModelingScenario
Students explore oncolytic virotherapy using systems of differential equations and numerical simulations.
cancer
cancer-immune dynamics
immune suppressor drug
oncolytic virus
virotherapy
Potential Scenario
116
views
42
downloads
0
comments
2006-Loyd-Wodarz-Drug Resistance in Acute Viral Infections-Rhinovirus as a Case Study
We develop an epidemiological model that can be used to address the spread of resistance at the population level, and a virus dynamics model that can be used to study the dynamics of virus over the time course of an individual’s infection.
stability
resistance
virus
drug
epidemic competition
immune response
rhinovirus
Potential Scenario
100
views
50
downloads
0
comments
2015-Peter_Cumber-Waggling pendulums and visualization in mechanics
This article describes an equation of motion for a waggling pendulum.
resonance
inverted pendulum
mechanics
damped pendulum
Potential Scenario
102
views
47
downloads
0
comments
2014-Murillo-EtAl-Vertical Transmission in a Two-Strain Model of Dengue Fever
The model is used to show that lower transmission rates of DENV-2 Asian are sufficient for displacing DENV-2 American in the presence of vertical transmission.
Peru
vector-host model
dengue
epidemmiology
vertical transmission
Potential Scenario
166
views
43
downloads
0
comments
2013-Gonzalez_Parra-Arenas-Mathematical Model for Social Security Systems with Dynamical Systems
In this paper it is proposed a mathematical approach based on dynamic systems to study the effect of the increase in the Social Security normal retirement age on the worker and on the dynamics of retiree populations.
dynamical systems
retirement model
Social Security
Potential Scenario
705
views
63
downloads
0
comments
2013-Fathalla_Rihan-Delay Differential Equations in Biosciences - Parameter estimation and sensitivity analysis
This is a review article to show that delay differential models have a richer mathematical framework (compared with models without memory or after-effects) and a better consistency with biological phenomena such dynamical diseases and cell growth...
epidemiology
sensitivity
Immunology
physiology
RK-methods
time-lags
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