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Downloads
Views
Date
Relevance
Potential Scenario
141
views
67
downloads
0
comments
2017-Allali-EtAl-Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection
The aim of this paper is to study the early stage of HBV infection and impact delay in the infection process on the adaptive immune response, which includes cytotoxic T-lymphocytes and antibodies.
logistic
HBV infection
adaptive immunie response
T-lymphocytes
Potential Scenario
277
views
83
downloads
0
comments
2009-Munz-EtAl-When Zombies Attack-Mathematical modelling of an Outbreak of Zombie Infection
We introduce a basic model for zombie infection, determine equilibria and their stability, and illustrate the outcome with numerical solutions.
zombies
infection
epidemic
water treatment
latent infection
quarantine
impulsive eradication
Potential Scenario
173
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
131
views
39
downloads
0
comments
2008-Yang-EtAl-Differential Equation Model of HIV Infection of CD T-Cells with DelayÂ
Abstract: An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a differential-delay model with a discrete time delay.
virus
T cells
Hopf bifurcation
endemic equilibrium
Potential Scenario
149
views
103
downloads
0
comments
2017-Fred_Adler-Mathematically Modeling Asthma
Our Asthma models have examined how a viral infection can tip the immune system into a different state, with the potential to predispose an individual to future asthma
infection
asthma
immune response
rhinovirus
Potential Scenario
147
views
51
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
Article or Presentation
129
views
33
downloads
0
comments
2002-Patrick_Nelson-Alan_Perelson-Mathematical_analysis_of_delay_differential _equation_models_of_HIV-1_infection
Models of HIV-1 infection that include intracellular delays are more accurate representations of the biology and change the estimated values of kinetic parameters when compared to models without delays.
delay
HIV-1
T cells
combination antiviral therapy
Potential Scenario
254
views
67
downloads
0
comments
2018-Van_Kinh Nguyen-Esteban_Hernandez-Vargas-Parameter estimation in mathematical models of viral infections using R
Mathematical modeling has played a central role to understand mechanisms in different viral infectious diseases. In this approach, biological-based hypotheses are expressed via mathematical relations and then tested based on empirical data.
simulation
disease
virus
viral infection
Potential Scenario
151
views
53
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
Potential Scenario
147
views
83
downloads
0
comments
2002-Dietz-Heesterbeek-Daniel Bernoulli-epidemiological model revisited
The seminal paper by Daniel Bernoulli published in 1766 is put into a new perspective. After a short account of smallpox inoculation and of Bernoulli’s life, the motivation for that paper and its impact are described.
life table
epidemic
smallpox
Daniel Bernoulli
competing risk
inoculation
Potential Scenario
127
views
45
downloads
0
comments
2020-Chen_Et_Al-MathModel_Simulation_Phase-Based_Transmissability_Corona_Virus
In this study, we developed a Bats-Hosts-Reservoir-People transmission network model for simulating the potential transmission from the infection source (probably be bats) to the human infection.
basic reproduction number
coronavirus
next generation matrix
transmissibility
novel coronavirus
Potential Scenario
166
views
70
downloads
0
comments
2011-Yanyu_Xiao-Study of Malaria Transmission Dynamics by Mathematical Models
The novelty lies in the fact that different distribution functions are used to describe the variance of individual latencies. The theoretical results of this project indicate that latencies reduce the basic reproduction number.
infectious disease
infection
malaria
latency
spatial dispersal
multi-species
Modeling Scenario
372
views
644
downloads
0
comments
6-007-FunctionsAndDerivativesInSIRModels-ModelingScenario
Given a system of differential equations, how do the solution graphs compare with the graphs of the differential equations? Students tackle this question using SIR models for well-known infectious diseases.
epidemiology
species interactions
derivatives
visualization
infection
SIR models
Law of Mass Action
Modeling Scenario
545
views
279
downloads
0
comments
1-104A-T-InfectionRisk-ModelingScenario
This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions and comparing to actual disease data sets.
regression
infection
COVID19
carrying capacity
logistic equation
exponential model
Potential Scenario
167
views
93
downloads
0
comments
2014-Rogert_Smith-Mathematical Modeling of Zombies
Here, we use diffusion to model the zombie population shuffling randomly over a one-dimensional domain.
kinetics
Zombie
zombification
interaction times
Modeling Scenario
310
views
137
downloads
0
comments
1-104-InfectionRisk-ModelingScenario
This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions.
infection
logistic
exponential
covid
carrying capacity
Modeling Scenario
322
views
494
downloads
0
comments
6-016-PandemicModeling-ModelingScenario
The recent coronavirus outbreak has infected millions of people worldwide and spread to over 200 countries. How can we use differential equations to study the spread of coronavirus?
population dynamics
infectious disease
disease
Ebola
e
SIR models
COVID19
pandemic
epidemic
reproduction number
Potential Scenario
246
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
183
views
80
downloads
0
comments
2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model
Deterministic compartmental models form the simplest models in the mathematical study of infectious disease dynamics. They assume that a population is homogenous (all people are the same) and the only distinction is in their disease state.
sensitivity
disease
infection
threshold
compartment
bifrucation
Potential Scenario
147
views
44
downloads
0
comments
2006-Ousmane_Mousa_Tessa-Mathematical model for control of measles by vaccination
In this article, we use a compartmental mathematical model of the dynamics of measles spread within a population with variable size to provide this framework.
vaccination
compartment
herd immunity
measles
optimal strategy
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