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Views
Date
Relevance
Potential Scenario
242
views
99
downloads
0
comments
2017-Chávez-EtAl-Modeling and Analysis of Integrated Pest Control Strategies via Impulsive Differential Equations
The paper is concerned with the development and numerical analysis of mathematical models used to describe complex biological systems in the framework of Integrated Pest Management (IPM).
bifurcations
chaos
impulsive model
limit cycles
hysteretic effects
period-doubling cascades
Potential Scenario
145
views
83
downloads
0
comments
2014-Wang-EtAl-Estimating Mixed-Effects Differential Equation Models
When multiple replicates of measurements are available for the dynamic process, it is of great interest to estimate mixed-effects in the ODE model for the process. We propose a semiparametric method to estimate mixed-effects ODE models.
pharmacokinetics
dynamic models
smoothing
spline
mixed-effects models
HiV combination therapy
Potential Scenario
198
views
70
downloads
0
comments
2015-Valerie_Billard-Pharmacokinetic-pharmacodynamic relationship of anesthetic drugs - from modeling to clinical use
The purpose of this short review is to describe the basis of pharmacokinetics and modeling, the concentration-effects relationship, and drug interactions modeling to offer to anesthesiologists and non-anesthesiologists an overview of the rules to...
anesthesia
pharmacokinetics
pharmacodynamic
anesthetic
Modeling Scenario
374
views
331
downloads
0
comments
9-005-InvasiveSpeciesModel-ModelingScenario
This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their own model which takes into account dispersion.
Invasive Species
logistic
migration
traveling waves
dispersion
Potential Scenario
204
views
70
downloads
0
comments
2014-Eckhoff-EtAl-Fun with maths-exploring implications of mathematical models for malaria eradication
. In this note, four examples demonstrate both the effects of model structures and assumptions and also the benefits of using a diversity of model approaches fomalaria eradication strategies.
vaccine
malaria
migration
eradication
seasonality
Potential Scenario
216
views
82
downloads
0
comments
2018-W_Hohenauer-Physical modelling based on first order ODEs
An introduction in techniques to solve first order ODE´s is given. Barometric formula, charging and discharging of a capacitor including its application for AMV, magnetic induction and growth effects are discussed.
discharge
capacitor
magnetic field
induction
magnetic induction
Potential Scenario
138
views
50
downloads
0
comments
1987-MS_Greenwood-Using videotapes to study underdamped motion of a pendulum
Using a video camera to study the effects of air resistance acting on pendulum bob, ping-pong ball, styrofoam spheres, and brass spheres.
Video
resistance
pendulum
ping-pong ball
styrofoam ball
brass ball
Potential Scenario
144
views
42
downloads
0
comments
1989-Protopopescu-Santoro-Dockery-Combat modeling with partial differential equations
We propose an extension of the classical modeling of combat via Lanchester equations to include one-dimensional spatial effects.
combat
Lanchester
Potential Scenario
254
views
62
downloads
0
comments
2011-Cruz-Aponte-Herrera-Valdez-Mitigating effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administrati
We present a SIR-like model that explicitly takes into account vaccine supply and the number of vaccines administered per day and places data-informed limits on these parameters.
vaccination
infection
SIR
epidemic
Potential Scenario
199
views
65
downloads
0
comments
2008-Huet-Deffuant-Differential Equation Models Derived from an Individual-Based Model Can Help to Understand Emergent Effects
We study a model of primacy effect on individual's attitude. Typically, when receiving a strong negative feature first, the individual keeps a negative attitude whatever the number of moderate positive features it receives afterwards.
agent-based model
primacy effect
information filtering
aggregated model
collective
interactions
double-modelling
Potential Scenario
772
views
73
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
Potential Scenario
219
views
46
downloads
0
comments
1980-Peastrel-Lynch-Armenti-Terminal velocity of a shuttlecock in vertical fall
We have performed a straightforward vertical fall experiment for a case where the effects of air resistance are important and directly measurable.
falling
terminal velocity
shuttlecock
vertical fall
Potential Scenario
147
views
47
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
250
views
86
downloads
0
comments
1975-David_Burghes-Population dynamics An introduction to differential equations
In this paper a number of population models, which lead to differential equations, are derived. First-order variables separable equations are formulated from the Malthusian population model and its extension to include crowding effects.
fish
predator-prey
logistic
population
delay
lag
Potential Scenario
157
views
54
downloads
0
comments
2009-Noakes-Sleigh-Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards
Understanding the risk of airborne transmission can provide important information for designing safe healthcare environments with an appropriate level of environmental control for mitigating risks.
infection
compartment
hospital
ventilation
airborne
sthochastic
Wells–Riley
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